diff options
Diffstat (limited to 'src/hyper/pages/numbers.pht')
| -rw-r--r-- | src/hyper/pages/numbers.pht | 607 |
1 files changed, 607 insertions, 0 deletions
diff --git a/src/hyper/pages/numbers.pht b/src/hyper/pages/numbers.pht new file mode 100644 index 00000000..52f963f8 --- /dev/null +++ b/src/hyper/pages/numbers.pht @@ -0,0 +1,607 @@ +\begin{patch}{IntegerPagePatch1} +\begin{paste}{IntegerPageFull1}{IntegerPageEmpty1} +\pastebutton{IntegerPageFull1}{\hidepaste} +\tab{5}\spadcommand{x := factorial(200)\bound{x }} +\indentrel{3}\begin{verbatim} + (1) + 788657867364790503552363213932185062295135977687173263_ + 29474253324435944996340334292030428401198462390417721_ + 21389196388302576427902426371050619266249528299311134_ + 62857270763317237396988943922445621451664240254033291_ + 86413122742829485327752424240757390324032125740557956_ + 86602260319041703240623517008587961789222227896237038_ + 97374720000000000000000000000000000000000000000000000_ + 000 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty1} +\begin{paste}{IntegerPageEmpty1}{IntegerPagePatch1} +\pastebutton{IntegerPageEmpty1}{\showpaste} +\tab{5}\spadcommand{x := factorial(200)\bound{x }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch2} +\begin{paste}{IntegerPageFull2}{IntegerPageEmpty2} +\pastebutton{IntegerPageFull2}{\hidepaste} +\tab{5}\spadcommand{y := 2**90 - 1\bound{y }} +\indentrel{3}\begin{verbatim} + (2) 1237940039285380274899124223 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty2} +\begin{paste}{IntegerPageEmpty2}{IntegerPagePatch2} +\pastebutton{IntegerPageEmpty2}{\showpaste} +\tab{5}\spadcommand{y := 2**90 - 1\bound{y }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch3} +\begin{paste}{IntegerPageFull3}{IntegerPageEmpty3} +\pastebutton{IntegerPageFull3}{\hidepaste} +\tab{5}\spadcommand{x + y\free{x y }} +\indentrel{3}\begin{verbatim} + (3) + 788657867364790503552363213932185062295135977687173263_ + 29474253324435944996340334292030428401198462390417721_ + 21389196388302576427902426371050619266249528299311134_ + 62857270763317237396988943922445621451664240254033291_ + 86413122742829485327752424240757390324032125740557956_ + 86602260319041703240623517008587961789222227896237038_ + 97374720000000000000000000001237940039285380274899124_ + 223 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty3} +\begin{paste}{IntegerPageEmpty3}{IntegerPagePatch3} +\pastebutton{IntegerPageEmpty3}{\showpaste} +\tab{5}\spadcommand{x + y\free{x y }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch4} +\begin{paste}{IntegerPageFull4}{IntegerPageEmpty4} +\pastebutton{IntegerPageFull4}{\hidepaste} +\tab{5}\spadcommand{x - y\free{x y }} +\indentrel{3}\begin{verbatim} + (4) + 788657867364790503552363213932185062295135977687173263_ + 29474253324435944996340334292030428401198462390417721_ + 21389196388302576427902426371050619266249528299311134_ + 62857270763317237396988943922445621451664240254033291_ + 86413122742829485327752424240757390324032125740557956_ + 86602260319041703240623517008587961789222227896237038_ + 97374719999999999999999999998762059960714619725100875_ + 777 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty4} +\begin{paste}{IntegerPageEmpty4}{IntegerPagePatch4} +\pastebutton{IntegerPageEmpty4}{\showpaste} +\tab{5}\spadcommand{x - y\free{x y }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch5} +\begin{paste}{IntegerPageFull5}{IntegerPageEmpty5} +\pastebutton{IntegerPageFull5}{\hidepaste} +\tab{5}\spadcommand{x * y\free{x y }} +\indentrel{3}\begin{verbatim} + (5) + 976311151308292982184363119660950225776642966765414042_ + 37079496488133389834070329188092355479782812765687260_ + 17975734913119466356078732929100728088106228471338396_ + 75509315106953260921744797014165125163884859138819053_ + 52475858689630194698878995048210905618067437176553811_ + 33973032509524956986554360537566475497856969235918273_ + 09521182392695050703382396859842560000000000000000000_ + 000000000000000000000000000000 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty5} +\begin{paste}{IntegerPageEmpty5}{IntegerPagePatch5} +\pastebutton{IntegerPageEmpty5}{\showpaste} +\tab{5}\spadcommand{x * y\free{x y }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch6} +\begin{paste}{IntegerPageFull6}{IntegerPageEmpty6} +\pastebutton{IntegerPageFull6}{\hidepaste} +\tab{5}\spadcommand{factor(x)\free{x }} +\indentrel{3}\begin{verbatim} + (6) + 197 97 49 32 19 16 11 10 8 6 6 5 4 4 4 3 + 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 + * + 3 3 2 2 2 2 2 2 2 + 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 + * + 131 137 139 149 151 157 163 167 173 179 181 191 193 + * + 197 199 + Type: Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty6} +\begin{paste}{IntegerPageEmpty6}{IntegerPagePatch6} +\pastebutton{IntegerPageEmpty6}{\showpaste} +\tab{5}\spadcommand{factor(x)\free{x }} +\end{paste}\end{patch} + +\begin{patch}{IntegerPagePatch7} +\begin{paste}{IntegerPageFull7}{IntegerPageEmpty7} +\pastebutton{IntegerPageFull7}{\hidepaste} +\tab{5}\spadcommand{factor(y)\free{y }} +\indentrel{3}\begin{verbatim} + 3 + (7) 3 7 11 19 31 73 151 331 631 23311 18837001 + Type: Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerPageEmpty7} +\begin{paste}{IntegerPageEmpty7}{IntegerPagePatch7} +\pastebutton{IntegerPageEmpty7}{\showpaste} +\tab{5}\spadcommand{factor(y)\free{y }} +\end{paste}\end{patch} + +\begin{patch}{FractionPagePatch1} +\begin{paste}{FractionPageFull1}{FractionPageEmpty1} +\pastebutton{FractionPageFull1}{\hidepaste} +\tab{5}\spadcommand{1/4 - 1/5} +\indentrel{3}\begin{verbatim} + 1 + (1) 컴 + 20 + Type: Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{FractionPageEmpty1} +\begin{paste}{FractionPageEmpty1}{FractionPagePatch1} +\pastebutton{FractionPageEmpty1}{\showpaste} +\tab{5}\spadcommand{1/4 - 1/5} +\end{paste}\end{patch} + +\begin{patch}{FractionPagePatch2} +\begin{paste}{FractionPageFull2}{FractionPageEmpty2} +\pastebutton{FractionPageFull2}{\hidepaste} +\tab{5}\spadcommand{f := (x**2 + 1)/(x - 1)\bound{f }} +\indentrel{3}\begin{verbatim} + 2 + x + 1 + (2) 컴컴컴 + x - 1 + Type: Fraction Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{FractionPageEmpty2} +\begin{paste}{FractionPageEmpty2}{FractionPagePatch2} +\pastebutton{FractionPageEmpty2}{\showpaste} +\tab{5}\spadcommand{f := (x**2 + 1)/(x - 1)\bound{f }} +\end{paste}\end{patch} + +\begin{patch}{FractionPagePatch3} +\begin{paste}{FractionPageFull3}{FractionPageEmpty3} +\pastebutton{FractionPageFull3}{\hidepaste} +\tab{5}\spadcommand{g := (x**2 - 3*x + 2)/(x + 2)\bound{g }} +\indentrel{3}\begin{verbatim} + 2 + x - 3x + 2 + (3) 컴컴컴컴컴� + x + 2 + Type: Fraction Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{FractionPageEmpty3} +\begin{paste}{FractionPageEmpty3}{FractionPagePatch3} +\pastebutton{FractionPageEmpty3}{\showpaste} +\tab{5}\spadcommand{g := (x**2 - 3*x + 2)/(x + 2)\bound{g }} +\end{paste}\end{patch} + +\begin{patch}{FractionPagePatch4} +\begin{paste}{FractionPageFull4}{FractionPageEmpty4} +\pastebutton{FractionPageFull4}{\hidepaste} +\tab{5}\spadcommand{f * g\free{f g }} +\indentrel{3}\begin{verbatim} + 3 2 + x - 2x + x - 2 + (4) 컴컴컴컴컴컴컴컴 + x + 2 + Type: Fraction Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{FractionPageEmpty4} +\begin{paste}{FractionPageEmpty4}{FractionPagePatch4} +\pastebutton{FractionPageEmpty4}{\showpaste} +\tab{5}\spadcommand{f * g\free{f g }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch1} +\begin{paste}{IntegerProblemAnswerPage1Full1}{IntegerProblemAnswerPage1Empty1} +\pastebutton{IntegerProblemAnswerPage1Full1}{\hidepaste} +\tab{5}\spadcommand{f: NNI -> INT\bound{f1 }} +\indentrel{3}\begin{verbatim} + Type: Void +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty1} +\begin{paste}{IntegerProblemAnswerPage1Empty1}{IntegerProblemAnswerPage1Patch1} +\pastebutton{IntegerProblemAnswerPage1Empty1}{\showpaste} +\tab{5}\spadcommand{f: NNI -> INT\bound{f1 }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch2} +\begin{paste}{IntegerProblemAnswerPage1Full2}{IntegerProblemAnswerPage1Empty2} +\pastebutton{IntegerProblemAnswerPage1Full2}{\hidepaste} +\tab{5}\spadcommand{f(n) == 2**n - 1\bound{f }\free{f1 }} +\indentrel{3}\begin{verbatim} + Type: Void +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty2} +\begin{paste}{IntegerProblemAnswerPage1Empty2}{IntegerProblemAnswerPage1Patch2} +\pastebutton{IntegerProblemAnswerPage1Empty2}{\showpaste} +\tab{5}\spadcommand{f(n) == 2**n - 1\bound{f }\free{f1 }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch3} +\begin{paste}{IntegerProblemAnswerPage1Full3}{IntegerProblemAnswerPage1Empty3} +\pastebutton{IntegerProblemAnswerPage1Full3}{\hidepaste} +\tab{5}\spadcommand{factor f(7)\free{f }} +\indentrel{3}\begin{verbatim} + (3) 127 + Type: Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty3} +\begin{paste}{IntegerProblemAnswerPage1Empty3}{IntegerProblemAnswerPage1Patch3} +\pastebutton{IntegerProblemAnswerPage1Empty3}{\showpaste} +\tab{5}\spadcommand{factor f(7)\free{f }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch4} +\begin{paste}{IntegerProblemAnswerPage1Full4}{IntegerProblemAnswerPage1Empty4} +\pastebutton{IntegerProblemAnswerPage1Full4}{\hidepaste} +\tab{5}\spadcommand{ints := [n for n in 1..]\bound{ints }} +\indentrel{3}\begin{verbatim} + (4) [1,2,3,4,5,6,7,8,9,10,...] + Type: Stream PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty4} +\begin{paste}{IntegerProblemAnswerPage1Empty4}{IntegerProblemAnswerPage1Patch4} +\pastebutton{IntegerProblemAnswerPage1Empty4}{\showpaste} +\tab{5}\spadcommand{ints := [n for n in 1..]\bound{ints }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch5} +\begin{paste}{IntegerProblemAnswerPage1Full5}{IntegerProblemAnswerPage1Empty5} +\pastebutton{IntegerProblemAnswerPage1Full5}{\hidepaste} +\tab{5}\spadcommand{primes := [x for x in ints | prime? x]\bound{primes }\free{ints }} +\indentrel{3}\begin{verbatim} + (5) [2,3,5,7,11,13,17,19,23,29,...] + Type: Stream PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty5} +\begin{paste}{IntegerProblemAnswerPage1Empty5}{IntegerProblemAnswerPage1Patch5} +\pastebutton{IntegerProblemAnswerPage1Empty5}{\showpaste} +\tab{5}\spadcommand{primes := [x for x in ints | prime? x]\bound{primes }\free{ints }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch6} +\begin{paste}{IntegerProblemAnswerPage1Full6}{IntegerProblemAnswerPage1Empty6} +\pastebutton{IntegerProblemAnswerPage1Full6}{\hidepaste} +\tab{5}\spadcommand{primes.25\free{primes }} +\indentrel{3}\begin{verbatim} + (6) 97 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty6} +\begin{paste}{IntegerProblemAnswerPage1Empty6}{IntegerProblemAnswerPage1Patch6} +\pastebutton{IntegerProblemAnswerPage1Empty6}{\showpaste} +\tab{5}\spadcommand{primes.25\free{primes }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch7} +\begin{paste}{IntegerProblemAnswerPage1Full7}{IntegerProblemAnswerPage1Empty7} +\pastebutton{IntegerProblemAnswerPage1Full7}{\hidepaste} +\tab{5}\spadcommand{numbers := [f(n) for n in primes]\bound{numbers }\free{primes f }} +\indentrel{3}\begin{verbatim} + (7) + [3, 7, 31, 127, 2047, 8191, 131071, 524287, 8388607, + 536870911, ...] + Type: Stream Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty7} +\begin{paste}{IntegerProblemAnswerPage1Empty7}{IntegerProblemAnswerPage1Patch7} +\pastebutton{IntegerProblemAnswerPage1Empty7}{\showpaste} +\tab{5}\spadcommand{numbers := [f(n) for n in primes]\bound{numbers }\free{primes f }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch8} +\begin{paste}{IntegerProblemAnswerPage1Full8}{IntegerProblemAnswerPage1Empty8} +\pastebutton{IntegerProblemAnswerPage1Full8}{\hidepaste} +\tab{5}\spadcommand{factors := [factor n for n in numbers]\bound{factors }\free{numbers }} +\indentrel{3}\begin{verbatim} + (8) + [3, 7, 31, 127, 23 89, 8191, 131071, 524287, + 47 178481, 233 1103 2089, ...] + Type: Stream Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty8} +\begin{paste}{IntegerProblemAnswerPage1Empty8}{IntegerProblemAnswerPage1Patch8} +\pastebutton{IntegerProblemAnswerPage1Empty8}{\showpaste} +\tab{5}\spadcommand{factors := [factor n for n in numbers]\bound{factors }\free{numbers }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Patch9} +\begin{paste}{IntegerProblemAnswerPage1Full9}{IntegerProblemAnswerPage1Empty9} +\pastebutton{IntegerProblemAnswerPage1Full9}{\hidepaste} +\tab{5}\spadcommand{nums := [x for x in numbers | not prime? x]\bound{nums }\free{numbers }} +\indentrel{3}\begin{verbatim} + (9) + [2047, 8388607, 536870911, 137438953471, + 2199023255551, 8796093022207, 140737488355327, + 9007199254740991, 576460752303423487, + 147573952589676412927, ...] + Type: Stream Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage1Empty9} +\begin{paste}{IntegerProblemAnswerPage1Empty9}{IntegerProblemAnswerPage1Patch9} +\pastebutton{IntegerProblemAnswerPage1Empty9}{\showpaste} +\tab{5}\spadcommand{nums := [x for x in numbers | not prime? x]\bound{nums }\free{numbers }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage2Patch1} +\begin{paste}{IntegerProblemAnswerPage2Full1}{IntegerProblemAnswerPage2Empty1} +\pastebutton{IntegerProblemAnswerPage2Full1}{\hidepaste} +\tab{5}\spadcommand{numbers := [n**2 - n + 41 for n in 0..40]\bound{numbers }} +\indentrel{3}\begin{verbatim} + (1) + [41, 41, 43, 47, 53, 61, 71, 83, 97, 113, 131, 151, + 173, 197, 223, 251, 281, 313, 347, 383, 421, 461, + 503, 547, 593, 641, 691, 743, 797, 853, 911, 971, + 1033, 1097, 1163, 1231, 1301, 1373, 1447, 1523, 1601] + Type: List Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage2Empty1} +\begin{paste}{IntegerProblemAnswerPage2Empty1}{IntegerProblemAnswerPage2Patch1} +\pastebutton{IntegerProblemAnswerPage2Empty1}{\showpaste} +\tab{5}\spadcommand{numbers := [n**2 - n + 41 for n in 0..40]\bound{numbers }} +\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage2Patch2} +\begin{paste}{IntegerProblemAnswerPage2Full2}{IntegerProblemAnswerPage2Empty2} +\pastebutton{IntegerProblemAnswerPage2Full2}{\hidepaste} +\tab{5}\spadcommand{[factor n for n in numbers]\free{numbers }} +\indentrel{3}\begin{verbatim} + (2) + [41, 41, 43, 47, 53, 61, 71, 83, 97, 113, 131, 151, + 173, 197, 223, 251, 281, 313, 347, 383, 421, 461, + 503, 547, 593, 641, 691, 743, 797, 853, 911, 971, + 1033, 1097, 1163, 1231, 1301, 1373, 1447, 1523, 1601] + Type: List Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerProblemAnswerPage2Empty2} +\begin{paste}{IntegerProblemAnswerPage2Empty2}{IntegerProblemAnswerPage2Patch2} +\pastebutton{IntegerProblemAnswerPage2Empty2}{\showpaste} +\tab{5}\spadcommand{[factor n for n in numbers]\free{numbers }} +\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePagePatch1} +\begin{paste}{IntegerExamplePageFull1}{IntegerExamplePageEmpty1} +\pastebutton{IntegerExamplePageFull1}{\hidepaste} +\tab{5}\spadcommand{f: NNI -> INT\bound{f1 }} +\indentrel{3}\begin{verbatim} + Type: Void +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePageEmpty1} +\begin{paste}{IntegerExamplePageEmpty1}{IntegerExamplePagePatch1} +\pastebutton{IntegerExamplePageEmpty1}{\showpaste} +\tab{5}\spadcommand{f: NNI -> INT\bound{f1 }} +\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePagePatch2} +\begin{paste}{IntegerExamplePageFull2}{IntegerExamplePageEmpty2} +\pastebutton{IntegerExamplePageFull2}{\hidepaste} +\tab{5}\spadcommand{f(n) == 2**(2**n) + 1\bound{f }\free{f1 }} +\indentrel{3}\begin{verbatim} + Type: Void +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePageEmpty2} +\begin{paste}{IntegerExamplePageEmpty2}{IntegerExamplePagePatch2} +\pastebutton{IntegerExamplePageEmpty2}{\showpaste} +\tab{5}\spadcommand{f(n) == 2**(2**n) + 1\bound{f }\free{f1 }} +\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePagePatch3} +\begin{paste}{IntegerExamplePageFull3}{IntegerExamplePageEmpty3} +\pastebutton{IntegerExamplePageFull3}{\hidepaste} +\tab{5}\spadcommand{factor f(1)\free{f }} +\indentrel{3}\begin{verbatim} + (3) 5 + Type: Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePageEmpty3} +\begin{paste}{IntegerExamplePageEmpty3}{IntegerExamplePagePatch3} +\pastebutton{IntegerExamplePageEmpty3}{\showpaste} +\tab{5}\spadcommand{factor f(1)\free{f }} +\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePagePatch4} +\begin{paste}{IntegerExamplePageFull4}{IntegerExamplePageEmpty4} +\pastebutton{IntegerExamplePageFull4}{\hidepaste} +\tab{5}\spadcommand{factor f(2)\free{f }} +\indentrel{3}\begin{verbatim} + (4) 17 + Type: Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePageEmpty4} +\begin{paste}{IntegerExamplePageEmpty4}{IntegerExamplePagePatch4} +\pastebutton{IntegerExamplePageEmpty4}{\showpaste} +\tab{5}\spadcommand{factor f(2)\free{f }} +\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePagePatch5} +\begin{paste}{IntegerExamplePageFull5}{IntegerExamplePageEmpty5} +\pastebutton{IntegerExamplePageFull5}{\hidepaste} +\tab{5}\spadcommand{for n in 1..6 repeat output factor f(n)\free{f }} +\indentrel{3}\begin{verbatim} + 5 + 17 + 257 + 65537 + 641 6700417 + 274177 67280421310721 + Type: Void +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{IntegerExamplePageEmpty5} +\begin{paste}{IntegerExamplePageEmpty5}{IntegerExamplePagePatch5} +\pastebutton{IntegerExamplePageEmpty5}{\showpaste} +\tab{5}\spadcommand{for n in 1..6 repeat output factor f(n)\free{f }} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch1} +\begin{paste}{RationalNumberPageFull1}{RationalNumberPageEmpty1} +\pastebutton{RationalNumberPageFull1}{\hidepaste} +\tab{5}\spadcommand{61657 ** 10 / 999983 ** 12} +\indentrel{3}\begin{verbatim} + (1) + 794006207119672937688869745365148806136551203249 + / + 9997960190729191813417704955587887712239578440952258_ + 46167460930641229761 + Type: Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty1} +\begin{paste}{RationalNumberPageEmpty1}{RationalNumberPagePatch1} +\pastebutton{RationalNumberPageEmpty1}{\showpaste} +\tab{5}\spadcommand{61657 ** 10 / 999983 ** 12} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch2} +\begin{paste}{RationalNumberPageFull2}{RationalNumberPageEmpty2} +\pastebutton{RationalNumberPageFull2}{\hidepaste} +\tab{5}\spadcommand{x := 104348/33215\bound{x }} +\indentrel{3}\begin{verbatim} + 104348 + (2) 컴컴컴 + 33215 + Type: Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty2} +\begin{paste}{RationalNumberPageEmpty2}{RationalNumberPagePatch2} +\pastebutton{RationalNumberPageEmpty2}{\showpaste} +\tab{5}\spadcommand{x := 104348/33215\bound{x }} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch3} +\begin{paste}{RationalNumberPageFull3}{RationalNumberPageEmpty3} +\pastebutton{RationalNumberPageFull3}{\hidepaste} +\tab{5}\spadcommand{numeric x\free{x }} +\indentrel{3}\begin{verbatim} + (3) 3.1415926539 214210447 + Type: Float +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty3} +\begin{paste}{RationalNumberPageEmpty3}{RationalNumberPagePatch3} +\pastebutton{RationalNumberPageEmpty3}{\showpaste} +\tab{5}\spadcommand{numeric x\free{x }} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch4} +\begin{paste}{RationalNumberPageFull4}{RationalNumberPageEmpty4} +\pastebutton{RationalNumberPageFull4}{\hidepaste} +\tab{5}\spadcommand{numer(x)\free{x }} +\indentrel{3}\begin{verbatim} + (4) 104348 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty4} +\begin{paste}{RationalNumberPageEmpty4}{RationalNumberPagePatch4} +\pastebutton{RationalNumberPageEmpty4}{\showpaste} +\tab{5}\spadcommand{numer(x)\free{x }} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch5} +\begin{paste}{RationalNumberPageFull5}{RationalNumberPageEmpty5} +\pastebutton{RationalNumberPageFull5}{\hidepaste} +\tab{5}\spadcommand{denom(x)\free{x }} +\indentrel{3}\begin{verbatim} + (5) 33215 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty5} +\begin{paste}{RationalNumberPageEmpty5}{RationalNumberPagePatch5} +\pastebutton{RationalNumberPageEmpty5}{\showpaste} +\tab{5}\spadcommand{denom(x)\free{x }} +\end{paste}\end{patch} + +\begin{patch}{RationalNumberPagePatch6} +\begin{paste}{RationalNumberPageFull6}{RationalNumberPageEmpty6} +\pastebutton{RationalNumberPageFull6}{\hidepaste} +\tab{5}\spadcommand{factor(numer x) / factor(denom x)\free{x }} +\indentrel{3}\begin{verbatim} + 2 + 2 19 1373 + (6) 컴컴컴컴� + 5 7 13 73 + Type: Fraction Factored Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{RationalNumberPageEmpty6} +\begin{paste}{RationalNumberPageEmpty6}{RationalNumberPagePatch6} +\pastebutton{RationalNumberPageEmpty6}{\showpaste} +\tab{5}\spadcommand{factor(numer x) / factor(denom x)\free{x }} +\end{paste}\end{patch} + |