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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp8
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.02
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.12
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.102
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.105254
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.11484
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.12170
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1318
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1418
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.152
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.162
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.172
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.182
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.22
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.202
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.217
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.222
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.232
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.242
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.252
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.2688
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.272
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.282
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.32
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.302
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.312
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.322
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.332
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.342
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.352
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.362
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.372
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.382
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.392
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.42
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.402
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.412
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.42166
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.432
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.52
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.62
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.72
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.92
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp145
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html194
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.pdfbin317899 -> 335628 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.tex113
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor.cfg70
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor.sty82
49 files changed, 997 insertions, 888 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 @@
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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 @@
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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 @@
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+%%CreationDate: 2008.05.22:1611
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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 @@
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+%*Font: fourier-ms 6.96591 9.96265 70:8
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%%BeginProlog
%%EndProlog
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.43
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5
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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
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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
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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 @@
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
index 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 &#224; cr&#233;er des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[22/05/2008 v2.08 la machine &#224; cr&#233;er 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">D&#233;finit des commandes disque selon l'OS utilis&#233;
-</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 pr&#233;sent
</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 ext&#233;rieur 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 ext&#233;rieur pour la plateforme
</span><span class="comment-delimiter">%% </span><span class="comment">et l'&#233;diteur
</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">$"+
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="
-newLigneSignes(btex <span class="font-latex-math">$\\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&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -346,8 +345,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;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))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; 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))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; 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&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -721,8 +716,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;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)))}+"$</span> etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -882,12 +876,11 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))=
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="
-newLigneSignes(btex <span class="font-latex-math">$\\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&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r
ksp:=evalf(fp(Z[r]+0.01))&gt;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&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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+" $</span> etex,0.5);"}else{" "};
@@ -1114,12 +1106,11 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))=
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="
-newLigneSignes(btex <span class="font-latex-math">$\\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&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r
ksp:=evalf(fp(Z[r]+0.01))&gt;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&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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+" $</span> etex,0.5);"}else{" "};
@@ -1279,7 +1269,7 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.cxx}
-TS(L,D,nmr):={
+TS(nomf,L,D,nmr):={
L:=apply(f-&gt;unapply(f,x),L)
n:=size(L);
Z:=NULL;
@@ -1302,8 +1292,7 @@ fpour;};
nz:=size(Z);
if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
- for(p:=0;p&lt;=n-1;p++){li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+
+ for(p:=0;p&lt;=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ 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&gt;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])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){lp:="";
- li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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])+"$</span> etex);";
- for(p:=0;p&lt;=n-1;p++){li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+
+ for(p:=0;p&lt;=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ 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&gt;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])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){lp:="";
- li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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&gt;0){"moins;"}else{"plus;"}+
if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zA){si a&gt;0 alors "plus;"; sinon "moins;";fsi}
else{si a&gt;0 alors "moins;"; sinon "plus;"; fsi}+
if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
if(a&gt;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+"}$</span> etex);"
+ if(c&gt;0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
@@ -1601,8 +1580,7 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\d
if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
if(c&gt;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&gt;0 alors plus; sinon moins;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c&gt;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)&gt;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
index a18993bf159..a1450381e52 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 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}
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.cfg b/Master/texmf-dist/tex/latex/tablor/tablor.cfg
index b48574d2385..6bb248629fc 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.cfg
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.cfg
@@ -46,3 +46,73 @@ etex
+
+
+
+
+
+
+
+
+%=================================
+%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}
+
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index 8a607fa7279..cc970ee84b5 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,5 +1,5 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[18/05/2008 v2.07 la machine à créer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[22/05/2008 v2.08 la machine à créer des tableaux de signes et variations]
% \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
% This work may be distributed and/or mofified under the conditions
@@ -18,7 +18,7 @@
% %%%%%% Pour des tableaux de plus de 2 facteurs
%
% \begin{TS}
-% TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[a,b],\tv);
+% TS("P",[-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[a,b],\tv);
% \end{TS}
%
% pour les tableaux de signes avec quotient
@@ -243,8 +243,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
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 $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ 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){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -258,8 +257,7 @@ 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 $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+
+ li:=lvic+nom+"}$ etex);"+
if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -414,8 +412,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
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 $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ 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){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -438,8 +435,7 @@ 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 $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+
+ li:=lvic +nom+"}$ etex);"+
if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -618,8 +614,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
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 $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ 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){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -633,8 +628,7 @@ 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 $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+
+ li:=lvic+nom+"}$ etex);"+
if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -794,8 +788,7 @@ 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 $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ 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){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -827,8 +820,7 @@ 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 $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);
+ li:=lvic+nom+"}$ etex);
"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "};
@@ -1026,8 +1018,7 @@ 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 $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ 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){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -1059,8 +1050,7 @@ 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 $\\hbox{ Variations de}\\atop{\\displaystyle {"+nom+"}}$ etex);
+ li:=lvic+nom+"}$ etex);
"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "};
@@ -1191,7 +1181,7 @@ fclose(sortie);
\begin{VerbatimOut}{XcasTabSignL.cxx}
-TS(L,D,nmr):={
+TS(nomf,L,D,nmr):={
L:=apply(f->unapply(f,x),L)
n:=size(L);
Z:=NULL;
@@ -1214,8 +1204,7 @@ fpour;};
nz:=size(Z);
if(nz==0){li:="";l0:="val(btex $"+latex(D[0])+"$ etex);val(btex $"+latex(D[1])+"$ etex);";
- for(p:=0;p<=n-1;p++){li:=li+"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+
+ for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
@@ -1229,9 +1218,7 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](m
MetaLfc:=" beginTableau("+nmr+")
newLigneVariables(btex $ {x}$ etex);
- "+l0+li+
- "
- newLigneSignes(btex $\\hbox{ Signe du }\\atop{{\\displaystyle produit}}$ etex);"+
+ "+l0+li+ lsic+nomf+"(x)}$ etex);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}+ lf+
@@ -1251,8 +1238,7 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);";
for(p:=0;p<=n-1;p++){lp:="";
- li:=li+"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+
+ li:=li+lsic+latex(L[p](x))+"}$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
@@ -1280,9 +1266,7 @@ MetaLfc:=" beginTableau("+nmr+")
newLigneVariables(btex $ {x}$ etex);
"+l0+
li
- +
- "
- newLigneSignes(btex $\\hbox{ Signe du }\\atop{{\\displaystyle \\rm produit}}$ etex);"+
+ + lsic+nomf+"(x)}$ etex);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}+
@@ -1362,8 +1346,7 @@ fpour;};
nz:=size(Z);
if(nz==0){li:="";l0:="val(btex $"+latex(D[0])+"$ etex);val(btex $"+latex(D[1])+"$ etex);";
- for(p:=0;p<=n-1;p++){li:=li+"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+
+ for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
@@ -1381,8 +1364,7 @@ MetaLfc:="
beginTableau("+nmr+")
newLigneVariables(btex $ {x}$ etex);
"+l0+li+
- "
- newLigneSignes(btex $\\hbox{ Signe }\\atop{{\\displaystyle de "+nomf+"(x)}}$ etex);"+
+ lsic+nomf+"(x)}$ 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+
@@ -1407,8 +1389,7 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);";
for(p:=0;p<=n-1;p++){lp:="";
- li:=li+"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+
+ li:=li+lsic+latex(L[p](x))+"}$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
@@ -1442,8 +1423,7 @@ newLigneVariables(btex $ {x}$ etex);
"+l0+
li
+
- "
- newLigneSignes(btex $\\hbox{ Signe de}\\atop{{\\displaystyle "+nomf+"(x)}}$ etex);"+
+ lsic+nomf+"(x)}$ 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;"}+
@@ -1497,15 +1477,14 @@ zmax:=max(zA,zB);
val(btex $-\\infty$ etex);val(btex $"+latex(zmin)+"$ etex);
val(btex $"+latex(zmax)+"$etex);
val(btex $+\\infty$ etex);
- newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$ etex);"
+ "+lsic+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}$ 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 $\\hbox{ Signe de }\\atop{\\displaystyle {"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);"
+ +lsic+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}$ 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}
@@ -1513,8 +1492,7 @@ newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+if(c==1){"x+"}
if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
if(c>0){"plus;"}else{"moins;"}
- +"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ 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+")}}$ etex);"
+ si a*c>0 alors plus; sinon moins;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c>0 alors moins; sinon plus;fsi+";"+
@@ -1613,8 +1591,7 @@ MetaLfc:="
beginTableau("+nmr+")
newLigneVariables(btex $\\displaystyle {x}$ etex);
- "+l0+"
-newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(f(x))+"}}$ etex);"+
+ "+l0+lsic+latex(f(x))+"}$ etex);"+
li+lm+lf
+"
endTableau;
@@ -1732,6 +1709,7 @@ fclose(sortie);
\begin{VerbatimOut}{XCasa.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTabSigna.cxx");
read("XCasa.user");
\end{VerbatimOut}
@@ -1752,6 +1730,7 @@ read("XCasa.user");
\begin{VerbatimOut}{XCasQ.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTabSignQ.cxx");
read("XCasQ.user");
\end{VerbatimOut}
@@ -1771,6 +1750,7 @@ read("XCasQ.user");
\begin{VerbatimOut}{XCasL.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTabSignL.cxx");
read("XCasL.user");
\end{VerbatimOut}
@@ -1789,6 +1769,7 @@ read("XCasL.user");
\begin{VerbatimOut}{XCasTSc.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTSc.cxx");
read("XCasTSc.user");
\end{VerbatimOut}
@@ -1810,6 +1791,7 @@ read("XCasTSc.user");
\begin{VerbatimOut}{XCasTV.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTV.cxx");
read("XCasTV.user");
\end{VerbatimOut}
@@ -1837,6 +1819,7 @@ read("XCasTV.user");
\begin{VerbatimOut}{XCasTVZ.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTVZ.cxx");
read("XCasTVZ.user");
\end{VerbatimOut}
@@ -1863,6 +1846,7 @@ read("XCasTVZ.user");
\begin{VerbatimOut}{XCasTVapp.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTVapp.cxx");
read("XCasTVapp.user");
\end{VerbatimOut}
@@ -1890,6 +1874,7 @@ read("XCasTVapp.user");
\begin{VerbatimOut}{XCasTVI.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTVI.cxx");
read("XCasTVI.user");
\end{VerbatimOut}
@@ -1912,6 +1897,7 @@ read("XCasTVI.user");
\begin{VerbatimOut}{XCasTVIapp.giac}
maple_mode(0);
+read("config.cxx");
read("XcasTVIapp.cxx");
read("XCasTVIapp.user");
\end{VerbatimOut}