diff options
| author | Karl Berry <karl@freefriends.org> | 2009-08-23 23:34:03 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2009-08-23 23:34:03 +0000 |
| commit | cd80a5bcb9cc333e0a1a3f93f259fbd185d262bb (patch) | |
| tree | 1f3663ed23bfc2b7d1f6c541b01b5d2b7663ac97 /Master/texmf-dist/doc/latex/tablor | |
| parent | f85ca263fe39a1ddc8be1fb679b44f0646877a91 (diff) | |
tablor 4.05 (23aug09)
git-svn-id: svn://tug.org/texlive/trunk@14831 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor')
63 files changed, 9462 insertions, 8510 deletions
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+newpath 0 -60.77197 moveto +287.12286 -60.77197 lineto stroke 0.5 0 dtransform exch truncate exch idtransform pop setlinewidth newpath 0 0 moveto -0 -87.80002 lineto stroke -newpath 525.98012 0 moveto -525.98012 -87.80002 lineto stroke +0 -60.77197 lineto stroke +newpath 287.12286 0 moveto +287.12286 -60.77197 lineto stroke showpage %%EOF 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 7542f5b669b..6fae90d5590 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp @@ -107,7 +107,19 @@ valPos(btex $\frac{3}{2}$ etex,1);valPos(btex $\frac{1}{2}$ etex,0); endTableau; -beginTableau(8) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(8) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,0); valPos(btex $5$etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1); +endTableau; + +beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);valPos(btex $9$ etex,1); +endTableau; + +beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $1$ etex);val(btex $2$ etex);val(btex $3$ etex);val(btex $4$ etex); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);nonDefBarre;limDroite(btex $-1$ etex,1); limGauche(btex$-\infty $etex,0);nonDefBarre;limDroite(btex$+\infty $etex,1);valPos(btex $2$etex,0);limGauche(btex $+\infty $ etex,1);nonDefBarre; +endTableau; + +beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -116,7 +128,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);mo 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(9) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $\frac{5}{2}$ etex); @@ -128,8 +140,9 @@ 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);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(13) 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); 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 @@ -137,7 +150,7 @@ valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(bte 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); +beginTableau(14) 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); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex @@ -148,8 +161,9 @@ 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 $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ 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;nonDefBarre;moins;valBarre(btex $ $ etex);moins; +beginTableau(15) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ 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;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 @@ -157,7 +171,7 @@ valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(bte valPos(btex $1$ etex,0); endTableau; -beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ etex);val(btex $1$ etex);val(btex $+\infty $ etex); +beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ 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); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex @@ -168,16 +182,18 @@ 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(14) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ 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; +beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ 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(15) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $ 0.337860$ etex);val(btex $\alpha_2$ etex);val(btex $ 1.745534$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins; +beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $ 0.337860$ etex);val(btex $\alpha_2$ etex);val(btex $ 1.745534$ etex);val(btex $+\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$ + $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g'}$ etex); nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); valPos(btex $ -0.530055$ etex,0);valPos(btex @@ -185,7 +201,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); valPo etex,1); valPos(btex $0$ etex,0); endTableau; -beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(19) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $ 0.212584$ etex); val(btex $ 0.584635$ etex); val(btex $+\infty $ etex); @@ -197,7 +213,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);no valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $ 0.001000$ etex); val(btex $ 0.002000$ etex); val(btex $+\infty $ etex); @@ -208,7 +224,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);no etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(18) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); +beginTableau(21) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); val(btex $0$ etex); val(btex $+\infty $ etex); @@ -218,7 +234,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va etex,0);valPos(btex $1$ etex,1); endTableau; -beginTableau(19) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(22) 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); @@ -238,7 +254,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va valPos(btex $0$ etex,1); endTableau; -beginTableau(20) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); +beginTableau(23) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex); val(btex $-4$ etex); val(btex $-1$ etex); val(btex $0$ etex); @@ -265,7 +281,7 @@ valPos(btex $\frac{16}{3}$ endTableau; - beginTableau(21) + beginTableau(24) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex); val(btex $5$etex); @@ -275,7 +291,7 @@ 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(22) + beginTableau(25) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex); val(btex $-1$ etex); @@ -324,7 +340,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex); endTableau; - beginTableau(23) + beginTableau(26) newLigneVariables(btex $ {x}$ etex); val(btex $-15$ etex);val(btex $-10$ etex); val(btex $10$ etex); @@ -341,7 +357,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex); endTableau; -beginTableau(24) +beginTableau(27) newLigneVariables(btex $ {x}$ etex); val(btex $-\infty $ etex);val(btex $-4$ etex); val(btex $\frac{5}{4}$ etex); @@ -359,7 +375,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); moins;no endTableau; -beginTableau(25) +beginTableau(28) newLigneVariables(btex $ {x}$ etex); val(btex $-10$ etex);val(btex $-3$ etex); val(btex $5$ etex); @@ -374,7 +390,7 @@ endTableau; -beginTableau(26) +beginTableau(29) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $-5$ etex); val(btex $10$ etex); @@ -385,7 +401,7 @@ endTableau; -beginTableau(27) +beginTableau(30) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $2$ etex); val(btex $5$ etex); @@ -396,7 +412,7 @@ endTableau; -beginTableau(28) +beginTableau(31) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex); val(btex $\pi $ etex); @@ -407,15 +423,38 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \tan\left(x\right)}$ e valBarre(btex 0 etex); plus;nonDefBarre;moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;valBarre(btex 0 etex); endTableau; -beginTableau(29) 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(105) +newLigneVariables(btex $ {x}$ etex); + val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex); +val(btex $-\frac{\sqrt{5}}{5}$ etex); +val(btex $\frac{\sqrt{5}}{5}$ etex); +val(btex $50$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3 x+2}$ etex); + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5 x^{2}-1}$ etex); + plus;barre; + plus; + valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex); + moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + +endTableau; + + +beginTableau(32) 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 $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); +beginTableau(33) 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 $0$ @@ -423,28 +462,30 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(31) 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; +beginTableau(34) 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(33) newLigneVariables(btex $x$ etex);val(btex $1$ etex); +beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $1$ etex); val(btex $+\infty $ etex); 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(34) 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; +beginTableau(37) 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(35) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $\pi $ etex); val(btex $2 \pi $ etex); @@ -454,35 +495,39 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex) valPos(btex $1$ etex,1); endTableau; -beginTableau(36) 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; +beginTableau(39) 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; 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(37) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ 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; +beginTableau(40) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ 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; 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(38) 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; +beginTableau(41) 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 $\frac{3 \sqrt{3}}{4}$ etex,1);valPos(btex $ 1 $ etex,0.5);valPos(btex $0$ etex,0); endTableau; -beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $ -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ 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; +beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $ -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ 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 $\frac{3 \sqrt{3}}{4}$ etex,1);valPos(btex $ 1 $ etex,0.5);valPos(btex $0$ etex,0); endTableau; -beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-1$ etex); +beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-1$ etex); val(btex $0$ etex); val(btex $+\infty $ etex); @@ -491,7 +536,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);no etex,1);valPos(btex $-\infty$ etex,0); endTableau; - beginTableau(41) + beginTableau(44) newLigneVariables(btex $ {x}$ etex); val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex); val(btex $-1$ etex); @@ -533,7 +578,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex); endTableau; - beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); + beginTableau(45) 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 $-\left(e^{-4}\right)-1$ @@ -541,7 +586,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); +beginTableau(46) 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 $2$ @@ -549,7 +594,7 @@ valPos(btex $1$ etex,0); valPos(btex $2$ $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); endTableau; -beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +beginTableau(48) newLigneVariables(btex $x$ etex);val(btex $0$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -558,22 +603,25 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va etex,1);valPos(btex $0$ etex,0); endTableau; -beginTableau(46) 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; +beginTableau(49) 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(47) 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; +beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ 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 $\frac{1}{4}$ etex,1);valPos(btex $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0); endTableau; -beginTableau(48) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $e^{\frac{1}{2}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ 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; +beginTableau(51) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $\frac{1}{e^{\frac{-1}{2}}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ 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 $\frac{1}{4}$ etex,1);valPos(btex @@ -582,7 +630,7 @@ endTableau; -beginTableau(49) +beginTableau(52) 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); @@ -590,7 +638,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex); valBarre(btex 0 etex); endTableau; -beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-\left(\sqrt{2}\right)$ etex); val(btex $-1$ etex); val(btex $1$ etex); @@ -601,7 +649,7 @@ 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(51) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(54) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); @@ -610,7 +658,7 @@ 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);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(52) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(55) 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); @@ -630,7 +678,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);va valPos(btex $0$ etex,1); endTableau; -beginTableau(53) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(56) 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); @@ -650,7 +698,7 @@ valPos(btex $0$ etex,0.5);valPos(btex $1$ etex,1); endTableau; -beginTableau(54) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); +beginTableau(57) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex); val(btex $-1$ etex); val(btex $1$ etex); val(btex $4$ etex); @@ -661,7 +709,7 @@ 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);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(55) newLigneVariables(btex $t$ etex);val(btex $0$ etex); +beginTableau(58) 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); @@ -680,7 +728,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);va valPos(btex $0$ etex,1); endTableau; - beginTableau(56) + beginTableau(59) newLigneVariables(btex $ {x}$ etex); val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex); val(btex $\frac{7 \pi }{6}$ etex); @@ -704,8 +752,9 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f (x)}$ etex); endTableau; - beginTableau(57) 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; + beginTableau(60) 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 9ef0c59695b..13011cd3688 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -87,18 +87,18 @@ <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>}[21/08/2009 v4.04-h la machine a creer des tableaux de signes et variations] +<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[23/08/2009 v4.05 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">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/ -</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">http://www.</span><span class="comment"><span class="flyspell-incorrect">latex-project</span></span><span class="comment">.org/lppl/ +</span><span class="comment-delimiter">% </span><span class="comment">This work consists of </span><span class="comment"><span class="flyspell-duplicate">the</span></span><span class="comment"> files tablor.</span><span class="comment"><span class="flyspell-duplicate">sty</span></span><span class="comment">, tablor-xetex.sty, tablor.cfg, tablor.tex, </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"><span class="flyspell-incorrect">Cree</span></span><span class="comment"> 16 environnements : +<span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements : </span><span class="comment-delimiter">%% </span><span class="comment">tableau de signes de 2 facteurs affines </span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSa} </span><span class="comment-delimiter">% </span><span class="comment">TSa(-2,3,-1,5,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">); @@ -125,6 +125,12 @@ </span><span class="comment-delimiter">% </span><span class="comment">TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,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">{TV} </span><span class="comment-delimiter">%</span><span class="comment"> +</span><span class="comment-delimiter">% </span><span class="comment">tableau de variation avec liste de valeurs +</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVS} +</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">TVS</span></span><span class="comment">([1,2,3,4],[-1,-infinity,+infinity,2,9],[2],"f","x",</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">{TVS} +</span><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">tableau de variation avec zones interdites </span><span class="comment-delimiter">%</span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVZ} @@ -139,7 +145,7 @@ </span><span class="comment-delimiter">%%%</span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs intermediares et racines exactes </span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIex} -</span><span class="comment-delimiter">%</span><span class="comment">TVIex([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,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">TVIex([-1,+</span><span class="comment"><span class="flyspell-duplicate">infinity</span></span><span class="comment">],[-1],"f","x",x2/sqrt(x+1)-1,1,2,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">{TVIex} </span><span class="comment-delimiter">%%%</span><span class="comment"> </span><span class="comment-delimiter">%</span><span class="comment"> @@ -191,12 +197,12 @@ <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-incorrect">fancyvrb</span>} <span class="font-latex-sedate">\RequirePackage</span>{ifpdf} <span class="font-latex-sedate">\fvset</span>{gobble=0} -<span class="comment-delimiter">% </span><span class="comment">option xcas present +<span class="comment-delimiter">% </span><span class="comment">option xcas </span><span class="comment"><span class="flyspell-duplicate">present</span></span><span class="comment"> </span> <span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false} @@ -209,12 +215,12 @@ <span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix d'OS -</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{false} +</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>} <span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier exterieur pour la plateforme -</span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur +</span><span class="comment-delimiter">%% </span><span class="comment">et </span><span class="comment"><span class="flyspell-duplicate">l'editeur</span></span><span class="comment"> </span> <span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.cfg}} </span> @@ -346,7 +352,7 @@ S:=[]; if(trigo==t){ all_trig_solutions:=1; reset_solve_counter(-1,-1); -SS:=solve(factor(simplify(fp(x))),x); +<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ m:=0; @@ -369,11 +375,11 @@ S:=solve(fp(x),x); 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); - ftantque; + <span class="flyspell-duplicate">ftantque</span>; @@ -393,10 +399,10 @@ Z:=sort([op(set[op(Z)])]); 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))> evalf(limit(f(x),x=Z[1],-1)); - kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); + kz:=evalf(limit(f(x),x=Z[nz-1],-1))> 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(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)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ @@ -409,9 +415,9 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0; if(ksp==1){"plus;"}else{"moins;"} }; } -lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; +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">; "} -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)==-infinity; 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)))}+"$</span> etex,"}+ @@ -430,67 +436,67 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity; "}}} }; } -lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; +lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; -lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ +lf:=if(member(Z[nz-1],F)==0){"valPos(<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);"}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);nonDefBarre;"}}; + 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> <span class="flyspell-duplicate">etex</span>,"+ + if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; -MetaLfc:=if(ftt==2){if(nz>2){" +<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(<span class="flyspell-duplicate">nz</span>>2){" -beginTableau("+nmr+")"+ +<span class="flyspell-duplicate">beginTableau</span>("+nmr+")"+ l0+lsi+lsp+lsf+" endTableau; ";}else{ -intro+"beginTableau("+nmr+")"+ +intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } -}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ +}<span class="flyspell-duplicate">else</span>{ if(<span class="flyspell-duplicate">ftt</span>==0){if(nz>2){"beginTableau("+nmr+")"+ l0+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ -lf +<span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ l0+ -lsi+lsp+lsf+ +<span class="flyspell-duplicate">lsi</span>+lsp+lsf+ li+ lp+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{"beginTableau("+nmr+")"+ l0+ lsi+lsf+ li+ -lf +<span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";} }} @@ -623,7 +629,7 @@ 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">$"+ +lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ @@ -644,7 +650,7 @@ endTableau; intro+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } @@ -669,7 +675,7 @@ if(nz>2){"beginTableau("+nmr+")"+ lsi+lsp+lsf+ li+ lp+ -lf +<span class="flyspell-duplicate">lf</span> +" endTableau; @@ -769,7 +775,7 @@ S:=solve(fp(x),x); Kk:=(kk) and kK; if(Kk==1){Z:=append(Z,simplify(S[j]))}; } - fpour + <span class="flyspell-duplicate">fpour</span> fsi; @@ -810,7 +816,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; -lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; +lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}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">; "}} @@ -835,7 +841,7 @@ if(nz>2){ +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"} }//fsi Zr=Imin else{ - if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ + if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"<span class="flyspell-duplicate">finNonDefStrict</span>;"}+"limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))} +"$</span> etex,"+if(krp==1){ "1);"}else{"0);"} @@ -1035,7 +1041,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; "} -lm0:=limit(f(x),x=Z[0],1)==-infinity; +lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">; li:=lvic+nom+"}$</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,"}+ @@ -1055,7 +1061,7 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity; 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">$"+ +lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ @@ -1078,7 +1084,7 @@ endTableau; "; } -}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ +}else{ if(ftt==0){if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ lp+ @@ -1159,7 +1165,7 @@ S:=[]; if(trigo==t){ all_trig_solutions:=1; reset_solve_counter(-1,-1); -SS:=solve(factor(simplify(fp(x))),x); +<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ m:=0; @@ -1314,7 +1320,7 @@ 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(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+ if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ @@ -1354,7 +1360,7 @@ lf +" endTableau; ";}}else{ -if(nz>2){"beginTableau("+nmr+")"+ +if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ lsi+lsp+lsf+ li+ @@ -1515,7 +1521,7 @@ if(evalf(sign(fp(10^</span><span class="font-latex-superscript"><span class="fon if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ 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); ksp:=evalf(fp(Z[r]+0.01))>0; TestL:=(abs(LL[r])==abs(LL[r+1])); - lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ + lsp:=lsp+if(member(Z[r],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(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{" "}; }} else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>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); @@ -2500,14 +2506,14 @@ for(p:=0;p<=n-1;p++){lp:=""; pour t de 0 jusque nz-2 faire lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)>0){"plus;"}else{"moins;"}+ if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"} - fpour + </span><span class="font-latex-math"><span class="flyspell-duplicate">fpour</span></span><span class="font-latex-math"> MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); +</span><span class="font-latex-math"><span class="flyspell-duplicate">newLigneVariables</span></span><span class="font-latex-math">(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+ li + @@ -2551,12 +2557,12 @@ fclose(sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSigna.cxx} -TSa(a,b,c,d,nmr):={ +<span class="flyspell-duplicate">TSa</span>(a,b,c,d,nmr):={ zA:=solve(a*x+b=0,x)[0]; zB:=solve(c*x+d=0,x)[0]; zmin:=min(zA,zB); zmax:=max(zA,zB); - Meta:= " + <span class="flyspell-duplicate">Meta</span>:= " beginTableau("+nmr+") newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex); @@ -2573,7 +2579,7 @@ val(btex <span class="font-latex-math">$+\\infty$</span> etex); + if(c>0){"moins"}else{"plus"}+";"+ if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi} - else{si c>0 alors "moins;"; sinon "plus;"; fsi}+ + else{si c>0 alors "moins;"; sinon "plus;"; <span class="flyspell-duplicate">fsi</span>}+ if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+ if(c>0){"plus;"}else{"moins;"} @@ -2590,7 +2596,7 @@ endTableau; sortie:=fopen("XCasmpfc.mp"); -fprint(sortie,Unquoted,Meta); +</span><span class="font-latex-math"><span class="flyspell-duplicate">fprint</span></span><span class="font-latex-math">(sortie,Unquoted,Meta); fclose(sortie); @@ -2609,9 +2615,9 @@ 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.<span class="flyspell-duplicate">cxx</span>} -TSc(g,D,F,trigo,nmr):={ +<span class="flyspell-duplicate">TSc</span>(g,D,F,trigo,nmr):={ f:=unapply(g,x); mini:=D[0]; maxi:=D[1];lm:=" "; Z:=mini,maxi; @@ -2620,16 +2626,16 @@ S:=[]; if(trigo==t){ -all_trig_solutions:=1; -reset_solve_counter(-1,-1); +<span class="flyspell-duplicate">all</span>_trig_solutions:=1; +<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1); SS:=solve(factor(simplify(f(x))),x); -ns:=size(SS); +<span class="flyspell-duplicate">ns</span>:=size(SS); for(j:=0;j<ns;j++){ m:=0; -while(evalf(simplify(subst(SS[j],n_1=m)))<=evalf(maxi)){ +<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[j],n_1=m)))<=evalf(maxi)){ S:=concat(S,simplify(subst(SS[j],n_1=m)));m:=m+1; };m:=-1; -while(evalf(subst(SS[j],n_1=m))>=evalf(mini)){ +<span class="flyspell-duplicate">while</span>(evalf(subst(SS[j],n_1=m))>=evalf(mini)){ S:=concat(S,simplify(subst(SS[j],n_1=m)));m:=m-1; } } @@ -2645,25 +2651,25 @@ S:=solve(f(x),x); if(size(S)==0 and size(F)==0){ l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; li:=if(member(mini,F)!=0){"nonDefBarre;"}else{if(mini!=-infinity and f(mini)==0){" - valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" + valBarre(btex 0 etex);"}else{" "}}+ if(mini!=-infinity or maxi!=+infinity){if(f((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}}else{if(f(0.3145274774464545777744)>0){"plus;"}else{"moins;"}}; -<span class="flyspell-duplicate">lf</span>:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0){" +<span class="flyspell-duplicate">lf</span>:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){" valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}}; }else{ if(size(S!=0)){pour j de 0 jusque size(S)-1 faire if(S[j]>mini and S[j]<maxi){Z:=Z,simplify(S[j])}; - fpour} + <span class="flyspell-duplicate">fpour</span>} Z:=concat([Z],F); Z:=sort([op(set[op(Z)])]); -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=size(Z); l0:=" ";li:=" ";lr:=" "; -if(nz==2){l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; +if(nz==2){l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);"; li:=if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{if(member(mini,F)==0){" "}else{"nonDefBarre;"}}+ @@ -2673,9 +2679,9 @@ lf:=if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }; -}else{ +}<span class="flyspell-duplicate">else</span>{ l0:="val(btex <span class="font-latex-math">$"+latex(Z[0])+"$</span> etex);";li:=" "; -pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); +pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>); "; <span class="flyspell-duplicate">fpour</span>; @@ -2692,7 +2698,7 @@ if(f((Z[r+1]-1))>0){"plus;"}else{"moins;"} if(member(Z[r+1],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }}else{" "}; -lf:=if(f(Z[nz-2]+0.1)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"<span class="flyspell-duplicate">valBarre</span>(btex 0 etex);"}else{if(member(maxi,F)==0){" +lf:=if(f(Z[nz-2]+0.1)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }; } @@ -2704,7 +2710,7 @@ lf:=if(f(Z[nz-2]+0.1)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi <span class="flyspell-duplicate">MetaLfc</span>:=" beginTableau("+nmr+") -<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\displaystyle {x}$</span> etex); +newLigneVariables(btex <span class="font-latex-math">$\\displaystyle {x}$</span> <span class="flyspell-duplicate">etex</span>); "+l0+lsic+latex(f(x))+"}<span class="font-latex-math">$ etex);"+ li+lm+lf +" @@ -2717,8 +2723,8 @@ endTableau; sortie:=fopen("XCasmpfc.mp"); -fprint(sortie,Unquoted,MetaLfc); -</span><span class="font-latex-math"><span class="flyspell-duplicate">fclose</span></span><span class="font-latex-math">(sortie); +</span><span class="font-latex-math"><span class="flyspell-duplicate">fprint</span></span><span class="font-latex-math">(sortie,Unquoted,MetaLfc); +fclose(sortie); }:; </span><span class="font-latex-sedate"><span class="keyword"><span class="font-latex-math">\end</span></span></span><span class="function-name"><span class="font-latex-math">{VerbatimOut}</span></span><span class="font-latex-math"> @@ -2730,8 +2736,131 @@ fprint(sortie,Unquoted,MetaLfc); %%$</span> + + + + + + +<span class="comment-delimiter">%%%%</span><span class="comment"> +</span><span class="comment-delimiter">%%%</span><span class="comment"> +</span><span class="comment-delimiter">%%% </span><span class="comment">Pour des tableaux de variations simples sans fonctions +</span><span class="comment-delimiter">%%%</span><span class="comment"> +</span><span class="comment-delimiter">%%%</span><span class="comment"> +</span> + + +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTVS</span>.<span class="flyspell-duplicate">cxx</span>} +<span class="flyspell-duplicate">TVS</span>(La,Lo,F,nomf,nomv,<span class="flyspell-duplicate">nmr</span>):={ + +na:=size(La); +f:=F; +if(member(La[0],F)){f:=f[1..size(f)-1]}; +if(member(La[na-1],F)){f:=f[0..size(f)-2]}; +Z:=sort(concat(La,f)); +<span class="flyspell-duplicate">Zo</span>:=sort([op(set[op(Z)])]); +nz:=size(Z); +nzo:=size(<span class="flyspell-duplicate">Zo</span>); + + +k0:= evalf(Lo[0])> evalf(Lo[1]); +<span class="flyspell-duplicate">kz</span>:=evalf(Lo[nz-1])> evalf(Lo[nz-2]); + + +l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" "; + for(m:=0;m<=<span class="flyspell-duplicate">nzo</span>-1;m++){l0:=l0+"val(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+latex(Zo[m])+"$</span> <span class="flyspell-duplicate">etex</span>);"} + +li:=lvic+nomf+"}<span class="font-latex-math">$ etex);"+ + if(member(Z[0],F)==0){"valPos(btex $</span>"+latex(Lo[0])+"<span class="font-latex-math">$ etex,"} + else{"nonDefBarre;limDroite(btex $</span>"+latex(Lo[0])+"<span class="font-latex-math">$ etex,"}+ + if(k0==1){"1"}else{"0"}+ + ");"; + + if(nz>2){ for(r:=1; r<=nz-2;r++){ + krm:=evalf(Lo[r-1])< evalf(Lo[r]); + krp:=evalf(Lo[r])> evalf(Lo[r+1]) ; + + lp:=lp+if(Z[r]==Z[r+1]){ + "limGauche(btex$</span>"+latex(Lo[r])+"<span class="font-latex-math">$</span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">,"+ + if(</span><span class="font-latex-math"><span class="flyspell-duplicate">krm</span></span><span class="font-latex-math">==1){"1);"} + else{"0);"} + }// fin if zr=zr+1 + else{ + if(Z[r]==Z[r-1]){ + "nonDefBarre;</span><span class="font-latex-math"><span class="flyspell-duplicate">limDroite</span></span><span class="font-latex-math">(btex$</span>"+latex(Lo[r])+"<span class="font-latex-math">$</span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">,"+ + if(</span><span class="font-latex-math"><span class="flyspell-duplicate">krm</span></span><span class="font-latex-math">==1){"1);"} + else{"0);"} + }//fin if zr=zr-1 + else{ + "valPos(btex $</span>"+latex(Lo[r])+"<span class="font-latex-math">$etex,"+ + if(krp==1){"1);"}else{"0);"} +}//fin else zr=</span><span class="font-latex-math"><span class="flyspell-incorrect">zr</span></span><span class="font-latex-math">-1 +}//fin else zr=zr+1 +}//fin for +}//fin de if nz>2 + + + +</span><span class="font-latex-math"><span class="flyspell-duplicate">lf</span></span><span class="font-latex-math">:=if(member(Z[nz-1],F)==0){"valPos(btex $</span>"+latex(Lo[nz-1])+"<span class="font-latex-math">$ etex,"+ + if(kz==1){"1);"}else{"0);"}} + else{"limGauche(btex $</span>"+latex(Lo[nz-1])+"<span class="font-latex-math">$ etex,"+ + if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; + + +</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:= + + if(nz>2){"beginTableau("+nmr+")"+ + l0+ +li+ +lp+ +</span><span class="font-latex-math"><span class="flyspell-duplicate">lf</span></span><span class="font-latex-math"> ++" +endTableau; + +";}else{"beginTableau("+nmr+")"+ + l0+ +li+ +lf ++" +endTableau; + +";} + +//return(MetaLfc); + +sortie:=fopen("XCasmpfc.mp"); +fprint(sortie,Unquoted,MetaLfc); +fclose(sortie); + + +}:; + +</span><span class="font-latex-sedate"><span class="keyword"><span class="font-latex-math">\end</span></span></span><span class="function-name"><span class="font-latex-math">{VerbatimOut}</span></span><span class="font-latex-math"> + +%%$</span> + + + + + + + + + + + + + + + + + + + + + <span class="comment-delimiter">%%</span><span class="comment"> -</span><span class="comment-delimiter">%% </span><span class="comment">traitement des fichiers produits par giac/xcas +</span><span class="comment-delimiter">%% </span><span class="comment">traitement des fichiers produits par giac/</span><span class="comment"><span class="flyspell-duplicate">xcas</span></span><span class="comment"> </span><span class="comment-delimiter">%%</span><span class="comment"> </span><span class="comment-delimiter">%%</span><span class="comment"> </span> @@ -2749,28 +2878,28 @@ fprint(sortie,Unquoted,MetaLfc); </span> <span class="comment">% l'image du tableau </span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="flyspell-duplicate">mp</span>} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> enteteMP.cfg >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} - <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} + <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.<span class="flyspell-duplicate">mp</span>} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -jobname=<span class="font-latex-sedate">\nomtravail</span>.Tab <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} - <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#1.mp} + <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#1.<span class="flyspell-duplicate">mp</span>} }<span class="comment">% </span> {<span class="comment">% sinon, si le tableau est absent, alerte. </span> <span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}{}{<span class="comment">% </span> <span class="font-latex-sedate">\PackageError</span>{tablor}{Tableau absent non reconstituable.}{Pour compiler il faut, soit les fichiers de tableaux, soit le fichier <span class="font-latex-sedate">\nomtravail</span>.Tab.mp, soit disposer de - XCas.}}} + <span class="flyspell-duplicate">XCas</span>.}}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span> <span class="font-latex-sedate">\includegraphics</span>[scale=<span class="font-latex-sedate">\echelle</span>]{<span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="font-latex-sedate">\theTVn</span>} <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span> -<span class="font-latex-sedate">\stepcounter</span>{TVn} +<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>} } <span class="comment-delimiter">%%</span><span class="comment"> </span><span class="comment-delimiter">%% </span><span class="comment">traitement des fichiers produits par giac/xcas avec possibilite -</span><span class="comment-delimiter">%% </span><span class="comment">de modifier le fichier metapost (environnement etoile)) +</span><span class="comment-delimiter">%% </span><span class="comment">de modifier le fichier metapost (environnement </span><span class="comment"><span class="flyspell-incorrect">etoile</span></span><span class="comment">)) </span><span class="comment-delimiter">%%</span><span class="comment"> </span> @@ -2804,7 +2933,7 @@ fprint(sortie,Unquoted,MetaLfc); <span class="font-latex-sedate">\includegraphics</span>[scale=<span class="font-latex-sedate">\echelle</span>]{<span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="font-latex-sedate">\theTVn</span>} <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span> <span class="font-latex-sedate">\ech</span>{1} -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVnbis</span></span><span class="variable-name">}</span> <span class="comment">% Restauration du compteur TVn +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVnbis</span></span><span class="variable-name">}</span> <span class="comment">% Restauration du compteur </span><span class="comment"><span class="flyspell-duplicate">TVn</span></span><span class="comment"> </span>} @@ -2826,9 +2955,9 @@ fprint(sortie,Unquoted,MetaLfc); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasa.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); -read("XcasTabSigna.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTabSigna.cxx"); read("XCasa.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2850,7 +2979,7 @@ read("XCasa.user"); maple_mode(0); read("config.cxx"); read("XcasTabSignQ.cxx"); -read("XCasQ.user"); +<span class="flyspell-duplicate">read</span>("XCasQ.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSq}</span><span class="comment">% @@ -2861,19 +2990,19 @@ read("XCasQ.user"); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSq*}</span>[1]<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasQ.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{Q}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasL.giac} maple_mode(0); -read("config.cxx"); +<span class="flyspell-duplicate">read</span>("config.cxx"); read("XcasTabSignL.cxx"); -read("XCasL.user"); +<span class="flyspell-duplicate">read</span>("XCasL.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TS}</span><span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TS</span></span><span class="function-name">}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasL.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{L}} @@ -2886,9 +3015,9 @@ read("XCasL.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTSc.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); -read("XcasTSc.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTSc.cxx"); read("XCasTSc.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2897,33 +3026,33 @@ read("XCasTSc.user"); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc*}</span>[1]<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTSc.user}} -{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TSc}} +{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TSc</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTSc.user}} -{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TSc}} +{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TSc</span>}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTV.giac} maple_mode(0); read("config.cxx"); -read("XcasTV.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTV.cxx"); read("XCasTV.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTV.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate">\dresse</span>{TV}} +<span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TV</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV*}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTV.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TV}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TV</span>}} @@ -2934,20 +3063,20 @@ read("XCasTV.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVP.giac} maple_mode(0); read("config.cxx"); -read("XcasTVP.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTVP.cxx"); read("XCasTVP.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVP}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVP.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate">\dresse</span>{TVP}} +<span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVP</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVP*}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVP.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVP}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVP</span>}} @@ -2960,21 +3089,21 @@ read("XCasTVP.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac} maple_mode(0); -read("config.cxx"); +<span class="flyspell-duplicate">read</span>("config.cxx"); read("XcasTVZ.cxx"); read("XCasTVZ.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVZ}</span><span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVZ</span></span><span class="function-name">}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVZ.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate">\dresse</span>{TVZ}} +<span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVZ</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVZ*}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> <span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVZ.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVZ}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVZ</span>}} @@ -2988,20 +3117,20 @@ read("XCasTVZ.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVapp.giac} maple_mode(0); read("config.cxx"); -read("XcasTVapp.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTVapp.cxx"); read("XCasTVapp.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVapp}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVapp.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> -<span class="font-latex-sedate">\dresse</span>{TVapp}} +<span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVapp</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVapp*}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVapp.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVapp}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVapp</span>}} @@ -3014,7 +3143,7 @@ read("XCasTVapp.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVI.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); read("XcasTVI.cxx"); read("XCasTVI.user"); @@ -3022,23 +3151,23 @@ read("XCasTVI.user"); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVI.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TVI}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVI</span>}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI*}</span>[1]<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVI</span></span><span class="function-name">*}</span>[1]<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> <span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVI.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVI}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVI</span>}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIex.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); -read("XcasTVIex.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTVIex.cxx"); read("XCasTVIex.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -3047,11 +3176,11 @@ read("XCasTVIex.user"); </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TVIex}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIex*}</span>[1]<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVIex</span></span><span class="function-name">*}</span>[1]<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIex.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVIex}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVIex</span>}} @@ -3062,7 +3191,7 @@ read("XCasTVIex.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIapp.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); read("XcasTVIapp.cxx"); read("XCasTVIapp.user"); @@ -3070,23 +3199,23 @@ read("XCasTVIapp.user"); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIapp}</span><span class="comment">% </span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIapp.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TVIapp}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVIapp</span>}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIapp*}</span>[1]<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVIapp</span></span><span class="function-name">*}</span>[1]<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> <span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIapp.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVIapp}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVIapp</span>}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVPC.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("config.cxx"); -read("XcasTVPC.cxx"); +<span class="flyspell-duplicate">read</span>("XcasTVPC.cxx"); read("XCasTVPC.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -3095,15 +3224,42 @@ read("XCasTVPC.user"); </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> <span class="font-latex-sedate">\dresse</span>{TVPC}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVPC*}</span>[1]{<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVPC</span></span><span class="function-name">*}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> -<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> <span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVPC.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVPC}} +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVPC</span>}} + + + + + + + + +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVS.giac} +maple_mode(0); +<span class="flyspell-duplicate">read</span>("config.cxx"); +read("XcasTVS.cxx"); +<span class="flyspell-duplicate">read</span>("XCasTVS.user"); +<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> + +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVS</span></span><span class="function-name">}</span><span class="comment">% +</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVS.user}}<span class="comment">% +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> +<span class="font-latex-sedate">\dresse</span>{TVS}} + +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVS*}</span>[1]{<span class="comment">% +</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span> +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span> +<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVS.user}}<span class="comment">% +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVS</span>}} + + @@ -3114,14 +3270,14 @@ read("XCasTVPC.user"); <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires </span> -<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp} +<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="flyspell-duplicate">mp</span>} } <span class="comment-delimiter">%%</span><span class="comment"> -</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -> enjoy :) +</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -> </span><span class="comment"><span class="flyspell-incorrect">enjoy</span></span><span class="comment"> :) </span></pre> </body> </html> diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf Binary files differindex 14d44869295..103cd977076 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf +++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex index 4b876c73ac9..d064952711a 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.tex +++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex @@ -97,7 +97,7 @@ 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{21 août 2009 - Version 4.04-h} +\date{23 août 2009 - Version 4.05} @@ -192,6 +192,9 @@ Des bugs dans TVapp et TVIapp corrigés (version 4.04-c... puis 4.04-d). Bug dans TVc (version 4.04-h) +Nouvel environnement TVS pour des tableaux de variations de fonctions +dont on ne connait qu'une liste d'images (version 4.05). + \subsection{Professor.sty} @@ -1010,6 +1013,54 @@ TV([-pi,pi],[],"g","t",sin(x)+1/2,1,t,\tv) +\subsection{Tableaux dont on ne connaît qu'une liste d'images} + +Au début du cours de Seconde, il peut être utile de créer des tableaux à +partir de liste d'images. + +On rentre la liste des abscisses, la liste des ordonnées avec +éventuellement les limites à gauche et à droite des valeurs interdites, +les valeurs interdites éventuelles, le nom de la fonction et le nom de +la variable. + +\subsubsection{Sans valeur interdite} + +\begin{lstlisting} +\begin{TVS} +TVS([1,2,3,4],[-1,5,2,9],[],"f","x",\tv) +\end{TVS} +\end{lstlisting} + +\begin{TVS} +TVS([1,2,3,4],[-1,5,2,9],[],"f","x",\tv) +\end{TVS} + +\subsubsection{Avec valeurs interdites} + + +\begin{lstlisting} + \begin{TVS} +TVS([1,2,3,4],[-1,-infinity,+infinity,2,9],[2],"f","x",\tv) +\end{TVS} +\end{lstlisting} + +\begin{TVS} +TVS([1,2,3,4],[-1,-infinity,+infinity,2,9],[2],"f","x",\tv) +\end{TVS} + + +\begin{lstlisting} + \begin{TVS} +TVS([1,2,3,4],[-1,-infinity,+infinity,2,+infinity],[1,2,4],"f","x",\tv) +\end{TVS} +\end{lstlisting} + + + +\begin{TVS} +TVS([1,2,3,4],[-1,-infinity,+infinity,2,+infinity],[1,2,4],"f","x",\tv) +\end{TVS} + \subsection{Tableau de variation avec «~zone(s) interdite(s)~»} |