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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp2
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0305
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1305
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10383
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105332
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.11370
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.13297
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.14185
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.15671
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.16614
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.17283
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.18611
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.19226
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.2270
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.20521
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.21225
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.22140
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.23168
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.24171
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.25272
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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.31199
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.32247
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.33280
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.34209
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.35593
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.36259
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.37220
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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.4193
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.40191
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.41298
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.42132
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43468
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.44381
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.45671
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.46606
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.47664
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.48651
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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5111
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.50147
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6305
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7287
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.8370
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9659
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp62
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html356
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.pdfbin367213 -> 373831 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.tex113
54 files changed, 7573 insertions, 9126 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp b/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp
index 0f84f2a3c09..865cdbb34be 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp
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@@ -19,4 +19,4 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
endTableau;
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
index 757af64da23..559dd1f58ce 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -2,7 +2,10 @@ input tableauVariation;
verbatimtex
%&latex
\documentclass{article}
-\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien !
+%\usepackage[upright]{fourier}% ou mathpazo, lmodern, etc. ou rien !
+\usepackage[boldsans]{ccfonts}
+\usepackage{beton,euler}
+\usepackage{luximono}
\usepackage{amsmath}
\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas
\renewcommand\cdot{ } % idem pour les cdot
@@ -117,7 +120,7 @@ val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDef;finNonDef;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @varphi}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
@@ -129,23 +132,23 @@ val(btex $4$ etex);
val(btex $6$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
-
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins;
+beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $\alpha_3$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
- etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
+ etex,1);valPos(btex
+ $ 10 $ etex,0.5);
+ limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
$ 10 $ etex,0.5);
valPos(btex $1$ etex,0);
endTableau;
beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $+\infty $ etex);
-
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex
$ -1 $ etex,0.5);
@@ -410,8 +413,9 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
endTableau;
- beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+
+beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$
etex,0);valPos(btex
@@ -419,7 +423,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo
endTableau;
beginTableau(26) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
etex,0);valPos(btex
@@ -427,7 +431,7 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
endTableau;
beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @ln}$ etex);
nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
@@ -440,7 +444,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle -@ln}$ etex)
endTableau;
beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex);
valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$
etex,1);valPos(btex
@@ -458,14 +462,13 @@ valPos(btex $1$ etex,1);
endTableau;
beginTableau(32) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex);
-
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex);
valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);
endTableau;
beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3 \sqrt{3}}{4}$
etex,1);valPos(btex
@@ -524,7 +527,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
endTableau;
beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
etex,0);valPos(btex
@@ -532,7 +535,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
endTableau;
beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $1$ etex,0); valPos(btex $2$
etex,1);valPos(btex
@@ -549,13 +552,13 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
endTableau;
beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$ $ etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $1$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\pi -1$ etex,0);
endTableau;
beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $e^{\frac{1}{2}}$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$
etex,1);valPos(btex
@@ -579,7 +582,7 @@ val(btex $1$ etex);
val(btex $\sqrt{2}$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDef;finNonDef;moins;valBarre(btex 0 etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDefStrict;finNonDefStrict;moins;valBarre(btex 0 etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); valPos(btex$-2$etex,0);limGauche(btex $0$ etex,1);debutNonDef;finNonDef;limDroite(btex $0$ etex,1);valPos(btex$-2$etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
@@ -588,8 +591,8 @@ val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
beginTableau(45) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
@@ -640,7 +643,7 @@ val(btex $4$ etex);
val(btex $6$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
@@ -690,4 +693,9 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f (x)}$ etex);
endTableau;
- \ No newline at end of file
+ beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; nonDefBarre;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g'}$ etex);
+nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);
+endTableau;
+
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 7841bf6b493..11f73791c5a 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -87,7 +87,7 @@
<body>
<pre>
<span class="font-latex-sedate">\NeedsTeXFormat</span>{LaTeX2e}[1995/12/01]
-<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[29/01/2009 v4.02c la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[07/02/2009 v4.03 la machine a creer des tableaux de signes et variations]
<span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\copyleft</span></span><span class="comment"> Connan le Barbare (aka Guillaume Connan) </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="comment">This work may be distributed and/or mofified under the conditions
@@ -95,7 +95,7 @@
</span><span class="comment-delimiter">% </span><span class="comment">any later version. The latest version is in
</span><span class="comment-delimiter">% </span><span class="comment">http://www.latex-project.org/lppl/
</span><span class="comment-delimiter">% </span><span class="comment">This work consists of the files tablor.sty, tablor-xetex.sty, tablor.cfg, tablor.tex,
-</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.html
+</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.</span><span class="comment"><span class="flyspell-incorrect">html</span></span><span class="comment">
</span>
<span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements :
@@ -187,13 +187,13 @@
<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
<span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
-<span class="font-latex-sedate">\fvset</span>{gobble=0}
+<span class="font-latex-sedate">\fvset</span>{<span class="flyspell-incorrect">gobble</span>=0}
<span class="comment-delimiter">% </span><span class="comment">option xcas present
</span>
<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false}
-<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}}
<span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span>
@@ -225,7 +225,7 @@
-<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via </span><span class="comment"><span class="flyspell-incorrect">pdflatex</span></span><span class="comment">
+<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via pdflatex
</span>
<span class="font-latex-sedate">\ifpdf</span>
<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{mps}{*}{}
@@ -239,12 +239,12 @@
-<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers metapost
+<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers </span><span class="comment"><span class="flyspell-duplicate">metapost</span></span><span class="comment">
</span>
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp}
- <span class="flyspell-duplicate">end</span>
+ end
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -273,19 +273,19 @@
<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVn}</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVnbis</span></span><span class="function-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVnbis}</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tvbis</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVnbis</span>}
<span class="comment-delimiter">%% </span><span class="comment">permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par defaut)
-</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques </span><span class="comment"><span class="flyspell-incorrect">verifications</span></span><span class="comment"> :
+</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques verifications :
</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\initablor</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]{<span class="comment">%
</span><span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nomtravail</span></span><span class="function-name">}</span>{#1}<span class="comment">% Arret du nom des tableaux
</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">% Initialisation du compteur de tableaux.
-</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option </span><span class="comment"><span class="flyspell-duplicate">XCas</span></span><span class="comment">
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option XCas
</span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Si Tableaux.mp est present...
</span> {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}}<span class="comment">% le detruire
</span> {}<span class="comment">%
@@ -296,18 +296,18 @@
</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode <span class="font-latex-sedate">\nomtravail</span>.Tab}}<span class="comment">% l'executer pour reconstituer les figures
</span>{<span class="font-latex-sedate">\PackageWarning</span>{tablor}{Pas de source metapost pour creer les tableaux.}}<span class="comment">% sinon message d'erreur
</span> <span class="comment">% (mais pas d'arret car les tableaux
-</span> <span class="comment">% peuvent &#234;tre </span><span class="comment"><span class="flyspell-incorrect">presents</span></span><span class="comment"> )
+</span> <span class="comment">% peuvent &#234;tre presents )
</span>}}<span class="comment">%
</span>
-<span class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon l'OS
+<span class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon </span><span class="comment"><span class="flyspell-duplicate">l'OS</span></span><span class="comment">
</span>
<span class="font-latex-sedate">\makeatletter</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\executGiacmp</span></span><span class="function-name">}</span>[1]{<span class="comment">%
</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
-</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">giac</span> #1 }}<span class="comment">%
-</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac &lt;#1 }}}
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac #1 }}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">giac</span> &lt;#1 }}}
<span class="font-latex-sedate">\makeatother</span>
@@ -331,19 +331,19 @@
TV(L,F,nom,nomv,f,ftt,trigo,nmr):={
nl:=size(L);
f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=function_diff(f);
+fp:=function_diff(f);
Z:=concat(L,F);
S:=[];
if(trigo==t){
-<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+all_trig_solutions:=1;
+<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
SS:=solve(factor(simplify(fp(x))),x);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
m:=0;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
};m:=-1;
while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
@@ -359,10 +359,10 @@ S:=solve(fp(x),x);
qq:=member(simplify(S[j]),Z)==0;
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
if(kk==1){if(qq==1){Z:=append(Z,simplify(S[j]))}};
- <span class="flyspell-duplicate">fpour</span>
+ fpour
fsi;
Z:=sort(Z);
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
@@ -382,19 +382,19 @@ nz:=size(Z);
Z:=sort(Z);
nz:=size(Z);
- si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
+ si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1;
fsi;
pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1;
+ si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
fsi;
fpour;
nz:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
-";fpour;
+";<span class="flyspell-duplicate">fpour</span>;
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
- kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
+ kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
@@ -428,14 +428,14 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
"}}}
}; }
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
-<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);"}else{"0);"}}
- else{"limGauche(btex <span class="font-latex-math">$"+
+ else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
@@ -513,7 +513,7 @@ fprint(sortie,Unquoted,MetaLfc);
<span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">TVPC : pour les fonctions prolongeables par </span><span class="comment"><span class="flyspell-duplicate">continuit</span></span><span class="comment">&#233;.
+</span><span class="comment-delimiter">% </span><span class="comment">TVPC : pour les fonctions prolongeables par continuit&#233;.
</span><span class="comment-delimiter">%%</span><span class="comment">
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
@@ -532,7 +532,7 @@ S:=[];
if(trigo==t){
all_trig_solutions:=1;
-<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
+reset_solve_counter(-1,-1);
SS:=solve(factor(simplify(fp(x))),x);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
@@ -560,7 +560,7 @@ nz:=size(Z);
tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
- <span class="flyspell-duplicate">ftantque</span>;
+ ftantque;
@@ -571,7 +571,7 @@ nz:=size(Z);
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
if(kk==1){Z:=append(Z,simplify(S[j]))};
- <span class="flyspell-duplicate">fpour</span>
+ fpour
fsi;
Z:=sort(Z);
@@ -590,7 +590,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
-<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],FP)==0){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -601,7 +601,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre;
"}
lm0:=limit(f(x),x=Z[0],1)==-infinity;
li:=lvic+nom+"}$</span> etex);"+
@@ -622,16 +622,16 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
"}}}
}; }
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
- if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}};
+ if(kz==1){"1);"}else{"0);"}};
@@ -639,15 +639,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
MetaLfc:=if(ftt==2){if(nz&gt;2){"
-<span class="flyspell-duplicate">beginTableau</span>("+nmr+")"+
+beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
endTableau;
";}else{
-intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";
}
@@ -657,32 +657,32 @@ li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
";}}else{
if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}}
@@ -714,12 +714,12 @@ fclose(sortie);
</span><span class="comment-delimiter">%% </span><span class="comment">par exemple, pour sqrt(x^2-1) : TVZ([-infinity,100],[],[[-1,1]],"f","x",sqrt(x^2-1),1,1)
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVZ.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVZ.cxx}
-TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
-nl:=size(L);
-nf:=size(FF);
+<span class="flyspell-duplicate">TVZ</span>(L,F,FF,nom,<span class="flyspell-duplicate">nomv</span>,f,ftt,trigo,nmr):={
+<span class="flyspell-duplicate">nl</span>:=size(L);
+nf:=size(<span class="flyspell-duplicate">FF</span>);
Ff:=NULL;IMIN:=NULL;IMAX:=NULL;
for(k:=0;k&lt;nf;k++){
if(FF[k][0]&gt;L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]};
@@ -728,9 +728,9 @@ if(FF[k][1]&lt;L[1]){Imax[k]:=FF[k][1];LL:=L}else{Imax[k]:=L[1];LL:=[L[0]]};
IMIN:=IMIN,Imin[k];
IMAX:=IMAX,Imax[k];
}
- FF:=[Ff];
- IMIN:=[IMIN];
- IMAX:=[IMAX];
+ FF:=[<span class="flyspell-duplicate">Ff</span>];
+ IMIN:=[<span class="flyspell-duplicate">IMIN</span>];
+ IMAX:=[<span class="flyspell-duplicate">IMAX</span>];
f:=unapply(f,x);
fp:=function_diff(f);
Z:=concat(LL,F);
@@ -743,13 +743,13 @@ S:=[];
if(trigo==t){
-all_trig_solutions:=1;
+<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
reset_solve_counter(-1,-1);
-<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x);
+SS:=solve(factor(simplify(fp(x))),x);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
};m:=-1;
while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
@@ -767,7 +767,7 @@ S:=solve(fp(x),x);
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
for(k:=0;k&lt;nf;k++){
- kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[<span class="flyspell-duplicate">nl</span>-1]));
+ kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
kK:=(evalf(S[j])&lt;evalf(Imin[k])) or (evalf(S[j])&gt;evalf(Imax[k]));
Kk:=(kk) and kK;
if(Kk==1){Z:=append(Z,simplify(S[j]))};
@@ -783,7 +783,7 @@ nz:=size(Z);
si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1;
fsi;
pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1;
+ si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
fsi;
<span class="flyspell-duplicate">fpour</span>;
nz:=size(Z);
@@ -797,14 +797,14 @@ for(j:=0;j&lt;nf;j++){
nz:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
";fpour;
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
-lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
-if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }}}
@@ -812,23 +812,23 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
- lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{
- if(member(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){"finNonDef;"+
- if(ksp==1){"plus;"}else{"moins;"}}else{
- if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ lsp:=lsp+if(member(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMIN</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDef</span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDefStrict</span></span><span class="font-latex-math">;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{
+ if(</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">finNonDefStrict</span></span><span class="font-latex-math">;"}+
+ if(ksp==1){"plus;"}else{"moins;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{
+ if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"nonDefBarre;"}+
if(ksp==1){"plus;"}else{"moins;"}
}}}};
-lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"nonDefBarre;
+</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span></span><span class="font-latex-math">;"}}else{if(member(Z[nz-1],F)==0){""}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;
"}}
-lm0:=limit(f(x),x=Z[0],1)==-infinity;
+</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">;
li:=lvic +nom+"}$</span> etex);"+
if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
- else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+
+ else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+
if(k0==1){"1"}else{"0"}+
");";
@@ -838,51 +838,50 @@ if(nz&gt;2){
krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;
lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
- lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
+ lp:=<span class="flyspell-duplicate">lp</span>+if(<span class="flyspell-duplicate">member</span>(Z[r],<span class="flyspell-duplicate">IMIN</span>)!=0){"<span class="flyspell-duplicate">limGauche</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrm==1){
"-\\infty"}else{
latex(simplify(limit(f(x),x=Z[r],-1)))}
- +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){
- "1);"}else{"0);"}
- +"debutNonDef;"
- }//fsi Zr=Imin
- else{
- if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
+ +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krm</span>==1){
+ "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
+ +if(member(Z[r],F)==0){"<span class="flyspell-duplicate">debutNonDef</span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">debutNonDefStrict</span>;"}
+ }//<span class="flyspell-duplicate">fsi</span> <span class="flyspell-duplicate">Zr</span>=<span class="flyspell-duplicate">Imin</span>
+ <span class="flyspell-duplicate">else</span>{
+ if (member(Z[r],<span class="flyspell-duplicate">IMAX</span>)!=0){if(member(Z[r],F)==0){"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span>;"}+"<span class="flyspell-duplicate">limDroite</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp==1){
"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
- +"$</span> etex,"+if(krp==1){
- "1);"}else{"0);"}
- }
- else {
- if(member(Z[r],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
+ +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krp</span>==1){
+ "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
+ }<span class="flyspell-duplicate">else</span>{
+ if(<span class="flyspell-duplicate">member</span>(Z[r],F)){
+ "<span class="flyspell-duplicate">limGauche</span>(btex <span class="font-latex-math">$"+if(lmrm==1){
"-\\infty"}else{
latex(simplify(limit(f(x),x=Z[r],-1)))}
- +"$</span> etex,"+if(krm==1){
- "1);"}else{"0);"}
- +"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
+ +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){
+ "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
+ +"<span class="flyspell-duplicate">nonDefBarre</span>;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
- +"$</span> etex,"+if(krp==1){
- "1);"}else{"0);"}
- }//fsi (member Zr F)
- else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>etex,"+
+ +"$</span> etex,"+if(<span class="flyspell-duplicate">krp</span>==1){
+ "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
+ }//<span class="flyspell-duplicate">fsi</span> (member Zr F)
+ else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span><span class="flyspell-duplicate">etex</span>,"+
if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){
"0.5);"}<span class="flyspell-duplicate">else</span>{
- if(krp==1){
- "1);"}else{"0);"}//felse(krp)
- }//felse(valpos)
+ if(<span class="flyspell-duplicate">krp</span>==1){
+ "1);"}else{"0);"}//felse(<span class="flyspell-duplicate">krp</span>)
+ }//felse(<span class="flyspell-incorrect">valpos</span>)
}//felse(member Zr F)
- } //felse(Zr=Imax)
+ } //felse(Zr=<span class="flyspell-duplicate">Imax</span>)
}//felse(Zr=<span class="flyspell-duplicate">Imin</span>)
- };//ffor
- }//fsi nz
+ };//<span class="flyspell-incorrect">ffor</span>
+ }//fsi <span class="flyspell-duplicate">nz</span>
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+<span class="flyspell-duplicate">lnz</span>:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
-lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);"}else{"0);"}}
- else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
@@ -890,14 +889,14 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
-MetaLfc:=if(ftt==2){if(nz&gt;2){"
+MetaLfc:=if(ftt==2){if(<span class="flyspell-duplicate">nz</span>&gt;2){"
beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
<span class="flyspell-duplicate">endTableau</span>;
";}else{
-intro+"beginTableau("+nmr+")"+
+<span class="flyspell-duplicate">intro</span>+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
<span class="flyspell-duplicate">endTableau</span>;
@@ -908,7 +907,7 @@ lsi+lsf+"
l0+
li+
lp+
-lf
+<span class="flyspell-duplicate">lf</span>
+"
<span class="flyspell-duplicate">endTableau</span>;
@@ -959,7 +958,7 @@ fclose(sortie);
</span>
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.cxx}
@@ -972,7 +971,7 @@ TVapp(L,F,nom,nomv,f,ftt,nmr):={
nl:=size(L);
f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=function_diff(f);
+fp:=function_diff(f);
z0:=concat(L,F);z:=sort(z0);
nz:=size(z);
@@ -983,7 +982,7 @@ nz:=size(z);
S:=NULL;
if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-<span class="flyspell-duplicate">else</span>{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;}
else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for; }}};
@@ -995,7 +994,7 @@ si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
fpour;
-<span class="flyspell-duplicate">fsi</span>;
+fsi;
S:=NULL;
@@ -1020,7 +1019,7 @@ Z:=[S];
nz:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
";fpour;
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
@@ -1037,7 +1036,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf:=if(member(Z[nz-1],F)==0){""}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
"}
lm0:=limit(f(x),x=Z[0],1)==-infinity;
li:=lvic+nom+"}$</span> etex);"+
@@ -1050,35 +1049,35 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;
lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
lp:=lp+if(member(Z[r],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{latex(simplify(limit(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>
etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}}
}; }
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);"}else{"0);"}}
- else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+ else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
-<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz&gt;2){"
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{
intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";
}
@@ -1086,7 +1085,7 @@ lsi+lsf+"
l0+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
@@ -1103,7 +1102,7 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi+lsp+lsf+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
@@ -1113,7 +1112,7 @@ lsi+lsf+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}}
@@ -1142,14 +1141,14 @@ fclose(sortie);
<span class="comment-delimiter">%%</span><span class="comment">
</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de Variations avec
-</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs </span><span class="comment"><span class="flyspell-incorrect">intermediaires</span></span><span class="comment">
+</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs intermediaires
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.cxx}
TVI(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
@@ -1218,10 +1217,10 @@ if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(L
if(PB[k]==1){if(TestS==0){
A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;kk:=kk+1}
-else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=<span class="flyspell-duplicate">kk</span>+1}};
+else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}};
}
- l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"
};
@@ -1230,7 +1229,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
-<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -1245,27 +1244,27 @@ if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(evalf(sign(LL[r
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex $</span> <span class="font-latex-math">$ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
}}
-</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0);
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
- if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+
+ if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex $</span> <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
- else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+
- if(kspp==1){"plus;"}else{"moins;"};rr:=</span><span class="font-latex-math"><span class="flyspell-duplicate">rr</span></span><span class="font-latex-math">+1;}
+ else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
}}}};
- lsf:=if(member(Z[nz-1],F)==0){" "}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}
+ lsf:=if(member(Z[nz-1],F)==0){" "}else{"nonDefBarre;"}
-lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">;
+lm0:=limit(f(x),x=Z[0],1)==-infinity;
-TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
li:=lvic+nom+"}$</span> etex);
"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
@@ -1290,35 +1289,35 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
lmrm:=limit(f(x),x=Z[rr],-1)==-infinity;lmrp:=limit(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
- etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span>
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
<span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
";rr:=rr+1;
}// testS==0
-<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){
+else{lp:=lp+if(member(Z[rr],F)){
"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
- etex,"+if(evalf(sign(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=rr+1;
}//else testS==0
}//PB[r]==1
}//for nz&lt;NL
-}// else nz&lt;<span class="flyspell-duplicate">NL</span>
+}// else nz&lt;NL
//if nz=NL
-};//if <span class="flyspell-duplicate">nz</span>&gt;2
+};//if nz&gt;2
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ if(kz==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
+ if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
@@ -1326,15 +1325,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
-MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
endTableau;
-";}<span class="flyspell-duplicate">else</span>{
+";}else{
"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+lsi+lsf+"
+endTableau;
";
}
@@ -1343,33 +1342,33 @@ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
";}}else{
-if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
lsi+lsp+lsf+
li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}};
@@ -1381,7 +1380,7 @@ li+
sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -1405,9 +1404,6 @@ fclose(sortie);
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.<span class="flyspell-duplicate">cxx</span>}
-
-
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.cxx}
TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={
@@ -1635,13 +1631,13 @@ lf
+"
endTableau;
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
l0+
lsi+lsf+
li+
lf
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}
}};
@@ -1668,7 +1664,7 @@ fclose(sortie);
<span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes parametrees
+</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes </span><span class="comment"><span class="flyspell-duplicate">parametrees</span></span><span class="comment">
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
@@ -1678,7 +1674,7 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVP.cxx}
-TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={
+<span class="flyspell-duplicate">TVP</span>(L,F,nom,nomv,ff,ftt,trigo,nmr):={
//local Z,LLL,FFF,nl,fp,f,S,d,t,ns,k,m,x,j,kk,nz,u,l0;
nl:=size(L);
fp:=[];
@@ -1689,20 +1685,20 @@ LLL:=[];
all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+reset_solve_<span class="flyspell-duplicate">counter</span>(-1,-1);
for(d:=0;d&lt;=1;d++){
f:=subst(f,f[d]=unapply(f[d],t));
fp:=append(fp,function_diff(f[d]));
LLL:=concat(L,F[d]);
Z:=LLL union Z;
-SS:=solve(factor(simplify(fp[d](t))),t);
+<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp[d](t))),t);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
if(trigo==t){
m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
@@ -1713,7 +1709,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
}
}else{
-S:=concat(S,SS);
+S:=concat(S,<span class="flyspell-duplicate">SS</span>);
}
}
@@ -1729,7 +1725,7 @@ nz:=size(Z);
tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
- ftantque;
+ <span class="flyspell-duplicate">ftantque</span>;
@@ -1741,7 +1737,7 @@ u:=1;
Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
ftantque;
u:=u+1;
- ftantque;
+ <span class="flyspell-duplicate">ftantque</span>;
};
@@ -1755,7 +1751,7 @@ nz:=size(Z);
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
";fpour;
- lsi:="","";
+ <span class="flyspell-duplicate">lsi</span>:="","";
FFF:=[[],[]];
@@ -1765,7 +1761,7 @@ FFF[d]:=concat(F[d],[-infinity,+infinity]);
kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))&gt; evalf(limit(f[d](x),x=Z[nz-2],1));
//}
//<span class="font-latex-math">$
- lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre;
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;
"}}+
if(Z[0]==-infinity){if(sign(evalf(fp[d](if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F[d])==0){
if(sign(fp[d](Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{
@@ -1776,7 +1772,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp[d](Z[r]+0.01))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
+lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}}
@@ -1802,10 +1798,10 @@ for(d:=0;d&lt;=1;d++){
//{
//<span class="font-latex-math">$
lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
- li[d]:=lvic+nom[d]+"}$</span> etex);"+
+ li[d]:=lvic+nom[d]+"}$</span> <span class="flyspell-duplicate">etex</span>);"+
if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}
else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+
- if(K0[d]==1){"1"}else{"0"}+
+ if(K0[d]==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+
");";
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))&lt; evalf(limit(f[d](x),x=Z[r],-1));
@@ -1814,21 +1810,21 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
lp[d]:=lp[d]+if(member(Z[r],F[d])){
"limGauche(btex
<span class="font-latex-math">$"+if(lmrm[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],-1)))}+"$</span>
- etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}}
+ etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f[d](Z[r])))+"$</span>
- etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
+ etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
"}}}
}; }
lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
-lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+
+lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(Kz[d]==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
+ if(Kz[d]==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
@@ -1848,13 +1844,13 @@ MetaLfc:=if(ftt==2){if(nz&gt;2){"
beginTableau("+nmr+")"+
l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{
intro+"beginTableau("+nmr+")"+
l0+
lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";
}
@@ -1865,18 +1861,18 @@ lp[0]+
lf[0]+
li[1]+
lp[1]+
-lf[1]
+<span class="flyspell-duplicate">lf</span>[1]
+"
endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li[0]+
-lf[0]+
+<span class="flyspell-duplicate">lf</span>[0]+
li[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}}else{
if(nz&gt;2){"beginTableau("+nmr+")"+
@@ -1884,24 +1880,24 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi[0]+lsp[0]+lsf[0]+
li[0]+
lp[0]+
-lf[0]+
+<span class="flyspell-duplicate">lf</span>[0]+
lsi[1]+lsp[1]+lsf[1]+
li[1]+
lp[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{"beginTableau("+nmr+")"+
l0+
lsi[0]+lsf[0]+
li[0]+
-lf[0]+
+<span class="flyspell-duplicate">lf</span>[0]+
lsi[1]+lsf[1]+
li[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}
}
@@ -2707,7 +2703,7 @@ read("XCasTVP.user");
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasTVZ</span>.giac}
maple_mode(0);
read("config.cxx");
read("XcasTVZ.cxx");
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index d11f564affd..6cae88990c4 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 9a7326263b1..033d101e4d0 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -3,8 +3,12 @@
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
-\usepackage[upright]{fourier}
-\usepackage{tablor}
+\usepackage[boldsans]{ccfonts}
+\usepackage{beton,euler}
+\usepackage{luximono}
+
+%\usepackage[upright]{fourier}
+\usepackage[xcas]{tablor}
\usepackage{listings,keystroke}
\usepackage{graphicx,bclogo,amssymb,amsbsy,amsfonts,amstext,amscd,amsopn,amsxtra}
@@ -47,12 +51,14 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
% petits environnements bclogo
+
+
\newenvironment{DANGER}[1]{%
-\begin{bclogo}{\attention}{#1}{0.9white}{0.1}{0}}
+\begin{bclogo}[logo=\bctakecare,arrondi=0.1,couleur=0.9white]{#1}}
{\end{bclogo}}
\newenvironment{Idee}[1]{%
-\begin{bclogo}{\coeur}{#1}{0.9white}{0.1}{0}}
+\begin{bclogo}[logo=\bclampe,arrondi=0.1,couleur=0.9white]{#1}}
{\end{bclogo}}
@@ -61,11 +67,11 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
\usepackage{sectsty}
-\sectionfont{\LARGE \sffamily\color{0.2white}}
-\subsectionfont{\sffamily\color{0.4white}}
+\sectionfont{\LARGE \color{0.2white}}
+\subsectionfont{\color{0.4white}}
\renewcommand\thesection{\Roman{section} -}
\renewcommand\thesubsection{\alph{subsection}. }
-\subsubsectionfont{\sffamily\color{0.6white}}
+\subsubsectionfont{\color{0.6white}}
\renewcommand\thesubsubsection{\roman{subsection}. }
@@ -80,7 +86,7 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
avec l'efficace participation de Jean-Michel \textsc{Boucart}\\
Forum d'aide ~:~\href{http://gconnan.free.fr/punbb/upload/index.php}{http://gconnan.free.fr/punbb/upload/index.php}}
-\date{24 novembre 2008 - Version 4.02b}
+\date{7 février 2009 - Version 4.03}
@@ -118,6 +124,22 @@ minimum de commandes.
\subsection{Changements depuis la version 3.00}
+
+\begin{figure}[!h]
+ \begin{DANGER}{Attention~!}
+ À partir de la version 4.03 de \texttt{tablor}, il est
+ nécessaire d'avoir la nouvelle version de
+ tableauVariation.mp (la 2.1 datant de décembre 2008) mais
+ pour l'instant elle n'est pas présente sur CTAN~!
+ Récupérez plutôt le fichier à l'adresse
+ \href{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}.
+
+Cela ne posera de problèmes que si vous utilisez l'environnement TVZ.
+ \end{DANGER}
+ \end{figure}
+
+
+
La version 4.01 n'est malheureusement plus compatible avec les versions
antérieures car une option supplémentaire a été ajoutée pour traiter les
fonctions trigonométriques.
@@ -142,6 +164,11 @@ prolongeables par continuité (version 4.02).
Une possibilité a été ajoutée pour donner un nom à une fonction
nécessitant l'emploi d'une macro \LaTeX{} (version 4.02b).
+
+Les frontières des zones interdites sont assorties de doubles
+barres si nécessaire. (version 4.03)
+
+
\subsection{Professor.sty}
@@ -155,8 +182,12 @@ découvrir ces trésors sur
+\subsection{Plugin TeXmacs}
+Emmanuël Corcelle a écrit un plugin pour que les utilisateurs de TeXmacs
+puissent eux aussi profiter de \texttt{tablor} et
+\texttt{professor}. Pour cela visitez le site \href{http://corcelle.wordpress.com/}{http://corcelle.wordpress.com/}
@@ -258,20 +289,30 @@ et
\href{http://mathsp.tuxfamily.org/spip.php?article186}{http://mathsp.tuxfamily.org/spip.php?article186}
surtout si vous êtes sur XP :-)
+
+De nombreux problèmes ont été réglés sur le forum~: \href{http://gconnan.free.fr/punbb/upload/index.php}{http://gconnan.free.fr/punbb/upload/index.php}
\end{Idee}
\end{figure}
+ \begin{figure}[!h]
+ \begin{Idee}{MikTeX et TeXLive}
+ \texttt{tablor} est présent sur MikTeX et
+ TeXLive. \texttt{tableauVariation.mp} est sur
+ MikTeX mais la version n'est pas à jour (à la date du 7 février 2009).
+ \end{Idee}
+ \end{figure}
+
+
\begin{itemize}
\item Il faut avoir installé \texttt{XCAS}, logiciel multi-plateforme de calcul et de programmation~:
-\href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html};
+\href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}~;
\item il faut avoir le fichier de macros \texttt{MetaPOST}
\texttt{tableauVariation.mp} de Frédéric Mazoit~:
-
-\href{http://frederic.mazoit.free.fr/LaTeX\_metapost/tableauVariations/}{http://frederic.mazoit.free.fr/LaTeX\_metapost/tableauVariations/};
+\href{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}~;
Pour ceux qui sont guère habitués à \texttt{MetaPOST}, cela ne pose aucun problème car les
scripts et compilations \texttt{MetaPOST} se font automatiquement. Il suffit de créer dans son
@@ -386,7 +427,8 @@ et là il faut ajouter
\begin{DANGER}{Commandes créées}
- Huit nouvelles commandes sont crées~:~\verb+\tv, \tvbis, \nettoyer, \initablor, \Tableaux,+
+ Huit nouvelles commandes sont crées~:~\verb+\tv, \tvbis, \nettoyer, \initablor,+
+
\verb+ \dresse, \dressetoile, \executGiacmp+.
Attention aux conflits si de tels noms existent quelque part dans vos
fichiers personnels.
@@ -407,6 +449,17 @@ et là il faut ajouter
\section{Comment l'utiliser~?}
+
+
+\begin{figure}[!h]
+ \begin{Idee}{Faut-il savoir utiliser MetaPOST et XCAS~?}
+ Non~! Tous les appels à ces logiciels se font sans aucune
+ intervention de l'utilisateur.
+ \end{Idee}
+ \end{figure}
+
+
+
\subsection{Préambule}
Les ECM donnés en exemple ne dépendent pas du moteur de compilation~:~\texttt{\LaTeX{}+dvi+dvips} ou
@@ -579,19 +632,19 @@ Vous le placerez dans la même arborescence que \texttt{tablor.sty} et le modifie
\subsubsection*{Rôle}
-\begin{enumerate}
-\item[I] La première partie permet de configurer le préambule \texttt{tex} qui sera utilisé par
+\begin{itemize}
+\item La première partie permet de configurer le préambule \texttt{tex} qui sera utilisé par
\texttt{MetaPOST} pour créer les tableaux. La ligne contenant
l'extension des fontes est en particulier optionnelle~:~vous pouvez la
modifier, voire la supprimer selon vos choix de fontes;
-\item[II] si vous utilisez \texttt{ Microsoft-Windows}, il faudra décommenter la
+\item si vous utilisez \texttt{ Microsoft-Windows}, il faudra décommenter la
ligne spécifiée afin que les commandes \texttt{unix} soient remplacées
automatiquement par des commandes \texttt{dos};
-\item[III] l'éditeur sera appelé dans certains cas pour modifier
+\item l'éditeur sera appelé dans certains cas pour modifier
l'aspect des tableaux dans les fichiers sources \texttt{MetaPOST}. Il faudra choisir un éditeur
comme par exemple \texttt{emacs, xemacs, texmaker, vi, winshell, notepad, vim, kate, gedit,
textmate,texshop}, \texttt{kile}, etc.
@@ -600,12 +653,12 @@ que vous utilisez pour \LaTeX{} afin que la fenêtre s'ouvre sans problème.
Voir aussi le paragraphe~\ref{modif};
-\item[IV] par défaut, on voit apparaître dans la première colonne des tableaux «~signe de ~» ou
+\item par défaut, on voit apparaître dans la première colonne des tableaux «~signe de ~» ou
«~variations de ~». Vous pouvez modifier ces réglages ici comme indiqué; deux exemples sont
donnés~:~en anglais ou en n'écrivant que les expressions.
-\end{enumerate}
+\end{itemize}
\subsection{Initialisation de \texttt{tablor} et préfixe des tableaux}\label{prefix}
@@ -1010,9 +1063,11 @@ TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
et on obtient~:
+\ech{0.9}
\begin{TVI}
TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
\end{TVI}
+\ech{1}
Les solutions sont notées $\alpha_1$, $\alpha_2$, etc.
@@ -1777,12 +1832,12 @@ TSc((x-10)*(x+10),[-10,10],[],n,\tv)
\begin{lstlisting}
\begin{TVZ}
- TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
+ TVZ([-infinity,+infinity],[-1,1],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
\end{TVZ}
\end{lstlisting}
\begin{TVZ}
- TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
+ TVZ([-infinity,+infinity],[-1,1],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
\end{TVZ}
@@ -1813,8 +1868,8 @@ TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,t,\tv)
\begin{lstlisting}
-\begin{TVZ}
- TVZ([-infinity,+infinity],[-1,1,4,6],[[-1,1],[4,6]],"f","x",ln((x-5)^2-1)+ln(x^2-1),1,n,\tv)
+ \begin{TVZ}
+ TVZ([-infinity,+infinity],[],[[-1,1],[4,6]],"f","x",sqrt((x-5)^2-1)+sqrt(x^2-1),1,n,\tv)
\end{TVZ}
\end{lstlisting}
@@ -1854,11 +1909,17 @@ TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,t,\tv)
\end{TS}
\end{center}
+\begin{lstlisting}
+\begin{TVIapp}
+TVIapp([-1,+infinity],[-1,0],"g'","x",diff(ln(x+1)/x^2,x),1,0,\tv)
+\end{TVIapp}
+\end{lstlisting}
-
-
-
-
+\begin{center}
+\begin{TVIapp}
+TVIapp([-1,+infinity],[-1,0],"g'","x",diff(ln(x+1)/x^2,x),1,0,\tv)
+\end{TVIapp}
+\end{center}