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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[ 221082, 4916]*) (*NotebookOutlinePosition[ 221721, 4938]*) (* CellTagsIndexPosition[ 221677, 4934]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Working with Text and Graphics Primitives in Log plots", "Section"], Cell["\<\ Here is an example of how to incorporate the Graphics Primitives Text and \ Point in a log plot. Although the option Epilog will work it will put things \ in the wrong place. We will do this using an example.\ \>", "Text"], Cell[CellGroupData[{ Cell["Setting things up.", "Subsection"], Cell["\<\ We need to load the Graphics`Graphics` package for the Log plot and in this \ case we change the default setting for Text in a plot.\ \>", "Text"], Cell[BoxData[ \(<< Graphics`Graphics`\)], "Input"], Cell[BoxData[ \(\(Opts6\ = \ Sequence[FontFamily \[Rule] "\", FontSize \[Rule] 20];\)\)], "Input"], Cell["\<\ Next we define our function. It is not necessary to define the function \ outside the Plot function but it can make our work easier in some cases.\ \>", "Text"], Cell[BoxData[ \(g[x_] := 5 + \((1 - \(\(\ \)\(x\)\)\/2)\)\ \ Cos[\[Pi]\ \ x]\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["The points", "Subsection"], Cell["\<\ Since we are going to want to incorporate some points in our plot we must \ modify them. Here is our set of points.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(points\ = \ {{12.011239`, 0}, {13.820969`, 0}, {14.193929`, 0}, {14.011239`, \(-1.0018763452183412`\)}, {11.011239`, 9.502811258289753`}, {13.011239`, 10.502187982908811`}, {15.011239`, 11.50156470752787`}}\)], "Input"], Cell[BoxData[ \({{12.011239`, 0}, {13.820969`, 0}, {14.193929`, 0}, {14.011239`, \(-1.0018763452183412`\)}, {11.011239`, 9.502811258289753`}, {13.011239`, 10.502187982908811`}, {15.011239`, 11.50156470752787`}}\)], "Output"] }, Open ]], Cell["\<\ Next we correct the values of the coordinates to have them appear at the \ correct location in our plot. We do this by mapping {Log[10,#[[1]]],#[[2]]}& \ onto the set of points.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(newpts\ = \ Map[{Log[10, #[\([1]\)]], #[\([2]\)]} &, points]\)], "Input"], Cell[BoxData[ \({{1.0795878086609556`, 0}, {1.1405384928645323`, 0}, {1.1521026284971136`, 0}, {1.146476541215179`, \(-1.0018763452183412`\)}, \ {1.0418361891432844`, 9.502811258289753`}, {1.1143186543819024`, 10.502187982908811`}, {1.17641653958877`, 11.50156470752787`}}\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Putting things together", "Subsection"], Cell["\<\ Now we put the parts together to obtain our plot. 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.6533 .38157 L .65334 .38157 L .65336 .38157 L .65337 .38156 L .65344 .38155 L .65348 .38154 L .65351 .38153 L .65365 .38147 L .65377 .38139 L .65391 .38129 L .65421 .38097 L .65448 .38057 L .655 .37952 L .65557 .37797 L .65669 .37367 L .65776 .36804 L .65878 .36135 L .65986 .35297 L .6609 .34384 L .66201 .33319 L .66306 .32222 L .66408 .31121 L .66515 .29926 L .66618 .28775 L .66727 .27578 L .66831 .26476 L .66931 .25486 L .67037 .24531 L .67139 .23728 L .67237 .2308 L .67291 .22778 L .6734 .2254 L .67392 .22332 L Mistroke .67439 .22178 L .67488 .2206 L .67513 .22014 L .67528 .21993 L .67541 .21977 L .67552 .21965 L .67564 .21955 L .67577 .21948 L .67583 .21945 L .67587 .21944 L .6759 .21943 L .67593 .21942 L .67596 .21941 L .67599 .21941 L .67602 .21941 L .67604 .21941 L .67607 .21941 L .67609 .21941 L .67612 .21941 L .67615 .21942 L .67619 .21942 L .67625 .21944 L .67631 .21947 L .67636 .2195 L .67649 .21958 L .67663 .21971 L .67688 .22002 L .67712 .22044 L .67735 .22091 L .67782 .22221 L .67834 .22409 L .67935 .22911 L .68032 .23553 L .68135 .24395 L .68234 .25345 L .68328 .2637 L .68428 .27557 L .68525 .28771 L .68617 .29982 L .68714 .31293 L .68808 .32549 L .68907 .3385 L .69003 .35043 L .69094 .36111 L .69191 .37136 L .69284 .37995 L .69382 .38747 L .69431 .39057 L .69476 .393 L .69523 .39507 L Mistroke .69567 .39659 L .69611 .3977 L .69634 .39811 L .69647 .39829 L .69659 .39842 L .6967 .39851 L .69676 .39855 L .69682 .39858 L .69688 .3986 L .69691 .39861 L .69693 .39862 L .69696 .39862 L .69698 .39862 L .69701 .39862 L .69704 .39862 L .69707 .39862 L .69708 .39862 L .6971 .39861 L .69713 .39861 L .69716 .3986 L .69721 .39858 L .69727 .39855 L .6974 .39845 L .69752 .39833 L .69776 .39798 L .69799 .39752 L .69842 .39634 L .69888 .39461 L .69931 .39258 L .70021 .38693 L .70117 .37905 L .70209 .36978 L .70297 .35948 L .7039 .34725 L .7048 .33447 L .70566 .32151 L .70657 .30725 L .70745 .29336 L .70837 .27873 L .70926 .26508 L .71011 .25264 L .71102 .24041 L .71189 .22988 L .71272 .22113 L .7136 .21347 L .71445 .2079 L .71488 .20574 L .71511 .20485 L .71534 .20404 L .71557 .20341 L Mistroke .71577 .20297 L .71587 .2028 L .71598 .20265 L .71608 .20253 L .71617 .20245 L .71623 .20241 L .71627 .20239 L .7163 .20238 L .71633 .20237 L .71636 .20236 L .71638 .20236 L .71641 .20236 L .71643 .20235 L .71646 .20236 L .71648 .20236 L .7165 .20236 L .71653 .20237 L .71655 .20238 L .71658 .20239 L .71664 .20242 L .71669 .20245 L .71681 .20256 L .71692 .2027 L .71703 .20287 L .71724 .2033 L .71746 .20389 L .71786 .2053 L .71828 .20729 L .71867 .20961 L .7195 .21593 L .72038 .22464 L .72123 .23481 L .72204 .24603 L .7229 .25931 L .72373 .27314 L .7246 .28863 L .72544 .30403 L .72625 .31897 L .7271 .33467 L .72792 .34927 L .72871 .36255 L .72954 .37556 L .73034 .38674 L .73119 .3969 L .73201 .40479 L .73279 .41045 L .73319 .41258 L .73339 .41346 L .73362 .41425 L .73382 .41483 L Mistroke .73391 .41504 L .73401 .41523 L .7341 .41537 L .73419 .41549 L .73424 .41555 L .73429 .41559 L .73434 .41562 L .73438 .41565 L .7344 .41566 L .73443 .41566 L .73444 .41567 L .73445 .41567 L .73448 .41568 L .7345 .41568 L .73453 .41568 L .73455 .41567 L .73457 .41567 L .73458 .41567 L .73461 .41566 L .73463 .41565 L .73468 .41563 L .73472 .4156 L .73477 .41556 L .73487 .41544 L .73497 .4153 L .73519 .41485 L .7354 .41426 L .7356 .41355 L .73597 .41183 L .73637 .40944 L .73674 .40673 L .73753 .39941 L .73829 .39049 L .73909 .37915 L .73985 .36665 L .74067 .35193 L .74145 .33664 L .7422 .3212 L .743 .30432 L .74376 .28796 L .74457 .27084 L .74535 .25495 L .7461 .24056 L .74689 .22654 L .74765 .21458 L .74838 .20476 L .74915 .19633 L .74989 .19038 L .7503 .18807 L .75048 .18724 L Mistroke .75068 .18652 L .75088 .18596 L .75106 .1856 L .75115 .18547 L .75119 .18542 L .75124 .18538 L .75128 .18535 L .7513 .18533 L .75133 .18532 L .75135 .18531 L .75137 .18531 L .75139 .1853 L .75141 .1853 L .75143 .1853 L .75145 .1853 L .75148 .1853 L .7515 .18531 L .75152 .18532 L .75154 .18533 L .75159 .18536 L .75164 .1854 L .75169 .18545 L .75179 .18558 L .75188 .18575 L .75197 .18595 L .75214 .1864 L .75232 .18705 L .75252 .1879 L .75286 .18984 L .75358 .19546 L .75434 .20378 L .75507 .2139 L .75584 .22673 L .75658 .24084 L .75729 .25577 L .75805 .2728 L .75878 .28997 L .75947 .30687 L .76021 .32493 L .76092 .34202 L .76167 .35948 L .76239 .37526 L .76308 .38914 L .76382 .40222 L .76452 .41288 L .76527 .42189 L .76565 .42543 L .76599 .4281 L .76633 .43013 L .7665 .43094 L Mistroke .76668 .43165 L .76677 .43194 L .76686 .43218 L .76695 .43237 L .76703 .43251 L .76711 .43261 L .76715 .43265 L .76719 .43268 L .76723 .43271 L .76725 .43272 L .76727 .43273 L .76729 .43273 L .76731 .43273 L .76734 .43273 L .76736 .43273 L .76738 .43272 L .76739 .43272 L .7674 .43272 L .76745 .43269 L .76747 .43267 L .7675 .43265 L .76754 .4326 L .76764 .43247 L .76772 .43231 L .76788 .4319 L .76805 .43131 L .7684 .42961 L .76873 .42745 L .76942 .42101 L .77016 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L .79232 .39086 L .79296 .4066 L .79358 .41982 L .79424 .43151 L .79487 .4402 L .79521 .44382 L .79554 .44646 L .79569 .44747 L Mistroke .79586 .44833 L .796 .44892 L .79616 .44939 L .79624 .44957 L .79628 .44964 L .79632 .44969 L .79635 .44973 L .79639 .44976 L .79641 .44977 L .79643 .44978 L .79645 .44978 L .79647 .44979 L .79648 .44979 L .79649 .44979 L .79651 .44979 L .79652 .44978 L .79654 .44978 L .79656 .44977 L .79658 .44976 L .7966 .44974 L .79664 .44969 L .79668 .44965 L .79672 .44958 L .7968 .44941 L .79689 .44918 L .79697 .44892 L .79711 .4483 L .79727 .44744 L .79745 .4463 L .79776 .44365 L .79809 .44004 L .79869 .43157 L .79933 .41986 L .79994 .40622 L .80059 .38943 L .80121 .37138 L .80181 .35262 L .80244 .33154 L .80305 .31059 L .8037 .28808 L .80432 .26663 L .80491 .24664 L .80554 .22653 L .80615 .20869 L .80673 .19331 L .80735 .17918 L .80795 .16806 L .80825 .16341 L .80858 .15917 L .80889 .15593 L Mistroke .80918 .15366 L .80934 .15272 L .80949 .15203 L .80963 .15159 L .80971 .15141 L .80978 .15129 L .80982 .15125 L .80985 .15122 L .80987 .15121 L .80988 .1512 L .80989 .15119 L .80991 .15119 L .80993 .15119 L .80994 .15119 L .80996 .15119 L .80998 .15119 L .80999 .1512 L .81001 .15121 L .81003 .15122 L .81006 .15126 L .8101 .15131 L .81014 .15138 L .81023 .15156 L .8103 .15179 L .81038 .15205 L .81052 .15273 L .81068 .15365 L .81096 .15583 L .81126 .15889 L .81153 .16243 L .81212 .17204 L .81274 .18521 L .81334 .20052 L .81391 .21738 L .81452 .23727 L .8151 .25792 L .81572 .28101 L .81632 .30389 L .81689 .32605 L .8175 .34925 L .81808 .37078 L .81864 .3903 L .81923 .40936 L .8198 .42566 L .82041 .4404 L .82099 .45176 L .82155 .45981 L .82184 .4628 L .82198 .46402 L .82214 .46509 L Mistroke .82229 .46586 L .82242 .46637 L .82249 .46655 L .82252 .46663 L .82256 .4667 L .8226 .46676 L .82263 .46679 L .82264 .46681 L .82266 .46682 L .82267 .46683 L .82269 .46684 L .82271 .46685 L .82272 .46685 L .82274 .46685 L .82276 .46684 L .82278 .46684 L .82278 .46683 L .82279 .46683 L .82283 .4668 L .82286 .46676 L .8229 .4667 L .82296 .46657 L .82304 .46636 L .82312 .46607 L .82326 .4654 L .8234 .46455 L .82354 .46343 L .82381 .46086 L .82412 .45699 L .82441 .45248 L .82496 .44167 L .82554 .42717 L .82611 .41057 L .82665 .39249 L .82722 .37131 L .82777 .34948 L .82836 .32519 L .82892 .30123 L .82946 .27814 L .83003 .25404 L .83058 .23177 L .83116 .20962 L .83173 .19024 L .83226 .1738 L .83284 .15908 L .83339 .1479 L .83366 .14347 L .83391 .14016 L .83418 .13739 L .83433 .13622 L Mistroke .83447 .13535 L .83461 .13474 L .83467 .13451 L .83471 .1344 L .83475 .13432 L .83478 .13426 L .83481 .13421 L .83485 .13417 L .83486 .13415 L .83488 .13414 L .8349 .13413 L .83491 .13413 L .83493 .13413 L .83494 .13413 L .83496 .13413 L .83497 .13414 L .83499 .13415 L .835 .13416 L .83504 .1342 L .83508 .13426 L .83514 .1344 L .83521 .1346 L .83527 .13483 L .83541 .13551 L .83556 .13649 L .83583 .13892 L .83608 .14196 L .83661 .15078 L .83717 .16352 L .83771 .17885 L .83823 .19612 L .83879 .21687 L .83932 .23875 L .83988 .26355 L .84042 .28845 L .84094 .31284 L .84149 .33872 L .84202 .36306 L .84253 .38543 L .84307 .40767 L .84358 .42708 L .84413 .44513 L .84466 .45961 L .84517 .47055 L .84543 .47497 L .84571 .47872 L .84585 .4802 L .84599 .48152 L .84613 .4825 L .84626 .48318 L Mistroke .84632 .48343 L .84639 .48364 L .84642 .48372 L .84645 .48378 L .84648 .48383 L .84651 .48386 L .84653 .48388 L .84654 .48389 L .84656 .4839 L .84657 .4839 L .84658 .4839 L .84659 .48391 L .84661 .4839 L .84662 .4839 L .84664 .48389 L .84666 .48387 L .84668 .48385 L .84671 .48381 L .84674 .48374 L .84678 .48365 L .84685 .48345 L .84691 .48321 L .84704 .48249 L .84718 .48153 L .84732 .48024 L .8476 .47693 L .84786 .47284 L .84837 .46257 L .8489 .44823 L .84941 .43139 L .84996 .41061 L .85048 .38819 L .85098 .36483 L .85151 .3386 L .85203 .3125 L .85252 .28714 L .85304 .26041 L .85354 .23548 L .85407 .2104 L .85458 .18815 L .85508 .16897 L .8556 .1514 L .8561 .13761 L .85658 .12752 L .85683 .12361 L .85709 .12042 L .85722 .11925 L .85736 .11825 L .85742 .1179 L .85749 .11759 L Mistroke .85755 .11736 L .85761 .11722 L .85764 .11716 L .85767 .11711 L .85769 .1171 L .8577 .11709 L .85771 .11708 L .85772 .11707 L .85774 .11707 L .85775 .11707 L .85777 .11707 L .85778 .11708 L .8578 .11709 L .85781 .1171 L .85783 .11712 L .85786 .11716 L .85789 .11722 L .85792 .1173 L .85799 .11753 L .85806 .11781 L .85812 .11813 L .85825 .11903 L .85838 .12013 L .85861 .12284 L .85886 .12669 L .8591 .13108 L .85959 .14308 L .86007 .1578 L .86057 .17659 L .86106 .19736 L .86157 .22188 L .86207 .24736 L .86254 .27311 L .86305 .30128 L .86353 .3286 L .86405 .3572 L .86454 .38375 L .86502 .40781 L .86552 .43128 L .86601 .4513 L .86647 .46779 L .86697 .48197 L .86744 .49206 L .8677 .496 L .86782 .49744 L .86795 .49869 L .86806 .4996 L .86812 .49999 L .86819 .50034 L .86825 .50059 L Mistroke .86828 .50068 L .86831 .50076 L .86833 .50083 L .86836 .50088 L 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