Komputeralgebrai algoritmusok J\303\241rai Antal Ezek a programok csak szeml\303\251ltet\303\251sre szolg\303\241lnak.
<Text-field style="Heading 1" layout="Heading 1">1. T<Font encoding="UTF-8">\303\266rt\303\251</Font>net</Text-field>
<Text-field style="Heading 1" layout="Heading 1">2. Algebrai alapok</Text-field>
<Text-field style="Heading 1" layout="Heading 1">3. Norm<Font encoding="UTF-8">\303\241</Font>l form<Font encoding="UTF-8">\303\241</Font>k, reprezent<Font encoding="UTF-8">\303\241ci\303\263</Font></Text-field> restart;
<Text-field style="Heading 2" layout="Heading 2">E 3.1. P<Font encoding="UTF-8">\303\251lda.</Font> </Text-field> a:=(3*x^2-1)*(5*x+2)+7*x^4-5*x^3+7*x^6; LCoqJiwmKiYiIiQiIiIpSSJ4RzYiIiIjRidGJ0YnISIiRicsJiomIiImRidGKUYnRidGK0YnRidGJyomIiIoRicpRikiIiVGJ0YnKiZGL0YnKUYpRiZGJ0YsKiZGMUYnKUYpIiInRidGJw== a:=expand(a); LC4qJiIjNSIiIilJInhHNiIiIiRGJUYlKiYiIidGJSlGJyIiI0YlRiUqJiIiJkYlRidGJSEiIkYtRjAqJiIiKEYlKUYnIiIlRiVGJSomRjJGJSlGJ0YrRiVGJQ== sort(a); LC4qJiIiKCIiIilJInhHNiIiIidGJUYlKiZGJEYlKUYnIiIlRiVGJSomIiM1RiUpRiciIiRGJUYlKiZGKUYlKUYnIiIjRiVGJSomIiImRiVGJ0YlISIiRjNGNg== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 3.2. P<Font encoding="UTF-8">\303\251lda.</Font> </Text-field> a:=(3*y^2+(-2*z^3)*y+5*z^2)*x^2+4*x+((-6*z+1)*y^3+3*y^2+(z^4+1)); LC4qJiwoKiYiIiQiIiIpSSJ5RzYiIiIjRidGJyooRitGJylJInpHRipGJkYnRilGJyEiIiomIiImRicpRi5GK0YnRidGJylJInhHRipGK0YnRicqJiIiJUYnRjRGJ0YnKiYsJiomIiInRidGLkYnRi9GJ0YnRicpRilGJkYnRidGJUYnKiQpRi5GNkYnRidGJ0Yn b:=expand(a); LDQqKCIiJCIiIilJInhHNiIiIiNGJSlJInlHRihGKUYlRiUqKkYpRiVGJkYlKUkiekdGKEYkRiVGK0YlISIiKigiIiZGJUYmRiUpRi5GKUYlRiUqJiIiJUYlRidGJUYlKigiIidGJSlGK0YkRiVGLkYlRi8qJEY3RiVGJSomRiRGJUYqRiVGJSokKUYuRjRGJUYlRiVGJQ== sort(b,[x,y,z],plex); LDQqKCIiJCIiIilJInhHNiIiIiNGJSlJInlHRihGKUYlRiUqKkYpRiVGJkYlRitGJSlJInpHRihGJEYlISIiKigiIiZGJUYmRiUpRi5GKUYlRiUqJiIiJUYlRidGJUYlKigiIidGJSlGK0YkRiVGLkYlRi8qJEY3RiVGJSomRiRGJUYqRiVGJSokKUYuRjRGJUYlRiVGJQ== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 3.3. P<Font encoding="UTF-8">\303\251lda.</Font> </Text-field> a:=((x^2-x*y+x)+(x^2+3)*(x-y+1))*((y^3-3*y^2-9*y-5)+x^4*(y^2+2*y+1)); KiYsKiokKUkieEc2IiIiIyIiIkYpKiZGJkYpSSJ5R0YnRikhIiJGJkYpKiYsJkYkRikiIiRGKUYpLChGJkYpRitGLEYpRilGKUYpRiksLCokKUYrRi9GKUYpKiZGL0YpKUYrRihGKUYsKiYiIipGKUYrRilGLCIiJkYsKiYpRiYiIiVGKSwoKiRGNUYpRikqJkYoRilGK0YpRilGKUYpRilGKUYp b:=expand(a); 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 sort(b,[x,y],plex); 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 c:=expand(op(1,a))*expand(op(2,a)); KiYsMComIiIjIiIiKUkieEc2IkYlRiZGJiomRihGJkkieUdGKUYmISIiKiYiIiVGJkYoRiZGJiokKUYoIiIkRiZGJiomRidGJkYrRiZGLComRjFGJkYrRiZGLEYxRiZGJiwwKiQpRitGMUYmRiYqJkYxRiYpRitGJUYmRiwqJiIiKkYmRitGJkYsIiImRiwqJilGKEYuRiZGOEYmRiYqKEYlRiZGPUYmRitGJkYmKiRGPUYmRiZGJg== factor(a); KiosKEkieEc2IiIiIiokKUYkIiIjRiZGJiIiJEYmRiYsKEYkRiZJInlHRiUhIiJGJkYmRiYpLCZGLEYmRiZGJkYpRiYsKEYsRiYqJClGJCIiJUYmRiYiIiZGLUYm LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 3.4. P<Font encoding="UTF-8">\303\251lda.</Font> </Text-field> a:=3*x^2*y^2-2*x^2*y*z^3+5*x^2*z^2+4*x-z^4+1; LC4qKCIiJCIiIilJInhHNiIiIiNGJSlJInlHRihGKUYlRiUqKkYpRiVGJkYlRitGJSlJInpHRihGJEYlISIiKigiIiZGJUYmRiUpRi5GKUYlRiUqJiIiJUYlRidGJUYlKiQpRi5GNEYlRi9GJUYl collect(a,[x,y,z],`recursive`); LCoqJiwoKiYiIiQiIiIpSSJ5RzYiIiIjRidGJyooRitGJylJInpHRipGJkYnRilGJyEiIiomIiImRicpRi5GK0YnRidGJylJInhHRipGK0YnRicqJiIiJUYnRjRGJ0YnKiQpRi5GNkYnRi9GJ0Yn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 2" layout="Heading 2">E 3.5. P<Font encoding="UTF-8">\303\251lda.</Font> </Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 1" layout="Heading 1">4. Aritmetika</Text-field>
<Text-field style="Heading 1" layout="Heading 1">5. K<Font encoding="UTF-8">\303\255</Font>nai marad<Font encoding="UTF-8">\303\251</Font>kol<Font encoding="UTF-8">\303\241</Font>s</Text-field>
<Text-field style="Heading 1" layout="Heading 1">6. Newton-iter<Font encoding="UTF-8">\303\241</Font>ci<Font encoding="UTF-8">\303\263</Font>, Hensel-felemel<Font encoding="UTF-8">\303\251</Font>s</Text-field>
<Text-field style="Heading 1" layout="Heading 1">7. Legnagyobb k<Font encoding="UTF-8">\303\266</Font>z<Font encoding="UTF-8">\303\266</Font>s oszt<Font encoding="UTF-8">\303\263</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1">8. Faktoriz<Font encoding="UTF-8">\303\241</Font>l<Font encoding="UTF-8">\303\241</Font>s</Text-field>
<Text-field style="Heading 1" layout="Heading 1">9. Egyenletrendszerek</Text-field>
<Text-field style="Heading 1" layout="Heading 1">10. Gr<Font encoding="UTF-8">\303\266bner-b\303\241zisok</Font></Text-field>
<Text-field style="Heading 1" layout="Heading 1">11. Racion<Font encoding="UTF-8">\303\241</Font>lis t<Font encoding="UTF-8">\303\266</Font>rtf<Font encoding="UTF-8">\303\274</Font>ggv<Font encoding="UTF-8">\303\251</Font>nyek integr<Font encoding="UTF-8">\303\241</Font>l<Font encoding="UTF-8">\303\241</Font>sa</Text-field>
<Text-field style="Heading 1" layout="Heading 1">12. A Risch-algoritmus.</Text-field>
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn