(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of 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[ 111708, 4142]*) (*NotebookOutlinePosition[ 112419, 4167]*) (* CellTagsIndexPosition[ 112375, 4163]*) (*WindowFrame->Normal*) Notebook[{ Cell["\<\ (* ChineseLeapMonths.nb, example notebook for the ChineseLeapMonths.m package \ *) (* :Title: Chinese leap months and the date of Chinese New Year *) (* :Author: Helmer Aslaksen Department of Mathematics National University of Singapore Singapore 117543 Republic of Singapore http://www.math.nus.edu.sg/aslaksen/ *) (* :Mathematica Version: 3.0 *) (* :Package Version: 1.03, June 11, 1999 *) (* :Requirements: Calendrica.m, written by Robert C. McNally, available from \ http://emr.cs.uiuc.edu/home/reingold/calendar-book/. *)\ \>", "Input", FormatType->TextForm], Cell[BoxData[ \(Get["\"]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(?ChineseLeapMonths\)\)], "Input"], Cell[BoxData[ \("ChineseLeapMonths is a package for computing information about Chinese \ leap months and the date of Chinese New Year. It is written by Helmer \ Aslaksen, Department of Mathematics, National University of Singapore, \ , http://www.math.nus.edu.sg/aslaksen/. It uses the \ functions written by Nachum Dershowitz and Edward M. Reingold for their book \ Calendrical Calculations, published by Cambridge University Press, ISBN \ 0-521-56474-3. Their Lisp functions were translated into the Mathematica \ package Calendrica by Robert C. McNally , which \ is available from their web site \ http://emr.cs.uiuc.edu/home/reingold/calendar-book/."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?nthNewMoonOnOrAfterNewYear\)\)], "Input"], Cell[BoxData[ \("nthNewMoonOnOrAfterNewYear[gYear, n] gives the fixed date for the nth \ new moon on or after Chinese New Year in the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Gregorian[nthNewMoonOnOrAfterNewYear[1998, 6]]\)], "Input"], Cell[BoxData[ \(Gregorian[6, 24, 1998]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?nthChineseMonth\)\)], "Input"], Cell[BoxData[ \("nthChineseMonth[gYear, n, leap] gives the Gregorian date for the new \ moon that starts the nth Chinese month in the Chinese year that starts in the \ given Gregorian year. If it is a leap month, add an extra variable equal to \ 1."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(nthChineseMonth[1998, 6]\)], "Input"], Cell[BoxData[ \(Gregorian[7, 23, 1998]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseNewMoonsInYear\)\)], "Input"], Cell[BoxData[ \("chineseNewMoonsInYear[gYear] lists the new moons in the Chinese year \ starting in the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseNewMoonsInYear[1998]\)], "Input"], Cell[BoxData[ \({Gregorian[1, 28, 1998], Gregorian[2, 27, 1998], Gregorian[3, 28, 1998], Gregorian[4, 26, 1998], Gregorian[5, 26, 1998], Gregorian[6, 24, 1998], Gregorian[7, 23, 1998], Gregorian[8, 22, 1998], Gregorian[9, 21, 1998], Gregorian[10, 20, 1998], Gregorian[11, 19, 1998], Gregorian[12, 19, 1998], Gregorian[1, 17, 1999]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseNewMoonsInYear[1999]\)], "Input"], Cell[BoxData[ \({Gregorian[2, 16, 1999], Gregorian[3, 18, 1999], Gregorian[4, 16, 1999], Gregorian[5, 15, 1999], Gregorian[6, 14, 1999], Gregorian[7, 13, 1999], Gregorian[8, 11, 1999], Gregorian[9, 10, 1999], Gregorian[10, 9, 1999], Gregorian[11, 8, 1999], Gregorian[12, 8, 1999], Gregorian[1, 7, 2000]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?majorSolarTermsInYear\)\)], "Input"], Cell[BoxData[ \("majorSolarTermsInYear[gYear] lists the major solar terms (zhongqi's) \ in the Chinese year starting in the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(majorSolarTermsInYear[1999]\)], "Input"], Cell[BoxData[ \({Gregorian[2, 19, 1999], Gregorian[3, 21, 1999], Gregorian[4, 20, 1999], Gregorian[5, 21, 1999], Gregorian[6, 22, 1999], Gregorian[7, 23, 1999], Gregorian[8, 23, 1999], Gregorian[9, 23, 1999], Gregorian[10, 24, 1999], Gregorian[11, 23, 1999], Gregorian[12, 22, 1999], Gregorian[1, 21, 2000]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapYearQ\)\)], "Input"], Cell[BoxData[ \("chineseLeapYearQ[gYear] returns true if the Chinese year starting in \ the given Gregorian year is a leap year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearQ[1998]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearQ[1999]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearQ[2033]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearQ[2262]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearQ[3358]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapSolsticeYearQ\)\)], "Input"], Cell[BoxData[ \("chineseLeapSolsticeYearQ[gYear] returns true if the Chinese solstice \ year starting in the year before the given Gregorian year has 13 months."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[1998]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[1999]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[2033]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[2034]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[2262]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[2263]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[3358]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapSolsticeYearQ[3359]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapMonth\)\)], "Input"], Cell[BoxData[ \("chineseLeapMonth[gYear] gives the number of the month that is repeated \ if the Chinese year starting in the given Gregorian year is a Chinese leap \ year, and returns nothing if the given Gregorian year is not a Chinese leap \ year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonth[1998]\)], "Input"], Cell[BoxData[ \(5\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonth[2033]\)], "Input"], Cell[BoxData[ \(11\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonth[3358]\)], "Input"], Cell[BoxData[ \(12\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonth[2262]\)], "Input"], Cell[BoxData[ \(1\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapMonthQ\)\)], "Input"], Cell[BoxData[ \("chineseLeapMonthQ[gYear, n] returns true if the nth month of the \ Chinese year starting in the given Gregorian year has a leap month."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[1998, 5]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[1998, 7]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[2033, 7]\)], "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[2033, 11]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[3358, 12]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthQ[2262, 1]\)], "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?winterSolstice\)\)], "Input"], Cell[BoxData[ \("winterSolstice[gYear] gives the Gregorian date of the winter solstice \ of the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(winterSolstice[1999]\)], "Input"], Cell[BoxData[ \(Gregorian[12, 22, 1999]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?z12\)\)], "Input"], Cell[BoxData[ \("z12[gYear] gives the Gregorian date of the 12th zhongqi (major solar \ term) of the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(z12[1999]\)], "Input"], Cell[BoxData[ \(Gregorian[1, 20, 1999]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?liChuen\)\)], "Input"], Cell[BoxData[ \("liChuen[gYear] gives the Gregorian date of the lichuen (first minor \ solar term) of the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(liChuen[2000]\)], "Input"], Cell[BoxData[ \(Gregorian[2, 4, 2000]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?z1\)\)], "Input"], Cell[BoxData[ \("z1[gYear] gives the Gregorian date of the 1st zhongqi (major solar \ term) of the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(z1[2000]\)], "Input"], Cell[BoxData[ \(Gregorian[2, 19, 2000]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?z2\)\)], "Input"], Cell[BoxData[ \("z2[gYear] gives the Gregorian date of the 2nd zhongqi (major solar \ term) of the given Gregorian year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(z2[2000]\)], "Input"], Cell[BoxData[ \(Gregorian[3, 20, 2000]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseNewYearData\)\)], "Input"], Cell[BoxData[ \("chineseNewYearData[gYear] gives the Gregorian date of the astronomical \ events necessary to determine the date of Chinese New Year of the given \ Gregorian year and any possible leap months for months 11, 12 and 1."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseNewYearData[2000]\)], "Input"], Cell[BoxData[ \("Winter solstice:"\ Gregorian[12, 22, 1999]\)], "Print"], Cell[BoxData[ \("Month 11+:"\ Gregorian[1, 7, 2000]\)], "Print"], Cell[BoxData[ \("zhongqi 12:"\ Gregorian[1, 20, 1999]\)], "Print"], Cell[BoxData[ \("Chinese New Year:"\ Gregorian[2, 5, 2000]\)], "Print"], Cell[BoxData[ \("Li chuen:"\ Gregorian[2, 4, 2000]\)], "Print"], Cell[BoxData[ \("zhongqi 1:"\ Gregorian[2, 19, 2000]\)], "Print"], Cell[BoxData[ \("Month 1+:"\ Gregorian[3, 6, 2000]\)], "Print"], Cell[BoxData[ \("zhongqi 2:"\ Gregorian[3, 20, 2000]\)], "Print"], Cell[BoxData[ \("Month 1++:"\ Gregorian[4, 5, 2000]\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?mChineseNewYear\)\)], "Input"], Cell[BoxData[ \("mtChineseNewYear[gYear] gives the moment (fixed day with fractional \ part indicating time of day) for ChineseNewYear[gYear]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(mChineseNewYear[1999]\)], "Input"], Cell[BoxData[ StyleBox["729801.610222313179`", StyleBoxAutoDelete->True, PrintPrecision->10]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?tChineseNewYear\)\)], "Input"], Cell[BoxData[ \("tChineseNewYear[gYear] gives the Gregorian day and time for \ ChineseNewYear[gYear]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(tChineseNewYear[1999]\)], "Input"], Cell[BoxData[ InterpretationBox[ \(Gregorian[2, 16, 1999]\[InvisibleSpace]TimeOfDay[14, 38, 43.2078475952148455`]\), SequenceForm[ Gregorian[ 2, 16, 1999], TimeOfDay[ 14, 38, 43.207847595214844]], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?mChineseNewMoonOnOrAfter\)\)], "Input"], Cell[BoxData[ \("mChineseNewMoonOnOrAfter[date] gives the moment (fixed day with \ fractional part indicating time of day) for \ ChineseNewMoonOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(mChineseNewMoonOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\)], "Input"], Cell[BoxData[ StyleBox["729919.12695568617`", StyleBoxAutoDelete->True, PrintPrecision->10]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?tChineseNewMoonOnOrAfter\)\)], "Input"], Cell[BoxData[ \("tChineseNewMoonOnOrAfter[date] gives the Gregorian day and time for \ ChineseNewMoonOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(tChineseNewMoonOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\)], "Input"], Cell[BoxData[ InterpretationBox[ \(Gregorian[6, 14, 1999]\[InvisibleSpace]TimeOfDay[3, 2, 48.9712829589843767`]\), SequenceForm[ Gregorian[ 6, 14, 1999], TimeOfDay[ 3, 2, 48.971282958984375]], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?mChineseDateNextSolarLongitude\)\)], "Input"], Cell[BoxData[ \("mChineseDateNextSolarLongitude[d, l] gives the moment (fixed day with \ fractional part indicating time of day) for 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Cell[BoxData[ \("mMajorSolarTermOnOrAfter[date] gives the moment (fixed day with \ fractional part indicating time of day) for \ MajorSolarTermOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(mMajorSolarTermOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\)], "Input"], Cell[BoxData[ StyleBox["729927.158931255437`", StyleBoxAutoDelete->True, PrintPrecision->10]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?tMajorSolarTermOnOrAfter\)\)], "Input"], Cell[BoxData[ \("tMajorSolarTermOnOrAfter[date] gives the Gregorian day and time for \ MajorSolarTermOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(tMajorSolarTermOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\)], "Input"], Cell[BoxData[ InterpretationBox[ \(Gregorian[6, 22, 1999]\[InvisibleSpace]TimeOfDay[3, 48, 51.66046142578125`]\), SequenceForm[ Gregorian[ 6, 22, 1999], TimeOfDay[ 3, 48, 51.66046142578125]], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?mMinorSolarTermOnOrAfter\)\)], "Input"], Cell[BoxData[ \("mMinorSolarTermOnOrAfter[date] gives the moment (fixed day with \ fractional part indicating time of day) for \ MinorSolarTermOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(mMinorSolarTermOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\ \)\)], "Input"], Cell[BoxData[ StyleBox["729942.892200628801`", StyleBoxAutoDelete->True, PrintPrecision->10]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?tMinorSolarTermOnOrAfter\)\)], "Input"], Cell[BoxData[ \("tMinorSolarTermOnOrAfter[date] gives the Gregorian day and time for \ MinorSolarTermOnOrAfter[date]."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(tMinorSolarTermOnOrAfter[ToFixed[Gregorian[June[], 11, 1999]]]\ \)\)], "Input"], Cell[BoxData[ InterpretationBox[ \(Gregorian[7, 7, 1999]\[InvisibleSpace]TimeOfDay[21, 24, 46.134323120117191`]\), SequenceForm[ Gregorian[ 7, 7, 1999], TimeOfDay[ 21, 24, 46.134323120117188]], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?daysToLiChuen\)\)], "Input"], Cell[BoxData[ \("daysToLiChuen[gYear] gives the number of days between lichuen (the \ first minor solar term) and Chinese New Year of the given Gregorian and the \ new moons before and after New Year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(daysToLiChuen[1985]\)], "Input"], Cell[BoxData[ InterpretationBox[ \(1985\[InvisibleSpace]": CNY-1 to LC: "\[InvisibleSpace]14 \[InvisibleSpace]", CNY to LC: "\[InvisibleSpace]16 \[InvisibleSpace]", CNY+1 to LC: "\[InvisibleSpace]45\), SequenceForm[ 1985, ": CNY-1 to LC: ", 14, ", CNY to LC: ", 16, ", CNY+1 to LC: ", 45], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?timeToLiChuen\)\)], "Input"], Cell[BoxData[ \("timeToLiChuen[gYear] gives the time between lichuen (the first minor \ solar term) and Chinese New Year of the given Gregorian and the new moons \ before and after New Year."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(timeToLiChuen[1985]\)], "Input"], Cell[BoxData[ InterpretationBox[ \(1985\[InvisibleSpace]": CNY-1 to LC: \ "\[InvisibleSpace]13.7803112380206593` \[InvisibleSpace]", CNY to LC: "\[InvisibleSpace]15.896331419702621` \[InvisibleSpace]", CNY+1 to LC: \ "\[InvisibleSpace]45.6157590867951512`\), SequenceForm[ 1985, ": CNY-1 to LC: ", 13.780311238020658, ", CNY to LC: ", 15.896331419702619, ", CNY+1 to LC: ", 45.615759086795151], Editable->False]], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapYearsBetween\)\)], "Input"], Cell[BoxData[ \("chineseLeapYearsBetween[gYear1, gYear2] lists all the the years \ between the two given Gregorian years that are Chinese leap years."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapYearsBetween[1990, 1993]\)], "Input"], Cell[BoxData[ \(1990\)], "Print"], Cell[BoxData[ \(1993\)], "Print"], Cell[BoxData[ \(2\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseLeapMonthsBetween\)\)], "Input"], Cell[BoxData[ \("chineseLeapMonthsBetween[gYear1, gYear2] lists the year and the month \ number for the months that have a leap month between the two Gregorian years, \ and the total number of repeats for each month."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(chineseLeapMonthsBetween[1990, \ 1993]\)], "Input"], Cell[BoxData[ InterpretationBox[\(1990\[InvisibleSpace]":"\[InvisibleSpace]5\), SequenceForm[ 1990, ":", 5], Editable->False]], "Print"], Cell[BoxData[ InterpretationBox[\(1993\[InvisibleSpace]":"\[InvisibleSpace]3\), SequenceForm[ 1993, ":", 3], Editable->False]], "Print"], Cell[BoxData[ \({0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?nthChineseLeapMonthsBetween\)\)], "Input"], Cell[BoxData[ \("nthChineseLeapMonthsBetween[gYear1, gYear2, n] counts the number of \ time the nth month is repeated between the two Gregorian years."\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(nthChineseLeapMonthsBetween[1990, \ 1998, 5]\)], "Input"], Cell[BoxData[ \(nthChineseLeapMonthsBetween[1990, 1998, 5]\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(nthChineseLeapMonthsBetween[2030, \ 2034, 7]\)], "Input"], Cell[BoxData[ \(0\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(nthChineseLeapMonthsBetween[2030, \ 2034, 11]\)], "Input"], Cell[BoxData[ \(2033\)], "Print"], Cell[BoxData[ \(1\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(?chineseNewYearsBetween\)\)], "Input"], Cell[BoxData[ \("chineseNewYearsBetween[gYear1, gYear2] displays the dates of Chinese \ New Year between the years gYear1 and gYear2 and gives a list and a table \ showing the number of times Chinese New Year falls on the days between \ January 20 and February 21 between the two Gregorian years."\)], "Print"] }, Open ]], Cell[CellGroupData[{ 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