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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/hyper/pages/COMPLEX.pht
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
Diffstat (limited to 'src/hyper/pages/COMPLEX.pht')
-rw-r--r--src/hyper/pages/COMPLEX.pht277
1 files changed, 277 insertions, 0 deletions
diff --git a/src/hyper/pages/COMPLEX.pht b/src/hyper/pages/COMPLEX.pht
new file mode 100644
index 00000000..e7c69742
--- /dev/null
+++ b/src/hyper/pages/COMPLEX.pht
@@ -0,0 +1,277 @@
+\begin{patch}{ComplexXmpPagePatch1}
+\begin{paste}{ComplexXmpPageFull1}{ComplexXmpPageEmpty1}
+\pastebutton{ComplexXmpPageFull1}{\hidepaste}
+\tab{5}\spadcommand{a := complex(4/3,5/2)\bound{a }}
+\indentrel{3}\begin{verbatim}
+ 4 5
+ (1) Ä + Ä %i
+ 3 2
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty1}
+\begin{paste}{ComplexXmpPageEmpty1}{ComplexXmpPagePatch1}
+\pastebutton{ComplexXmpPageEmpty1}{\showpaste}
+\tab{5}\spadcommand{a := complex(4/3,5/2)\bound{a }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch2}
+\begin{paste}{ComplexXmpPageFull2}{ComplexXmpPageEmpty2}
+\pastebutton{ComplexXmpPageFull2}{\hidepaste}
+\tab{5}\spadcommand{b := complex(4/3,-5/2)\bound{b }}
+\indentrel{3}\begin{verbatim}
+ 4 5
+ (2) Ä - Ä %i
+ 3 2
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty2}
+\begin{paste}{ComplexXmpPageEmpty2}{ComplexXmpPagePatch2}
+\pastebutton{ComplexXmpPageEmpty2}{\showpaste}
+\tab{5}\spadcommand{b := complex(4/3,-5/2)\bound{b }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch3}
+\begin{paste}{ComplexXmpPageFull3}{ComplexXmpPageEmpty3}
+\pastebutton{ComplexXmpPageFull3}{\hidepaste}
+\tab{5}\spadcommand{a + b\free{a b }}
+\indentrel{3}\begin{verbatim}
+ 8
+ (3) Ä
+ 3
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty3}
+\begin{paste}{ComplexXmpPageEmpty3}{ComplexXmpPagePatch3}
+\pastebutton{ComplexXmpPageEmpty3}{\showpaste}
+\tab{5}\spadcommand{a + b\free{a b }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch4}
+\begin{paste}{ComplexXmpPageFull4}{ComplexXmpPageEmpty4}
+\pastebutton{ComplexXmpPageFull4}{\hidepaste}
+\tab{5}\spadcommand{a - b\free{a b }}
+\indentrel{3}\begin{verbatim}
+ (4) 5%i
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty4}
+\begin{paste}{ComplexXmpPageEmpty4}{ComplexXmpPagePatch4}
+\pastebutton{ComplexXmpPageEmpty4}{\showpaste}
+\tab{5}\spadcommand{a - b\free{a b }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch5}
+\begin{paste}{ComplexXmpPageFull5}{ComplexXmpPageEmpty5}
+\pastebutton{ComplexXmpPageFull5}{\hidepaste}
+\tab{5}\spadcommand{a * b\free{a b }}
+\indentrel{3}\begin{verbatim}
+ 289
+ (5) ÄÄÄ
+ 36
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty5}
+\begin{paste}{ComplexXmpPageEmpty5}{ComplexXmpPagePatch5}
+\pastebutton{ComplexXmpPageEmpty5}{\showpaste}
+\tab{5}\spadcommand{a * b\free{a b }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch6}
+\begin{paste}{ComplexXmpPageFull6}{ComplexXmpPageEmpty6}
+\pastebutton{ComplexXmpPageFull6}{\hidepaste}
+\tab{5}\spadcommand{a / b\free{a b }\bound{adb }}
+\indentrel{3}\begin{verbatim}
+ 161 240
+ (6) - ÄÄÄ + ÄÄÄ %i
+ 289 289
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty6}
+\begin{paste}{ComplexXmpPageEmpty6}{ComplexXmpPagePatch6}
+\pastebutton{ComplexXmpPageEmpty6}{\showpaste}
+\tab{5}\spadcommand{a / b\free{a b }\bound{adb }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch7}
+\begin{paste}{ComplexXmpPageFull7}{ComplexXmpPageEmpty7}
+\pastebutton{ComplexXmpPageFull7}{\hidepaste}
+\tab{5}\spadcommand{\% :: Fraction Complex Integer\free{adb }}
+\indentrel{3}\begin{verbatim}
+ - 15 + 8%i
+ (7) ÄÄÄÄÄÄÄÄÄÄ
+ 15 + 8%i
+ Type: Fraction Complex Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty7}
+\begin{paste}{ComplexXmpPageEmpty7}{ComplexXmpPagePatch7}
+\pastebutton{ComplexXmpPageEmpty7}{\showpaste}
+\tab{5}\spadcommand{\% :: Fraction Complex Integer\free{adb }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch8}
+\begin{paste}{ComplexXmpPageFull8}{ComplexXmpPageEmpty8}
+\pastebutton{ComplexXmpPageFull8}{\hidepaste}
+\tab{5}\spadcommand{3.4 + 6.7 * \%i}
+\indentrel{3}\begin{verbatim}
+ (8) 3.4 + 6.7 %i
+ Type: Complex Float
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty8}
+\begin{paste}{ComplexXmpPageEmpty8}{ComplexXmpPagePatch8}
+\pastebutton{ComplexXmpPageEmpty8}{\showpaste}
+\tab{5}\spadcommand{3.4 + 6.7 * \%i}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch9}
+\begin{paste}{ComplexXmpPageFull9}{ComplexXmpPageEmpty9}
+\pastebutton{ComplexXmpPageFull9}{\hidepaste}
+\tab{5}\spadcommand{conjugate a\free{a }}
+\indentrel{3}\begin{verbatim}
+ 4 5
+ (9) Ä - Ä %i
+ 3 2
+ Type: Complex Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty9}
+\begin{paste}{ComplexXmpPageEmpty9}{ComplexXmpPagePatch9}
+\pastebutton{ComplexXmpPageEmpty9}{\showpaste}
+\tab{5}\spadcommand{conjugate a\free{a }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch10}
+\begin{paste}{ComplexXmpPageFull10}{ComplexXmpPageEmpty10}
+\pastebutton{ComplexXmpPageFull10}{\hidepaste}
+\tab{5}\spadcommand{norm a\free{a }}
+\indentrel{3}\begin{verbatim}
+ 289
+ (10) ÄÄÄ
+ 36
+ Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty10}
+\begin{paste}{ComplexXmpPageEmpty10}{ComplexXmpPagePatch10}
+\pastebutton{ComplexXmpPageEmpty10}{\showpaste}
+\tab{5}\spadcommand{norm a\free{a }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch11}
+\begin{paste}{ComplexXmpPageFull11}{ComplexXmpPageEmpty11}
+\pastebutton{ComplexXmpPageFull11}{\hidepaste}
+\tab{5}\spadcommand{real a\free{a }}
+\indentrel{3}\begin{verbatim}
+ 4
+ (11) Ä
+ 3
+ Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty11}
+\begin{paste}{ComplexXmpPageEmpty11}{ComplexXmpPagePatch11}
+\pastebutton{ComplexXmpPageEmpty11}{\showpaste}
+\tab{5}\spadcommand{real a\free{a }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch12}
+\begin{paste}{ComplexXmpPageFull12}{ComplexXmpPageEmpty12}
+\pastebutton{ComplexXmpPageFull12}{\hidepaste}
+\tab{5}\spadcommand{imag a\free{a }}
+\indentrel{3}\begin{verbatim}
+ 5
+ (12) Ä
+ 2
+ Type: Fraction Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty12}
+\begin{paste}{ComplexXmpPageEmpty12}{ComplexXmpPagePatch12}
+\pastebutton{ComplexXmpPageEmpty12}{\showpaste}
+\tab{5}\spadcommand{imag a\free{a }}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch13}
+\begin{paste}{ComplexXmpPageFull13}{ComplexXmpPageEmpty13}
+\pastebutton{ComplexXmpPageFull13}{\hidepaste}
+\tab{5}\spadcommand{gcd(13 - 13*\%i,31 + 27*\%i)}
+\indentrel{3}\begin{verbatim}
+ (13) 5 + %i
+ Type: Complex Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty13}
+\begin{paste}{ComplexXmpPageEmpty13}{ComplexXmpPagePatch13}
+\pastebutton{ComplexXmpPageEmpty13}{\showpaste}
+\tab{5}\spadcommand{gcd(13 - 13*\%i,31 + 27*\%i)}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch14}
+\begin{paste}{ComplexXmpPageFull14}{ComplexXmpPageEmpty14}
+\pastebutton{ComplexXmpPageFull14}{\hidepaste}
+\tab{5}\spadcommand{lcm(13 - 13*\%i,31 + 27*\%i)}
+\indentrel{3}\begin{verbatim}
+ (14) 143 - 39%i
+ Type: Complex Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty14}
+\begin{paste}{ComplexXmpPageEmpty14}{ComplexXmpPagePatch14}
+\pastebutton{ComplexXmpPageEmpty14}{\showpaste}
+\tab{5}\spadcommand{lcm(13 - 13*\%i,31 + 27*\%i)}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch15}
+\begin{paste}{ComplexXmpPageFull15}{ComplexXmpPageEmpty15}
+\pastebutton{ComplexXmpPageFull15}{\hidepaste}
+\tab{5}\spadcommand{factor(13 - 13*\%i)}
+\indentrel{3}\begin{verbatim}
+ (15) - (1 + %i)(2 + 3%i)(3 + 2%i)
+ Type: Factored Complex Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty15}
+\begin{paste}{ComplexXmpPageEmpty15}{ComplexXmpPagePatch15}
+\pastebutton{ComplexXmpPageEmpty15}{\showpaste}
+\tab{5}\spadcommand{factor(13 - 13*\%i)}
+\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPagePatch16}
+\begin{paste}{ComplexXmpPageFull16}{ComplexXmpPageEmpty16}
+\pastebutton{ComplexXmpPageFull16}{\hidepaste}
+\tab{5}\spadcommand{factor complex(2,0)}
+\indentrel{3}\begin{verbatim}
+ 2
+ (16) - %i (1 + %i)
+ Type: Factored Complex Integer
+\end{verbatim}
+\indentrel{-3}\end{paste}\end{patch}
+
+\begin{patch}{ComplexXmpPageEmpty16}
+\begin{paste}{ComplexXmpPageEmpty16}{ComplexXmpPagePatch16}
+\pastebutton{ComplexXmpPageEmpty16}{\showpaste}
+\tab{5}\spadcommand{factor complex(2,0)}
+\end{paste}\end{patch}
+