(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 172089, 5852]*) (*NotebookOutlinePosition[ 172756, 5875]*) (* CellTagsIndexPosition[ 172712, 5871]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Adiabatic Reactors: Multiple Steady States", "Subsubtitle", FontSize->18, FontVariations->{"CompatibilityType"->0}], StyleBox["\n", FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}], StyleBox["Author's Data", FontSize->14, FontWeight->"Bold"], StyleBox[": ", FontSize->14], StyleBox["Housam BINOUS\nDepartment of Chemical Engineering\nNational \ Institute of Applied Sciences and Technology\nTunis, TUNISIA\nEmail: \ binoushousam@yahoo.com ", FontSize->14, FontWeight->"Plain"] }], "Title", TextAlignment->Center, Background->RGBColor[0.605478, 0.996109, 0.605478]], Cell[TextData[{ StyleBox["Acknowledgement :", FontWeight->"Bold"], "\nNumerical values were obtained from The Engineering of Chemical \ Reactions, Lanny D. Schmidt, Oxford University Press, 1998." }], "Subsubtitle", Background->RGBColor[0.773449, 0.996109, 0.996109]], Cell[CellGroupData[{ Cell["\<\ Relationship between temperature and concentration for an adiabatic CSTR and \ an adiabatic PFTR\ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell[BoxData[ \(Sol1 = Solve[\[Rho]\ \(c\_p\) \((T - T0)\) + \((C\_A0 - x)\) \((\(-\[CapitalDelta]H\))\) \[Equal] 0, T] // FullSimplify\)], "Input"], Cell[BoxData[ \({{T \[Rule] \(T0\ \[Rho]\ c\_p + \[CapitalDelta]H\ \((\(-x\) + C\_A0)\)\ \)\/\(\[Rho]\ c\_p\)}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Sol2 = Solve[\((\[Rho]\ \(c\_p\) \((T - T0)\) + \((\(-\[CapitalDelta]H\))\) \((C\_A0 - x)\))\) \[Equal] 0, x]\)], "Input"], Cell[BoxData[ \({{x \[Rule] \(\(-T\)\ \[Rho]\ c\_p + T0\ \[Rho]\ c\_p + \ \[CapitalDelta]H\ C\_A0\)\/\[CapitalDelta]H}}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Numerical values", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[BoxData[ \(\(k\_0 = 2.6\ 10^20;\)\)], "Input"], Cell["Ea=15000 8.314;", "Input"], Cell[BoxData[ \(\(\[CapitalDelta]H = 20000;\)\)], "Input"], Cell["T0=300;", "Input"], Cell["R=8.314;", "Input"], Cell[BoxData[ \(\(\[Rho] = 20000/c\_p\ 1/20. ;\)\)], "Input"], Cell[BoxData[ \(\(C\_A0 = 2;\)\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Relationship between temperature and concentration for an adiabatic CSTR and \ an adiabatic PFTR\ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["T[a_]:=First[T/.Sol1/.x->a]", "Input"] }, Closed]], Cell[CellGroupData[{ Cell["rate constant", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[BoxData[ \(k[x_] := k\_0\ Exp[\(-Ea\)/\((R\ T[x])\)]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["reaction rate", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["r[x_]:=k[x] x", "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Concentration versus residence time for an adiabatic CSTR", \ "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell["\<\ pp=Plot[(2-x)/r[x],{x,0,2},PlotStyle->RGBColor[0,1,0],DisplayFunction\[Rule]\ Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ pp1=Show[pp/.\[InvisibleSpace]x_Line\[RuleDelayed]Map[Reverse,x,{2}],\ DisplayFunction\[Rule]$DisplayFunction];\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.264423 0.0147151 0.294302 [ [.15602 .00222 -9 -9 ] [.15602 .00222 9 0 ] [.28823 .00222 -3 -9 ] [.28823 .00222 3 0 ] [.42044 .00222 -9 -9 ] [.42044 .00222 9 0 ] [.55266 .00222 -3 -9 ] [.55266 .00222 3 0 ] [.68487 .00222 -9 -9 ] [.68487 .00222 9 0 ] [.81708 .00222 -3 -9 ] [.81708 .00222 3 0 ] [.94929 .00222 -9 -9 ] [.94929 .00222 9 0 ] [.01131 .16187 -18 -4.5 ] [.01131 .16187 0 4.5 ] [.01131 .30902 -6 -4.5 ] [.01131 .30902 0 4.5 ] [.01131 .45617 -18 -4.5 ] [.01131 .45617 0 4.5 ] [.01131 .60332 -6 -4.5 ] [.01131 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .15602 .01472 m .15602 .02097 L s [(0.5)] .15602 .00222 0 1 Mshowa .28823 .01472 m .28823 .02097 L s [(1)] .28823 .00222 0 1 Mshowa .42044 .01472 m .42044 .02097 L s [(1.5)] .42044 .00222 0 1 Mshowa .55266 .01472 m .55266 .02097 L s [(2)] .55266 .00222 0 1 Mshowa .68487 .01472 m .68487 .02097 L s [(2.5)] .68487 .00222 0 1 Mshowa .81708 .01472 m .81708 .02097 L s [(3)] .81708 .00222 0 1 Mshowa .94929 .01472 m .94929 .02097 L s [(3.5)] .94929 .00222 0 1 Mshowa .125 Mabswid .05025 .01472 m .05025 .01847 L s .07669 .01472 m .07669 .01847 L s .10314 .01472 m .10314 .01847 L s .12958 .01472 m .12958 .01847 L s .18246 .01472 m .18246 .01847 L s .20891 .01472 m .20891 .01847 L s .23535 .01472 m .23535 .01847 L s .26179 .01472 m .26179 .01847 L s .31467 .01472 m .31467 .01847 L s .34112 .01472 m .34112 .01847 L s .36756 .01472 m .36756 .01847 L s .394 .01472 m .394 .01847 L s .44689 .01472 m .44689 .01847 L s .47333 .01472 m .47333 .01847 L s .49977 .01472 m .49977 .01847 L s .52621 .01472 m .52621 .01847 L s .5791 .01472 m .5791 .01847 L s .60554 .01472 m .60554 .01847 L s .63198 .01472 m .63198 .01847 L s .65842 .01472 m .65842 .01847 L s .71131 .01472 m .71131 .01847 L s .73775 .01472 m .73775 .01847 L s .76419 .01472 m .76419 .01847 L s .79064 .01472 m .79064 .01847 L s .84352 .01472 m .84352 .01847 L s .86996 .01472 m .86996 .01847 L s .8964 .01472 m .8964 .01847 L s .92285 .01472 m .92285 .01847 L s .97573 .01472 m .97573 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .16187 m .03006 .16187 L s [(0.5)] .01131 .16187 1 0 Mshowa .02381 .30902 m .03006 .30902 L s [(1)] .01131 .30902 1 0 Mshowa .02381 .45617 m .03006 .45617 L s [(1.5)] .01131 .45617 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(2)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .04415 m .02756 .04415 L s .02381 .07358 m .02756 .07358 L s .02381 .10301 m .02756 .10301 L s .02381 .13244 m .02756 .13244 L s .02381 .1913 m .02756 .1913 L s .02381 .22073 m .02756 .22073 L s .02381 .25016 m .02756 .25016 L s .02381 .27959 m .02756 .27959 L s .02381 .33845 m .02756 .33845 L s .02381 .36788 m .02756 .36788 L s .02381 .39731 m .02756 .39731 L s .02381 .42674 m .02756 .42674 L s .02381 .4856 m .02756 .4856 L s .02381 .51503 m .02756 .51503 L s .02381 .54446 m .02756 .54446 L s .02381 .57389 m .02756 .57389 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 0 r .5 Mabswid 1 .02421 m .94433 .02482 L .83254 .02634 L .74928 .02781 L .679 .02938 L .58445 .0322 L .54036 .03392 L .50559 .03555 L .45344 .03859 L .41179 .04176 L .3774 .04511 L .33206 .0511 L .31298 .05444 L .29798 .05755 L .27129 .06463 L .25328 .07109 L .24006 .07721 L .22213 .08868 L .21531 .09465 L .20946 .10099 L .2017 .11237 L .19882 .11816 L .19638 .1244 L .1946 .1303 L .19338 .1357 L .19286 .13863 L .19241 .14176 L .19208 .14471 L .19185 .1474 L .19175 .14904 L .19167 .15055 L .19164 .15141 L .19161 .15222 L .19159 .15306 L .19158 .1535 L .19158 .15398 L .19157 .15477 L .19157 .15522 L .19157 .15564 L .19157 .15641 L .19158 .15722 L .19159 .15803 L .19161 .15878 L .19166 .16019 L .19172 .16168 L .1918 .16308 L .19202 .16624 L .19231 .16932 L .19269 .17262 L .19455 .18405 L Mistroke .1959 .19035 L .19763 .1972 L .20139 .20964 L .21129 .23488 L .22342 .25918 L .23732 .28254 L .25432 .30742 L .27262 .33136 L .29378 .35682 L .31523 .38134 L .33597 .40493 L .35666 .43003 L .37303 .45419 L .37637 .46054 L .37939 .46741 L .38053 .47056 L .38157 .4739 L .38236 .47702 L .38292 .47987 L .38314 .48131 L .38333 .48287 L .3834 .48359 L .38346 .48435 L .38351 .48507 L .38354 .48572 L .38357 .48646 L .38358 .48726 L .38358 .48796 L .38357 .4887 L .38354 .48951 L .38349 .49027 L .38343 .4911 L .38334 .49199 L .38316 .49346 L .38289 .49504 L .38223 .49793 L .38136 .50073 L .38034 .50332 L .37715 .5093 L .37301 .5149 L .36704 .52105 L .35875 .52765 L .34891 .5339 L .3357 .54072 L .30395 .55314 L .26135 .56531 L .20054 .57828 L .12066 .59117 L .02381 .60332 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOolh0n02Ool001Eoo`03 001oogoo0:=oob/3h3Yoo`005Goo00<007ooOol0QGoo7P?PIGoo000EOol00`00Oomoo`1]OolH0n23 Ool001Eoo`03001oogoo069oo`/3h9]oo`005Goo0P00G7oo1`?PYWoo000EOol00`00Oomoo`1EOol6 0n2]Ool001Eoo`03001oogoo04moo`H3h;=oo`005Goo00<007ooOol0Bgoo10?P^Goo000EOol00`00 Oomoo`17Ool40n2mOol001Eoo`03001oogoo04=oo`@3h<5oo`005Goo00<007ooOol0?Woo1@?PaGoo 000EOol00`00Oomoo`0kOol30n3:Ool001Eoo`8003Yoo`83h7oo00<3 h7ooOol0cGoo000EOol00`00Oomoo`0fOol20n3@Ool001Eoo`03001oogoo03Aoo`83h=9oo`005Goo 00<007ooOol0Goo00<3h7ooOol0c7oo000EOol00`00Oomoo`0j Ool00`?POomoo`3;Ool000eoo`D000=oo`03001oogoo03]oo`030n1oogoo0goo00<3h7ooOol0bWoo000?Ool00`00Oomoo`03Ool3000lOol00`?POomo o`39Ool000moo`03001oogoo00=oo`03001oogoo03eoo`030n1oogoo0Ool20005Ool00`00Oomoo`0oOol00`?POomoo`36 Ool001Eoo`03001oogoo03moo`030n1oogoo0io o`003Goo100017oo00<007ooOol02goo20?PmGoo000=Ool00`00Oomoo`05Ool00`00Oomoo`02Ool9 0n3mOol000ioo`03001oogoo00Aoo`D3h?moo`Moo`003goo00<007ooOol00goo00<007ooOol0ogoo 2Goo000=Ool01000Oomoo`0017oo00<007ooOol0ogoo2Goo000>Ool20005Ool00`00Oomoo`3oOol9 Ool001Eoo`03001oogoo0?moo`Uoo`00\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.298891, -0.15494, \ 0.0139091, 0.012497}}] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Concentration versus residence time for an adiabatic PFTR", \ "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["\<\ \[Tau][C_]:=NIntegrate[1/r[x],{x,2,C}]\ \>", "Input"], Cell[CellGroupData[{ Cell["\<\ kk=Plot[-\[Tau][x],{x,0,2},PlotStyle->RGBColor[1,0,0],DisplayFunction\[Rule]\ Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ kk1=Show[kk/.\[InvisibleSpace]x_Line\[RuleDelayed]Map[Reverse,x,{2}],\ DisplayFunction\[Rule]$DisplayFunction];\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.19935 0.0147151 0.294302 [ [.22316 .00222 -3 -9 ] [.22316 .00222 3 0 ] [.42251 .00222 -3 -9 ] [.42251 .00222 3 0 ] [.62186 .00222 -3 -9 ] [.62186 .00222 3 0 ] [.82121 .00222 -3 -9 ] [.82121 .00222 3 0 ] [.01131 .16187 -18 -4.5 ] [.01131 .16187 0 4.5 ] [.01131 .30902 -6 -4.5 ] [.01131 .30902 0 4.5 ] [.01131 .45617 -18 -4.5 ] [.01131 .45617 0 4.5 ] [.01131 .60332 -6 -4.5 ] [.01131 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .22316 .01472 m .22316 .02097 L s [(1)] .22316 .00222 0 1 Mshowa .42251 .01472 m .42251 .02097 L s [(2)] .42251 .00222 0 1 Mshowa .62186 .01472 m .62186 .02097 L s [(3)] .62186 .00222 0 1 Mshowa .82121 .01472 m .82121 .02097 L s [(4)] .82121 .00222 0 1 Mshowa .125 Mabswid .06368 .01472 m .06368 .01847 L s .10355 .01472 m .10355 .01847 L s .14342 .01472 m .14342 .01847 L s .18329 .01472 m .18329 .01847 L s .26303 .01472 m .26303 .01847 L s .3029 .01472 m .3029 .01847 L s .34277 .01472 m .34277 .01847 L s .38264 .01472 m .38264 .01847 L s .46238 .01472 m .46238 .01847 L s .50225 .01472 m .50225 .01847 L s .54212 .01472 m .54212 .01847 L s .58199 .01472 m .58199 .01847 L s .66173 .01472 m .66173 .01847 L s .7016 .01472 m .7016 .01847 L s .74147 .01472 m .74147 .01847 L s .78134 .01472 m .78134 .01847 L s .86108 .01472 m .86108 .01847 L s .90095 .01472 m .90095 .01847 L s .94082 .01472 m .94082 .01847 L s .98069 .01472 m .98069 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .16187 m .03006 .16187 L s [(0.5)] .01131 .16187 1 0 Mshowa .02381 .30902 m .03006 .30902 L s [(1)] .01131 .30902 1 0 Mshowa .02381 .45617 m .03006 .45617 L s [(1.5)] .01131 .45617 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(2)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .04415 m .02756 .04415 L s .02381 .07358 m .02756 .07358 L s .02381 .10301 m .02756 .10301 L s .02381 .13244 m .02756 .13244 L s .02381 .1913 m .02756 .1913 L s .02381 .22073 m .02756 .22073 L s .02381 .25016 m .02756 .25016 L s .02381 .27959 m .02756 .27959 L s .02381 .33845 m .02756 .33845 L s .02381 .36788 m .02756 .36788 L s .02381 .39731 m .02756 .39731 L s .02381 .42674 m .02756 .42674 L s .02381 .4856 m .02756 .4856 L s .02381 .51503 m .02756 .51503 L s .02381 .54446 m .02756 .54446 L s .02381 .57389 m .02756 .57389 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid .97619 .01472 m .86199 .01544 L .85476 .0161 L .84983 .01687 L .84655 .01759 L .84233 .01887 L .83899 .02026 L .83613 .0218 L .83367 .02342 L .83017 .02634 L .82505 .03217 L .82089 .03859 L .81442 .05204 L .80968 .06463 L .80216 .0886 L .79504 .11407 L .78836 .13862 L .78175 .16222 L .77427 .18734 L .76638 .21152 L .75701 .23722 L .74673 .26199 L .73537 .28581 L .7213 .31115 L .70534 .33556 L .68722 .35902 L .6642 .38401 L .63753 .40806 L .60308 .43362 L .5624 .45824 L .51451 .48193 L .45163 .50714 L .37634 .53141 L .28662 .55474 L .16722 .57958 L .02381 .60332 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol0 0g`0Oomoo`0gOol001Eoo`03001oogoo07oo000EOol00`00Oomoo`3=Ool00g`0Oomoo`0hOol0 01Eoo`03001oogoo0Goo0002 Ool20004Ool20004Ool20005Ool00`00Oomoo`3Woo00001Goo001oogoo00002goo00<0 07ooOol00Woo0`00bgoo00=l07ooOol0>Woo00001Goo001oogoo00002Goo0P001Goo00<007ooOol0 bgoo00=l07ooOol0>Woo00001Goo001oogoo00002Goo00<007ooOol017oo00<007ooOol0bWoo00=l 07ooOol0>goo0002Ool2000:Ool30004Ool00`00Oomoo`3:Ool00g`0Oomoo`0kOol001Eoo`03001o ogoo0goo000EOol00`00Oomo o`39Ool00g`0Oomoo`0lOol001Eoo`03001oogoo0Ool001Eoo`03001oogoo07Eoo`=l091oo`00 5Goo00<007ooOol0Lgoo0W`0Tgoo000EOol00`00Oomoo`1`Ool3O02EOol001Eoo`03001oogoo06eo o`=l09Qoo`005Goo0P00JWoo17`0Vgoo000EOol00`00Oomoo`1VOol3O02OOol001Eoo`03001oogoo 06=oo`=l0:9oo`005Goo00<007ooOol0Ggoo17`0YGoo000EOol00`00Oomoo`1LOol3O02YOol001Eo o`03001oogoo05Qoo`Al0:aoo`005Goo00<007ooOol0EGoo0g`0/7oo000EOol00`00Oomoo`1AOol4 O02cOol001Eoo`8004ioo`Al0;Moo`005Goo00<007ooOol0BWoo0g`0^goo000EOol00`00Oomoo`16 Ool4O02nOol001Eoo`03001oogoo049oo`Al0<9oo`005Goo00<007ooOol0?Woo17`0aWoo000EOol0 0`00Oomoo`0iOol5O03:Ool001Eoo`03001oogoo03Eoo`Al0eoo`005Goo00<0 07ooOol03Woo1W`0m7oo000=Ool40004Ool00`00Oomoo`07Ool7O03jOol000eoo`03001oogoo00Eo o`04001oogooOol6O03oOol2Ool000ioo`03001oogoo00Aoo`Al0?moo`Qoo`003goo00<007ooOol0 0goo00<007ooOol0ogoo2Goo000=Ool01000Oomoo`0017oo00<007ooOol0ogoo2Goo000>Ool20005 Ool00`00Oomoo`3oOol9Ool001Eoo`03001oogoo0?moo`Uoo`00\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.396456, -0.15494, \ 0.0184494, 0.012497}}] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Concentration versus residence time for an adiabatic PFTR and an adibatic \ CSTR. We find that the CSTR require much smaller residence times than the \ PFTR. \ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell["Show[pp1,kk1,PlotRange->{{0,5},{0,2}}]", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-017 0.2 0 0.309017 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [-0.0125 .07725 -24 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -18 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -24 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -6 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -24 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -18 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -24 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(1)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(2)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(3)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(4)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(5)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(0.25)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(0.5)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(0.75)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(1)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(1.25)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(1.5)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(1.75)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(2)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 0 r .5 Mabswid 1 .00723 m .97747 .00739 L .82364 .00886 L .75262 .00976 L .69625 .01061 L .6117 .01221 L .54872 .01375 L .49556 .0154 L .42405 .01836 L .3907 .02017 L .3644 .02188 L .32496 .02507 L .29345 .0284 L .26745 .03191 L .23315 .03821 L .21872 .04171 L .20737 .04498 L .18719 .05241 L .17356 .0592 L .16356 .06562 L .15 .07766 L .14484 .08393 L .14042 .09058 L .13455 .10254 L .13237 .10862 L .13052 .11517 L .12918 .12136 L .12826 .12704 L .12786 .13011 L .12752 .1334 L .12727 .1365 L .1271 .13932 L .12702 .14104 L .12697 .14263 L .12694 .14353 L .12692 .14438 L .12691 .14526 L .1269 .14572 L .12689 .14623 L .12689 .14706 L .12689 .14754 L .12689 .14797 L .12689 .14878 L .1269 .14963 L .12691 .15048 L .12692 .15127 L .12695 .15275 L .127 .15432 L .12706 .15578 L .12723 .1591 L Mistroke .12745 .16234 L .12773 .1658 L .12914 .1778 L .13017 .18442 L .13147 .19161 L .13432 .20467 L .1418 .23117 L .15098 .25669 L .16149 .28122 L .17435 .30734 L .18819 .33248 L .2042 .35921 L .22042 .38496 L .2361 .40972 L .25175 .43608 L .26414 .46145 L .26666 .46812 L .26895 .47533 L .26981 .47864 L .2706 .48214 L .27119 .48542 L .27162 .48841 L .27178 .48992 L .27193 .49157 L .27198 .49232 L .27203 .49312 L .27206 .49387 L .27209 .49455 L .27211 .49533 L .27212 .49617 L .27212 .49691 L .27211 .49768 L .27208 .49854 L .27205 .49934 L .272 .50021 L .27194 .50114 L .2718 .50268 L .2716 .50435 L .2711 .50737 L .27044 .51032 L .26967 .51304 L .26726 .51932 L .26412 .5252 L .25961 .53165 L .25333 .53858 L .24589 .54515 L .2359 .55231 L .21189 .56535 L .17966 .57813 L .13367 .59174 L Mistroke .07325 .60528 L 0 .61803 L Mfstroke 1 0 0 r .95549 0 m .84092 .00076 L .83366 .00146 L .82871 .00226 L .82542 .00302 L .82119 .00436 L .81783 .00582 L .81496 .00744 L .8125 .00914 L .80899 .01221 L .80385 .01833 L .79968 .02507 L .79319 .03919 L .78843 .05241 L .78089 .07758 L .77375 .10433 L .76704 .1301 L .76041 .15488 L .7529 .18126 L .74499 .20665 L .73559 .23363 L .72528 .25963 L .71388 .28465 L .69976 .31126 L .68375 .33688 L .66557 .36153 L .64248 .38776 L .61572 .41301 L .58116 .43985 L .54035 .4657 L .4923 .49058 L .42922 .51704 L .35368 .54252 L .26366 .56702 L .14388 .59311 L 0 .61803 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00`00Oomoo`0_Ool00`00Oomo o`0bOol00`00Oomoo`0^Ool5000bOol10001Ool1Ool004ioo`03001oogoo031oo`03001oogoo039o o`03001oogoo02eoo`04001oogoo000aOol20003Ool004ioo`03001oogoo02ioo`04001oogoo000` Ool01000Oomoo`00<7oo00<007oo00007oo000K Ool2000ZOol20n2KOol00g`0Oomoo`0iOol001]oo`03001oogoo02Moo`83h9eoo`03O01oogoo03Uo o`000Woo0P0017oo0P000goo10000goo0P001Goo00<007ooOol09Woo00<3h7ooOol0WGoo00=l07oo Ool0>Goo00001Goo001oogoo000027oo00<007ooOol00goo00@007ooOol000Aoo`03001oogoo02Ao o`83h9moo`03O01oogoo03Yoo`0000Eoo`00Oomoo`0000Uoo`03001oogoo00Eoo`03001oogoo009o o`8002Aoo`030n1oogoo09moo`03O01oogoo03Yoo`0000Eoo`00Oomoo`0000Yoo`03001oogoo009o o`8000Eoo`03001oogoo029oo`030n1oogoo0:1oo`03O01oogoo03Yoo`0000Eoo`00Oomoo`0000Qo o`04001oogoo0003Ool00`00Oomoo`04Ool00`00Oomoo`0ROol00`?POomoo`2OOol00g`0Oomoo`0k Ool0009oo`8000Yoo`8000Aoo`<000Aoo`03001oogoo025oo`030n1oogoo0:1oo`03O01oogoo03]o o`006goo0P008Woo00<3h7ooOol0X7oo00=l07ooOol0>goo000KOol00`00Oomoo`0POol00`?POomo o`2QOol00g`0Oomoo`0kOol001]oo`03001oogoo021oo`030n1oogoo0:1oo`03O01oogoo03aoo`00 6goo00<007ooOol07goo00<3h7ooOol0XGoo00=l07ooOol0?7oo000KOol2000POol00`?POomoo`2Q Ool00g`0Oomoo`0lOol001]oo`03001oogoo01ioo`030n1oogoo0:9oo`03O01oogoo03aoo`006goo 00<007ooOol07Woo00<3h7ooOol0XWoo00=l07ooOol0?7oo000KOol00`00Oomoo`0NOol00`?POomo o`2QOol00g`0Oomoo`0mOol001]oo`8001moo`030n1oogoo0:5oo`03O01oogoo03eoo`006goo00<0 07ooOol07Woo00<3h7ooOol0XGoo00=l07ooOol0?Goo000KOol00`00Oomoo`0NOol00`?POomoo`2Q Ool00g`0Oomoo`0mOol001]oo`03001oogoo01eoo`030n1oogoo0:9oo`03O01oogoo03eoo`006goo 0P007Woo00<3h7ooOol0XGoo00=l07ooOol0?Woo000KOol00`00Oomoo`0MOol00`?POomoo`2QOol0 0g`0Oomoo`0nOol000Qoo`8000Aoo`8000Aoo`8000Eoo`03001oogoo01eoo`030n1oogoo0:5oo`03 O01oogoo03ioo`001goo00@007ooOol000Qoo`04001oogoo0004Ool00`00Oomoo`0MOol00`?POomo o`2POol00g`0Oomoo`0oOol000Moo`04001oogoo000;Ool00`00Oomoo`02Ool2000NOol00`?POomo o`2POol00g`0Oomoo`0oOol000Moo`04001oogoo0009Ool20005Ool00`00Oomoo`0MOol00`?POomo o`2POol00g`0Oomoo`0oOol000Moo`04001oogoo0009Ool00`00Oomoo`04Ool00`00Oomoo`0MOol0 0`?POomoo`2OOol00g`0Oomoo`10Ool000Qoo`8000Yoo`<000Aoo`03001oogoo01ioo`030n1oogoo 09ioo`03O01oogoo041oo`006goo0P007goo00<3h7ooOol0WWoo00=l07ooOol0@7oo000KOol00`00 Oomoo`0NOol00`?POomoo`2NOol00g`0Oomoo`10Ool001]oo`03001oogoo01ioo`030n1oogoo09eo o`03O01oogoo045oo`006goo00<007ooOol07Woo00<3h7ooOol0WGoo00=l07ooOol0@Goo000KOol2 000OOol00`?POomoo`2MOol00g`0Oomoo`11Ool001]oo`03001oogoo01ioo`030n1oogoo09aoo`03 O01oogoo049oo`006goo00<007ooOol07Woo00<3h7ooOol0W7oo00=l07ooOol0@Woo000KOol00`00 Oomoo`0NOol00`?POomoo`2LOol00g`0Oomoo`12Ool001]oo`80021oo`030n1oogoo09]oo`03O01o ogoo049oo`006goo00<007ooOol07goo00<3h7ooOol0VWoo00=l07ooOol0@goo000KOol00`00Oomo o`0OOol00`?POomoo`2JOol00g`0Oomoo`13Ool001]oo`03001oogoo021oo`030n1oogoo09Uoo`03 O01oogoo04=oo`006goo0P008Goo00<3h7ooOol0V7oo00=l07ooOol0A7oo000KOol00`00Oomoo`0P Ool00`?POomoo`2HOol00g`0Oomoo`14Ool0009oo`8000Aoo`8000Eoo`03001oogoo009oo`8000Eo o`03001oogoo021oo`030n1oogoo09Qoo`03O01oogoo04Aoo`0000Eoo`00Oomoo`0000Yoo`05001o ogooOol00002Ool00`00Oomoo`02Ool00`00Oomoo`0QOol00`?POomoo`2GOol00g`0Oomoo`14Ool0 0005Ool007ooOol0000:Ool00`00Oomoo`04Ool00`00Oomoo`02Ool2000ROol00`?POomoo`2FOol0 0g`0Oomoo`15Ool00005Ool007ooOol0000;Ool01000Oomoogoo0P001Goo00<007ooOol08Goo00<3 h7ooOol0UWoo00=l07ooOol0AGoo00001Goo001oogoo000027oo00@007ooOol000=oo`03001oogoo 00Aoo`03001oogoo029oo`030n1oogoo09Aoo`03O01oogoo04Ioo`000Woo0P002Goo10000goo0`00 17oo00<007ooOol08Woo00<3h7ooOol0U7oo00=l07ooOol0AWoo000KOol2000SOol00`?POomoo`2C Ool00g`0Oomoo`17Ool001]oo`03001oogoo02=oo`030n1oogoo099oo`03O01oogoo04Moo`006goo 00<007ooOol08goo00<3h7ooOol0TGoo00=l07ooOol0B7oo000KOol00`00Oomoo`0SOol00`?POomo o`2AOol00g`0Oomoo`18Ool001]oo`8002Eoo`030n1oogoo091oo`03O01oogoo04Qoo`006goo00<0 07ooOol097oo00<3h7ooOol0Sgoo00=l07ooOol0BGoo000KOol00`00Oomoo`0UOol00`?POomoo`2> Ool00g`0Oomoo`19Ool001]oo`03001oogoo02Eoo`030n1oogoo08eoo`03O01oogoo04Yoo`006goo 0P009goo00<3h7ooOol0S7oo00=l07ooOol0BWoo000KOol00`00Oomoo`0VOol00`?POomoo`2;Ool0 0g`0Oomoo`1;Ool001]oo`03001oogoo02Moo`030n1oogoo08Yoo`03O01oogoo04]oo`006goo00<0 07ooOol09goo00<3h7ooOol0RGoo00=l07ooOol0C7oo000KOol2000YOol00`?POomoo`28Ool00g`0 Oomoo`1Ool001Eoo`03001oogoo00=oo`8002]oo`030n1oogoo 08=oo`03O01oogoo04moo`005Goo00<007ooOol00goo00<007ooOol0:Woo00<3h7ooOol0PWoo00=l 07ooOol0D7oo000EOol00`00Oomoo`03Ool00`00Oomoo`0[Ool00`?POomoo`21Ool00g`0Oomoo`1@ Ool001Aoo`8000Eoo`03001oogoo02]oo`030n1oogoo081oo`03O01oogoo055oo`006goo0P00;Goo 00<3h7ooOol0Ogoo00=l07ooOol0DGoo000KOol00`00Oomoo`0/Ool00`?POomoo`1nOol00g`0Oomo o`1BOol001]oo`03001oogoo02eoo`030n1oogoo07eoo`03O01oogoo059oo`006goo00<007ooOol0 ;Woo00<3h7ooOol0Ngoo00=l07ooOol0Dgoo000KOol2000_Ool00`?POomoo`1jOol00g`0Oomoo`1D Ool001]oo`03001oogoo02moo`030n1oogoo07Uoo`03O01oogoo05Aoo`006goo00<007ooOol0;goo 00<3h7ooOol0N7oo00=l07ooOol0EGoo000KOol00`00Oomoo`0`Ool00`?POomoo`1fOol00g`0Oomo o`1FOol001]oo`80035oo`030n1oogoo07Ioo`03O01oogoo05Ioo`006goo00<007ooOol0Goo00<3h7ooOol0Hgoo00=l07ooOol0HGoo000KOol00`00Oomoo`0hOol0 0`?POomoo`1ROol00g`0Oomoo`1ROol001]oo`03001oogoo03Uoo`030n1oogoo061oo`03O01oogoo 06=oo`006goo00<007ooOol0>Woo00<3h7ooOol0GWoo00=l07ooOol0I7oo000KOol2000kOol00`?P Oomoo`1LOol2O01WOol001]oo`03001oogoo03]oo`030n1oogoo05Yoo`03O01oogoo06Moo`006goo 00<007ooOol0>goo00<3h7ooOol0F7oo0W`0JWoo000KOol00`00Oomoo`0lOol00`?POomoo`1FOol0 0g`0Oomoo`1ZOol001]oo`8003eoo`030n1oogoo05Aoo`9l06eoo`006goo00<007ooOol0?Goo00<3 h7ooOol0DWoo00=l07ooOol0KGoo000KOol00`00Oomoo`0nOol00`?POomoo`1?Ool2O01`Ool001]o o`03001oogoo03ioo`030n1oogoo04ioo`03O01oogoo071oo`006goo0P00@7oo00<3h7ooOol0Bgoo 0W`0Lgoo000KOol00`00Oomoo`10Ool00`?POomoo`18Ool2O01eOol000Moo`D0009oo`8000Aoo`80 00Eoo`03001oogoo041oo`030n1oogoo04Moo`03O01oogoo07Eoo`002Goo00<007ooOol01goo00@0 07ooOol000Aoo`03001oogoo045oo`030n1oogoo04Aoo`9l07Qoo`002Goo00<007ooOol02Woo00<0 07ooOol00Woo0P00@Woo00<3h7ooOol0@goo00=l07ooOol0N7oo0009Ool00`00Oomoo`08Ool20005 Ool00`00Oomoo`11Ool00`?POomoo`11Ool2O01kOol000Uoo`03001oogoo00Qoo`03001oogoo00Ao o`03001oogoo049oo`030n1oogoo03ioo`9l07eoo`0027oo0P002Woo0`0017oo00<007ooOol0@Woo 00<3h7ooOol0?Goo00=l07ooOol0OGoo000KOol20013Ool00`?POomoo`0kOol2O020Ool001]oo`03 001oogoo049oo`030n1oogoo03Uoo`9l089oo`006goo00<007ooOol0@Woo0P?P>7oo0W`0Q7oo000K Ool20014Ool00`?POomoo`0dOol2O026Ool001]oo`03001oogoo04=oo`030n1oogoo039oo`9l08Qo o`006goo00<007ooOol0@goo00<3h7ooOol0;goo0g`0RWoo000KOol00`00Oomoo`12Ool20n0^Ool3 O02=Ool001]oo`8004=oo`030n1oogoo02]oo`9l091oo`006goo00<007ooOol0@Woo00<3h7ooOol0 :7oo0g`0TWoo000KOol00`00Oomoo`11Ool00`?POomoo`0VOol3O02EOol001]oo`03001oogoo045o o`030n1oogoo02=oo`=l09Qoo`006goo0P00@Woo00<3h7ooOol08Goo0W`0Vgoo000KOol00`00Oomo o`10Ool00`?POomoo`0OOol3O02MOol00003Ool0000000<0009oo`8000Eoo`03001oogoo009oo`80 00Eoo`03001oogoo03moo`030n1oogoo01eoo`=l0:1oo`000goo00<007ooOol02Goo00D007ooOomo o`00009oo`03001oogoo009oo`03001oogoo03ioo`030n1oogoo01aoo`9l0:=oo`000goo00<007oo Ool02Goo00<007ooOol017oo00<007ooOol00Woo0P00?goo00<3h7ooOol06Goo0g`0YGoo0003Ool0 0`00Oomoo`0:Ool01000Oomoogoo0P001Goo00<007ooOol0?Goo00<3h7ooOol05goo0g`0Z7oo0003 Ool00`00Oomoo`07Ool01000Oomoo`000goo00<007ooOol017oo00<007ooOol0>goo0P?P5Woo17`0 Zgoo0002Ool20009Ool40003Ool30004Ool00`00Oomoo`0iOol20n0DOol4O02_Ool001]oo`8003Qo o`83h19oo`Al0;=oo`006goo00<007ooOol0=Woo00<3h7ooOol03Woo17`0]goo000KOol00`00Oomo o`0dOol20n0=Ool4O02kOol001]oo`03001oogoo039oo`83h0Yoo`El0;moo`006goo0P00Uoo`006goo 00<007ooOol03Goo1W`0kgoo000COol40004Ool00`00Oomoo`07Ool6O03eOol001=oo`03001oogoo 00Eoo`04001oogooOol6O03kOol001Aoo`03001oogoo00Aoo`Al0?moo`9oo`005Goo00<007ooOol0 ogoo2Goo000COol01000Oomoo`00ogoo2Woo000DOol2003oOol;Ool00?moob5oo`00ogoo8Goo0000 \ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.529838, -0.163481, \ 0.0194713, 0.0126021}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Relationship between concentration and temperature for an adiabatic CSTR and \ an adiabatic PFTR\ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["x[a_]:=First[x/.Sol2]/.T->a", "Input"] }, Closed]], Cell[CellGroupData[{ Cell["rate constant", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[BoxData[ \(k[T_] := k\_0\ Exp[\(-Ea\)/\((R\ T)\)]\)], "Input"] }, Closed]], Cell[CellGroupData[{ Cell["reaction rate", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["r[T_]:=k[T] x[T]", "Input"] }, Closed]], Cell[CellGroupData[{ Cell["Tempearature versus residence time for an adiabatic CSTR", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell["\<\ ll=Plot[(2-x[T])/r[T],{T,300,340},PlotStyle->RGBColor[0,1,0],DisplayFunction\ \[Rule]Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ ll1=Show[ll/.\[InvisibleSpace]x_Line\[RuleDelayed]Map[Reverse,x,{2}],\ DisplayFunction\[Rule]$DisplayFunction];\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.23083 -4.39981 0.0147151 [ [.25464 .00222 -3 -9 ] [.25464 .00222 3 0 ] [.48547 .00222 -3 -9 ] [.48547 .00222 3 0 ] [.7163 .00222 -3 -9 ] [.7163 .00222 3 0 ] [.94713 .00222 -3 -9 ] [.94713 .00222 3 0 ] [.01131 .16187 -18 -4.5 ] [.01131 .16187 0 4.5 ] [.01131 .30902 -18 -4.5 ] [.01131 .30902 0 4.5 ] [.01131 .45617 -18 -4.5 ] [.01131 .45617 0 4.5 ] [.01131 .60332 -18 -4.5 ] [.01131 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .25464 .01472 m .25464 .02097 L s [(1)] .25464 .00222 0 1 Mshowa .48547 .01472 m .48547 .02097 L s [(2)] .48547 .00222 0 1 Mshowa .7163 .01472 m .7163 .02097 L s [(3)] .7163 .00222 0 1 Mshowa .94713 .01472 m .94713 .02097 L s [(4)] .94713 .00222 0 1 Mshowa .125 Mabswid .06998 .01472 m .06998 .01847 L s .11614 .01472 m .11614 .01847 L s .16231 .01472 m .16231 .01847 L s .20847 .01472 m .20847 .01847 L s .30081 .01472 m .30081 .01847 L s .34697 .01472 m .34697 .01847 L s .39314 .01472 m .39314 .01847 L s .4393 .01472 m .4393 .01847 L s .53163 .01472 m .53163 .01847 L s .5778 .01472 m .5778 .01847 L s .62397 .01472 m .62397 .01847 L s .67013 .01472 m .67013 .01847 L s .76246 .01472 m .76246 .01847 L s .80863 .01472 m .80863 .01847 L s .8548 .01472 m .8548 .01847 L s .90096 .01472 m .90096 .01847 L s .99329 .01472 m .99329 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .16187 m .03006 .16187 L s [(310)] .01131 .16187 1 0 Mshowa .02381 .30902 m .03006 .30902 L s [(320)] .01131 .30902 1 0 Mshowa .02381 .45617 m .03006 .45617 L s [(330)] .01131 .45617 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(340)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .04415 m .02756 .04415 L s .02381 .07358 m .02756 .07358 L s .02381 .10301 m .02756 .10301 L s .02381 .13244 m .02756 .13244 L s .02381 .1913 m .02756 .1913 L s .02381 .22073 m .02756 .22073 L s .02381 .25016 m .02756 .25016 L s .02381 .27959 m .02756 .27959 L s .02381 .33845 m .02756 .33845 L s .02381 .36788 m .02756 .36788 L s .02381 .39731 m .02756 .39731 L s .02381 .42674 m .02756 .42674 L s .02381 .4856 m .02756 .4856 L s .02381 .51503 m .02756 .51503 L s .02381 .54446 m .02756 .54446 L s .02381 .57389 m .02756 .57389 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 0 r .5 Mabswid .02381 .01472 m .10513 .02634 L .17253 .03859 L .22505 .05102 L .26769 .06463 L .29498 .07673 L .30665 .08351 L .31531 .08967 L .32187 .09541 L .3274 .1015 L .32975 .10468 L .33195 .10818 L .3349 .11435 L .33601 .11756 L .33681 .12061 L .33733 .12335 L .33755 .1249 L .3377 .12634 L .33776 .12715 L .33779 .12758 L .33781 .12803 L .33783 .12842 L .33785 .12886 L .33787 .12962 L .33787 .13036 L .33787 .13115 L .33785 .1319 L .33783 .13259 L .33778 .13344 L .33773 .13423 L .33757 .13601 L .33738 .13758 L .33712 .13925 L .33589 .14504 L .33497 .14829 L .33399 .15128 L .32928 .16258 L .315 .18707 L .29818 .21062 L .27898 .23569 L .26053 .25982 L .24185 .28547 L .22531 .31018 L .21106 .33395 L .19788 .35924 L .1873 .38359 L .17924 .40701 L .17598 .41903 L .17322 .43194 L .17218 .4382 L Mistroke .17128 .44502 L .17095 .44815 L .17067 .45147 L .17056 .45309 L .17047 .45461 L .17041 .45598 L .17035 .45745 L .17032 .45823 L .1703 .45894 L .17028 .45967 L .17027 .46033 L .17026 .46111 L .17026 .46152 L .17026 .46196 L .17026 .46269 L .17026 .4635 L .17026 .4639 L .17027 .46433 L .17028 .46508 L .1703 .4659 L .17032 .46679 L .17038 .46839 L .17046 .46988 L .17066 .47278 L .1709 .47541 L .17125 .47844 L .17167 .48131 L .17281 .48733 L .17447 .4937 L .17631 .49914 L .17883 .50511 L .18595 .51715 L .19146 .52391 L .19774 .53008 L .21435 .54186 L .22758 .54852 L .24352 .55468 L .2637 .56062 L .28899 .5662 L .32779 .57232 L .3575 .57577 L .39234 .57893 L .43373 .58184 L .49275 .58496 L .52935 .58647 L .57058 .5879 L .67279 .59057 L .75415 .59212 L .86911 .59375 L Mfstroke .86911 .59375 m 1 .59511 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGoo00@007ooOol000ioo`00 E7oo00<007ooOol0>Woo00@007ooOol003Yoo`04001oogoo000lOol00`00Ool0000>Ool005=oo`80 03eoo`8003aoo`8003ioo`8000ioo`00ogoo8Goo000EOol00`00Oomoo`3oOol9Ool001Eoo`03001o ogoo0?moo`Uoo`005Goo00<007ooOol0ogoo2Goo000EOol00`00Oomoo`3oOol9Ool000moo`H000@3 h?l000L0005oo`005Goo00@007ooOomoo`L3h09oo`03001oogoo00Uoo`03001oogoo00Yoo`03001o ogoo00Uoo`03001oogoo00Yoo`03001oogoo00Uoo`03001oogoo00Yoo`03001oogoo00Uoo`03001o ogoo00Yoo`03001oogoo00Yoo`03001oogoo00Uoo`03001oogoo00Yoo`03001oogoo00Uoo`03001o ogoo00Yoo`03001oogoo00Uoo`03001oogoo00Yoo`03001oogoo00Uoo`03001oogoo00Yoo`03001o ogoo00Uoo`03001oogoo00Yoo`03001oogoo00Yoo`40005oo`5oo`005Goo00<007ooOol027oo20?P ;7oo00<007ooOol0?7oo00<007ooOol0>goo00<007ooOol0?7oo00<007ooOol03Goo000EOol00`00 Oomoo`0@Ool60n3bOol001Eoo`03001oogoo01Ioo`H3h>aoo`005Goo00<007ooOol077oo1P?PiWoo 000EOol00`00Oomoo`0ROol50n3QOol001Eoo`03001oogoo02Moo`@3h=eoo`005Goo0P00;7oo10?P fGoo000EOol00`00Oomoo`0_Ool40n3EOol001Eoo`03001oogoo03=oo`<3h=9oo`005Goo00<007oo Ool0=Woo0`?Pcgoo000EOol00`00Oomoo`0iOol20n3=Ool001Eoo`03001oogoo03]oo`<3hWoo00<3h7ooOol0bgoo 000EOol2000jOol00`?POomoo`37oo00<3h7ooOol0cGoo000EOol00`00Oomoo`0gOol00`?POomoo`3>Ool001Eoo`03001o ogoo03Moo`030n1oogoo01oo`005Goo00<007ooOol09Goo00<3h7ooOol0h7oo0002Ool20004Ool2 0004Ool20005Ool00`00Oomoo`0UOol00`?POomoo`3POol00005Ool007ooOol00002Ool01000Oomo o`000Woo00@007ooOol000Aoo`03001oogoo02Eoo`030n1oogoo0>1oo`000goo00<007ooOol00goo 00D007ooOomoo`00009oo`03001oogoo009oo`<002Eoo`030n1oogoo0>1oo`0017oo00<007ooOol0 0goo00@007ooOol0009oo`03001oogoo009oo`03001oogoo02Eoo`030n1oogoo0>1oo`0000Eoo`00 Oomoo`00009oo`04001oogoo0002Ool01000Oomoo`0017oo00<007ooOol09Goo00<3h7ooOol0h7oo 0002Ool20004Ool20004Ool20005Ool00`00Oomoo`0UOol00`?POomoo`3POol001Eoo`03001oogoo 02Eoo`030n1oogoo0>1oo`005Goo00<007ooOol09Goo00<3h7ooOol0h7oo000EOol00`00Oomoo`0U Ool00`?POomoo`3POol001Eoo`03001oogoo02Eoo`030n1oogoo0>1oo`005Goo0P009goo00<3h7oo Ool0ggoo000EOol00`00Oomoo`0VOol00`?POomoo`3OOol001Eoo`03001oogoo02Ioo`030n1oogoo 0=moo`005Goo00<007ooOol09Woo00<3h7ooOol0ggoo000EOol00`00Oomoo`0VOol00`?POomoo`3O Ool001Eoo`03001oogoo02Moo`030n1oogoo0=ioo`005Goo00<007ooOol0:7oo00<3h7ooOol0gGoo 000EOol00`00Oomoo`0XOol00`?POomoo`3MOol001Eoo`8002Yoo`030n1oogoo0=aoo`005Goo00<0 07ooOol0:Goo00<3h7ooOol0g7oo000EOol00`00Oomoo`0ZOol20n3LOol001Eoo`03001oogoo02ao o`030n1oogoo0=Uoo`005Goo00<007ooOol0;7oo00<3h7ooOol0fGoo000EOol00`00Oomoo`0]Ool2 0n3IOol001Eoo`03001oogoo02moo`83h=Moo`005Goo00<007ooOol0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.342388, 296.901, \ 0.0159333, 0.24994}}] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Tempearature versus residence time for an adiabatic PFTR", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell["\<\ mm=Plot[NIntegrate[1/r[a] \ 1/20,{a,300,T}],{T,300,340},PlotStyle->RGBColor[1,0,0],DisplayFunction\[Rule]\ Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ mm1=Show[mm/.\[InvisibleSpace]x_Line\[RuleDelayed]Map[Reverse,x,{2}],\ DisplayFunction\[Rule]$DisplayFunction];\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.19935 -4.39981 0.0147151 [ [.22316 .00222 -3 -9 ] [.22316 .00222 3 0 ] [.42251 .00222 -3 -9 ] [.42251 .00222 3 0 ] [.62186 .00222 -3 -9 ] [.62186 .00222 3 0 ] [.82121 .00222 -3 -9 ] [.82121 .00222 3 0 ] [.01131 .16187 -18 -4.5 ] [.01131 .16187 0 4.5 ] [.01131 .30902 -18 -4.5 ] [.01131 .30902 0 4.5 ] [.01131 .45617 -18 -4.5 ] [.01131 .45617 0 4.5 ] [.01131 .60332 -18 -4.5 ] [.01131 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .22316 .01472 m .22316 .02097 L s [(1)] .22316 .00222 0 1 Mshowa .42251 .01472 m .42251 .02097 L s [(2)] .42251 .00222 0 1 Mshowa .62186 .01472 m .62186 .02097 L s [(3)] .62186 .00222 0 1 Mshowa .82121 .01472 m .82121 .02097 L s [(4)] .82121 .00222 0 1 Mshowa .125 Mabswid .06368 .01472 m .06368 .01847 L s .10355 .01472 m .10355 .01847 L s .14342 .01472 m .14342 .01847 L s .18329 .01472 m .18329 .01847 L s .26303 .01472 m .26303 .01847 L s .3029 .01472 m .3029 .01847 L s .34277 .01472 m .34277 .01847 L s .38264 .01472 m .38264 .01847 L s .46238 .01472 m .46238 .01847 L s .50225 .01472 m .50225 .01847 L s .54212 .01472 m .54212 .01847 L s .58199 .01472 m .58199 .01847 L s .66173 .01472 m .66173 .01847 L s .7016 .01472 m .7016 .01847 L s .74147 .01472 m .74147 .01847 L s .78134 .01472 m .78134 .01847 L s .86108 .01472 m .86108 .01847 L s .90095 .01472 m .90095 .01847 L s .94082 .01472 m .94082 .01847 L s .98069 .01472 m .98069 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .16187 m .03006 .16187 L s [(310)] .01131 .16187 1 0 Mshowa .02381 .30902 m .03006 .30902 L s [(320)] .01131 .30902 1 0 Mshowa .02381 .45617 m .03006 .45617 L s [(330)] .01131 .45617 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(340)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .04415 m .02756 .04415 L s .02381 .07358 m .02756 .07358 L s .02381 .10301 m .02756 .10301 L s .02381 .13244 m .02756 .13244 L s .02381 .1913 m .02756 .1913 L s .02381 .22073 m .02756 .22073 L s .02381 .25016 m .02756 .25016 L s .02381 .27959 m .02756 .27959 L s .02381 .33845 m .02756 .33845 L s .02381 .36788 m .02756 .36788 L s .02381 .39731 m .02756 .39731 L s .02381 .42674 m .02756 .42674 L s .02381 .4856 m .02756 .4856 L s .02381 .51503 m .02756 .51503 L s .02381 .54446 m .02756 .54446 L s .02381 .57389 m .02756 .57389 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid .02381 .01472 m .16799 .03859 L .29229 .06463 L .38475 .08909 L .45636 .11261 L .51794 .13765 L .56594 .16175 L .60742 .18736 L .64002 .21204 L .66596 .23578 L .6889 .26104 L .70736 .28536 L .72241 .30874 L .73609 .33364 L .74742 .3576 L .75789 .38308 L .76676 .40762 L .77443 .43123 L .78191 .45635 L .78866 .48053 L .79566 .50623 L .80262 .53099 L .81017 .55482 L .81479 .5669 L .81767 .5733 L .8213 .58016 L .82547 .58642 L .83064 .59214 L .83405 .59489 L .83629 .59634 L .83921 .59788 L .84249 .59922 L .84468 .59994 L .84762 .6007 L .85116 .60141 L .85579 .60205 L .86325 .60267 L .97619 .60332 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol6O03dOol001Eoo`03001o ogoo01Aoo`Ml0>eoo`005Goo00<007ooOol06goo1W`0igoo000EOol00`00Oomoo`0QOol6O03QOol0 01Eoo`03001oogoo02Moo`Al0=eoo`005Goo0P00;7oo17`0fGoo000EOol00`00Oomoo`0_Ool4O03E Ool001Eoo`03001oogoo03=oo`El0=1oo`005Goo00<007ooOol0>7oo17`0c7oo000EOol00`00Oomo o`0lOol4O038Ool001Eoo`03001oogoo041oo`Al0goo0002Ool20004Ool20004Ool20005Ool0 0`00Oomoo`3:Ool00g`0Oomoo`0kOol00005Ool007ooOol00002Ool01000Oomoo`000Woo00@007oo Ool000Aoo`03001oogoo0<]oo`03O01oogoo03Yoo`000goo00<007ooOol00goo00D007ooOomoo`00 009oo`03001oogoo009oo`<00<]oo`03O01oogoo03Yoo`0017oo00<007ooOol00goo00@007ooOol0 009oo`03001oogoo009oo`03001oogoo0<]oo`03O01oogoo03Yoo`0000Eoo`00Oomoo`00009oo`04 001oogoo0002Ool01000Oomoo`0017oo00<007ooOol0c7oo00=l07ooOol0>Goo0002Ool20004Ool2 0004Ool20005Ool00`00Oomoo`3Goo000EOol00`00Oomoo`3=Ool00g`0Oomoo`0h Ool001Eoo`03001oogoo07oo000EOol0 0`00Oomoo`3>Ool00g`0Oomoo`0gOol001Eoo`03001oogoo0Ool00g`0Oomoo`0gOol001Eoo`03001o ogoo0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.396456, 296.901, \ 0.0184494, 0.24994}}] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Tempearature versus residence time for an adiabatic PFTR and an adiabatic \ CSTR\ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell[CellGroupData[{ Cell["Show[mm1,ll1,PlotRange->{{0,5},{300,340}}]", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -2.77556e-017 0.2 -4.63525 0.0154508 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [-0.0125 .07725 -18 -4.5 ] [-0.0125 .07725 0 4.5 ] [-0.0125 .15451 -18 -4.5 ] [-0.0125 .15451 0 4.5 ] [-0.0125 .23176 -18 -4.5 ] [-0.0125 .23176 0 4.5 ] [-0.0125 .30902 -18 -4.5 ] [-0.0125 .30902 0 4.5 ] [-0.0125 .38627 -18 -4.5 ] [-0.0125 .38627 0 4.5 ] [-0.0125 .46353 -18 -4.5 ] [-0.0125 .46353 0 4.5 ] [-0.0125 .54078 -18 -4.5 ] [-0.0125 .54078 0 4.5 ] [-0.0125 .61803 -18 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(1)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(2)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(3)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(4)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(5)] 1 -0.0125 0 1 Mshowa .125 Mabswid .04 0 m .04 .00375 L s .08 0 m .08 .00375 L s .12 0 m .12 .00375 L s .16 0 m .16 .00375 L s .24 0 m .24 .00375 L s .28 0 m .28 .00375 L s .32 0 m .32 .00375 L s .36 0 m .36 .00375 L s .44 0 m .44 .00375 L s .48 0 m .48 .00375 L s .52 0 m .52 .00375 L s .56 0 m .56 .00375 L s .64 0 m .64 .00375 L s .68 0 m .68 .00375 L s .72 0 m .72 .00375 L s .76 0 m .76 .00375 L s .84 0 m .84 .00375 L s .88 0 m .88 .00375 L s .92 0 m .92 .00375 L s .96 0 m .96 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .07725 m .00625 .07725 L s [(305)] -0.0125 .07725 1 0 Mshowa 0 .15451 m .00625 .15451 L s [(310)] -0.0125 .15451 1 0 Mshowa 0 .23176 m .00625 .23176 L s [(315)] -0.0125 .23176 1 0 Mshowa 0 .30902 m .00625 .30902 L s [(320)] -0.0125 .30902 1 0 Mshowa 0 .38627 m .00625 .38627 L s [(325)] -0.0125 .38627 1 0 Mshowa 0 .46353 m .00625 .46353 L s [(330)] -0.0125 .46353 1 0 Mshowa 0 .54078 m .00625 .54078 L s [(335)] -0.0125 .54078 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(340)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01545 m .00375 .01545 L s 0 .0309 m .00375 .0309 L s 0 .04635 m .00375 .04635 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .10816 m .00375 .10816 L s 0 .12361 m .00375 .12361 L s 0 .13906 m .00375 .13906 L s 0 .16996 m .00375 .16996 L s 0 .18541 m .00375 .18541 L s 0 .20086 m .00375 .20086 L s 0 .21631 m .00375 .21631 L s 0 .24721 m .00375 .24721 L s 0 .26266 m .00375 .26266 L s 0 .27812 m .00375 .27812 L s 0 .29357 m .00375 .29357 L s 0 .32447 m .00375 .32447 L s 0 .33992 m .00375 .33992 L s 0 .35537 m .00375 .35537 L s 0 .37082 m .00375 .37082 L s 0 .40172 m .00375 .40172 L s 0 .41717 m .00375 .41717 L s 0 .43262 m .00375 .43262 L s 0 .44807 m .00375 .44807 L s 0 .47898 m .00375 .47898 L s 0 .49443 m .00375 .49443 L s 0 .50988 m .00375 .50988 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .57168 m .00375 .57168 L s 0 .58713 m .00375 .58713 L s 0 .60258 m .00375 .60258 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid 0 0 m .14465 .02507 L .26936 .05241 L .36211 .07809 L .43396 .10279 L .49574 .12908 L .5439 .15438 L .58551 .18128 L .61821 .20719 L .64424 .23212 L .66726 .25864 L .68578 .28417 L .70088 .30873 L .7146 .33487 L .72597 .36003 L .73647 .38678 L .74538 .41255 L .75307 .43734 L .76057 .46371 L .76735 .4891 L .77437 .51609 L .78134 .54209 L .78893 .56711 L .79356 .57979 L .79645 .58651 L .80009 .59371 L .80428 .60029 L .80946 .60629 L .81289 .60918 L .81513 .6107 L .81806 .61232 L .82135 .61373 L .82355 .61448 L .82649 .61529 L .83005 .61603 L .83469 .6167 L .84218 .61735 L .95549 .61803 L s 0 1 0 r 0 0 m .07046 .01221 L .12886 .02507 L .17436 .03812 L .2113 .05241 L .23496 .06512 L .24506 .07223 L .25256 .0787 L .25825 .08473 L .26304 .09113 L .26508 .09446 L .26699 .09814 L .26954 .10461 L .2705 .10799 L .2712 .11119 L .27165 .11407 L .27183 .1157 L .27196 .11721 L .27202 .11806 L .27204 .11851 L .27206 .11898 L .27208 .11939 L .27209 .11985 L .27211 .12065 L .27212 .12143 L .27211 .12226 L .2721 .12305 L .27208 .12377 L .27204 .12466 L .27199 .12549 L .27185 .12736 L .27169 .12901 L .27147 .13076 L .2704 .13684 L .2696 .14026 L .26875 .14339 L .26467 .15526 L .2523 .18097 L .23772 .2057 L .22109 .23202 L .20511 .25736 L .18892 .28429 L .17459 .31023 L .16224 .3352 L .15082 .36175 L .14165 .38732 L .13467 .41191 L .13185 .42453 L .12945 .43808 L .12855 .44466 L Mistroke .12777 .45182 L .12749 .4551 L .12725 .45859 L .12715 .46029 L .12708 .46189 L .12702 .46333 L .12697 .46487 L .12694 .46569 L .12693 .46644 L .12691 .4672 L .1269 .4679 L .12689 .46872 L .12689 .46915 L .12689 .46961 L .12689 .47038 L .12689 .47122 L .12689 .47165 L .1269 .47209 L .12691 .47289 L .12692 .47375 L .12694 .47468 L .127 .47636 L .12706 .47793 L .12723 .48097 L .12744 .48373 L .12775 .48692 L .12811 .48992 L .1291 .49625 L .13054 .50293 L .13213 .50864 L .13432 .51492 L .14048 .52756 L .14526 .53466 L .1507 .54113 L .16509 .5535 L .17655 .56049 L .19037 .56696 L .20785 .5732 L .22976 .57906 L .26338 .58549 L .28912 .58911 L .31931 .59242 L .35517 .59548 L .40631 .59876 L .43802 .60034 L .47375 .60184 L .5623 .60465 L .63279 .60627 L .7324 .60799 L .8491 .60946 L Mistroke .9352 .61029 L Mfstroke .9352 .61029 m 1 .6108 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgeoo`00 5goo00<007ooOol05goo1@?P0g`0igoo000GOol00`00Oomoo`0LOol40n05O03QOol001Moo`03001o ogoo021oo`<3h09oo`Al0=eoo`005goo00<007ooOol08goo0`?P0goo1G`0f7oo000GOol00`00Oomo o`0VOol30n05Ool4O03DOol001Moo`03001oogoo02Uoo`<3h0Ioo`El0Goo00<3h7ooOol04Woo17`0]7oo0003Ool20004Ool20004Ool20006Ool00`00Oomoo`0jOol20n0F Ool3O02aOol0009oo`04001oogoo0002Ool01000Oomoo`000Woo00@007ooOol000Eoo`03001oogoo 03aoo`030n1oogoo01Ioo`Al0:eoo`0017oo00D007ooOomoo`00009oo`03001oogoo00=oo`03001o ogoo00=oo`8003ioo`83h1Yoo`=l0:Yoo`001Goo00@007ooOol0009oo`04001oogooOol20006Ool0 0`00Oomoo`0oOol00`?POomoo`0JOol3O02WOol0009oo`04001oogoo0002Ool01000Oomoo`000goo 00<007ooOol01Goo00<007ooOol0?goo00<3h7ooOol07Goo0g`0Y7oo0003Ool20004Ool20004Ool3 0005Ool00`00Oomoo`10Ool20n0POol4O02POol001Moo`03001oogoo045oo`030n1oogoo029oo`=l 09eoo`005goo00<007ooOol0@Woo00<3h7ooOol097oo0g`0VWoo000GOol00`00Oomoo`12Ool00`?P Oomoo`0WOol3O02GOol001Moo`03001oogoo049oo`030n1oogoo02Yoo`9l09Eoo`005goo00<007oo Ool0@goo00<3h7ooOol0:goo0W`0Tgoo000GOol00`00Oomoo`13Ool00`?POomoo`0]Ool2O02AOol0 01Moo`03001oogoo04=oo`030n1oogoo02moo`=l08ioo`005goo00<007ooOol0@goo00<3h7ooOol0 7oo0W`0QWoo000GOol0 0`00Oomoo`13Ool00`?POomoo`0jOol2O024Ool001Moo`03001oogoo049oo`030n1oogoo03eoo`9l 089oo`005goo00<007ooOol0@Woo00<3h7ooOol0?goo0W`0P7oo0003Ool20003Ool50002Ool20006 Ool00`00Oomoo`12Ool00`?POomoo`11Ool2O01nOol0009oo`04001oogoo0004Ool01@00Oomoogoo 00000Woo00<007ooOol00goo00<007ooOol0@Goo00<3h7ooOol0A7oo0W`0O7oo0004Ool00`00Oomo o`03Ool01@00Oomoogoo00000Woo00<007ooOol00goo0P00@Woo00<3h7ooOol0AWoo00=l07ooOol0 NGoo0005Ool00`00Oomoo`02Ool01@00Oomoogoo00000Woo00<007ooOol00goo00<007ooOol0@Goo 00<3h7ooOol0Agoo0W`0NGoo0002Ool01000Oomoo`0017oo00D007ooOomoo`00009oo`03001oogoo 00=oo`03001oogoo041oo`030n1oogoo04Yoo`03O01oogoo07Ioo`000goo0P0017oo0P0017oo0P00 1Woo00<007ooOol0@7oo00<3h7ooOol0Bgoo00=l07ooOol0MGoo000GOol00`00Oomoo`0oOol00`?P Oomoo`1=Ool2O01eOol001Moo`03001oogoo03moo`030n1oogoo04moo`03O01oogoo079oo`005goo 00<007ooOol0?Woo00<3h7ooOol0DGoo0W`0LWoo000GOol00`00Oomoo`0nOol00`?POomoo`1COol0 0g`0Oomoo`1_Ool001Moo`03001oogoo03eoo`030n1oogoo05Eoo`03O01oogoo06ioo`005goo00<0 07ooOol0?Goo00<3h7ooOol0EWoo0W`0KWoo000GOol00`00Oomoo`0lOol00`?POomoo`1IOol00g`0 Oomoo`1[Ool001Moo`03001oogoo03]oo`030n1oogoo05]oo`03O01oogoo06Yoo`005goo00<007oo Ool0>goo00<3h7ooOol0G7oo0W`0JWoo000GOol00`00Oomoo`0jOol00`?POomoo`1OOol00g`0Oomo o`1WOol001Moo`03001oogoo03Uoo`030n1oogoo065oo`03O01oogoo06Ioo`005goo00<007ooOol0 >Goo00<3h7ooOol0HWoo00=l07ooOol0IGoo000GOol00`00Oomoo`0hOol00`?POomoo`1TOol00g`0 Oomoo`1TOol001Moo`03001oogoo03Qoo`030n1oogoo06Eoo`9l06Aoo`000goo0P000goo1@000Woo 0P001Woo00<007ooOol0=goo00<3h7ooOol0J7oo00=l07ooOol0HGoo0002Ool01000Oomoo`0017oo 00D007ooOomoo`00009oo`03001oogoo00=oo`03001oogoo03Moo`030n1oogoo06Uoo`03O01oogoo 061oo`0017oo00<007ooOol00goo00<007ooOol017oo00<007ooOol00goo0P00=goo00<3h7ooOol0 Jgoo00=l07ooOol0Ggoo0005Ool00`00Oomoo`02Ool00`00Oomoo`02Ool20006Ool00`00Oomoo`0e Ool00`?POomoo`1]Ool00g`0Oomoo`1NOol0009oo`04001oogoo0004Ool00`00Oomoo`02Ool00`00 Oomoo`05Ool00`00Oomoo`0eOol00`?POomoo`1]Ool00g`0Oomoo`1NOol000=oo`8000Aoo`8000Ao o`<000Eoo`03001oogoo03Aoo`030n1oogoo06moo`03O01oogoo05eoo`005goo00<007ooOol0=7oo 00<3h7ooOol0L7oo00=l07ooOol0G7oo000GOol00`00Oomoo`0cOol00`?POomoo`1bOol00g`0Oomo o`1KOol001Moo`03001oogoo03=oo`030n1oogoo079oo`03O01oogoo05]oo`005goo00<007ooOol0 goo000GOol00`00Oomoo`0XOol20n2NOol00g`0Oomoo`0kOol001Moo`03001oogoo02Yo o`030n1oogoo09]oo`03O01oogoo03]oo`005goo00<007ooOol0:goo0P?PW7oo00=l07ooOol0>Woo 000GOol00`00Oomoo`0]Ool30n2IOol00g`0Oomoo`0jOol001Moo`03001oogoo031oo`@3h9Eoo`03 O01oogoo03Yoo`005goo00<007ooOol0=7oo0`?PTgoo00=l07ooOol0>Goo000GOol00`00Oomoo`0g Ool40n2?Ool00g`0Oomoo`0iOol001Moo`03001oogoo03]oo`@3h8aoo`03O01oogoo03Qoo`005goo 00<007ooOol0?goo1@?PQgoo00=l07ooOol0>7oo000GOol00`00Oomoo`14Ool@0n1hOol00g`0Oomo o`0gOol001Moo`03001oogoo05Aoo``3h6aoo`03O01oogoo03Moo`005goo00<007ooOol0H7oo4`?P FWoo00=l07ooOol0=Woo000GOol00`00Oomoo`1cOol@0n1;Ool00g`0Oomoo`0eOol001Moo`03001o ogoo08=oodL3h0Aoo`03O01oogoo03Eoo`000goo0P001Goo0`000Woo0P001Woo00<007ooOol0bWoo =P?P1Woo0002Ool01000Oomoo`001Goo00@007ooOol0009oo`03001oogoo00=oo`03001oogoo0=5o o`Al035oo`0017oo00@007ooOomoo`D00005Ool007ooOol00005Ool2003FOolPO00AOol000Eoo`04 001oogoo0002Ool01000Oomoo`000Woo00<007ooOol0ogoo3Goo0002Ool01000Oomoo`000goo00<0 07oo00000Woo00@007ooOol00?moo`moo`000goo0P001Goo0P000goo0P00ogoo47oo003oOolQOol0 0001\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.444014, 296.944, \ 0.0192898, 0.249694}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Inverse of reaction rate ", Cell[BoxData[ \(TraditionalForm\`1\/\(\(\ \)\(kC\_A\)\)\)]], " versus concentration diffrence ", Cell[BoxData[ \(TraditionalForm\`C\_A0 - C\_A\)]] }], "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["T[a_]:=First[T/.Sol1/.x->a]", "Input"], Cell[BoxData[ \(k[x_] := k\_0\ Exp[\(-Ea\)/\((R\ T[x])\)]\)], "Input"], Cell["r[x_]:=k[x] x", "Input"], Cell[CellGroupData[{ Cell["jj=Plot[1/r[2-x],{x,0,1.99},PlotRange->{{0,3},{0,7}}]", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 2.77556e-017 0.333333 -2.08167e-017 0.0882906 [ [.16667 -0.0125 -9 -9 ] [.16667 -0.0125 9 0 ] [.33333 -0.0125 -3 -9 ] [.33333 -0.0125 3 0 ] [.5 -0.0125 -9 -9 ] [.5 -0.0125 9 0 ] [.66667 -0.0125 -3 -9 ] [.66667 -0.0125 3 0 ] [.83333 -0.0125 -9 -9 ] [.83333 -0.0125 9 0 ] [1 -0.0125 -3 -9 ] [1 -0.0125 3 0 ] [-0.0125 .08829 -6 -4.5 ] [-0.0125 .08829 0 4.5 ] [-0.0125 .17658 -6 -4.5 ] [-0.0125 .17658 0 4.5 ] [-0.0125 .26487 -6 -4.5 ] [-0.0125 .26487 0 4.5 ] [-0.0125 .35316 -6 -4.5 ] [-0.0125 .35316 0 4.5 ] [-0.0125 .44145 -6 -4.5 ] [-0.0125 .44145 0 4.5 ] [-0.0125 .52974 -6 -4.5 ] [-0.0125 .52974 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .16667 0 m .16667 .00625 L s [(0.5)] .16667 -0.0125 0 1 Mshowa .33333 0 m .33333 .00625 L s [(1)] .33333 -0.0125 0 1 Mshowa .5 0 m .5 .00625 L s [(1.5)] .5 -0.0125 0 1 Mshowa .66667 0 m .66667 .00625 L s [(2)] .66667 -0.0125 0 1 Mshowa .83333 0 m .83333 .00625 L s [(2.5)] .83333 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(3)] 1 -0.0125 0 1 Mshowa .125 Mabswid .03333 0 m .03333 .00375 L s .06667 0 m .06667 .00375 L s .1 0 m .1 .00375 L s .13333 0 m .13333 .00375 L s .2 0 m .2 .00375 L s .23333 0 m .23333 .00375 L s .26667 0 m .26667 .00375 L s .3 0 m .3 .00375 L s .36667 0 m .36667 .00375 L s .4 0 m .4 .00375 L s .43333 0 m .43333 .00375 L s .46667 0 m .46667 .00375 L s .53333 0 m .53333 .00375 L s .56667 0 m .56667 .00375 L s .6 0 m .6 .00375 L s .63333 0 m .63333 .00375 L s .7 0 m .7 .00375 L s .73333 0 m .73333 .00375 L s .76667 0 m .76667 .00375 L s .8 0 m .8 .00375 L s .86667 0 m .86667 .00375 L s .9 0 m .9 .00375 L s .93333 0 m .93333 .00375 L s .96667 0 m .96667 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .08829 m .00625 .08829 L s [(1)] -0.0125 .08829 1 0 Mshowa 0 .17658 m .00625 .17658 L s [(2)] -0.0125 .17658 1 0 Mshowa 0 .26487 m .00625 .26487 L s [(3)] -0.0125 .26487 1 0 Mshowa 0 .35316 m .00625 .35316 L s [(4)] -0.0125 .35316 1 0 Mshowa 0 .44145 m .00625 .44145 L s [(5)] -0.0125 .44145 1 0 Mshowa 0 .52974 m .00625 .52974 L s [(6)] -0.0125 .52974 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(7)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .01766 m .00375 .01766 L s 0 .03532 m .00375 .03532 L s 0 .05297 m .00375 .05297 L s 0 .07063 m .00375 .07063 L s 0 .10595 m .00375 .10595 L s 0 .12361 m .00375 .12361 L s 0 .14126 m .00375 .14126 L s 0 .15892 m .00375 .15892 L s 0 .19424 m .00375 .19424 L s 0 .2119 m .00375 .2119 L s 0 .22956 m .00375 .22956 L s 0 .24721 m .00375 .24721 L s 0 .28253 m .00375 .28253 L s 0 .30019 m .00375 .30019 L s 0 .31785 m .00375 .31785 L s 0 .3355 m .00375 .3355 L s 0 .37082 m .00375 .37082 L s 0 .38848 m .00375 .38848 L s 0 .40614 m .00375 .40614 L s 0 .42379 m .00375 .42379 L s 0 .45911 m .00375 .45911 L s 0 .47677 m .00375 .47677 L s 0 .49443 m .00375 .49443 L s 0 .51209 m .00375 .51209 L s 0 .5474 m .00375 .5474 L s 0 .56506 m .00375 .56506 L s 0 .58272 m .00375 .58272 L s 0 .60038 m .00375 .60038 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .04324 .61803 m .05626 .55122 L .08382 .44154 L .11032 .35844 L .13854 .28864 L .1657 .23561 L .19456 .19106 L .22238 .15712 L .24913 .13099 L .27759 .10873 L .305 .09158 L .33135 .07825 L .35941 .06681 L .38642 .05797 L .41513 .0505 L .44279 .04487 L .46939 .04073 L .48424 .03892 L .4977 .03758 L .50444 .03702 L .51173 .0365 L .51857 .0361 L .52495 .0358 L .52842 .03567 L .53157 .03558 L .53508 .03549 L .53701 .03546 L .53788 .03545 L .53884 .03543 L .53969 .03543 L .54061 .03542 L .54112 .03541 L .54158 .03541 L .54249 .03541 L .54328 .03541 L .54414 .03541 L .54503 .03541 L .54587 .03541 L .54635 .03541 L .54686 .03542 L .5478 .03543 L .54956 .03545 L .55162 .03549 L .55351 .03553 L .55677 .03563 L .56026 .03577 L .56658 .03614 L .57043 .03644 L .57409 .03678 L .58096 .03759 L Mistroke .58765 .03865 L .59478 .04012 L .6015 .04195 L .60759 .04409 L .61459 .04731 L .62103 .0513 L .62809 .05739 L .63164 .06147 L .63554 .06707 L .63915 .07375 L .64256 .08197 L .64563 .09168 L .64896 .10613 L .65069 .116 L .65259 .12971 L .65457 .14867 L .65548 .15958 L .65643 .17316 L .65726 .1872 L .65817 .20569 L .65976 .24985 L .66065 .28513 L .66115 .30939 L .66161 .3366 L .66251 .40694 L .66333 .50381 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGoo00<007ooOol0JWoo00<007oo Ool0Hgoo000AOol00`00Oomoo`0hOol00`00Oomoo`1[Ool00`00Oomoo`1SOol0015oo`03001oogoo 03Moo`03001oogoo06aoo`03001oogoo06=oo`004Goo00<007ooOol0=Woo00<007ooOol0KGoo00<0 07ooOol0Hgoo000AOol00`00Oomoo`0eOol00`00Oomoo`1^Ool00`00Oomoo`1SOol0015oo`03001o ogoo03Aoo`03001oogoo071oo`03001oogoo069oo`0027oo10001Goo00<007ooOol0Ool00`00 Oomoo`1QOol0015oo`03001oogoo01Ioo`03001oogoo08moo`03001oogoo065oo`004Goo00<007oo Ool05Woo00<007ooOol0Sgoo00<007ooOol0HGoo000AOol00`00Oomoo`0FOol00`00Oomoo`2?Ool0 0`00Oomoo`1QOol0015oo`03001oogoo01Eoo`03001oogoo091oo`03001oogoo065oo`004Goo00<0 07ooOol05Goo00<007ooOol0T7oo00<007ooOol0HGoo000AOol00`00Oomoo`0EOol00`00Oomoo`2@ Ool00`00Oomoo`1QOol0015oo`03001oogoo01Aoo`03001oogoo095oo`03001oogoo065oo`004Goo 00<007ooOol057oo00<007ooOol0TGoo00<007ooOol0HGoo000AOol00`00Oomoo`0DOol00`00Oomo o`2AOol00`00Oomoo`1QOol0015oo`03001oogoo01=oo`03001oogoo099oo`03001oogoo065oo`00 4Goo00<007ooOol04goo00<007ooOol0TWoo00<007ooOol0HGoo0009Ool20006Ool00`00Oomoo`0C Ool00`00Oomoo`2BOol00`00Oomoo`1QOol000Qoo`04001oogoo0005Ool00`00Oomoo`0BOol00`00 Oomoo`2COol00`00Oomoo`1QOol000]oo`03001oogoo00=oo`8001=oo`03001oogoo09=oo`03001o ogoo065oo`002Goo0P001Woo00<007ooOol04Woo00<007ooOol0Tgoo00<007ooOol0HGoo0009Ool0 0`00Oomoo`05Ool00`00Oomoo`0BOol00`00Oomoo`2COol00`00Oomoo`1QOol000Uoo`<000Eoo`03 001oogoo015oo`03001oogoo09Aoo`03001oogoo065oo`004Goo00<007ooOol04Goo00<007ooOol0 U7oo00<007ooOol0HGoo000AOol00`00Oomoo`0AOol00`00Oomoo`2DOol00`00Oomoo`1QOol0015o o`03001oogoo015oo`03001oogoo09Aoo`03001oogoo065oo`004Goo00<007ooOol047oo00<007oo Ool0UGoo00<007ooOol0HGoo000AOol00`00Oomoo`0@Ool00`00Oomoo`2EOol00`00Oomoo`1QOol0 015oo`03001oogoo011oo`03001oogoo09Eoo`03001oogoo065oo`004Goo00<007ooOol047oo00<0 07ooOol0UGoo00<007ooOol0HGoo000AOol00`00Oomoo`0?Ool00`00Oomoo`2FOol00`00Oomoo`1Q Ool0015oo`03001oogoo00moo`03001oogoo09Ioo`03001oogoo065oo`004Goo00<007ooOol03goo 00<007ooOol0UWoo00<007ooOol0HGoo000AOol00`00Oomoo`0?Ool00`00Oomoo`2FOol00`00Oomo o`1QOol0015oo`03001oogoo00ioo`03001oogoo09Moo`03001oogoo065oo`004Goo00<007ooOol0 3Woo00<007ooOol0Ugoo00<007ooOol0HGoo000AOol00`00Oomoo`0>Ool00`00Oomoo`3kOol0015o o`03001oogoo00ioo`03001oogoo0?]oo`004Goo00<007ooOol03Goo00<007ooOol0o7oo000AOol0 0`00Oomoo`0=Ool00`00Oomoo`3lOol000Qoo`<000Ioo`03001oogoo00eoo`03001oogoo0?aoo`00 27oo00@007ooOol000Eoo`03001oogoo00eoo`03001oogoo0?aoo`0027oo00@007ooOol000Eoo`80 00eoo`03001oogoo0?eoo`0027oo0`001Woo00<007ooOol037oo00<007ooOol0oGoo0009Ool00`00 Oomoo`05Ool00`00Oomoo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.196965, -0.53488, \ 0.0115739, 0.0436962}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ In an adiabatic CSTR, multiple steady states are obtained for example for a \ residence time equal to one. Residence time is the colored area in the \ figures. The same area is obtained for three different values of the \ concentration and temperature. Conclusion: We obtain three steady states for certain values of the residence \ time in an adiabatic CSTR.\ \>", "Subsubtitle", Background->RGBColor[1, 1, 0.65098]], Cell["Off[General::spell1]", "Input"], Cell[CellGroupData[{ Cell["\<\ sol1=FindRoot[1/r[\[Xi]] (2-\[Xi])\[Equal]1,{\[Xi],0.1}]\ \>", "Input"], Cell[BoxData[ \({\[Xi] \[Rule] 0.15344711297623675`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ sol2=FindRoot[1/r[\[Xi]] (2-\[Xi])\[Equal]1,{\[Xi],1}]\ \>", "Input"], Cell[BoxData[ \({\[Xi] \[Rule] 1.1403054940317363`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ sol3=FindRoot[1/r[\[Xi]] (2-\[Xi])\[Equal]1,{\[Xi],2}]\ \>", "Input"], Cell[BoxData[ \({\[Xi] \[Rule] 1.8462242254807772`}\)], "Output"] }, Open ]], Cell["<< Graphics`FilledPlot`", "Input"], Cell[CellGroupData[{ Cell["\<\ plt1=FilledPlot[{1/r[\[Xi]]/.sol1},{x,0,2-\[Xi]}/.sol1,PlotRange\[Rule]All,\ Fills->{RGBColor[0.9,0.9,0]}, Curves -> Front,DisplayFunction\[Rule]Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ plt2=FilledPlot[{1/r[\[Xi]]/.sol2},{x,0,2-\[Xi]}/.sol2,PlotRange\[Rule]All,\ Fills->{RGBColor[0.9,0.5,0.8]}, Curves -> Front,DisplayFunction\[Rule]Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ plt3=FilledPlot[{1/r[\[Xi]]/.sol3},{x,0,2-\[Xi]}/.sol3,PlotRange\[Rule]All,\ Fills->{RGBColor[0.5,0.5,0.8]}, Curves -> Front,DisplayFunction\[Rule]Identity]\ \>", "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Show[plt1,jj,DisplayFunction\[Rule]$DisplayFunction]\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 1 0 0.618034 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .9 .9 0 r .02381 .04668 m .05966 .04668 L .09876 .04668 L .13548 .04668 L .17079 .04668 L .20838 .04668 L .24456 .04668 L .28302 .04668 L .32007 .04668 L .35572 .04668 L .39364 .04668 L .43015 .04668 L .46526 .04668 L .50264 .04668 L .53862 .04668 L .57687 .04668 L .61372 .04668 L .64916 .04668 L .68687 .04668 L .72318 .04668 L .76177 .04668 L .79895 .04668 L .83472 .04668 L .87276 .04668 L .90754 .04668 L .90754 .01472 L .02381 .01472 L F 0 g .5 Mabswid .02381 .04668 m .05966 .04668 L .09876 .04668 L .13548 .04668 L .17079 .04668 L .20838 .04668 L .24456 .04668 L .28302 .04668 L .32007 .04668 L .35572 .04668 L .39364 .04668 L .43015 .04668 L .46526 .04668 L .50264 .04668 L .53862 .04668 L .57687 .04668 L .61372 .04668 L .64916 .04668 L .68687 .04668 L .72318 .04668 L .76177 .04668 L .79895 .04668 L .83472 .04668 L .87276 .04668 L .90754 .04668 L s .02381 .60332 m .06244 .48404 L .10458 .38328 L .14415 .30994 L .18221 .25438 L .22272 .20771 L .26171 .17225 L .30316 .14247 L .34309 .11977 L .3815 .1023 L .42237 .08742 L .46172 .07595 L .49955 .06704 L .53984 .05938 L .57861 .05348 L .61984 .04848 L .65954 .04472 L .69774 .04195 L .71905 .04074 L .73838 .03984 L .74806 .03947 L .75853 .03912 L .76835 .03885 L .77751 .03865 L .78248 .03857 L .78702 .0385 L .79205 .03845 L .79482 .03842 L .79607 .03842 L .79745 .03841 L .79867 .0384 L .79999 .0384 L .80072 .03839 L .80138 .03839 L .80269 .03839 L .80382 .03839 L .80505 .03839 L .80634 .03839 L .80754 .03839 L .80823 .03839 L .80897 .0384 L .81032 .0384 L .81285 .03842 L .8158 .03844 L .81852 .03847 L .82319 .03854 L .82821 .03863 L .83728 .03888 L .84281 .03908 L .84806 .03931 L Mistroke .85792 .03985 L .86753 .04056 L .87776 .04154 L .88742 .04277 L .89616 .04419 L .90621 .04635 L .91545 .04901 L .92559 .05309 L .93069 .05581 L .93628 .05956 L .94147 .06402 L .94637 .06952 L .95077 .07602 L .95556 .08567 L .95803 .09227 L .96076 .10144 L .96361 .11412 L .96491 .12142 L .96628 .13049 L .96747 .13989 L .96877 .15225 L .97105 .18178 L .97234 .20536 L .97305 .22158 L .97372 .23977 L .97501 .28681 L .97619 .35158 L Mfstroke MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGoo00<007ooOol0>7oo00<007ooOol01goo00@007ooOol003Moo`03001o ogoo00Uoo`00Bgoo00@007ooOol000]oo`03001oogoo03Moo`03001oogoo03Qoo`03001oogoo00Yo o`03001oogoo03Ioo`03001oogoo00Qoo`00Bgoo00@007ooOol000Uoo`8003Yoo`03001oogoo03Qo o`03001oogoo00Qoo`8003Yoo`03001oogoo00Moo`00Bgoo00@007ooOol000Uoo`03001oogoo03Uo o`03001oogoo03Qoo`03001oogoo00Qoo`03001oogoo03Moo`04001oogoo0008Ool004aoo`8000Yo o`<003Qoo`8003Uoo`8000Yoo`<003Qoo`8000Uoo`00ogoo8Goo000BOol00`00Oomoo`3oOol0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0 Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0 Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0 Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0Lh002W>000<007>0 Lh000g>01goo00<007ooOol02Woo00<007ooOol01goo000BOol0l000Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh0007>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP 001_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP000Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H1Aoo`03001oogoo00Moo`004Woo 00<007>0Lh00kG>07Woo000BOol0l000Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H1ioo`004Woo00<007>0Lh00kG>07Woo000BOol0bP00Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP Lh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP4P0001AcP6mPLh1_H7>0Kf1cP6mPLh1_ H7>0Kf1cP6mPLh1_H7>0Kf1cP6mP7Woo000BOol00`00Lh1cP02`Lh0G000BLh0=0007Lh0NOol0019o o`80002VLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0 Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf0;0000=VmPLh1_H7>0Kf1cP6mPLh1_ H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_ H7>0Kf1cP6mPLh1_H7>0Kf1cP6mPLh1_H7>0Kf1cP0H00003Kf1oogoo01aoo`004Woom0006Woo000B Ool00`00Oomoo`2BOol8001GOol2000HOol0019oo`03001oogoo08aoo`H0065oo`03001oogoo01Eo o`004Woo00<007ooOol0Qgoo1@00J7oo0P005Goo000BOol00`00Oomoo`21Ool6001_Ool00`00Oomo o`0BOol0019oo`03001oogoo07eoo`@007Ioo`03001oogoo015oo`004Woo00<007ooOol0NWoo0`00 NWoo00<007ooOol04Goo000BOol2001gOol4001nOol00`00Oomoo`0@Ool0019oo`03001oogoo07=o o`<008=oo`03001oogoo00moo`004Woo00<007ooOol0Kgoo1000Qgoo00<007ooOol03Woo000BOol0 0`00Oomoo`1[Ool4002;Ool00`00Oomoo`0>Ool0019oo`03001oogoo06Qoo`<0091oo`03001oogoo 00eoo`004Woo00<007ooOol0IGoo0`00Tgoo00<007ooOol03Goo000BOol00`00Oomoo`1SOol2002F Ool00`00Oomoo`0=Ool0019oo`03001oogoo061oo`<009Qoo`03001oogoo00eoo`004Woo0P00GWoo 0`00Vgoo00<007ooOol03Goo000BOol00`00Oomoo`1KOol2002OOol00`00Oomoo`0Woo00<007ooOol0`Goo00<007ooOol02Woo000B Ool00`00Oomoo`0iOol00`00Oomoo`32Ool00`00Oomoo`0:Ool0019oo`8003Uoo`03001oogoo0<=o o`03001oogoo00Yoo`004Woo00<007ooOol0=goo00<007ooOol0a7oo00<007ooOol02Woo000BOol0 0`00Oomoo`0eOol20037Ool00`00Oomoo`0:Ool0019oo`03001oogoo03Aoo`03001oogoo09oo`03001oogoo00Qoo`004Woo 00<007ooOol06goo00<007ooOol0hWoo00<007ooOol027oo000BOol00`00Oomoo`0JOol00`00Oomo o`3SOol00`00Oomoo`08Ool0019oo`8001]oo`03001oogoo0>=oo`03001oogoo00Qoo`004Woo00<0 07ooOol06Goo00<007ooOol0i7oo00<007ooOol027oo000BOol00`00Oomoo`0HOol00`00Oomoo`3U Ool00`00Oomoo`08Ool0019oo`03001oogoo01Qoo`03001oogoo0>Eoo`03001oogoo00Qoo`004Woo 00<007ooOol05goo00<007ooOol0lGoo000BOol00`00Oomoo`0GOol00`00Oomoo`3aOol000Yoo`<0 00Eoo`03001oogoo01Ioo`03001oogoo0?9oo`002Woo00@007ooOol000Aoo`03001oogoo01Ioo`03 001oogoo0?9oo`002Woo00@007ooOol000Aoo`<001Eoo`03001oogoo0?=oo`002Woo0`001Goo00<0 07ooOol05Goo00<007ooOol0lgoo000;Ool00`00Oomoo`04Ool00`00Oomoo`0DOol00`00Oomoo`3d Ool000]oo`<000Aoo`03001oogoo01Aoo`03001oogoo0?Aoo`004Woo00<007ooOol04goo00<007oo Ool0mGoo000BOol00`00Oomoo`0COol00`00Oomoo`3eOol0019oo`03001oogoo019oo`03001oogoo 0?Ioo`004Woo00<007ooOol04Woo00<007ooOol0mWoo000BOol2000BOol00`00Oomoo`3gOol0019o o`03001oogoo015oo`03001oogoo0?Moo`004Woo00<007ooOol04Goo00<007ooOol0mgoo000BOol0 0`00Oomoo`0@Ool00`00Oomoo`3hOol0019oo`03001oogoo011oo`03001oogoo0?Qoo`004Woo00<0 07ooOol03goo00<007ooOol0nGoo000BOol00`00Oomoo`0?Ool00`00Oomoo`3iOol0019oo`03001o ogoo00moo`03001oogoo0?Uoo`004Woo0P003goo00<007ooOol0nWoo000BOol00`00Oomoo`0>Ool0 0`00Oomoo`3jOol0019oo`03001oogoo00eoo`03001oogoo0?]oo`004Woo00<007ooOol03Goo00<0 07ooOol0ngoo000BOol00`00Oomoo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.00124022, -5.00002*^-06, \ 0.00349296, 0.00565173}, {{0.3125, 286.625}, {176.938, 0}} -> {-0.145171, \ -0.774045, 0.00770721, 0.0624816}, {{0.3125, 286.625}, {176.938, 0}} -> \ {-0.145171, -0.774045, 0.00770721, 0.0624816}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Show[plt2,jj,DisplayFunction\[Rule]$DisplayFunction]\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 1 0 0.618034 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .9 .5 .8 r .02381 .08338 m .0405 .08338 L .0587 .08338 L .0758 .08338 L .09224 .08338 L .10974 .08338 L .12658 .08338 L .14449 .08338 L .16174 .08338 L .17833 .08338 L .19599 .08338 L .21299 .08338 L .22933 .08338 L .24674 .08338 L .26349 .08338 L .2813 .08338 L .29845 .08338 L .31495 .08338 L .33251 .08338 L .34941 .08338 L .36738 .08338 L .38469 .08338 L .40134 .08338 L .41906 .08338 L .43525 .08338 L .43525 .01472 L .02381 .01472 L F 0 g .5 Mabswid .02381 .08338 m .0405 .08338 L .0587 .08338 L .0758 .08338 L .09224 .08338 L .10974 .08338 L .12658 .08338 L .14449 .08338 L .16174 .08338 L .17833 .08338 L .19599 .08338 L .21299 .08338 L .22933 .08338 L .24674 .08338 L .26349 .08338 L .2813 .08338 L .29845 .08338 L .31495 .08338 L .33251 .08338 L .34941 .08338 L .36738 .08338 L .38469 .08338 L .40134 .08338 L .41906 .08338 L .43525 .08338 L s .02381 .60332 m .06244 .48404 L .10458 .38328 L .14415 .30994 L .18221 .25438 L .22272 .20771 L .26171 .17225 L .30316 .14247 L .34309 .11977 L .3815 .1023 L .42237 .08742 L .46172 .07595 L .49955 .06704 L .53984 .05938 L .57861 .05348 L .61984 .04848 L .65954 .04472 L .69774 .04195 L .71905 .04074 L .73838 .03984 L .74806 .03947 L .75853 .03912 L .76835 .03885 L .77751 .03865 L .78248 .03857 L .78702 .0385 L .79205 .03845 L .79482 .03842 L .79607 .03842 L .79745 .03841 L .79867 .0384 L .79999 .0384 L .80072 .03839 L .80138 .03839 L .80269 .03839 L .80382 .03839 L .80505 .03839 L .80634 .03839 L .80754 .03839 L .80823 .03839 L .80897 .0384 L .81032 .0384 L .81285 .03842 L .8158 .03844 L .81852 .03847 L .82319 .03854 L .82821 .03863 L .83728 .03888 L .84281 .03908 L .84806 .03931 L Mistroke .85792 .03985 L .86753 .04056 L .87776 .04154 L .88742 .04277 L .89616 .04419 L .90621 .04635 L .91545 .04901 L .92559 .05309 L .93069 .05581 L .93628 .05956 L .94147 .06402 L .94637 .06952 L .95077 .07602 L .95556 .08567 L .95803 .09227 L .96076 .10144 L .96361 .11412 L .96491 .12142 L .96628 .13049 L .96747 .13989 L .96877 .15225 L .97105 .18178 L .97234 .20536 L .97305 .22158 L .97372 .23977 L .97501 .28681 L .97619 .35158 L Mfstroke MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGoo00<007ooOol0>7oo00<007ooOol01goo00@007ooOol003Moo`03001o ogoo00Uoo`00Bgoo00@007ooOol000]oo`03001oogoo03Moo`03001oogoo03Qoo`03001oogoo00Yo o`03001oogoo03Ioo`03001oogoo00Qoo`00Bgoo00@007ooOol000Uoo`8003Yoo`03001oogoo03Qo o`03001oogoo00Qoo`8003Yoo`03001oogoo00Moo`00Bgoo00@007ooOol000Uoo`03001oogoo03Uo o`03001oogoo03Qoo`03001oogoo00Qoo`03001oogoo03Moo`04001oogoo0008Ool004aoo`8000Yo o`<003Qoo`8003Uoo`8000Yoo`<003Qoo`8000Uoo`00ogoo8Goo000BOol00`00Oomoo`3oOol7oo2`00=Woo1P007goo000BOol0 L000LOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77i;Goo2`00Agoo1@006Woo 000BOol0L000KOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQa nFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQa nFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQa nFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgH9Goo2000Egoo 0P0067oo000BOol0L000LOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQa nG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77i7goo 1P00HGoo00<007ooOol05Goo000BOol0L000KMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU] f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU] n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU] f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU] n77iKMQanFgh6Woo1@00J7oo0P005Goo000BOol0L000LOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77i57oo1P00Kgoo00<007ooOol04Woo000BOol0L000KOQanFgHLOU]n77iKMQa nFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQa nFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQa nFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQa nFgHLOU]n77iKMQanFghLOU]f77iKOQanFgH47oo1000MWoo00<007ooOol04Goo000BOol0L000LOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUa n77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77i3Goo0`00NWoo00<007ooOol04Goo 000BOol20000KW7iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77i KOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77i KMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77i KOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOP9Ool4001nOol0 0`00Oomoo`0@Ool0019oo`1`001anG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7h LOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7h LOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7h LOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7hLOUan77iLOQanG7h LOT6Ool30023Ool00`00Oomoo`0?Ool0019oo`1`001]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77i KMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77i KOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77i KMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77iKOQanFgHLOU]n77iKMQanFghLOU]f77i KOQanFgHLOU]n77iKMP2Ool40027Ool00`00Oomoo`0>Ool0019oog8008]oo`03001oogoo00ioo`00 4Woo00<007ooOol0J7oo0`00T7oo00<007ooOol03Goo000BOol00`00Oomoo`1UOol3002COol00`00 Oomoo`0=Ool0019oo`03001oogoo06=oo`8009Ioo`03001oogoo00eoo`004Woo00<007ooOol0H7oo 0`00V7oo00<007ooOol03Goo000BOol2001NOol3002KOol00`00Oomoo`0=Ool0019oo`03001oogoo 05]oo`8009moo`03001oogoo00aoo`004Woo00<007ooOol0F7oo0`00XGoo00<007ooOol037oo000B Ool00`00Oomoo`1FOol2002TOol00`00Oomoo`0goo0P00`Goo00<007ooOol02Woo000BOol00`00Oomoo`0j Ool00`00Oomoo`31Ool00`00Oomoo`0:Ool0019oo`03001oogoo03Uoo`03001oogoo0<9oo`03001o ogoo00Yoo`004Woo0P00>Goo00<007ooOol0`goo00<007ooOol02Woo000BOol00`00Oomoo`0gOol0 0`00Oomoo`34Ool00`00Oomoo`0:Ool0019oo`03001oogoo03Eoo`800Ool00`00Oomoo`09Ool0019oo`03001oogoo02eoo`03001oogoo05oo`03001oogoo00Qoo`004Woo00<007ooOol06goo 00<007ooOol0hWoo00<007ooOol027oo000BOol00`00Oomoo`0KOol00`00Oomoo`3ROol00`00Oomo o`08Ool0019oo`03001oogoo01Yoo`03001oogoo0>=oo`03001oogoo00Qoo`004Woo0P006goo00<0 07ooOol0hgoo00<007ooOol027oo000BOol00`00Oomoo`0IOol00`00Oomoo`3TOol00`00Oomoo`08 Ool0019oo`03001oogoo01Qoo`03001oogoo0>Eoo`03001oogoo00Qoo`004Woo00<007ooOol067oo 00<007ooOol0iGoo00<007ooOol027oo000BOol00`00Oomoo`0GOol00`00Oomoo`3aOol0019oo`03 001oogoo01Moo`03001oogoo0?5oo`002Woo0`001Goo00<007ooOol05Woo00<007ooOol0lWoo000: Ool01000Oomoo`0017oo00<007ooOol05Woo00<007ooOol0lWoo000:Ool01000Oomoo`0017oo0`00 5Goo00<007ooOol0lgoo000:Ool30005Ool00`00Oomoo`0EOol00`00Oomoo`3cOol000]oo`03001o ogoo00Aoo`03001oogoo01Aoo`03001oogoo0?Aoo`002goo0`0017oo00<007ooOol057oo00<007oo Ool0m7oo000BOol00`00Oomoo`0COol00`00Oomoo`3eOol0019oo`03001oogoo01=oo`03001oogoo 0?Eoo`004Woo00<007ooOol04Woo00<007ooOol0mWoo000BOol00`00Oomoo`0BOol00`00Oomoo`3f Ool0019oo`80019oo`03001oogoo0?Moo`004Woo00<007ooOol04Goo00<007ooOol0mgoo000BOol0 0`00Oomoo`0AOol00`00Oomoo`3gOol0019oo`03001oogoo011oo`03001oogoo0?Qoo`004Woo00<0 07ooOol047oo00<007ooOol0n7oo000BOol00`00Oomoo`0?Ool00`00Oomoo`3iOol0019oo`03001o ogoo00moo`03001oogoo0?Uoo`004Woo00<007ooOol03goo00<007ooOol0nGoo000BOol2000?Ool0 0`00Oomoo`3jOol0019oo`03001oogoo00ioo`03001oogoo0?Yoo`004Woo00<007ooOol03Goo00<0 07ooOol0ngoo000BOol00`00Oomoo`0=Ool00`00Oomoo`3kOol0019oo`03001oogoo00aoo`03001o ogoo0?aoo`004Woo00<007ooOol037oo00<007ooOol0o7oo000BOol00`00Oomoo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.00124022, -5.00002*^-06, \ 0.00349296, 0.00565173}, {{0.3125, 286.625}, {176.938, 0}} -> {-0.145171, \ -0.774045, 0.00770721, 0.0624816}, {{0.3125, 286.625}, {176.938, 0}} -> \ {-0.145171, -0.774045, 0.00770721, 0.0624816}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Show[plt3,jj,DisplayFunction\[Rule]$DisplayFunction]\ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 1 0 0.618034 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 .5 .8 r .02381 .39861 m .0268 .39861 L .03005 .39861 L .03311 .39861 L .03605 .39861 L .03918 .39861 L .04219 .39861 L .0454 .39861 L .04848 .39861 L .05145 .39861 L .05461 .39861 L .05765 .39861 L .06057 .39861 L .06369 .39861 L .06668 .39861 L .06987 .39861 L .07294 .39861 L .07589 .39861 L .07903 .39861 L .08205 .39861 L .08526 .39861 L .08836 .39861 L .09134 .39861 L .09451 .39861 L .0974 .39861 L .0974 .01472 L .02381 .01472 L F 0 g .5 Mabswid .02381 .39861 m .0268 .39861 L .03005 .39861 L .03311 .39861 L .03605 .39861 L .03918 .39861 L .04219 .39861 L .0454 .39861 L .04848 .39861 L .05145 .39861 L .05461 .39861 L .05765 .39861 L .06057 .39861 L .06369 .39861 L .06668 .39861 L .06987 .39861 L .07294 .39861 L .07589 .39861 L .07903 .39861 L .08205 .39861 L .08526 .39861 L .08836 .39861 L .09134 .39861 L .09451 .39861 L .0974 .39861 L s .02381 .60332 m .06244 .48404 L .10458 .38328 L .14415 .30994 L .18221 .25438 L .22272 .20771 L .26171 .17225 L .30316 .14247 L .34309 .11977 L .3815 .1023 L .42237 .08742 L .46172 .07595 L .49955 .06704 L .53984 .05938 L .57861 .05348 L .61984 .04848 L .65954 .04472 L .69774 .04195 L .71905 .04074 L .73838 .03984 L .74806 .03947 L .75853 .03912 L .76835 .03885 L .77751 .03865 L .78248 .03857 L .78702 .0385 L .79205 .03845 L .79482 .03842 L .79607 .03842 L .79745 .03841 L .79867 .0384 L .79999 .0384 L .80072 .03839 L .80138 .03839 L .80269 .03839 L .80382 .03839 L .80505 .03839 L .80634 .03839 L .80754 .03839 L .80823 .03839 L .80897 .0384 L .81032 .0384 L .81285 .03842 L .8158 .03844 L .81852 .03847 L .82319 .03854 L .82821 .03863 L .83728 .03888 L .84281 .03908 L .84806 .03931 L Mistroke .85792 .03985 L .86753 .04056 L .87776 .04154 L .88742 .04277 L .89616 .04419 L .90621 .04635 L .91545 .04901 L .92559 .05309 L .93069 .05581 L .93628 .05956 L .94147 .06402 L .94637 .06952 L .95077 .07602 L .95556 .08567 L .95803 .09227 L .96076 .10144 L .96361 .11412 L .96491 .12142 L .96628 .13049 L .96747 .13989 L .96877 .15225 L .97105 .18178 L .97234 .20536 L .97305 .22158 L .97372 .23977 L .97501 .28681 L .97619 .35158 L Mfstroke MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0 0 1 0.618034 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.478583 0.0147151 0.059034 [ [.2631 .00222 -9 -9 ] [.2631 .00222 9 0 ] [.50239 .00222 -3 -9 ] [.50239 .00222 3 0 ] [.74168 .00222 -9 -9 ] [.74168 .00222 9 0 ] [.98098 .00222 -3 -9 ] [.98098 .00222 3 0 ] [.01131 .13278 -6 -4.5 ] [.01131 .13278 0 4.5 ] [.01131 .25085 -6 -4.5 ] [.01131 .25085 0 4.5 ] [.01131 .36892 -6 -4.5 ] [.01131 .36892 0 4.5 ] [.01131 .48699 -6 -4.5 ] [.01131 .48699 0 4.5 ] [.01131 .60506 -12 -4.5 ] [.01131 .60506 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2631 .01472 m .2631 .02097 L s [(0.5)] .2631 .00222 0 1 Mshowa .50239 .01472 m .50239 .02097 L s [(1)] .50239 .00222 0 1 Mshowa .74168 .01472 m .74168 .02097 L s [(1.5)] .74168 .00222 0 1 Mshowa .98098 .01472 m .98098 .02097 L s [(2)] .98098 .00222 0 1 Mshowa .125 Mabswid .07167 .01472 m .07167 .01847 L s .11953 .01472 m .11953 .01847 L s .16738 .01472 m .16738 .01847 L s .21524 .01472 m .21524 .01847 L s .31096 .01472 m .31096 .01847 L s .35882 .01472 m .35882 .01847 L s .40668 .01472 m .40668 .01847 L s .45453 .01472 m .45453 .01847 L s .55025 .01472 m .55025 .01847 L s .59811 .01472 m .59811 .01847 L s .64597 .01472 m .64597 .01847 L s .69383 .01472 m .69383 .01847 L s .78954 .01472 m .78954 .01847 L s .8374 .01472 m .8374 .01847 L s .88526 .01472 m .88526 .01847 L s .93312 .01472 m .93312 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13278 m .03006 .13278 L s [(2)] .01131 .13278 1 0 Mshowa .02381 .25085 m .03006 .25085 L s [(4)] .01131 .25085 1 0 Mshowa .02381 .36892 m .03006 .36892 L s [(6)] .01131 .36892 1 0 Mshowa .02381 .48699 m .03006 .48699 L s [(8)] .01131 .48699 1 0 Mshowa .02381 .60506 m .03006 .60506 L s [(10)] .01131 .60506 1 0 Mshowa .125 Mabswid .02381 .04423 m .02756 .04423 L s .02381 .07375 m .02756 .07375 L s .02381 .10327 m .02756 .10327 L s .02381 .1623 m .02756 .1623 L s .02381 .19182 m .02756 .19182 L s .02381 .22133 m .02756 .22133 L s .02381 .28037 m .02756 .28037 L s .02381 .30989 m .02756 .30989 L s .02381 .3394 m .02756 .3394 L s .02381 .39844 m .02756 .39844 L s .02381 .42795 m .02756 .42795 L s .02381 .45747 m .02756 .45747 L s .02381 .5165 m .02756 .5165 L s .02381 .54602 m .02756 .54602 L s .02381 .57554 m .02756 .57554 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgGoo00<007ooOol0>7oo00<007ooOol01goo00@007ooOol003Moo`03001o ogoo00Uoo`00Bgoo00@007ooOol000]oo`03001oogoo03Moo`03001oogoo03Qoo`03001oogoo00Yo o`03001oogoo03Ioo`03001oogoo00Qoo`00Bgoo00@007ooOol000Uoo`8003Yoo`03001oogoo03Qo o`03001oogoo00Qoo`8003Yoo`03001oogoo00Moo`00Bgoo00@007ooOol000Uoo`03001oogoo03Uo o`03001oogoo03Qoo`03001oogoo00Qoo`03001oogoo03Moo`04001oogoo0008Ool004aoo`8000Yo o`<003Qoo`8003Uoo`8000Yoo`<003Qoo`8000Uoo`00ogoo8Goo000BOol00`00Oomoo`3oOolMPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MP]Ool00`00Oomoo`0nOol00`00Oomo o`0nOol00`00Oomoo`0nOol00`00Oomoo`07Ool0019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi ?OPmnCgh?OTmn3gi?OPmnOYoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi >MPmnCghnWoo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OWjOol0 019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif;Iooa80039oo`004Woo 01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3giWgoo5`004Woo3@009Goo000B Ool200004Sgi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn9Aoo`/003Ioo`H001moo`00 4Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3giRGoo2`00Agoo1@006Woo 000BOol05000?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MR1Ool8001GOol2000H Ool0019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnG]oo`H0065oo`03 001oogoo01Eoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCghMWoo 1@00J7oo0P005Goo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OU` Ool6001_Ool00`00Oomoo`0BOol0019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPm nCgh?OTif6aoo`@007Ioo`03001oogoo015oo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTm n3gi?OPmnCgh?OTmn3giJGoo0`00NWoo00<007ooOol04Goo000BOol200004Sgi?OPmnCWH?OTmn3gi >MPmnCgh?OTif3gi?OPmnCWH?OTmn6Eoo`@007ioo`03001oogoo011oo`004Woo01@003gi?OPmnCgh ?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3giHWoo0`00Pgoo00<007ooOol03goo000BOol05000 ?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MQNOol40027Ool00`00Oomoo`0>Ool0 019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnEYoo`@008]oo`03001o ogoo00ioo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCghEgoo0`00 T7oo00<007ooOol03Goo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh ?OUDOol3002COol00`00Oomoo`0=Ool0019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi >MPmnCgh?OTif59oo`8009Ioo`03001oogoo00eoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh ?OTmn3gi?OPmnCgh?OTmn3giCgoo0`00V7oo00<007ooOol03Goo000BOol200004Sgi?OPmnCWH?OTm n3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn4aoo`<009]oo`03001oogoo00eoo`004Woo01@003gi?OPm nCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3giBWoo0P00Wgoo00<007ooOol037oo000BOol0 5000?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MQ7Ool3002QOol00`00Oomoo`0< Ool0019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnDEoo`800:Aoo`03 001oogoo00aoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh@goo 0P00YWoo00<007ooOol037oo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPm nCgh?OU1Ool2002XOol00`00Oomoo`0MPmnCgh?OTif3gi?OPm nCWH?OTmn3gi>MPmnCgh?OTif41oo`03001oogoo0:Uoo`03001oogoo00]oo`002Woo00<007ooOol0 1Goo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?Woo0P00[7oo00<007oo Ool02goo000;Ool00`00Oomoo`04Ool300004Cgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi ?OP0?7oo0P00[Woo00<007ooOol02goo000MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPiOol2002aOol0 0`00Oomoo`0;Ool000]oo`8000Eoo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi ?OPmnCQoo`03001oogoo0;5oo`03001oogoo00]oo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi ?OPmnCWH?OTmn3gi>MPmnCgh=Woo0P00]Goo00<007ooOol02Woo000BOol05000?OTmn3gi?OPmnCgh ?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTeOol00`00Oomoo`2eOol00`00Oomoo`0:Ool0019oo`0D 000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3Aoo`03001oogoo0;Ioo`03001o ogoo00Yoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3giMPmnCgh?OTif3gi?OPmnCWH?OTm n35oo`03001oogoo0;Uoo`03001oogoo00Yoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTm n3gi?OPmnCgh?OTmn3gi<7oo00<007ooOol0^Woo00<007ooOol02Woo000BOol05000?OPmnCWH?OTm n3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MP^Ool2002mOol00`00Oomoo`0:Ool0019oo`0D000m nCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnBeoo`03001oogoo0;eoo`03001oogoo 00Yoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh;7oo00<007oo Ool0_Woo00<007ooOol02Woo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPm nCgh?OTZOol20031Ool00`00Oomoo`0:Ool0019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTm n3gi>MPmnCgh?OTif2Uoo`03001oogoo0<5oo`03001oogoo00Yoo`004Woo01@003gi?OPmnCgh?OTm n3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi:7oo00<007ooOol0`Woo00<007ooOol02Woo000BOol2 00004Sgi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn2Moo`03001oogoo0<=oo`03001o ogoo00Yoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi9Woo00<0 07ooOol0a7oo00<007ooOol02Woo000BOol05000?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH ?OTmn3gi>MPTOol20037Ool00`00Oomoo`0:Ool0019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi ?OPmnCgh?OTmn3gi?OPmnB=oo`03001oogoo0MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh8Woo00<007ooOol0b7oo00<007ooOol02Woo000B Ool05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTQOol00`00Oomoo`39Ool0 0`00Oomoo`0:Ool0019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif21o o`03001oogoo0<]oo`03001oogoo00Uoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi ?OPmnCgh?OTmn3gi7goo00<007ooOol0c7oo00<007ooOol02Goo000BOol200004Sgi?OPmnCWH?OTm n3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn1moo`03001oogoo0MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPMOol00`00 Oomoo`3>Ool00`00Oomoo`09Ool0019oo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTm n3gi?OPmnAaoo`03001oogoo0MPmnCgh?OTi f3gi?OPmnCWH?OTmn3gi>MPmnCgh6goo00<007ooOol0d7oo00<007ooOol02Goo000BOol05000?OTm n3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTJOol00`00Oomoo`3AOol00`00Oomoo`09 Ool000aoo`<000=oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif1Yoo`03 001oogoo0=5oo`03001oogoo00Uoo`003Goo00<007ooOol00Woo01@003gi?OPmnCgh?OTmn3gi?OPm nCgh?OTmn3gi?OPmnCgh?OTmn3gi6Goo00<007ooOol0dWoo00<007ooOol02Goo000:Ool50003Ool3 00004Cgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OP067oo00<007ooOol0dgoo00<007oo Ool02Goo000:Ool01000Oomoo`0017oo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh ?OTmn3gi5goo00<007ooOol0e7oo00<007ooOol02Goo000;Ool00`00Ool00004Ool05000?OPmnCWH ?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPFOol00`00Oomoo`3EOol00`00Oomoo`09Ool0 00aoo`8000Aoo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnAIoo`03001o ogoo0=Eoo`03001oogoo00Uoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi >MPmnCgh5Goo00<007ooOol0eWoo00<007ooOol02Goo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi ?OPmnCgh?OTmn3gi?OPmnCgh?OTDOol00`00Oomoo`3GOol00`00Oomoo`09Ool0019oo`0D000mn3gi >MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif1Aoo`03001oogoo0=Moo`03001oogoo00Uo o`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi4goo00<007ooOol0 f7oo00<007ooOol02Goo000BOol200004Sgi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTm n19oo`03001oogoo0=Uoo`03001oogoo00Uoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTm n3gi?OPmnCgh?OTmn3gi4Woo00<007ooOol0fGoo00<007ooOol02Goo000BOol05000?OPmnCWH?OTm n3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPAOol00`00Oomoo`3JOol00`00Oomoo`09Ool0019o o`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnA1oo`03001oogoo0=]oo`03 001oogoo00Uoo`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh47oo 00<007ooOol0fgoo00<007ooOol02Goo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTm n3gi?OPmnCgh?OT?Ool00`00Oomoo`3LOol00`00Oomoo`09Ool0019oo`0D000mn3gi>MPmnCgh?OTi f3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif0ioo`03001oogoo0=eoo`03001oogoo00Uoo`004Woo01@0 03gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi3Woo00<007ooOol0gGoo00<007oo Ool02Goo000BOol200004Sgi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn0eoo`03001o ogoo0=ioo`03001oogoo00Uoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh ?OTmn3gi37oo00<007ooOol0ggoo00<007ooOol02Goo000BOol05000?OPmnCWH?OTmn3gi>MPmnCgh ?OTif3gi?OPmnCWH?OTmn3gi>MP5oo`03001oogoo00Qo o`004Woo01@003WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh2goo00<007ooOol0 hGoo00<007ooOol027oo000BOol05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh ?OT:Ool00`00Oomoo`3ROol00`00Oomoo`08Ool0019oo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH ?OTmn3gi>MPmnCgh?OTif0Yoo`03001oogoo0>9oo`03001oogoo00Qoo`004Woo01@003gi?OPmnCgh ?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi2Goo00<007ooOol0hgoo00<007ooOol027oo000B Ool200004Sgi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn0Uoo`03001oogoo0>=oo`03 001oogoo00Qoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi27oo 00<007ooOol0i7oo00<007ooOol027oo000BOol05000?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPm nCWH?OTmn3gi>MP7Ool00`00Oomoo`3UOol00`00Oomoo`08Ool0019oo`0D000mnCgh?OTmn3gi?OPm nCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmn@Moo`03001oogoo0>Eoo`03001oogoo00Qoo`004Woo01@0 03WH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh1Woo00<007ooOol0lGoo000BOol0 5000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OT6Ool00`00Oomoo`3aOol000Yo o`<000Eoo`0D000mn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif0Eoo`03001oogoo 0?9oo`002Woo00@007ooOol000Aoo`0D000mnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi ?OPmn@Eoo`03001oogoo0?9oo`002Woo00@007ooOol000Aoo`<0000A?OPmnCWH?OTmn3gi>MPmnCgh ?OTif3gi?OPmnCWH?OTmn004Ool00`00Oomoo`3cOol000Yoo`<000Eoo`0D000mnCgh?OTmn3gi?OPm nCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmn@Aoo`03001oogoo0?=oo`002goo00<007ooOol017oo01@0 03gh?OTif3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH0goo00<007ooOol0m7oo000;Ool3 0004Ool05000?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OT3Ool00`00Oomoo`3d Ool0019oo`0D000if3gi?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn09oo`03001oogoo 0?Eoo`004Woo01@003gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi0Woo00<007oo Ool0mGoo000BOol05P00?OPmnCWH?OTmn3gi>MPmnCgh?OTif3gi?OPmnCWH?OTmn3gi>MQoo`00n7oo 000BOol05P00?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OTmn3gi?OPmnCgh?OUoo`00n7oo000BOolE 003iOol0019oo`03001oogoo015oo`03001oogoo0?Moo`004Woo00<007ooOol04Goo00<007ooOol0 mgoo000BOol00`00Oomoo`0@Ool00`00Oomoo`3hOol0019oo`03001oogoo011oo`03001oogoo0?Qo o`004Woo00<007ooOol03goo00<007ooOol0nGoo000BOol00`00Oomoo`0?Ool00`00Oomoo`3iOol0 019oo`03001oogoo00moo`03001oogoo0?Uoo`004Woo0P003goo00<007ooOol0nWoo000BOol00`00 Oomoo`0>Ool00`00Oomoo`3jOol0019oo`03001oogoo00eoo`03001oogoo0?]oo`004Woo00<007oo Ool03Goo00<007ooOol0ngoo000BOol00`00Oomoo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.00124022, -5.00002*^-06, \ 0.00349296, 0.00565173}, {{0.3125, 286.625}, {176.938, 0}} -> {-0.145171, \ -0.774045, 0.00770721, 0.0624816}, {{0.3125, 286.625}, {176.938, 0}} -> \ {-0.145171, -0.774045, 0.00770721, 0.0624816}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]] }, Open ]] }, FrontEndVersion->"5.0 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, CellGrouping->Manual, WindowSize->{496, 537}, WindowMargins->{{52, Automatic}, {Automatic, 31}} ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1776, 53, 654, 19, 229, "Title"], Cell[2433, 74, 277, 6, 107, "Subsubtitle"], Cell[CellGroupData[{ Cell[2735, 84, 166, 4, 66, "Subsubtitle"], Cell[CellGroupData[{ Cell[2926, 92, 189, 4, 50, "Input"], Cell[3118, 98, 129, 2, 47, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3284, 105, 191, 4, 30, "Input"], Cell[3478, 111, 137, 2, 43, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[3664, 119, 78, 1, 48, "Subsubtitle"], Cell[3745, 122, 55, 1, 30, "Input"], Cell[3803, 125, 32, 0, 30, "Input"], Cell[3838, 127, 62, 1, 30, "Input"], Cell[3903, 130, 24, 0, 30, "Input"], Cell[3930, 132, 25, 0, 30, "Input"], Cell[3958, 134, 65, 1, 30, "Input"], Cell[4026, 137, 47, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[4110, 143, 166, 4, 68, "Subsubtitle"], Cell[4279, 149, 44, 0, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[4360, 154, 75, 1, 48, "Subsubtitle"], Cell[4438, 157, 74, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[4549, 163, 75, 1, 48, "Subsubtitle"], Cell[4627, 166, 30, 0, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[4694, 171, 121, 2, 68, "Subsubtitle"], Cell[CellGroupData[{ Cell[4840, 177, 112, 3, 48, "Input"], Cell[4955, 182, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5122, 190, 136, 3, 66, "Input"], Cell[5261, 195, 13526, 462, 186, 5071, 353, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[18836, 663, 121, 2, 68, "Subsubtitle"], Cell[18960, 667, 63, 2, 30, "Input"], Cell[CellGroupData[{ Cell[19048, 673, 112, 3, 48, "Input"], Cell[19163, 678, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[19330, 686, 136, 3, 66, "Input"], Cell[19469, 691, 11015, 342, 186, 3431, 244, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[30533, 1039, 229, 5, 88, "Subsubtitle"], Cell[CellGroupData[{ Cell[30787, 1048, 55, 0, 30, "Input"], Cell[30845, 1050, 15842, 559, 186, 5635, 428, "GraphicsData", "PostScript", \ "Graphics"], Cell[46690, 1611, 130, 3, 29, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[46869, 1620, 166, 4, 68, "Subsubtitle"], Cell[47038, 1626, 44, 0, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[47119, 1631, 75, 1, 48, "Subsubtitle"], Cell[47197, 1634, 71, 1, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[47305, 1640, 75, 1, 48, "Subsubtitle"], Cell[47383, 1643, 33, 0, 30, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[47453, 1648, 118, 1, 68, "Subsubtitle"], Cell[CellGroupData[{ Cell[47596, 1653, 119, 3, 48, "Input"], Cell[47718, 1658, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[47885, 1666, 136, 3, 66, "Input"], Cell[48024, 1671, 12499, 407, 186, 4366, 302, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[60572, 2084, 118, 1, 68, "Subsubtitle"], Cell[CellGroupData[{ Cell[60715, 2089, 141, 4, 66, "Input"], Cell[60859, 2095, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[61026, 2103, 136, 3, 66, "Input"], Cell[61165, 2108, 11570, 351, 186, 3469, 246, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[72784, 2465, 150, 4, 68, "Subsubtitle"], Cell[CellGroupData[{ Cell[72959, 2473, 59, 0, 30, "Input"], Cell[73021, 2475, 17034, 577, 186, 5692, 432, "GraphicsData", "PostScript", \ "Graphics"], Cell[90058, 3054, 130, 3, 29, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[90237, 3063, 269, 8, 73, "Subsubtitle"], Cell[90509, 3073, 44, 0, 30, "Input"], Cell[90556, 3075, 74, 1, 30, "Input"], Cell[90633, 3078, 30, 0, 30, "Input"], Cell[CellGroupData[{ Cell[90688, 3082, 70, 0, 30, "Input"], Cell[90761, 3084, 14960, 492, 186, 4767, 362, "GraphicsData", "PostScript", \ "Graphics"], Cell[105724, 3578, 130, 3, 29, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[105903, 3587, 430, 8, 168, "Subsubtitle"], Cell[106336, 3597, 37, 0, 30, "Input"], Cell[CellGroupData[{ Cell[106398, 3601, 81, 2, 30, "Input"], Cell[106482, 3605, 70, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[106589, 3611, 79, 2, 30, "Input"], Cell[106671, 3615, 69, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[106777, 3621, 79, 2, 30, "Input"], Cell[106859, 3625, 69, 1, 29, "Output"] }, Open ]], Cell[106943, 3629, 40, 0, 30, "Input"], Cell[CellGroupData[{ Cell[107008, 3633, 180, 4, 66, "Input"], Cell[107191, 3639, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[107358, 3647, 182, 4, 66, "Input"], Cell[107543, 3653, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[107710, 3661, 182, 4, 66, "Input"], Cell[107895, 3667, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[108062, 3675, 77, 2, 30, "Input"], Cell[108142, 3679, 19459, 691, 186, 7862, 544, "GraphicsData", "PostScript", \ "Graphics"], Cell[127604, 4372, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[127771, 4380, 77, 2, 30, "Input"], Cell[127851, 4384, 22162, 725, 186, 7855, 544, "GraphicsData", "PostScript", \ "Graphics"], Cell[150016, 5111, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[150183, 5119, 77, 2, 30, "Input"], Cell[150263, 5123, 21653, 719, 186, 7856, 544, "GraphicsData", "PostScript", \ "Graphics"], Cell[171919, 5844, 130, 3, 29, "Output"] }, Open ]] }, Closed]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)