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authorKarl Berry <karl@freefriends.org>2008-11-25 01:28:42 +0000
committerKarl Berry <karl@freefriends.org>2008-11-25 01:28:42 +0000
commit6866223d1f064649cf7f9b8cb6b83fdbfae23d4f (patch)
treebe3ce5888a619837d06c9299fd9107d486cca50c /Master/texmf-dist/doc/latex/tablor
parent5f6cc6c2f8ebbeee0dd2fc7895ddb75548bb31f6 (diff)
tablor 4.02b (24nov08)
git-svn-id: svn://tug.org/texlive/trunk@11412 c570f23f-e606-0410-a88d-b1316a301751
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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 301f93997ec..757af64da23 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -7,6 +7,7 @@ verbatimtex
\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas
\renewcommand\cdot{ } % idem pour les cdot
\begin{document}
+\catcode`\@=0 % pour utiliser le @
etex
beginTableau(0) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
val(btex $-1$ etex);
@@ -38,7 +39,25 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va
etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
endTableau;
-beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
+
+beginTableau(2)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty $ etex);val(btex $\frac{-3}{5}$ etex);
+val(btex $2$ etex);
+val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(45 x\right)-27}$ etex);
+ plus;
+ valBarre(btex 0 etex);moins;barre;moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 2-x}$ etex);
+ plus;barre;
+ plus;valBarre(btex 0 etex);moins;
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi(x)}$ etex);
+ plus;valBarre(btex 0 etex); moins;nonDefBarre;plus;
+endTableau;
+
+beginTableau(3) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
val(btex $0$ etex);
val(btex $7$ etex);
@@ -47,7 +66,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
valPos(btex $49$ etex,1);
endTableau;
-beginTableau(3) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $0$ etex);
val(btex $+\infty $ etex);
@@ -59,14 +78,14 @@ endTableau;
-beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $0$ etex);
val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;
endTableau;
-beginTableau(5) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
+beginTableau(6) newLigneVariables(btex $t$ etex);val(btex $-10$ etex);
val(btex $-1$ etex);
val(btex $0$ etex);
val(btex $1$ etex);
@@ -81,7 +100,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va
etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
endTableau;
-beginTableau(6) newLigneVariables(btex $t$ etex);val(btex $-\pi $ etex);
+beginTableau(7) newLigneVariables(btex $t$ etex);val(btex $-\pi $ etex);
val(btex $\frac{(-\pi )}{2}$ etex);
val(btex $\frac{\pi }{2}$ etex);
val(btex $\pi $ etex);
@@ -93,16 +112,16 @@ valPos(btex $\frac{3}{2}$
etex,1);valPos(btex $\frac{1}{2}$ etex,0);
endTableau;
-beginTableau(7) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(8) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
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 $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $+\infty $ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDef;finNonDef;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;
-beginTableau(8) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $\frac{5}{2}$ etex);
@@ -114,7 +133,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
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);
endTableau;
-beginTableau(9) 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);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
@@ -124,7 +143,7 @@ valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(bte
valPos(btex $1$ etex,0);
endTableau;
-beginTableau(10) 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);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
@@ -136,7 +155,7 @@ valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefB
limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
endTableau;
-beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $ 0.212584$ etex);
val(btex $ 0.584635$ etex);
val(btex $+\infty $ etex);
@@ -148,7 +167,17 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);no
valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(13) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(14) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+val(btex $0$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex);moins; nonDefBarre;plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $1$ etex,1); valPos(btex
+ $0$
+ etex,0);valPos(btex $1$ etex,1);
+endTableau;
+
+beginTableau(15) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
val(btex $\frac{\pi }{8}$ etex);
val(btex $\frac{\pi }{3}$ etex);
val(btex $\frac{3 \pi }{8}$ etex);
@@ -168,7 +197,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va
valPos(btex $0$ etex,1);
endTableau;
-beginTableau(14) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+beginTableau(16) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
val(btex $-4$ etex);
val(btex $-1$ etex);
val(btex $0$ etex);
@@ -195,7 +224,7 @@ valPos(btex $\frac{16}{3}$
endTableau;
- beginTableau(15)
+ beginTableau(17)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex);
val(btex $5$etex);
@@ -205,7 +234,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2x+3}$ etex);plus;val
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -x+5}$ etex);plus;barre;plus;valBarre(btex 0 etex);moins;
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(-2x+3)(-x+5)}}$ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
endTableau;
- beginTableau(16)
+ beginTableau(18)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex);
val(btex $-1$ etex);
@@ -254,7 +283,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex);
endTableau;
- beginTableau(17)
+ beginTableau(19)
newLigneVariables(btex $ {x}$ etex);
val(btex $-15$ etex);val(btex $-10$ etex);
val(btex $10$ etex);
@@ -271,7 +300,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
endTableau;
-beginTableau(18)
+beginTableau(20)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty $ etex);val(btex $-4$ etex);
val(btex $\frac{5}{4}$ etex);
@@ -306,12 +335,28 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-2}$ etex);
moins;
valBarre(btex 0 etex);plus;barre;plus;
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
- moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;valBarre(btex 0 etex);plus;
+ moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus;
+endTableau;
+
+
+beginTableau(21)
+newLigneVariables(btex $ {x}$ etex);
+ val(btex $-\infty $ etex);val(btex $-10$ etex);
+val(btex $10$ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex);
+ moins;barre;moins;
+
+ valBarre(btex 0 etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex);
+ moins;valBarre(btex 0 etex);plus;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
+ plus;nonDefBarre; moins;
+ valBarre(btex 0 etex);
endTableau;
-beginTableau(19)
+beginTableau(22)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $-5$ etex);
val(btex $10$ etex);
@@ -322,7 +367,7 @@ endTableau;
-beginTableau(20)
+beginTableau(23)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $2$ etex);
val(btex $5$ etex);
@@ -333,7 +378,7 @@ endTableau;
-beginTableau(21)
+beginTableau(24)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex);
val(btex $\pi $ etex);
@@ -365,7 +410,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
endTableau;
- beginTableau(22) 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);
+ 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 $-1$
@@ -373,7 +418,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo
$ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(23) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
@@ -381,45 +426,45 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
$ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(24) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+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;
+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;
-beginTableau(26) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
+beginTableau(29) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
val(btex $+\infty $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -@ln'(x)}$ etex); moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle -@ln}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(27) 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 $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
+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;
+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
$ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
endTableau;
-beginTableau(28) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $\pi $ etex);
val(btex $2 \pi $ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$
etex,0);
valPos(btex $1$ etex,1);
endTableau;
-beginTableau(29) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex);
+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 $\hbox{ Signe de }\atop{\displaystyle h'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
-newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle h}$ etex);
+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(30) 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);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3 \sqrt{3}}{4}$
@@ -427,7 +472,7 @@ valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac
$ 1 $ etex,0.5);valPos(btex $0$ etex,0);
endTableau;
-beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
+beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
val(btex $0$ etex);
val(btex $+\infty $ etex);
@@ -436,7 +481,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);no
etex,1);valPos(btex $-\infty$ etex,0);
endTableau;
- beginTableau(32)
+ beginTableau(35)
newLigneVariables(btex $ {x}$ etex);
val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex);
val(btex $-1$ etex);
@@ -478,7 +523,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
endTableau;
- beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+ 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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
@@ -486,7 +531,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
$ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
valPos(btex $1$ etex,0); valPos(btex $2$
@@ -494,7 +539,7 @@ valPos(btex $1$ etex,0); valPos(btex $2$
$ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
@@ -503,13 +548,13 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
etex,1);valPos(btex $0$ etex,0);
endTableau;
-beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
+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;
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(38) 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);
+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;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$
@@ -519,7 +564,7 @@ endTableau;
-beginTableau(39)
+beginTableau(42)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $10$ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
@@ -527,7 +572,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
valBarre(btex 0 etex);
endTableau;
-beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-\left(\sqrt{2}\right)$ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
@@ -538,7 +583,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; v
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;
-beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
@@ -547,7 +592,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
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);
endTableau;
-beginTableau(42) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(45) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
val(btex $\frac{\pi }{8}$ etex);
val(btex $\frac{\pi }{3}$ etex);
val(btex $\frac{3 \pi }{8}$ etex);
@@ -567,7 +612,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va
valPos(btex $0$ etex,1);
endTableau;
-beginTableau(43) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(46) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
val(btex $\frac{\pi }{3}$ etex);
val(btex $\pi $ etex);
val(btex $\frac{5 \pi }{3}$ etex);
@@ -587,7 +632,7 @@ valPos(btex $0$
etex,0.5);valPos(btex $1$ etex,1);
endTableau;
-beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(47) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $\frac{5}{2}$ etex);
@@ -599,7 +644,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
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;
-beginTableau(45) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(48) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
val(btex $\frac{\pi }{8}$ etex);
val(btex $\frac{\pi }{6}$ etex);
val(btex $\frac{3 \pi }{8}$ etex);
@@ -618,7 +663,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va
valPos(btex $0$ etex,1);
endTableau;
- beginTableau(46)
+ beginTableau(49)
newLigneVariables(btex $ {x}$ etex);
val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);
val(btex $\frac{\pi }{3}$ etex);
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index fa685f22e01..fde38cb5681 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -81,10 +81,10 @@
<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>}[07/11/2008 v4.02 la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[24/11/2008 v4.02b 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
+</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">This</span></span><span class="comment"> work may be distributed and/or mofified under the conditions
</span><span class="comment-delimiter">% </span><span class="comment">or the LaTeX Project Public Licence, either v1.3 or (at your option)
</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/
@@ -105,7 +105,7 @@
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="comment">pour les tableaux de signes avec quotient
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSq}
-</span><span class="comment-delimiter">%</span><span class="comment">TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[a,b],n,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">%</span><span class="comment"><span class="flyspell-duplicate">TSq</span></span><span class="comment">("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[a,b],n,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
</span><span class="comment-delimiter">%%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TSq}
</span><span class="comment-delimiter">% </span><span class="comment">un tableau de variation :
</span><span class="comment-delimiter">%</span><span class="comment">
@@ -179,7 +179,7 @@
<span class="font-latex-sedate">\RequirePackage</span>{filecontents}
<span class="font-latex-sedate">\RequirePackage</span>{ifthen}
<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
-<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>}
+<span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
<span class="font-latex-sedate">\fvset</span>{gobble=0}
@@ -2038,7 +2038,7 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.cxx}
-TSq(nomf,L,Fo,D,trigo,nmr):={
+<span class="flyspell-duplicate">TSq</span>(nomf,L,Fo,D,trigo,nmr):={
L:=apply(f-&gt;unapply(f,x),L);
Fo:=apply(f-&gt;unapply(f,x),Fo);
L:=concat(L,Fo);
@@ -2104,7 +2104,7 @@ SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
}
}else{
-SF:=solve(Fo[j](x),x);
+SF:=solve(<span class="flyspell-duplicate">Fo</span>[k](x),x);
}
si size(SF)&gt;0 alors pour j de 0 jusque size(SF)-1 faire
@@ -2311,7 +2311,7 @@ fclose(sortie);
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTSc</span>.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTSc.cxx}
TSc(g,D,F,trigo,nmr):={
f:=unapply(g,x);
mini:=D[0]; maxi:=D[1];lm:=" ";
@@ -2409,7 +2409,7 @@ lf:=if(f(Z[nz-2]+0.1)&gt;0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi
MetaLfc:="
-<span class="flyspell-duplicate">beginTableau</span>("+nmr+")
+beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\displaystyle {x}$</span> etex);
"+l0+lsic+latex(f(x))+"}<span class="font-latex-math">$ etex);"+
li+lm+lf
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index b4798a99408..d11f564affd 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 bde15091152..9a7326263b1 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -80,7 +80,7 @@ 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{07 novembre 2008 - Version 4.02}
+\date{24 novembre 2008 - Version 4.02b}
@@ -104,6 +104,9 @@ Forum d'aide ~:~\href{http://gconnan.free.fr/punbb/upload/index.php}{http://gcon
\maketitle
+
+\vspace{1cm}
+
\initablor
\section{Ça sert à quoi~?}
@@ -135,6 +138,10 @@ unix.
Un environnement TVPC a été créé pour traiter les fonctions
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).
+
\subsection{Professor.sty}
@@ -354,9 +361,11 @@ et là il faut ajouter
\href{http://gconnan.free.fr/?page=52}{http://gconnan.free.fr/?page=52}
-\item il faut installer les fichiers de configuration
- \texttt{tablor.cfg} et \texttt{entateMP.cfg} dans le même
- répertoire de \texttt{tablor.sty}
+\item il faut installer le fichier de configuration
+ \texttt{tablor.cfg} dans le même
+ répertoire de \texttt{tablor.sty} ce qui est fait automatiquement
+ soit par décompression d'une archive \texttt{tablor.zip} soit par
+ l'intermédiaire des distributions \texttt{MikTeX} et \texttt{TeXLive}.
@@ -469,6 +478,7 @@ verbatimtex
\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas
\renewcommand\cdot{ } % idem pour les cdot
\begin{document}
+\catcode`\@=0 % pour utiliser le @
etex
\end{filecontents*}
@@ -711,6 +721,30 @@ TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,n,\tv)
+\section{Nom des fonctions et commandes \LaTeX{}}
+
+Si vous voulez donner un nom de fonction nécessitant l'emploi d'une
+commande \LaTeX{}, il faudra utiliser le caractère \verb+@+ au lieu de
+\verb+\+.
+
+Par exemple, pour nommer une fonction $\varphi$, il faudra entrer
+\verb+@varphi+~:
+
+
+\begin{lstlisting}
+\begin{TSq}
+TSq("@varphi",[-45*x-27],[2-x],[-infinity,+infinity],n,\tv)
+\end{TSq}
+\end{lstlisting}
+
+
+\begin{center}
+
+\begin{TSq}
+TSq("@varphi",[-45*x-27],[2-x],[-infinity,+infinity],n,\tv)
+\end{TSq}
+
+\end{center}
@@ -913,14 +947,14 @@ On utilise alors l'environnement \texttt{TVZ} (Z comme zone...).
\begin{lstlisting}
\begin{TVZ}
- TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",sqrt(x^2-1),1,n,\tv)
+ TVZ([-infinity,+infinity],[],[[-1,1]],"@varphi","x",sqrt(x^2-1),1,n,\tv)
\end{TVZ}
\end{lstlisting}
\begin{center}
\begin{TVZ}
- TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",sqrt(x^2-1),1,n,\tv)
+ TVZ([-infinity,+infinity],[],[[-1,1]],"@varphi","x",sqrt(x^2-1),1,n,\tv)
\end{TVZ}
\end{center}
@@ -1261,18 +1295,18 @@ TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[-infinity,+infinity],n,\tv)
TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[-infinity,+infinity],n,\tv)
\end{TSq}
-% Sur un intervalle borné~:
+ Sur un intervalle borné~:
-% \begin{lstlisting}
-% \begin{TSq}
-% TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
-% \end{TSq}
-% \end{lstlisting}
+\begin{lstlisting}
+\begin{TSq}
+TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
+\end{TSq}
+\end{lstlisting}
-% \begin{TSq}
-% TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
-% \end{TSq}
+\begin{TSq}
+TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
+\end{TSq}
@@ -1564,46 +1598,46 @@ TVI([-1/2,+infinity],[],"f","x",x^2,1,2,n,\tv)
\begin{lstlisting}
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x),1,2,n,\tv)
+TVI([0,+infinity],[0],"@ln","x",ln(x),1,2,n,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x),1,2,n,\tv)
+TVI([0,+infinity],[0],"@ln","x",ln(x),1,2,n,\tv)
\end{TVI}
\stepcounter{TVn}
\begin{lstlisting}
\begin{TV}
-TV([1,+infinity],[],"f","x",-ln(x),1,n,\tv)
+TV([1,+infinity],[],"-@ln","x",-ln(x),1,n,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([1,+infinity],[],"f","x",-ln(x),1,n,\tv)
+TV([1,+infinity],[],"-@ln","x",-ln(x),1,n,\tv)
\end{TV}
\begin{lstlisting}
\begin{TVI}
-TVI([-pi,pi],[],"f","x",cos(x),1,1/2,t,\tv)
+TVI([-pi,pi],[],"@cos","x",cos(x),1,1/2,t,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-pi,pi],[],"f","x",cos(x),1,1/2,t,\tv)
+TVI([-pi,pi],[],"@cos","x",cos(x),1,1/2,t,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TV}
-TV([0,2*pi],[],"f","x",cos(x),1,t,\tv)
+TV([0,2*pi],[],"@cos","x",cos(x),1,t,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([0,2*Pi],[],"f","x",cos(x),1,t,\tv)
+TV([0,2*Pi],[],"@cos","x",cos(x),1,t,\tv)
\end{TV}
@@ -1613,12 +1647,12 @@ TV([0,2*Pi],[],"f","x",cos(x),1,t,\tv)
\begin{lstlisting}
\begin{TVI}
-TVI([0,pi],[pi/2],"h","t",tan(x),1,7,t,\tv)
+TVI([0,pi],[pi/2],"@tan","t",tan(x),1,7,t,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([0,pi],[pi/2],"h","t",tan(x),1,7,t,\tv)
+TVI([0,pi],[pi/2],"@tan","t",tan(x),1,7,t,\tv)
\end{TVI}