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| 1 | -rw-r--r--···0········0········0········4·2018-09-06·04:45:13.000000·debian-binary | 1 | -rw-r--r--···0········0········0········4·2018-09-06·04:45:13.000000·debian-binary |
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| 1 | Package:·giac-doc | 1 | Package:·giac-doc |
| 2 | Source:·giac | 2 | Source:·giac |
| 3 | Version:·1.4.9.69+dfsg1-2 | 3 | Version:·1.4.9.69+dfsg1-2 |
| 4 | Architecture:·all | 4 | Architecture:·all |
| 5 | Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org> | 5 | Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org> |
| 6 | Installed-Size:·267 | 6 | Installed-Size:·26740 |
| 7 | Depends:·libjs-codemirror,·libjs-mathjax,·xcas | 7 | Depends:·libjs-codemirror,·libjs-mathjax,·xcas |
| 8 | Recommends:·xcas·(=·1.4.9.69+dfsg1-2) | 8 | Recommends:·xcas·(=·1.4.9.69+dfsg1-2) |
| 9 | Section:·doc | 9 | Section:·doc |
| 10 | Priority:·extra | 10 | Priority:·extra |
| 11 | Multi-Arch:·foreign | 11 | Multi-Arch:·foreign |
| 12 | Homepage:·https://www-fourier.ujf-grenoble.fr/~parisse/giac.html | 12 | Homepage:·https://www-fourier.ujf-grenoble.fr/~parisse/giac.html |
| 13 | Description:·Computer·Algebra·System·-·documentation | 13 | Description:·Computer·Algebra·System·-·documentation |
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| 1279 | -rw-r--r--···0·root·········(0)·root·········(0)·····5341·2018-09-06·04:45:13.000000·./usr/share/giac/doc/fr/keywords | 1279 | -rw-r--r--···0·root·········(0)·root·········(0)·····5341·2018-09-06·04:45:13.000000·./usr/share/giac/doc/fr/keywords |
| 1280 | -rw-r--r--···0·root·········(0)·root·········(0)······929·2018-09-06·04:45:13.000000·./usr/share/giac/doc/giac.js | 1280 | -rw-r--r--···0·root·········(0)·root·········(0)······929·2018-09-06·04:45:13.000000·./usr/share/giac/doc/giac.js |
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| 1441 | -rw-r--r--···0·root·········(0)·root·········(0)····12949·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/conformal.xws | 1441 | -rw-r--r--···0·root·········(0)·root·········(0)····12949·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/conformal.xws |
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| 1444 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/ | 1444 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/ |
| 1445 | -rw-r--r--···0·root·········(0)·root·········(0)·····8807·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/pagerank.xws | 1445 | -rw-r--r--···0·root·········(0)·root·········(0)·····8807·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/pagerank.xws |
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| 1448 | -rw-r--r--···0·root·········(0)·root·········(0)····2413 | 1448 | -rw-r--r--···0·root·········(0)·root·········(0)····24136·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile |
| 1449 | -rw-r--r--···0·root·········(0)·root·········(0)·····6577·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.am | 1449 | -rw-r--r--···0·root·········(0)·root·········(0)·····6577·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.am |
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| 1451 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/ | 1451 | drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/ |
| 1452 | -rw-r--r--···0·root·········(0)·root·········(0)······726·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/codage.cas | 1452 | -rw-r--r--···0·root·········(0)·root·········(0)······726·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/codage.cas |
| 1453 | -rw-r--r--···0·root·········(0)·root·········(0)······631·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/estpremier | 1453 | -rw-r--r--···0·root·········(0)·root·········(0)······631·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/estpremier |
| 1454 | -rw-r--r--···0·root·········(0)·root·········(0)······385·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/horner | 1454 | -rw-r--r--···0·root·········(0)·root·········(0)······385·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/horner |
| 1455 | -rw-r--r--···0·root·········(0)·root·········(0)·····1352·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/inpg.cas | 1455 | -rw-r--r--···0·root·········(0)·root·········(0)·····1352·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/inpg.cas |
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| 19 | N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72 | 19 | N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72 |
| 20 | mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0 | 20 | mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0 |
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| 1202 | (sum(m)/20,-1,0.1);·plot(normald(0,0.57),-2..2) | 1202 | (sum(m)/20,-1,0.1);·plot(normald(0,0.57),-2..2) |
| 1203 | \xc24 | 1203 | \xc24 |
| 1204 | CHAPITRE·3.·CALCULER·SUR·ORDINATEUR | 1204 | CHAPITRE·3.·CALCULER·SUR·ORDINATEUR |
| 1205 | y | 1205 | y |
| 1206 | 0.8 | ||
| 1206 | 0.7 | 1207 | 0.7 |
| 1207 | 0.6 | 1208 | 0.6 |
| 1208 | 0.5 | 1209 | 0.5 |
| 1209 | 0.4 | 1210 | 0.4 |
| 1210 | 0.3 | 1211 | 0.3 |
| 1211 | 0.2 | 1212 | 0.2 |
| 1212 | 0.1 | 1213 | 0.1 |
| Offset 2378, 20 lines modified | Offset 2379, 20 lines modified | ||
| 2378 | Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des | 2379 | Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des |
| 2379 | calculatrices·formelles.... | 2380 | calculatrices·formelles.... |
| 2380 | 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction | 2381 | 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction |
| 2381 | du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de | 2382 | du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de |
| 2382 | a(a·+·1)·où·a·=·10000!,·a·=·15000!,·etc.·.·Même·question·pour·des·polynômes·en·une·variable·(à·générer·par·exemple·avec·symb2poly(randpoly(n)) | 2383 | a(a·+·1)·où·a·=·10000!,·a·=·15000!,·etc.·.·Même·question·pour·des·polynômes·en·une·variable·(à·générer·par·exemple·avec·symb2poly(randpoly(n)) |
| 2383 | ou·avec·poly1[op(ranm(.))]). | 2384 | ou·avec·poly1[op(ranm(.))]). |
| 2384 | n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p); | 2385 | n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p); |
| 2385 | 100,·Done,·[0.001 | 2386 | 100,·Done,·[0.0013,·0.00122078438] |
| 2386 | 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et | 2387 | 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et |
| 2387 | la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·. | 2388 | la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·. |
| 2388 | a:=123;·n:=456;·m:=789;·time(powmod(a,n,m | 2389 | a:=123;·n:=456;·m:=789;·time(powmod(a,n,m |
| 2389 | ));·time(irem(a^n,m)); | 2390 | ));·time(irem(a^n,m)); |
| 2390 | 123,·456,·789,·[8e·−·06,· | 2391 | 123,·456,·789,·[2.8e·−·06,·2.4286463e·−·06],·[4e·−·05,·3.92145912e·−·05] |
| 2391 | Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant | 2392 | Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant |
| 2392 | la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable | 2393 | la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable |
| 2393 | 0 | 2394 | 0 |
| 2394 | 1 | 2395 | 1 |
| 2395 | k | 2396 | k |
| 2396 | locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a2 | 2397 | locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a2 |
| 2397 | (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de | 2398 | (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de |
| Offset 2422, 15 lines modified | Offset 2423, 15 lines modified | ||
| 2422 | (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout | 2423 | (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout |
| 2423 | (d)·les·restes·chinois | 2424 | (d)·les·restes·chinois |
| 2424 | 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme | 2425 | 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme |
| 2425 | x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la | 2426 | x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la |
| 2426 | √ | 2427 | √ |
| 2427 | valeur·de·y. | 2428 | valeur·de·y. |
| 2428 | GF(2,7); | 2429 | GF(2,7); |
| 2429 | GF·(2,·k·7·+·k·4·+·k·3·+·k·2·+·1,·[k,·K,·g],·undef·) | 2430 | GF·(2,·k·7·+·k·5·+·k·4·+·k·3·+·k·2·+·k·+·1,·[k,·K,·g],·undef·) |
| 2430 | 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer | 2431 | 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer |
| 2431 | la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un | 2432 | la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un |
| 2432 | nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·100 | 2433 | nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·100 |
| 2433 | décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x), | 2434 | décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x), |
| 2434 | une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux | 2435 | une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux |
| 2435 | parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple). | 2436 | parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple). |
| 2436 | a:=sin(x)+2;·type(a);·a[0];·a[1] | 2437 | a:=sin(x)+2;·type(a);·a[0];·a[1] |
| Offset 2513, 15 lines modified | Offset 2514, 15 lines modified | ||
| 2513 | CHAPITRE·3.·CALCULER·SUR·ORDINATEUR | 2514 | CHAPITRE·3.·CALCULER·SUR·ORDINATEUR |
| 2514 | 14.·Que·se·passe-t-il·si·on·essaie·d’appliquer·l’algorithme·de·la·puissance·rapide·pour·calculer·(x·+·y·+·z·+·1)k·par·exemple·pour·k·=·64·?·Calculer·le | 2515 | 14.·Que·se·passe-t-il·si·on·essaie·d’appliquer·l’algorithme·de·la·puissance·rapide·pour·calculer·(x·+·y·+·z·+·1)k·par·exemple·pour·k·=·64·?·Calculer·le |
| 2515 | nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez. | 2516 | nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez. |
| 2516 | time(normal((x+y+z+1)^30));·a:=normal((x+y+z+1 | 2517 | time(normal((x+y+z+1)^30));·a:=normal((x+y+z+1 |
| 2517 | )^15):;·time(normal(a*a)); | 2518 | )^15):;·time(normal(a*a)); |
| 2518 | [0.05 | 2519 | [0.052,·0.0509496362],·Done,·[0.12,·0.11072705] |
| 2519 | 15.·Programmation·de·la·méthode·de·Horner | 2520 | 15.·Programmation·de·la·méthode·de·Horner |
| 2520 | Il·s’agit·d’évaluer·efficacement·un·polynôme | 2521 | Il·s’agit·d’évaluer·efficacement·un·polynôme |
| 2521 | P·(X)·=·an·X·n·+·...·+·a0 | 2522 | P·(X)·=·an·X·n·+·...·+·a0 |
| 2522 | en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·: | 2523 | en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·: |
| Offset 4896, 21 lines modified | Offset 4897, 24 lines modified | ||
| 4896 | approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre | 4897 | approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre |
| 4897 | z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi | 4898 | z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi |
| 4898 | une·localisation·certifiée·des·racines·complexes. | 4899 | une·localisation·certifiée·des·racines·complexes. |
| 4899 | Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S | 4900 | Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S |
| 4900 | | 4901 | |
| 4901 | | 4902 | |
| 4902 | | 4903 | |
| 4904 | x·−86·x·+50·x·−30·x·+55·x+63,· | ||
| 4905 | | ||
| 4906 | | ||
| 4903 | 5 | 4907 | 5 |
| 4904 | 4 | 4908 | 4 |
| 4905 | 3 | 4909 | 3 |
| 4906 | 2 | 4910 | 2 |
| 4907 | x·+16·x·+50·x·+16·x·−33·x−14,· | ||
| 4908 | | ||
| 4909 | | ||
| 4910 | 0 | 4911 | 0 |
| 4911 | 1 | 4912 | 1 |
| 4912 | 0 | 4913 | 0 |
| 4913 | 0 | 4914 | 0 |
| 4914 | 0 | 4915 | 0 |
| Offset 4924, 84 lines modified | Offset 4928, 75 lines modified | ||
| 4924 | 0 | 4928 | 0 |
| 4925 | 0 | 4929 | 0 |
| 4926 | 1 | 4930 | 1 |
| 4927 | 0 | 4931 | 0 |
| 4928 | | 4932 | |
| 4929 | | 4933 | |
| 4930 | 0 | 4934 | −0.0605840657097 |
| 4935 | −1 | ||
| 4936 | 0·−63 | ||
| 4931 | | 4937 | |
| 4932 | 0 | 4938 | 0.943777097166 |
| 4939 | 0.0 | ||
| 4940 | 0·−55· | ||
| 4933 | | 4941 | |
| 4934 | | 4942 | |
| 4935 | | ||
| 4936 | 0·−16··,·Done,· | ||
| 4937 | | 4943 | |
| 4938 | 4944 | 0.0 | |
| 4945 | −7.46 | ||
| 4946 | 0·30· | ||
| 4947 | , | ||
| 4948 | Done, | ||
| 4949 | | ||
| 4950 | | ||
| 4951 | | ||
| 4952 | ·1.78613259929e·−·15·−4.70 | ||
| 4939 | 0·−50 | 4953 | 0·−50 |
| 4954 | 1·86 | ||
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| Offset 282, 15 lines modified | Offset 282, 15 lines modified | ||
| 282 | PARI_LIBS·=·-lpari | 282 | PARI_LIBS·=·-lpari |
| 283 | PATH_SEPARATOR·=·: | 283 | PATH_SEPARATOR·=·: |
| 284 | PDFLATEX·=·/usr/bin/pdflatex | 284 | PDFLATEX·=·/usr/bin/pdflatex |
| 285 | POSUB·=·po | 285 | POSUB·=·po |
| 286 | RANLIB·=·ranlib | 286 | RANLIB·=·ranlib |
| 287 | SED·=·/bin/sed | 287 | SED·=·/bin/sed |
| 288 | SET_MAKE·=· | 288 | SET_MAKE·=· |
| 289 | SHELL·=·/bin/ | 289 | SHELL·=·/bin/sh |
| 290 | STRIP·=·strip | 290 | STRIP·=·strip |
| 291 | USE_INCLUDED_LIBINTL·=·no | 291 | USE_INCLUDED_LIBINTL·=·no |
| 292 | USE_NLS·=·yes | 292 | USE_NLS·=·yes |
| 293 | VERSION·=·1.4.9 | 293 | VERSION·=·1.4.9 |
| 294 | XGETTEXT·=·/usr/bin/xgettext | 294 | XGETTEXT·=·/usr/bin/xgettext |
| 295 | XMKMF·=· | 295 | XMKMF·=· |
| 296 | X_CFLAGS·=· | 296 | X_CFLAGS·=· |