diff options
| author | Karl Berry <karl@freefriends.org> | 2008-05-25 01:07:41 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2008-05-25 01:07:41 +0000 |
| commit | 742b94f2b9f9e1ac6251bb36a49b421c628333da (patch) | |
| tree | 1dcc9f89d1d531b5310f987b5fa39241d06cc5f4 /Master/texmf-dist/doc/latex/tablor | |
| parent | 14ef1a1bfbf2eb04c32ab038c4916e18d485156e (diff) | |
tablor update (23may08)
git-svn-id: svn://tug.org/texlive/trunk@8337 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor')
47 files changed, 893 insertions, 840 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp b/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp index 278ebac4b18..584e919da21 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp +++ b/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp @@ -1,20 +1,20 @@ beginTableau(105) newLigneVariables(btex $ {x}$ etex); - val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); + val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex); val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); val(btex $\frac{\sqrt{5}}{5} $ etex); val(btex $50$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex); moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +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; diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 index 5a28e4ab744..788a6491872 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -62 209 1 %%HiResBoundingBox: -0.25 -61.02197 208.59824 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 a1:8 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1 index 667dbd80145..3643b0070cd 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -87 220 1 %%HiResBoundingBox: -0.25 -86.98239 219.31812 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10 index 2adde116c0b..e3aa3ea4e7b 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -85 285 1 %%HiResBoundingBox: -0.25 -84.44815 284.66049 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 78:8 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105 index 87c5ff89f13..0be2e497296 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105 @@ -1,226 +1,220 @@ %!PS -%%BoundingBox: -1 -91 330 1 -%%HiResBoundingBox: -0.25 -90.64444 329.14682 0.25 +%%BoundingBox: -1 -90 330 1 +%%HiResBoundingBox: -0.25 -89.40414 329.88281 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 78:8 %*Font: fourier-ms 9.16562 9.96265 a1:8000000008 -%*Font: futr8r 9.16562 9.96265 30:f400000010000d43ac +%*Font: futr8r 9.16562 9.96265 28:c0f400020010000d42 %*Font: cmsy10 9.96265 9.96265 00:8 %*Font: cmr10 9.96265 9.96265 2b:8 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idtransform setlinewidth pop [] 0 setdash newpath 0 -19.3222 moveto -328.89682 -19.3222 lineto stroke +329.63281 -19.3222 lineto stroke newpath 0 -41.26071 moveto -328.89682 -41.26071 lineto stroke +329.63281 -41.26071 lineto stroke newpath 0 -65.84082 moveto -328.89682 -65.84082 lineto stroke +329.63281 -65.84082 lineto stroke newpath 0 0 moveto -328.89682 0 lineto stroke -newpath 0 -90.39444 moveto -328.89682 -90.39444 lineto stroke +329.63281 0 lineto stroke +newpath 0 -89.15414 moveto +329.63281 -89.15414 lineto stroke 0.5 0 dtransform exch truncate exch idtransform pop setlinewidth newpath 0 0 moveto -0 -90.39444 lineto stroke -newpath 328.89682 0 moveto -328.89682 -90.39444 lineto stroke +0 -89.15414 lineto stroke +newpath 329.63281 0 moveto +329.63281 -89.15414 lineto stroke showpage %%EOF diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.11 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.11 index d697b5d8a37..a71564d6847 100644 --- 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b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43 index d4da18877d6..65b76cf280d 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -87 251 1 %%HiResBoundingBox: -0.25 -86.98239 250.91962 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 index 943f3bb8ad1..b1074ff88b2 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -89 501 1 %%HiResBoundingBox: -0.25 -88.0506 500.10811 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:82802 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 index 533302fa44a..9ad6a9d38aa 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -87 511 1 %%HiResBoundingBox: -0.25 -86.98239 510.43356 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7 index fa9e3d76940..a9cb18039ca 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -87 514 1 %%HiResBoundingBox: -0.25 -86.98239 513.62393 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9 index 82b925c17bf..bad4af9404e 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9 +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9 @@ -2,7 +2,7 @@ %%BoundingBox: -1 -87 357 1 %%HiResBoundingBox: -0.25 -86.98239 356.87201 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.18:2227 +%%CreationDate: 2008.05.22:1611 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 67:80004 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 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 c269ad4ae0d..162928507bb 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp @@ -12,7 +12,7 @@ beginTableau(0) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); val(btex $0$ etex); val(btex $7$ etex); -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $25$ etex,1); valPos(btex $0$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $25$ etex,1); valPos(btex $0$ etex,0); valPos(btex $49$ etex,1); endTableau; @@ -22,7 +22,7 @@ val(btex $0$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); valPos(btex $0$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); valPos(btex $0$ etex,0); valPos(btex $\mbox{+}\infty $ etex,1); endTableau; @@ -43,7 +43,7 @@ val(btex $1$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {g}}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);limGauche(btex @@ -58,7 +58,7 @@ val(btex $1$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); endTableau; beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); @@ -70,13 +70,13 @@ val(btex $6$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\mbox{ln}\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\mbox{ln}\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); endTableau; beginTableau(6) 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 $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $ 10 $ etex,0.5); @@ -86,7 +86,7 @@ endTableau; beginTableau(7) 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 $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $0$ @@ -101,7 +101,7 @@ val(btex $ 0.584635$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {g}}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $ -2.818394$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $ -2.818394$ etex,1);valPos(btex $ -2.944288$ etex,0); valPos(btex $\mbox{+}\infty $ etex,1); @@ -113,9 +113,10 @@ endTableau; val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex); val(btex $5$etex); val(btex $+\infty$ etex); - newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-2x+3}}$ etex);plus;valBarre(btex 0 etex);moins;barre;moins; -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; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2x+3}$ etex);plus;valBarre(btex 0 etex);moins;barre;moins; +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(11) newLigneVariables(btex $ {x}$ etex); @@ -125,7 +126,7 @@ val(btex $1$ etex); val(btex $\sqrt{2}$ etex); val(btex $\frac{3}{2}$ etex); val(btex $\mbox{+}\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex); plus;barre; plus;barre; plus;barre; @@ -133,35 +134,35 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox plus;valBarre(btex 0 etex);moins; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-1}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}\mbox{+}1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}1}$ etex); plus;barre; plus;barre; plus;barre; plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ etex); moins;barre; moins;barre; moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-2}$ etex); plus; valBarre(btex 0 etex);moins;barre; moins;barre; moins; valBarre(btex 0 etex);plus;barre;plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex); moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins; endTableau; @@ -170,14 +171,14 @@ endTableau; newLigneVariables(btex $ {x}$ etex); val(btex $-15$ etex);val(btex $-10$ etex); val(btex $10$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-10}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex); moins;barre;moins; valBarre(btex 0 etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ etex); moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex); plus;valBarre(btex 0 etex); moins; valBarre(btex 0 etex); endTableau; @@ -191,33 +192,33 @@ val(btex $\frac{3}{2}$ etex); val(btex $2$ etex); val(btex $4$ etex); val(btex $\mbox{+}\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex); plus;barre; plus;barre; plus; valBarre(btex 0 etex);moins;barre; moins;barre;moins; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(4\cdot \mbox{x}\right)\mbox{+}5}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(4\cdot \mbox{x}\right)\mbox{+}5}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins;barre; moins;barre; moins;barre;moins; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-16}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}-16}$ etex); plus; valBarre(btex 0 etex);moins;barre; moins;barre; moins;barre; moins;valBarre(btex 0 etex);plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-2}$ etex); moins;barre; moins;barre; moins;barre; moins; valBarre(btex 0 etex);plus;barre;plus; - newLigneSignes(btex $\hbox{ Signe de}\atop{{\displaystyle Q(x)}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus; endTableau; @@ -226,13 +227,13 @@ beginTableau(14) newLigneVariables(btex $ {x}$ etex); val(btex $\mbox{-}\infty $ etex);val(btex $-10$ etex); val(btex $10$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-10}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-10}$ etex); moins;barre;moins; valBarre(btex 0 etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}10}$ etex); moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe de}\atop{{\displaystyle Q(x)}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); plus;nonDefBarre; moins; valBarre(btex 0 etex); endTableau; @@ -243,34 +244,34 @@ beginTableau(15) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $-5$ etex); val(btex $10$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x}-10)\cdot (\mbox{x}\mbox{+}5)}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}5)}$ etex); plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex); endTableau; beginTableau(105) newLigneVariables(btex $ {x}$ etex); - val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); + val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex); val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); val(btex $\frac{\sqrt{5}}{5} $ etex); val(btex $50$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex); moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +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(16) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); @@ -278,7 +279,7 @@ endTableau; beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); @@ -286,7 +287,7 @@ endTableau; beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); endTableau; @@ -294,13 +295,13 @@ beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $1$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0); endTableau; beginTableau(21) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); 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); @@ -311,7 +312,7 @@ val(btex $\pi $ etex); val(btex $2\cdot \pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$ etex,0); valPos(btex $1$ etex,1); endTableau; @@ -319,13 +320,13 @@ endTableau; beginTableau(23) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle h'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {h}}$ etex); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle h}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1); endTableau; beginTableau(24) 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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3}{4} \times \sqrt{3}$ etex,1);valPos(btex $ 1 $ etex,0.5);valPos(btex $0$ etex,0); @@ -336,7 +337,7 @@ val(btex $0$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $0$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0); endTableau; @@ -349,7 +350,7 @@ val(btex $\frac{1}{2} \times \sqrt{5}\mbox{+}\frac{-3}{2}$ etex); val(btex $1$ etex); val(btex $\frac{3}{2}$ etex); val(btex $\mbox{+}\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2\cdot \mbox{x}\right)\mbox{+}3}$ etex); plus;barre; plus;barre; plus;barre; @@ -357,35 +358,35 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox plus;valBarre(btex 0 etex);moins; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}-1}$ etex); moins;barre; moins;barre; moins;barre; moins; valBarre(btex 0 etex);plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \mbox{x}\mbox{+}1}$ etex); moins;barre; moins; valBarre(btex 0 etex);plus;barre; plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}\mbox{+}3\cdot \mbox{x}\mbox{+}1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x})^{2}\mbox{+}3\cdot \mbox{x}\mbox{+}1}$ etex); plus; valBarre(btex 0 etex);moins;barre; moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex); plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins; endTableau; beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ etex,0);valPos(btex $ 0 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); @@ -393,7 +394,7 @@ endTableau; beginTableau(28) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $1$ etex,0); valPos(btex $2$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); @@ -404,20 +405,20 @@ val(btex $1$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; valBarre(btex 0 etex);moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $0$ etex,0); valPos(btex $\mbox{ln}\left(\frac{(e^{1}\mbox{+}1)}{e^{1}}\right)$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $0$ etex,0); valPos(btex $\mbox{ln}\left(\frac{(e^{1}\mbox{+}1)}{e^{1}}\right)$ etex,1);valPos(btex $0$ etex,0); endTableau; beginTableau(31) 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); +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(32) 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 $\mbox{+}\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); +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); @@ -428,7 +429,7 @@ endTableau; beginTableau(33) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-10$ etex);val(btex $10$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x}-10)\cdot (\mbox{x}\mbox{+}10)}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (\mbox{x}-10)\cdot (\mbox{x}\mbox{+}10)}$ etex); valBarre(btex 0 etex);plus; valBarre(btex 0 etex); endTableau; @@ -441,7 +442,7 @@ val(btex $\sqrt{2}$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDef;finNonDef;moins;valBarre(btex 0 etex);plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); endTableau; beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); @@ -450,7 +451,7 @@ val(btex $1$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); endTableau; beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); @@ -462,14 +463,14 @@ val(btex $6$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); endTableau; beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); val(btex $\frac{2}{5}$ etex); val(btex $10$ etex); -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\frac{169}{2}$ etex,1); valPos(btex $\frac{58}{5}$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $\frac{169}{2}$ etex,1); valPos(btex $\frac{58}{5}$ etex,0); valPos(btex $242$ etex,1); endTableau; @@ -479,7 +480,7 @@ val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex); val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex); val(btex $20$ etex); -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{-1681}{243}$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{-1681}{243}$ etex,1);valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{-1681}{243}$ etex,0); valPos(btex $22033$ etex,1); @@ -490,7 +491,7 @@ val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex); val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex); val(btex $20$ etex); -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $26047$ etex,1); valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{1681}{243}$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $26047$ etex,1); valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{1681}{243}$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{1681}{243}$ etex,1);valPos(btex $-22033$ etex,0); @@ -503,7 +504,7 @@ beginTableau(40) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-20$ etex);val(btex $ 1.942052$ etex); val(btex $20$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(3\cdot (\mbox{x})^{3}\right)\mbox{+}5\cdot (\mbox{x})^{2}-\left(2\cdot \mbox{x}\right)\mbox{+}7}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(3\cdot (\mbox{x})^{3}\right)\mbox{+}5\cdot (\mbox{x})^{2}-\left(2\cdot \mbox{x}\right)\mbox{+}7}$ etex); plus;valBarre(btex 0 etex); moins; endTableau; @@ -514,14 +515,14 @@ beginTableau(41) newLigneVariables(btex $\displaystyle {x}$ etex); val(btex $-20$ etex);val(btex $ 1.942052$ etex); val(btex $20$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot (\mbox{x})^{3}-\left(5\cdot (\mbox{x})^{2}\right)\mbox{+}2\cdot \mbox{x}-7}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot (\mbox{x})^{3}-\left(5\cdot (\mbox{x})^{2}\right)\mbox{+}2\cdot \mbox{x}-7}$ etex); moins;valBarre(btex 0 etex); plus; endTableau; beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $ 0.000000$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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); +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f'}$ etex); valPos(btex $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); @@ -532,7 +533,7 @@ val(btex $ 0.639232$ etex); val(btex $\mbox{+}\infty $ etex); newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $-\infty$ etex,0); valPos(btex $ 0.967397$ +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $-\infty$ etex,0); valPos(btex $ 0.967397$ etex,1);valPos(btex $-\infty$ etex,0); endTableau; @@ -540,21 +541,21 @@ endTableau; end beginTableau(105) newLigneVariables(btex $ {x}$ etex); - val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); + val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex); val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); val(btex $\frac{\sqrt{5}}{5} $ etex); val(btex $50$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex); moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +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; @@ -562,21 +563,21 @@ endTableau; end beginTableau(105) newLigneVariables(btex $ {x}$ etex); - val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); + val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex); val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); val(btex $\frac{\sqrt{5}}{5} $ etex); val(btex $50$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3\cdot \mbox{x}\mbox{+}2}$ etex); moins; valBarre(btex 0 etex);plus;barre; plus;barre;plus; -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5\cdot \mbox{x}^{2}-1}$ etex); plus;barre; plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; - newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); +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; diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html index 1653fd550a1..b1c45d52b74 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -49,6 +49,10 @@ /* font-latex-subscript-face */ font-size: 80%; } + .font-latex-superscript { + /* font-latex-superscript-face */ + font-size: 80%; + } .font-latex-warning { /* font-latex-warning-face */ color: #ff0000; @@ -63,10 +67,6 @@ color: #6495ed; font-weight: bold; } - .type { - /* font-lock-type-face */ - color: #9290ff; - } .variable-name { /* font-lock-variable-name-face */ color: #98fb98; @@ -87,13 +87,13 @@ <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>}[18/05/2008 v2.07 la machine à créer des tableaux de signes et variations] +<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[22/05/2008 v2.08 la machine à créer 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 </span><span class="comment"><span class="flyspell-incorrect">distributed</span></span><span class="comment"> and/or mofified under the conditions +</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.</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">http://www.latex-project.org/lppl/ </span><span class="comment-delimiter">% </span><span class="comment">This work consists of the files tablor.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> @@ -106,7 +106,7 @@ </span><span class="comment-delimiter">% </span><span class="comment">%%%%%% Pour des tableaux de plus de 2 facteurs </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">{TS} -</span><span class="comment-delimiter">% </span><span class="comment">TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[a,b],</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">); +</span><span class="comment-delimiter">% </span><span class="comment">TS("P",[-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[a,b],</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">{TS} </span><span class="comment-delimiter">%</span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="comment">pour les tableaux de signes avec quotient @@ -159,51 +159,51 @@ </span><span class="comment-delimiter">%% </span><span class="comment">ne l'avez pas de base </span> -<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">filecontents</span>} -<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">ifthen</span>} +<span class="font-latex-sedate">\RequirePackage</span>{filecontents} +<span class="font-latex-sedate">\RequirePackage</span>{ifthen} <span class="font-latex-sedate">\RequirePackage</span>{fancyvrb} <span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>} -<span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix </span><span class="comment"><span class="flyspell-incorrect">d'OS</span></span><span class="comment"> +<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}{<span class="flyspell-duplicate">false</span>} <span class="comment-delimiter">%% </span><span class="comment">Définit des commandes disque selon l'OS utilisé -</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">% +</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">% </span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{DEL } <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{TYPE } <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-incorrect">COPY</span> }}<span class="comment">% </span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{rm }<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{cat } - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cp</span> }} + <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{cp }} <span class="comment-delimiter">% </span><span class="comment">option xcas présent </span> -<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-duplicate">false</span>} -<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}} +<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false} +<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}} <span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span> -<span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier extérieur pour la </span><span class="comment"><span class="flyspell-incorrect">plateforme</span></span><span class="comment"> +<span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier extérieur pour la plateforme </span><span class="comment-delimiter">%% </span><span class="comment">et l'éditeur </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.</span><span class="constant"><span class="flyspell-duplicate">cfg</span></span><span class="constant">}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}} +<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.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}} </span> -<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via </span><span class="comment"><span class="flyspell-incorrect">pdflatex</span></span><span class="comment"> +<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via pdflatex </span> <span class="font-latex-sedate">\ifpdf</span> -<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{mps}{*}{} +<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{<span class="flyspell-incorrect">mps</span>}{*}{} <span class="font-latex-sedate">\fi</span> <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires @@ -218,7 +218,7 @@ <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp} -<span class="flyspell-duplicate">end</span> +end <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -245,7 +245,7 @@ <span class="comment-delimiter">%% </span><span class="comment">initialise les compteurs </span> -<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVn}</span> +<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVn</span></span><span class="function-name">}</span> <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>} <span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVnbis}</span> @@ -331,12 +331,11 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }} + if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }} if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ @@ -346,8 +345,7 @@ 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{"nomDefBarre; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; - li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ + li:=lvic+nom+"}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -502,12 +500,11 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ -if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ +if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}} + if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }}} @@ -526,8 +523,7 @@ lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else lm0:=limite(f(x),x=Z[0],1)==-infinity; - li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ + li:=lvic +nom+"}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -706,12 +702,11 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }} + if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }} if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ @@ -721,8 +716,7 @@ 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{"nomDefBarre; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; - li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ + li:=lvic+nom+"}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -882,12 +876,11 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))= k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; @@ -897,12 +890,12 @@ if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r 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;"}+ - if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "}; + 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:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); TestL:=(abs(LL[r])==abs(LL[r+1])); if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex $</span> <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} }} @@ -915,8 +908,7 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity; TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); - li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex); + li:=lvic+nom+"}$</span> etex); "+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "}; @@ -1114,12 +1106,11 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))= k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; @@ -1129,12 +1120,12 @@ if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r 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;"}+ - if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "}; + 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:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); TestL:=(abs(LL[r])==abs(LL[r+1])); if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex $</span> <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} }} @@ -1147,8 +1138,7 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity; TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); - li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de}\\atop{\\displaystyle {"+nom+"}}$</span> etex); + li:=lvic+nom+"}$</span> etex); "+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "}; @@ -1279,7 +1269,7 @@ fclose(sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.cxx} -TS(L,D,nmr):={ +TS(nomf,L,D,nmr):={ L:=apply(f->unapply(f,x),L) n:=size(L); Z:=NULL; @@ -1302,8 +1292,7 @@ fpour;}; nz:=size(Z); if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; - for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ + for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1316,10 +1305,8 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); - "+l0+li+ - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe du }\\atop{{\\displaystyle produit}}$</span> etex);"+ +newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); + "+l0+li+ lsic+nomf+"(x)}$</span> etex);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+ lf+ @@ -1339,8 +1326,7 @@ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){lp:=""; - li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ + li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1365,12 +1351,10 @@ pour t de 0 jusque nz-2 faire fpour MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); +newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+ li - + - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe du }\\atop{{\\displaystyle \</span><span class="type"><span class="font-latex-math">\rm</span></span><span class="font-latex-math"> produit}}$</span> etex);"+ + + lsic+nomf+"(x)}$</span> etex);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1450,8 +1434,7 @@ fpour;}; nz:=size(Z); if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; - for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ + for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1467,10 +1450,9 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); +newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+li+ - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe }\\atop{{\\displaystyle de "+nomf+"(x)}}$</span> etex);"+ + lsic+nomf+"(x)}$</span> etex);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ lf+ @@ -1495,8 +1477,7 @@ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){lp:=""; - li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ + li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1526,12 +1507,11 @@ pour t de 0 jusque nz-2 faire MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); +newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+ li + - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de}\\atop{{\\displaystyle "+nomf+"(x)}}$</span> etex);"+ + lsic+nomf+"(x)}$</span> etex);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ @@ -1585,15 +1565,14 @@ zmax:=max(zA,zB); val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex); val(btex <span class="font-latex-math">$"+latex(zmax)+"$</span>etex); val(btex <span class="font-latex-math">$+\\infty$</span> etex); - newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$</span> etex);" + "+lsic+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}<span class="font-latex-math">$ etex);" + if(a>0){"moins;"}else{"plus;"}+ if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zA){si a>0 alors "plus;"; sinon "moins;";fsi} else{si a>0 alors "moins;"; sinon "plus;"; fsi}+ if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+ if(a>0){"plus;"}else{"moins;"} - +" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);" + +lsic+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}$</span> etex);" + if(c>0){"moins"}else{"plus"}+";"+ if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi} @@ -1601,8 +1580,7 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\d if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+ if(c>0){"plus;"}else{"moins;"} - +" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$</span> etex);" + +lsic+"{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}<span class="font-latex-math">$ etex);" + si a*c>0 alors plus; sinon moins;fsi+";"+ "valBarre(btex 0 etex);"+ si a*c>0 alors moins; sinon plus;fsi+";"+ @@ -1620,28 +1598,28 @@ fclose(sortie); }:; -<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> +</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 class="comment-delimiter">%%</span><span class="comment"> -</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de Signes d'expression ne contenant -</span><span class="comment-delimiter">%% </span><span class="comment">qu'un seul terme -</span> +%% +%% Code giac/Xcas pour les Tableaux de Signes d'expression ne contenant +%% qu'un seul terme -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTSc.cxx} + +</span><span class="font-latex-sedate"><span class="keyword"><span class="font-latex-math">\begin</span></span></span><span class="function-name"><span class="font-latex-math">{VerbatimOut}</span></span><span class="font-latex-math">{XcasTSc.cxx} TSc(g,D,nmr):={ f:=unapply(g,x); Z:=NULL; mini:=D[0]; maxi:=D[1];lm:=" "; S:=resoudre(f(x),x); if(size(S)==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);"; +l0:="val(btex $</span>"+latex(D[0])+"<span class="font-latex-math">$ etex);val(btex $</span>"+latex(D[1])+"<span class="font-latex-math">$ etex);"; li:=if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1665,7 +1643,7 @@ fpour;} nz:=size(Z); l0:=" ";li:=" ";lr:=" "; -if(nz==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);"; +if(nz==0){l0:="val(btex $</span>"+latex(D[0])+"<span class="font-latex-math">$ etex);val(btex $</span>"+latex(D[1])+"<span class="font-latex-math">$ etex);"; li:=if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1675,11 +1653,11 @@ lf:=if(maxi!=+infinity and f(maxi)==0){" "}; }else{ -l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" "; -pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); +l0:="val(btex $</span>"+latex(D[0])+"<span class="font-latex-math">$ etex);";li:=" "; +pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $</span>"+latex(Z[m])+"<span class="font-latex-math">$ etex); "; fpour; -l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; +l0:=l0+"val(btex $</span>"+latex(D[1])+"<span class="font-latex-math">$ etex);"; li:= if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{" @@ -1700,9 +1678,8 @@ lf:=if(f(Z[nz-1]+1.0)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\displaystyle {x}$</span> etex); - "+l0+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(f(x))+"}}$</span> etex);"+ +newLigneVariables(btex $</span><span class="font-latex-warning">\\</span>displaystyle {x}<span class="font-latex-math">$ etex); + "+l0+lsic+latex(f(x))+"}$</span> etex);"+ li+lm+lf +" endTableau; @@ -1758,7 +1735,7 @@ fclose(sortie); XCas.}}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span> - <span class="font-latex-sedate"><span class="keyword">\includegraphics</span></span><span class="constant">{</span><span class="font-latex-sedate"><span class="constant">\Tableaux</span></span><span class="constant">.Tab.</span><span class="font-latex-sedate"><span class="constant">\theTVn</span></span><span class="constant">}</span> + <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</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}} @@ -1794,7 +1771,7 @@ fclose(sortie); </span> <span class="comment">% fichier </span> <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span> - <span class="font-latex-sedate"><span class="keyword">\includegraphics</span></span><span class="constant">{</span><span class="font-latex-sedate"><span class="constant">\Tableaux</span></span><span class="constant">.Tab.</span><span class="font-latex-sedate"><span class="constant">\theTVn</span></span><span class="constant">}</span> + <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</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"><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 @@ -1820,6 +1797,7 @@ fclose(sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasa.giac} maple_mode(0); +read("config.cxx"); read("XcasTabSigna.cxx"); read("XCasa.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1840,6 +1818,7 @@ read("XCasa.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasQ.giac} maple_mode(0); +read("config.cxx"); read("XcasTabSignQ.cxx"); read("XCasQ.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1859,6 +1838,7 @@ read("XCasQ.user"); <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"); read("XcasTabSignL.cxx"); read("XCasL.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1877,6 +1857,7 @@ 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); +read("config.cxx"); read("XcasTSc.cxx"); read("XCasTSc.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1898,6 +1879,7 @@ read("XCasTSc.user"); <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"); read("XCasTV.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1925,6 +1907,7 @@ read("XCasTV.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"); read("XcasTVZ.cxx"); read("XCasTVZ.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1951,6 +1934,7 @@ 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"); read("XCasTVapp.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1978,6 +1962,7 @@ 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); +read("config.cxx"); read("XcasTVI.cxx"); read("XCasTVI.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2000,6 +1985,7 @@ read("XCasTVI.user"); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIapp.giac} maple_mode(0); +read("config.cxx"); read("XcasTVIapp.cxx"); read("XCasTVIapp.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf Binary files differindex a18993bf159..a1450381e52 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 608bb9925e0..ad8df459844 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.tex +++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex @@ -94,9 +94,10 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com \title{\texttt{tablor.sty} \\La machine à créer des tableaux de signes et de variations } \author{Guillaume \textsc{Connan} \\ \href{http://gconnan.free.fr}{http://gconnan.free.fr}\\ -avec l'efficace participation de Jean-Michel \textsc{Boucart}} +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{18 mai 2008 - Version 2.07} +\date{22 mai 2008 - Version 2.08} @@ -155,6 +156,7 @@ Il est très court~: \begin{lstlisting} maple_mode(0); // au cas où certains travailleraient en mode maple, mupad ou ti +read("config.cxx"); // pour configurer la 1ère colonne (signe de ou sign of etc.) read("XcasTV.cxx"); // giac charge le programme read("XCasTV.user"); // giac lit les paramètres rentrés dans le source tex et fabrique à la volée le source MetaPOST. @@ -409,6 +411,73 @@ etex \newcommand{\editeur}{kile } + + + +%================================= +%IV - 1ère colonne +%================================= +% +%permet de configurer les termes dans la première colonne des +%tableaux : "signe de" ou "sign of" ou "" etc. +% + + + +\begin{VerbatimOut}{config.cxx} + +// POUR LES TV, TVI,TVZ,TVapp,TSq,TSa +// pour la ligne signe +lsic:=" +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "; + +// POUR LES TV, TVI,TVZ,TVapp +// pour la ligne variation +lvic:=" +newLigneVariations(btex $\\hbox{ Variations de }\\atop{\\displaystyle "; + +\end{VerbatimOut} + + + +%% you may prefer + +% \begin{VerbatimOut}{config.cxx} + +% // FOR TV, TVI,TVZ,TVapp,TSq,TSa +% // for the signs +% lsic:=" +% newLigneSignes(btex $\\hbox{ Sign of }\\atop{\\displaystyle "; + +% // POUR LES TV, TVI,TVZ,TVapp +% // for the variations +% lvic:=" +% newLigneVariations(btex $\\hbox{ Variations of }\\atop{\\displaystyle "; + +%\end{VerbatimOut} + + + +%% ou si vous préférez que ni signe ni variation n'apparaissent + + + +% \begin{VerbatimOut}{config.cxx} + +% // POUR LES TV, TVI,TVZ,TVapp,TSq,TSa +% // pour la ligne signe +% lsic:=" +% newLigneSignes(btex ${\\displaystyle "; + +% // POUR LES TV, TVI,TVZ,TVapp +% // pour la ligne variation +% lvic:=" +% newLigneVariations(btex ${\\displaystyle "; + +% \end{VerbatimOut} + + + \end{lstlisting} } @@ -433,7 +502,11 @@ automatiquement par des commandes \texttt{dos}; \item[III] l'éditeur sera appelé dans certains cas pour modifier l'aspect des tableaux dans les fichiers sources \texttt{MetaPOST}. Il faudra choisir un éditeur comme par exemple \texttt{emacs, xemacs, texmaker, vi, winshell, notepad, vim, kate, gedit, - textmate,texshop}, \texttt{kile}, etc. Voir aussi le paragraphe~\ref{modif}. + textmate,texshop}, \texttt{kile}, etc. Voir aussi le paragraphe~\ref{modif}; + +\item[IV] par défaut, on voit apparaître dans la première colonne des tableaux «~signe de ~» ou + «~variations de ~». Vous pouvez modifier ces réglages ici comme indiqué; deux exemples sont + donnés~:~en anglais ou en n'écrivant que les expressions. \end{enumerate} @@ -509,6 +582,7 @@ ou bien, selon les cas~: L'environnement s'appelle \texttt{TV}. On utilise une commande au format \texttt{XCAS}~: + \xcas \begin{lstlisting} @@ -785,13 +859,30 @@ TSa(-2,3,-1,5,\tv); \subsubsection*{Cas du produit d'un nombre quelconque de facteurs quelconques sur un intervalle quelconque} + + + +\begin{figure}[h] + \begin{DANGER}{Nouveauté à partir de la version 2.08} +Par souci de cohérence avec l'environnement TSq, on doit rajouter maintenant en premier argument le +nom de la fonction produit dans l'environnement TS. + \end{DANGER} + \end{figure} + + + + + + + + Certains cas pathologiques ne vont pas fonctionner, mais sinon, pour étudier le signe de \[(-2x+3)(x^2-1)(x^2+1)(x-1)(x^2-2)\] on entre cette fois les expressions sous cette forme en précisant l'intervalle d'étude~: \begin{lstlisting} \begin{TS} - TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[-infinity,+infinity],\tv); + TS("P",[-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[-infinity,+infinity],\tv); \end{TS} \end{lstlisting} @@ -799,7 +890,7 @@ On obtient~: \begin{TS} - TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[-infinity,+infinity],\tv); + TS("P",[-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[-infinity,+infinity],\tv); \end{TS} @@ -808,13 +899,13 @@ Ou bien, sur un intervalle borné~: \begin{lstlisting} \begin{TS} -TS([x-10,x+10],[-15,10],\tv) +TS("f",[x-10,x+10],[-15,10],\tv) \end{TS} \end{lstlisting} \begin{TS} -TS([x-10,x+10],[-15,10],\tv) +TS("f",[x-10,x+10],[-15,10],\tv) \end{TS} @@ -920,7 +1011,7 @@ Par exemple, je tape~: \begin{lstlisting} \begin{TS*}{100} - TS([3*x+2,5*x^2-1],[-50,50],\tv) + TS("F",[3*x+2,5*x^2-1],[-50,50],\tv) \end{TS*} \end{lstlisting} @@ -939,7 +1030,7 @@ automatiquement pour m'afficher le tableau voulu~: \begin{center} \begin{TS*}{105} - TS([3*x+2,5*x^2-1],[-50,50],\tv) + TS("F",[3*x+2,5*x^2-1],[-50,50],\tv) \end{TS*} \end{center} @@ -1104,12 +1195,12 @@ TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,\tv) \begin{lstlisting} \begin{TS} -TS([-2*x+3,x-1,x+1,x^2+3*x+1],[-10,+infinity],\tv); +TS("G",[-2*x+3,x-1,x+1,x^2+3*x+1],[-10,+infinity],\tv); \end{TS} \end{lstlisting} \begin{TS} -TS([-2*x+3,x-1,x+1,x^2+3*x+1],[-10,+infinity],\tv); +TS("G",[-2*x+3,x-1,x+1,x^2+3*x+1],[-10,+infinity],\tv); \end{TS} \begin{lstlisting} |