g.videtta
/
scritti
mirror of https://github.com/hearot/scritti
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

feat: aggiunge la versione PDF di ogni notebook

Browse Source
main
Gabriel Antonio Videtta 1 year ago
parent 7488a7da0e
commit 9af557d966
6 changed files with 40 additions and 65 deletions
Show Stats Download Patch File Download Diff File

1
.gitignore vendored
Unescape Escape View File

@ -0,0 +1 @@
.ipynb_checkpoints

0
Algebra/Notebook/1. Algoritmo di rappresentazione dei polinomi simmetrici/Algoritmo di rappresentazione dei polinomi simmetrici negli e_i.html → Algebra/Notebook/1. Algoritmo di rappresentazione dei polinomi simmetrici/Algoritmo di rappresentazione dei polinomi simmetrici.html
Unescape Escape View File

82
Algebra/Notebook/1. Algoritmo di rappresentazione dei polinomi simmetrici/Algoritmo di rappresentazione dei polinomi simmetrici negli e_i.ipynb → Algebra/Notebook/1. Algoritmo di rappresentazione dei polinomi simmetrici/Algoritmo di rappresentazione dei polinomi simmetrici.ipynb
Unescape Escape View File

@ -32,12 +32,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(e_{0}, e_{1}, e_{2}, e_{3}, e_{4}, e_{5}\\right)</script></html>" "<html>\\(\\displaystyle \\left(e_{0}, e_{1}, e_{2}, e_{3}, e_{4}, e_{5}\\right)\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle \\left(e_{0}, e_{1}, e_{2}, e_{3}, e_{4}, e_{5}\\right)$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(e_{0}, e_{1}, e_{2}, e_{3}, e_{4}, e_{5}\\right)\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"(e_0, e_1, e_2, e_3, e_4, e_5)" "(e_0, e_1, e_2, e_3, e_4, e_5)"
@ -173,12 +171,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}x_{1}^{2} x_{2}^{2} x_{3}^{2} x_{4}^{2} x_{5}^{2} - 2 x_{1}^{3} x_{2} x_{3} x_{4} x_{5} - 2 x_{1} x_{2}^{3} x_{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3}^{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3} x_{4}^{3} x_{5} - 2 x_{1} x_{2} x_{3} x_{4} x_{5}^{3} + x_{1}^{4} + 2 x_{1}^{2} x_{2}^{2} + 2 x_{1}^{2} x_{3}^{2} + 2 x_{1}^{2} x_{4}^{2} + 2 x_{1}^{2} x_{5}^{2} + x_{2}^{4} + 2 x_{2}^{2} x_{3}^{2} + 2 x_{2}^{2} x_{4}^{2} + 2 x_{2}^{2} x_{5}^{2} + x_{3}^{4} + 2 x_{3}^{2} x_{4}^{2} + 2 x_{3}^{2} x_{5}^{2} + x_{4}^{4} + 2 x_{4}^{2} x_{5}^{2} + x_{5}^{4} + x_{1} + x_{2} + x_{3} + x_{4} + x_{5}</script></html>" "<html>\\(\\displaystyle x_{1}^{2} x_{2}^{2} x_{3}^{2} x_{4}^{2} x_{5}^{2} - 2 x_{1}^{3} x_{2} x_{3} x_{4} x_{5} - 2 x_{1} x_{2}^{3} x_{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3}^{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3} x_{4}^{3} x_{5} - 2 x_{1} x_{2} x_{3} x_{4} x_{5}^{3} + x_{1}^{4} + 2 x_{1}^{2} x_{2}^{2} + 2 x_{1}^{2} x_{3}^{2} + 2 x_{1}^{2} x_{4}^{2} + 2 x_{1}^{2} x_{5}^{2} + x_{2}^{4} + 2 x_{2}^{2} x_{3}^{2} + 2 x_{2}^{2} x_{4}^{2} + 2 x_{2}^{2} x_{5}^{2} + x_{3}^{4} + 2 x_{3}^{2} x_{4}^{2} + 2 x_{3}^{2} x_{5}^{2} + x_{4}^{4} + 2 x_{4}^{2} x_{5}^{2} + x_{5}^{4} + x_{1} + x_{2} + x_{3} + x_{4} + x_{5}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle x_{1}^{2} x_{2}^{2} x_{3}^{2} x_{4}^{2} x_{5}^{2} - 2 x_{1}^{3} x_{2} x_{3} x_{4} x_{5} - 2 x_{1} x_{2}^{3} x_{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3}^{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3} x_{4}^{3} x_{5} - 2 x_{1} x_{2} x_{3} x_{4} x_{5}^{3} + x_{1}^{4} + 2 x_{1}^{2} x_{2}^{2} + 2 x_{1}^{2} x_{3}^{2} + 2 x_{1}^{2} x_{4}^{2} + 2 x_{1}^{2} x_{5}^{2} + x_{2}^{4} + 2 x_{2}^{2} x_{3}^{2} + 2 x_{2}^{2} x_{4}^{2} + 2 x_{2}^{2} x_{5}^{2} + x_{3}^{4} + 2 x_{3}^{2} x_{4}^{2} + 2 x_{3}^{2} x_{5}^{2} + x_{4}^{4} + 2 x_{4}^{2} x_{5}^{2} + x_{5}^{4} + x_{1} + x_{2} + x_{3} + x_{4} + x_{5}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}x_{1}^{2} x_{2}^{2} x_{3}^{2} x_{4}^{2} x_{5}^{2} - 2 x_{1}^{3} x_{2} x_{3} x_{4} x_{5} - 2 x_{1} x_{2}^{3} x_{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3}^{3} x_{4} x_{5} - 2 x_{1} x_{2} x_{3} x_{4}^{3} x_{5} - 2 x_{1} x_{2} x_{3} x_{4} x_{5}^{3} + x_{1}^{4} + 2 x_{1}^{2} x_{2}^{2} + 2 x_{1}^{2} x_{3}^{2} + 2 x_{1}^{2} x_{4}^{2} + 2 x_{1}^{2} x_{5}^{2} + x_{2}^{4} + 2 x_{2}^{2} x_{3}^{2} + 2 x_{2}^{2} x_{4}^{2} + 2 x_{2}^{2} x_{5}^{2} + x_{3}^{4} + 2 x_{3}^{2} x_{4}^{2} + 2 x_{3}^{2} x_{5}^{2} + x_{4}^{4} + 2 x_{4}^{2} x_{5}^{2} + x_{5}^{4} + x_{1} + x_{2} + x_{3} + x_{4} + x_{5}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"x_1^2*x_2^2*x_3^2*x_4^2*x_5^2 - 2*x_1^3*x_2*x_3*x_4*x_5 - 2*x_1*x_2^3*x_3*x_4*x_5 - 2*x_1*x_2*x_3^3*x_4*x_5 - 2*x_1*x_2*x_3*x_4^3*x_5 - 2*x_1*x_2*x_3*x_4*x_5^3 + x_1^4 + 2*x_1^2*x_2^2 + 2*x_1^2*x_3^2 + 2*x_1^2*x_4^2 + 2*x_1^2*x_5^2 + x_2^4 + 2*x_2^2*x_3^2 + 2*x_2^2*x_4^2 + 2*x_2^2*x_5^2 + x_3^4 + 2*x_3^2*x_4^2 + 2*x_3^2*x_5^2 + x_4^4 + 2*x_4^2*x_5^2 + x_5^4 + x_1 + x_2 + x_3 + x_4 + x_5" "x_1^2*x_2^2*x_3^2*x_4^2*x_5^2 - 2*x_1^3*x_2*x_3*x_4*x_5 - 2*x_1*x_2^3*x_3*x_4*x_5 - 2*x_1*x_2*x_3^3*x_4*x_5 - 2*x_1*x_2*x_3*x_4^3*x_5 - 2*x_1*x_2*x_3*x_4*x_5^3 + x_1^4 + 2*x_1^2*x_2^2 + 2*x_1^2*x_3^2 + 2*x_1^2*x_4^2 + 2*x_1^2*x_5^2 + x_2^4 + 2*x_2^2*x_3^2 + 2*x_2^2*x_4^2 + 2*x_2^2*x_5^2 + x_3^4 + 2*x_3^2*x_4^2 + 2*x_3^2*x_5^2 + x_4^4 + 2*x_4^2*x_5^2 + x_5^4 + x_1 + x_2 + x_3 + x_4 + x_5"
@ -210,12 +206,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{4} - 4 \\, e_{1}^{2} e_{2} - 2 \\, e_{1}^{2} e_{5} + 4 \\, e_{2}^{2} + 4 \\, e_{2} e_{5} + e_{5}^{2} + e_{1}</script></html>" "<html>\\(\\displaystyle e_{1}^{4} - 4 \\, e_{1}^{2} e_{2} - 2 \\, e_{1}^{2} e_{5} + 4 \\, e_{2}^{2} + 4 \\, e_{2} e_{5} + e_{5}^{2} + e_{1}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle e_{1}^{4} - 4 \\, e_{1}^{2} e_{2} - 2 \\, e_{1}^{2} e_{5} + 4 \\, e_{2}^{2} + 4 \\, e_{2} e_{5} + e_{5}^{2} + e_{1}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{4} - 4 \\, e_{1}^{2} e_{2} - 2 \\, e_{1}^{2} e_{5} + 4 \\, e_{2}^{2} + 4 \\, e_{2} e_{5} + e_{5}^{2} + e_{1}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"e_1^4 - 4*e_1^2*e_2 - 2*e_1^2*e_5 + 4*e_2^2 + 4*e_2*e_5 + e_5^2 + e_1" "e_1^4 - 4*e_1^2*e_2 - 2*e_1^2*e_5 + 4*e_2^2 + 4*e_2*e_5 + e_5^2 + e_1"
@ -315,12 +309,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}</script></html>" "<html>\\(\\displaystyle e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"e_1^8 - 8*e_1^6*e_2 + 20*e_1^4*e_2^2 + 8*e_1^5*e_3 - 16*e_1^2*e_2^3 - 32*e_1^3*e_2*e_3 - 8*e_1^4*e_4 + 2*e_2^4 + 24*e_1*e_2^2*e_3 + 12*e_1^2*e_3^2 + 24*e_1^2*e_2*e_4 + 8*e_1^3*e_5 - 8*e_2*e_3^2 - 8*e_2^2*e_4 - 16*e_1*e_3*e_4 - 16*e_1*e_2*e_5 + 4*e_4^2 + 8*e_3*e_5" "e_1^8 - 8*e_1^6*e_2 + 20*e_1^4*e_2^2 + 8*e_1^5*e_3 - 16*e_1^2*e_2^3 - 32*e_1^3*e_2*e_3 - 8*e_1^4*e_4 + 2*e_2^4 + 24*e_1*e_2^2*e_3 + 12*e_1^2*e_3^2 + 24*e_1^2*e_2*e_4 + 8*e_1^3*e_5 - 8*e_2*e_3^2 - 8*e_2^2*e_4 - 16*e_1*e_3*e_4 - 16*e_1*e_2*e_5 + 4*e_4^2 + 8*e_3*e_5"
@ -344,12 +336,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}</script></html>" "<html>\\(\\displaystyle e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}e_{1}^{8} - 8 \\, e_{1}^{6} e_{2} + 20 \\, e_{1}^{4} e_{2}^{2} + 8 \\, e_{1}^{5} e_{3} - 16 \\, e_{1}^{2} e_{2}^{3} - 32 \\, e_{1}^{3} e_{2} e_{3} - 8 \\, e_{1}^{4} e_{4} + 2 \\, e_{2}^{4} + 24 \\, e_{1} e_{2}^{2} e_{3} + 12 \\, e_{1}^{2} e_{3}^{2} + 24 \\, e_{1}^{2} e_{2} e_{4} + 8 \\, e_{1}^{3} e_{5} - 8 \\, e_{2} e_{3}^{2} - 8 \\, e_{2}^{2} e_{4} - 16 \\, e_{1} e_{3} e_{4} - 16 \\, e_{1} e_{2} e_{5} + 4 \\, e_{4}^{2} + 8 \\, e_{3} e_{5}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"e_1^8 - 8*e_1^6*e_2 + 20*e_1^4*e_2^2 + 8*e_1^5*e_3 - 16*e_1^2*e_2^3 - 32*e_1^3*e_2*e_3 - 8*e_1^4*e_4 + 2*e_2^4 + 24*e_1*e_2^2*e_3 + 12*e_1^2*e_3^2 + 24*e_1^2*e_2*e_4 + 8*e_1^3*e_5 - 8*e_2*e_3^2 - 8*e_2^2*e_4 - 16*e_1*e_3*e_4 - 16*e_1*e_2*e_5 + 4*e_4^2 + 8*e_3*e_5" "e_1^8 - 8*e_1^6*e_2 + 20*e_1^4*e_2^2 + 8*e_1^5*e_3 - 16*e_1^2*e_2^3 - 32*e_1^3*e_2*e_3 - 8*e_1^4*e_4 + 2*e_2^4 + 24*e_1*e_2^2*e_3 + 12*e_1^2*e_3^2 + 24*e_1^2*e_2*e_4 + 8*e_1^3*e_5 - 8*e_2*e_3^2 - 8*e_2^2*e_4 - 16*e_1*e_3*e_4 - 16*e_1*e_2*e_5 + 4*e_4^2 + 8*e_3*e_5"
@ -373,12 +363,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}0</script></html>" "<html>\\(\\displaystyle 0\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle 0$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}0\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"0" "0"
@ -475,12 +463,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}a_{1}^{2} a_{2}^{2} a_{3}^{2} a_{4}^{2} - 4 \\, a_{0} a_{2}^{3} a_{3}^{2} a_{4}^{2} - 4 \\, a_{1}^{3} a_{3}^{3} a_{4}^{2} + 18 \\, a_{0} a_{1} a_{2} a_{3}^{3} a_{4}^{2} - 27 \\, a_{0}^{2} a_{3}^{4} a_{4}^{2} - 4 \\, a_{1}^{2} a_{2}^{3} a_{4}^{3} + 16 \\, a_{0} a_{2}^{4} a_{4}^{3} + 18 \\, a_{1}^{3} a_{2} a_{3} a_{4}^{3} - 80 \\, a_{0} a_{1} a_{2}^{2} a_{3} a_{4}^{3} - 6 \\, a_{0} a_{1}^{2} a_{3}^{2} a_{4}^{3} + 144 \\, a_{0}^{2} a_{2} a_{3}^{2} a_{4}^{3} - 27 \\, a_{1}^{4} a_{4}^{4} + 144 \\, a_{0} a_{1}^{2} a_{2} a_{4}^{4} - 128 \\, a_{0}^{2} a_{2}^{2} a_{4}^{4} - 192 \\, a_{0}^{2} a_{1} a_{3} a_{4}^{4} + 256 \\, a_{0}^{3} a_{4}^{5} - 4 \\, a_{1}^{2} a_{2}^{2} a_{3}^{3} + 16 \\, a_{0} a_{2}^{3} a_{3}^{3} + 16 \\, a_{1}^{3} a_{3}^{4} - 72 \\, a_{0} a_{1} a_{2} a_{3}^{4} + 108 \\, a_{0}^{2} a_{3}^{5} + 18 \\, a_{1}^{2} a_{2}^{3} a_{3} a_{4} - 72 \\, a_{0} a_{2}^{4} a_{3} a_{4} - 80 \\, a_{1}^{3} a_{2} a_{3}^{2} a_{4} + 356 \\, a_{0} a_{1} a_{2}^{2} a_{3}^{2} a_{4} + 24 \\, a_{0} a_{1}^{2} a_{3}^{3} a_{4} - 630 \\, a_{0}^{2} a_{2} a_{3}^{3} a_{4} - 6 \\, a_{1}^{3} a_{2}^{2} a_{4}^{2} + 24 \\, a_{0} a_{1} a_{2}^{3} a_{4}^{2} + 144 \\, a_{1}^{4} a_{3} a_{4}^{2} - 746 \\, a_{0} a_{1}^{2} a_{2} a_{3} a_{4}^{2} + 560 \\, a_{0}^{2} a_{2}^{2} a_{3} a_{4}^{2} + 1020 \\, a_{0}^{2} a_{1} a_{3}^{2} a_{4}^{2} - 36 \\, a_{0} a_{1}^{3} a_{4}^{3} + 160 \\, a_{0}^{2} a_{1} a_{2} a_{4}^{3} - 1600 \\, a_{0}^{3} a_{3} a_{4}^{3} - 27 \\, a_{1}^{2} a_{2}^{4} + 108 \\, a_{0} a_{2}^{5} + 144 \\, a_{1}^{3} a_{2}^{2} a_{3} - 630 \\, a_{0} a_{1} a_{2}^{3} a_{3} - 128 \\, a_{1}^{4} a_{3}^{2} + 560 \\, a_{0} a_{1}^{2} a_{2} a_{3}^{2} + 825 \\, a_{0}^{2} a_{2}^{2} a_{3}^{2} - 900 \\, a_{0}^{2} a_{1} a_{3}^{3} - 192 \\, a_{1}^{4} a_{2} a_{4} + 1020 \\, a_{0} a_{1}^{2} a_{2}^{2} a_{4} - 900 \\, a_{0}^{2} a_{2}^{3} a_{4} + 160 \\, a_{0} a_{1}^{3} a_{3} a_{4} - 2050 \\, a_{0}^{2} a_{1} a_{2} a_{3} a_{4} + 2250 \\, a_{0}^{3} a_{3}^{2} a_{4} - 50 \\, a_{0}^{2} a_{1}^{2} a_{4}^{2} + 2000 \\, a_{0}^{3} a_{2} a_{4}^{2} + 256 \\, a_{1}^{5} - 1600 \\, a_{0} a_{1}^{3} a_{2} + 2250 \\, a_{0}^{2} a_{1} a_{2}^{2} + 2000 \\, a_{0}^{2} a_{1}^{2} a_{3} - 3750 \\, a_{0}^{3} a_{2} a_{3} - 2500 \\, a_{0}^{3} a_{1} a_{4} + 3125 \\, a_{0}^{4}</script></html>" "<html>\\(\\displaystyle a_{1}^{2} a_{2}^{2} a_{3}^{2} a_{4}^{2} - 4 \\, a_{0} a_{2}^{3} a_{3}^{2} a_{4}^{2} - 4 \\, a_{1}^{3} a_{3}^{3} a_{4}^{2} + 18 \\, a_{0} a_{1} a_{2} a_{3}^{3} a_{4}^{2} - 27 \\, a_{0}^{2} a_{3}^{4} a_{4}^{2} - 4 \\, a_{1}^{2} a_{2}^{3} a_{4}^{3} + 16 \\, a_{0} a_{2}^{4} a_{4}^{3} + 18 \\, a_{1}^{3} a_{2} a_{3} a_{4}^{3} - 80 \\, a_{0} a_{1} a_{2}^{2} a_{3} a_{4}^{3} - 6 \\, a_{0} a_{1}^{2} a_{3}^{2} a_{4}^{3} + 144 \\, a_{0}^{2} a_{2} a_{3}^{2} a_{4}^{3} - 27 \\, a_{1}^{4} a_{4}^{4} + 144 \\, a_{0} a_{1}^{2} a_{2} a_{4}^{4} - 128 \\, a_{0}^{2} a_{2}^{2} a_{4}^{4} - 192 \\, a_{0}^{2} a_{1} a_{3} a_{4}^{4} + 256 \\, a_{0}^{3} a_{4}^{5} - 4 \\, a_{1}^{2} a_{2}^{2} a_{3}^{3} + 16 \\, a_{0} a_{2}^{3} a_{3}^{3} + 16 \\, a_{1}^{3} a_{3}^{4} - 72 \\, a_{0} a_{1} a_{2} a_{3}^{4} + 108 \\, a_{0}^{2} a_{3}^{5} + 18 \\, a_{1}^{2} a_{2}^{3} a_{3} a_{4} - 72 \\, a_{0} a_{2}^{4} a_{3} a_{4} - 80 \\, a_{1}^{3} a_{2} a_{3}^{2} a_{4} + 356 \\, a_{0} a_{1} a_{2}^{2} a_{3}^{2} a_{4} + 24 \\, a_{0} a_{1}^{2} a_{3}^{3} a_{4} - 630 \\, a_{0}^{2} a_{2} a_{3}^{3} a_{4} - 6 \\, a_{1}^{3} a_{2}^{2} a_{4}^{2} + 24 \\, a_{0} a_{1} a_{2}^{3} a_{4}^{2} + 144 \\, a_{1}^{4} a_{3} a_{4}^{2} - 746 \\, a_{0} a_{1}^{2} a_{2} a_{3} a_{4}^{2} + 560 \\, a_{0}^{2} a_{2}^{2} a_{3} a_{4}^{2} + 1020 \\, a_{0}^{2} a_{1} a_{3}^{2} a_{4}^{2} - 36 \\, a_{0} a_{1}^{3} a_{4}^{3} + 160 \\, a_{0}^{2} a_{1} a_{2} a_{4}^{3} - 1600 \\, a_{0}^{3} a_{3} a_{4}^{3} - 27 \\, a_{1}^{2} a_{2}^{4} + 108 \\, a_{0} a_{2}^{5} + 144 \\, a_{1}^{3} a_{2}^{2} a_{3} - 630 \\, a_{0} a_{1} a_{2}^{3} a_{3} - 128 \\, a_{1}^{4} a_{3}^{2} + 560 \\, a_{0} a_{1}^{2} a_{2} a_{3}^{2} + 825 \\, a_{0}^{2} a_{2}^{2} a_{3}^{2} - 900 \\, a_{0}^{2} a_{1} a_{3}^{3} - 192 \\, a_{1}^{4} a_{2} a_{4} + 1020 \\, a_{0} a_{1}^{2} a_{2}^{2} a_{4} - 900 \\, a_{0}^{2} a_{2}^{3} a_{4} + 160 \\, a_{0} a_{1}^{3} a_{3} a_{4} - 2050 \\, a_{0}^{2} a_{1} a_{2} a_{3} a_{4} + 2250 \\, a_{0}^{3} a_{3}^{2} a_{4} - 50 \\, a_{0}^{2} a_{1}^{2} a_{4}^{2} + 2000 \\, a_{0}^{3} a_{2} a_{4}^{2} + 256 \\, a_{1}^{5} - 1600 \\, a_{0} a_{1}^{3} a_{2} + 2250 \\, a_{0}^{2} a_{1} a_{2}^{2} + 2000 \\, a_{0}^{2} a_{1}^{2} a_{3} - 3750 \\, a_{0}^{3} a_{2} a_{3} - 2500 \\, a_{0}^{3} a_{1} a_{4} + 3125 \\, a_{0}^{4}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle a_{1}^{2} a_{2}^{2} a_{3}^{2} a_{4}^{2} - 4 \\, a_{0} a_{2}^{3} a_{3}^{2} a_{4}^{2} - 4 \\, a_{1}^{3} a_{3}^{3} a_{4}^{2} + 18 \\, a_{0} a_{1} a_{2} a_{3}^{3} a_{4}^{2} - 27 \\, a_{0}^{2} a_{3}^{4} a_{4}^{2} - 4 \\, a_{1}^{2} a_{2}^{3} a_{4}^{3} + 16 \\, a_{0} a_{2}^{4} a_{4}^{3} + 18 \\, a_{1}^{3} a_{2} a_{3} a_{4}^{3} - 80 \\, a_{0} a_{1} a_{2}^{2} a_{3} a_{4}^{3} - 6 \\, a_{0} a_{1}^{2} a_{3}^{2} a_{4}^{3} + 144 \\, a_{0}^{2} a_{2} a_{3}^{2} a_{4}^{3} - 27 \\, a_{1}^{4} a_{4}^{4} + 144 \\, a_{0} a_{1}^{2} a_{2} a_{4}^{4} - 128 \\, a_{0}^{2} a_{2}^{2} a_{4}^{4} - 192 \\, a_{0}^{2} a_{1} a_{3} a_{4}^{4} + 256 \\, a_{0}^{3} a_{4}^{5} - 4 \\, a_{1}^{2} a_{2}^{2} a_{3}^{3} + 16 \\, a_{0} a_{2}^{3} a_{3}^{3} + 16 \\, a_{1}^{3} a_{3}^{4} - 72 \\, a_{0} a_{1} a_{2} a_{3}^{4} + 108 \\, a_{0}^{2} a_{3}^{5} + 18 \\, a_{1}^{2} a_{2}^{3} a_{3} a_{4} - 72 \\, a_{0} a_{2}^{4} a_{3} a_{4} - 80 \\, a_{1}^{3} a_{2} a_{3}^{2} a_{4} + 356 \\, a_{0} a_{1} a_{2}^{2} a_{3}^{2} a_{4} + 24 \\, a_{0} a_{1}^{2} a_{3}^{3} a_{4} - 630 \\, a_{0}^{2} a_{2} a_{3}^{3} a_{4} - 6 \\, a_{1}^{3} a_{2}^{2} a_{4}^{2} + 24 \\, a_{0} a_{1} a_{2}^{3} a_{4}^{2} + 144 \\, a_{1}^{4} a_{3} a_{4}^{2} - 746 \\, a_{0} a_{1}^{2} a_{2} a_{3} a_{4}^{2} + 560 \\, a_{0}^{2} a_{2}^{2} a_{3} a_{4}^{2} + 1020 \\, a_{0}^{2} a_{1} a_{3}^{2} a_{4}^{2} - 36 \\, a_{0} a_{1}^{3} a_{4}^{3} + 160 \\, a_{0}^{2} a_{1} a_{2} a_{4}^{3} - 1600 \\, a_{0}^{3} a_{3} a_{4}^{3} - 27 \\, a_{1}^{2} a_{2}^{4} + 108 \\, a_{0} a_{2}^{5} + 144 \\, a_{1}^{3} a_{2}^{2} a_{3} - 630 \\, a_{0} a_{1} a_{2}^{3} a_{3} - 128 \\, a_{1}^{4} a_{3}^{2} + 560 \\, a_{0} a_{1}^{2} a_{2} a_{3}^{2} + 825 \\, a_{0}^{2} a_{2}^{2} a_{3}^{2} - 900 \\, a_{0}^{2} a_{1} a_{3}^{3} - 192 \\, a_{1}^{4} a_{2} a_{4} + 1020 \\, a_{0} a_{1}^{2} a_{2}^{2} a_{4} - 900 \\, a_{0}^{2} a_{2}^{3} a_{4} + 160 \\, a_{0} a_{1}^{3} a_{3} a_{4} - 2050 \\, a_{0}^{2} a_{1} a_{2} a_{3} a_{4} + 2250 \\, a_{0}^{3} a_{3}^{2} a_{4} - 50 \\, a_{0}^{2} a_{1}^{2} a_{4}^{2} + 2000 \\, a_{0}^{3} a_{2} a_{4}^{2} + 256 \\, a_{1}^{5} - 1600 \\, a_{0} a_{1}^{3} a_{2} + 2250 \\, a_{0}^{2} a_{1} a_{2}^{2} + 2000 \\, a_{0}^{2} a_{1}^{2} a_{3} - 3750 \\, a_{0}^{3} a_{2} a_{3} - 2500 \\, a_{0}^{3} a_{1} a_{4} + 3125 \\, a_{0}^{4}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}a_{1}^{2} a_{2}^{2} a_{3}^{2} a_{4}^{2} - 4 \\, a_{0} a_{2}^{3} a_{3}^{2} a_{4}^{2} - 4 \\, a_{1}^{3} a_{3}^{3} a_{4}^{2} + 18 \\, a_{0} a_{1} a_{2} a_{3}^{3} a_{4}^{2} - 27 \\, a_{0}^{2} a_{3}^{4} a_{4}^{2} - 4 \\, a_{1}^{2} a_{2}^{3} a_{4}^{3} + 16 \\, a_{0} a_{2}^{4} a_{4}^{3} + 18 \\, a_{1}^{3} a_{2} a_{3} a_{4}^{3} - 80 \\, a_{0} a_{1} a_{2}^{2} a_{3} a_{4}^{3} - 6 \\, a_{0} a_{1}^{2} a_{3}^{2} a_{4}^{3} + 144 \\, a_{0}^{2} a_{2} a_{3}^{2} a_{4}^{3} - 27 \\, a_{1}^{4} a_{4}^{4} + 144 \\, a_{0} a_{1}^{2} a_{2} a_{4}^{4} - 128 \\, a_{0}^{2} a_{2}^{2} a_{4}^{4} - 192 \\, a_{0}^{2} a_{1} a_{3} a_{4}^{4} + 256 \\, a_{0}^{3} a_{4}^{5} - 4 \\, a_{1}^{2} a_{2}^{2} a_{3}^{3} + 16 \\, a_{0} a_{2}^{3} a_{3}^{3} + 16 \\, a_{1}^{3} a_{3}^{4} - 72 \\, a_{0} a_{1} a_{2} a_{3}^{4} + 108 \\, a_{0}^{2} a_{3}^{5} + 18 \\, a_{1}^{2} a_{2}^{3} a_{3} a_{4} - 72 \\, a_{0} a_{2}^{4} a_{3} a_{4} - 80 \\, a_{1}^{3} a_{2} a_{3}^{2} a_{4} + 356 \\, a_{0} a_{1} a_{2}^{2} a_{3}^{2} a_{4} + 24 \\, a_{0} a_{1}^{2} a_{3}^{3} a_{4} - 630 \\, a_{0}^{2} a_{2} a_{3}^{3} a_{4} - 6 \\, a_{1}^{3} a_{2}^{2} a_{4}^{2} + 24 \\, a_{0} a_{1} a_{2}^{3} a_{4}^{2} + 144 \\, a_{1}^{4} a_{3} a_{4}^{2} - 746 \\, a_{0} a_{1}^{2} a_{2} a_{3} a_{4}^{2} + 560 \\, a_{0}^{2} a_{2}^{2} a_{3} a_{4}^{2} + 1020 \\, a_{0}^{2} a_{1} a_{3}^{2} a_{4}^{2} - 36 \\, a_{0} a_{1}^{3} a_{4}^{3} + 160 \\, a_{0}^{2} a_{1} a_{2} a_{4}^{3} - 1600 \\, a_{0}^{3} a_{3} a_{4}^{3} - 27 \\, a_{1}^{2} a_{2}^{4} + 108 \\, a_{0} a_{2}^{5} + 144 \\, a_{1}^{3} a_{2}^{2} a_{3} - 630 \\, a_{0} a_{1} a_{2}^{3} a_{3} - 128 \\, a_{1}^{4} a_{3}^{2} + 560 \\, a_{0} a_{1}^{2} a_{2} a_{3}^{2} + 825 \\, a_{0}^{2} a_{2}^{2} a_{3}^{2} - 900 \\, a_{0}^{2} a_{1} a_{3}^{3} - 192 \\, a_{1}^{4} a_{2} a_{4} + 1020 \\, a_{0} a_{1}^{2} a_{2}^{2} a_{4} - 900 \\, a_{0}^{2} a_{2}^{3} a_{4} + 160 \\, a_{0} a_{1}^{3} a_{3} a_{4} - 2050 \\, a_{0}^{2} a_{1} a_{2} a_{3} a_{4} + 2250 \\, a_{0}^{3} a_{3}^{2} a_{4} - 50 \\, a_{0}^{2} a_{1}^{2} a_{4}^{2} + 2000 \\, a_{0}^{3} a_{2} a_{4}^{2} + 256 \\, a_{1}^{5} - 1600 \\, a_{0} a_{1}^{3} a_{2} + 2250 \\, a_{0}^{2} a_{1} a_{2}^{2} + 2000 \\, a_{0}^{2} a_{1}^{2} a_{3} - 3750 \\, a_{0}^{3} a_{2} a_{3} - 2500 \\, a_{0}^{3} a_{1} a_{4} + 3125 \\, a_{0}^{4}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"a_1^2*a_2^2*a_3^2*a_4^2 - 4*a_0*a_2^3*a_3^2*a_4^2 - 4*a_1^3*a_3^3*a_4^2 + 18*a_0*a_1*a_2*a_3^3*a_4^2 - 27*a_0^2*a_3^4*a_4^2 - 4*a_1^2*a_2^3*a_4^3 + 16*a_0*a_2^4*a_4^3 + 18*a_1^3*a_2*a_3*a_4^3 - 80*a_0*a_1*a_2^2*a_3*a_4^3 - 6*a_0*a_1^2*a_3^2*a_4^3 + 144*a_0^2*a_2*a_3^2*a_4^3 - 27*a_1^4*a_4^4 + 144*a_0*a_1^2*a_2*a_4^4 - 128*a_0^2*a_2^2*a_4^4 - 192*a_0^2*a_1*a_3*a_4^4 + 256*a_0^3*a_4^5 - 4*a_1^2*a_2^2*a_3^3 + 16*a_0*a_2^3*a_3^3 + 16*a_1^3*a_3^4 - 72*a_0*a_1*a_2*a_3^4 + 108*a_0^2*a_3^5 + 18*a_1^2*a_2^3*a_3*a_4 - 72*a_0*a_2^4*a_3*a_4 - 80*a_1^3*a_2*a_3^2*a_4 + 356*a_0*a_1*a_2^2*a_3^2*a_4 + 24*a_0*a_1^2*a_3^3*a_4 - 630*a_0^2*a_2*a_3^3*a_4 - 6*a_1^3*a_2^2*a_4^2 + 24*a_0*a_1*a_2^3*a_4^2 + 144*a_1^4*a_3*a_4^2 - 746*a_0*a_1^2*a_2*a_3*a_4^2 + 560*a_0^2*a_2^2*a_3*a_4^2 + 1020*a_0^2*a_1*a_3^2*a_4^2 - 36*a_0*a_1^3*a_4^3 + 160*a_0^2*a_1*a_2*a_4^3 - 1600*a_0^3*a_3*a_4^3 - 27*a_1^2*a_2^4 + 108*a_0*a_2^5 + 144*a_1^3*a_2^2*a_3 - 630*a_0*a_1*a_2^3*a_3 - 128*a_1^4*a_3^2 + 560*a_0*a_1^2*a_2*a_3^2 + 825*a_0^2*a_2^2*a_3^2 - 900*a_0^2*a_1*a_3^3 - 192*a_1^4*a_2*a_4 + 1020*a_0*a_1^2*a_2^2*a_4 - 900*a_0^2*a_2^3*a_4 + 160*a_0*a_1^3*a_3*a_4 - 2050*a_0^2*a_1*a_2*a_3*a_4 + 2250*a_0^3*a_3^2*a_4 - 50*a_0^2*a_1^2*a_4^2 + 2000*a_0^3*a_2*a_4^2 + 256*a_1^5 - 1600*a_0*a_1^3*a_2 + 2250*a_0^2*a_1*a_2^2 + 2000*a_0^2*a_1^2*a_3 - 3750*a_0^3*a_2*a_3 - 2500*a_0^3*a_1*a_4 + 3125*a_0^4" "a_1^2*a_2^2*a_3^2*a_4^2 - 4*a_0*a_2^3*a_3^2*a_4^2 - 4*a_1^3*a_3^3*a_4^2 + 18*a_0*a_1*a_2*a_3^3*a_4^2 - 27*a_0^2*a_3^4*a_4^2 - 4*a_1^2*a_2^3*a_4^3 + 16*a_0*a_2^4*a_4^3 + 18*a_1^3*a_2*a_3*a_4^3 - 80*a_0*a_1*a_2^2*a_3*a_4^3 - 6*a_0*a_1^2*a_3^2*a_4^3 + 144*a_0^2*a_2*a_3^2*a_4^3 - 27*a_1^4*a_4^4 + 144*a_0*a_1^2*a_2*a_4^4 - 128*a_0^2*a_2^2*a_4^4 - 192*a_0^2*a_1*a_3*a_4^4 + 256*a_0^3*a_4^5 - 4*a_1^2*a_2^2*a_3^3 + 16*a_0*a_2^3*a_3^3 + 16*a_1^3*a_3^4 - 72*a_0*a_1*a_2*a_3^4 + 108*a_0^2*a_3^5 + 18*a_1^2*a_2^3*a_3*a_4 - 72*a_0*a_2^4*a_3*a_4 - 80*a_1^3*a_2*a_3^2*a_4 + 356*a_0*a_1*a_2^2*a_3^2*a_4 + 24*a_0*a_1^2*a_3^3*a_4 - 630*a_0^2*a_2*a_3^3*a_4 - 6*a_1^3*a_2^2*a_4^2 + 24*a_0*a_1*a_2^3*a_4^2 + 144*a_1^4*a_3*a_4^2 - 746*a_0*a_1^2*a_2*a_3*a_4^2 + 560*a_0^2*a_2^2*a_3*a_4^2 + 1020*a_0^2*a_1*a_3^2*a_4^2 - 36*a_0*a_1^3*a_4^3 + 160*a_0^2*a_1*a_2*a_4^3 - 1600*a_0^3*a_3*a_4^3 - 27*a_1^2*a_2^4 + 108*a_0*a_2^5 + 144*a_1^3*a_2^2*a_3 - 630*a_0*a_1*a_2^3*a_3 - 128*a_1^4*a_3^2 + 560*a_0*a_1^2*a_2*a_3^2 + 825*a_0^2*a_2^2*a_3^2 - 900*a_0^2*a_1*a_3^3 - 192*a_1^4*a_2*a_4 + 1020*a_0*a_1^2*a_2^2*a_4 - 900*a_0^2*a_2^3*a_4 + 160*a_0*a_1^3*a_3*a_4 - 2050*a_0^2*a_1*a_2*a_3*a_4 + 2250*a_0^3*a_3^2*a_4 - 50*a_0^2*a_1^2*a_4^2 + 2000*a_0^3*a_2*a_4^2 + 256*a_1^5 - 1600*a_0*a_1^3*a_2 + 2250*a_0^2*a_1*a_2^2 + 2000*a_0^2*a_1^2*a_3 - 3750*a_0^3*a_2*a_3 - 2500*a_0^3*a_1*a_4 + 3125*a_0^4"
@ -532,12 +518,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(x - 2\\right)}^{2} {\\left(x - 3\\right)} {\\left(x - 4\\right)} {\\left(x - 5\\right)}</script></html>" "<html>\\(\\displaystyle {\\left(x - 2\\right)}^{2} {\\left(x - 3\\right)} {\\left(x - 4\\right)} {\\left(x - 5\\right)}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle {\\left(x - 2\\right)}^{2} {\\left(x - 3\\right)} {\\left(x - 4\\right)} {\\left(x - 5\\right)}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(x - 2\\right)}^{2} {\\left(x - 3\\right)} {\\left(x - 4\\right)} {\\left(x - 5\\right)}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"(x - 2)^2*(x - 3)*(x - 4)*(x - 5)" "(x - 2)^2*(x - 3)*(x - 4)*(x - 5)"
@ -561,12 +545,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}x^{5} - 16 \\, x^{4} + 99 \\, x^{3} - 296 \\, x^{2} + 428 \\, x - 240</script></html>" "<html>\\(\\displaystyle x^{5} - 16 \\, x^{4} + 99 \\, x^{3} - 296 \\, x^{2} + 428 \\, x - 240\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle x^{5} - 16 \\, x^{4} + 99 \\, x^{3} - 296 \\, x^{2} + 428 \\, x - 240$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}x^{5} - 16 \\, x^{4} + 99 \\, x^{3} - 296 \\, x^{2} + 428 \\, x - 240\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"x^5 - 16*x^4 + 99*x^3 - 296*x^2 + 428*x - 240" "x^5 - 16*x^4 + 99*x^3 - 296*x^2 + 428*x - 240"
@ -589,12 +571,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}0</script></html>" "<html>\\(\\displaystyle 0\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle 0$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}0\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"0" "0"
@ -624,12 +604,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(x + 2\\right)} {\\left(x + i\\right)} {\\left(x - i\\right)} {\\left(x - 1\\right)} {\\left(x - 2\\right)}</script></html>" "<html>\\(\\displaystyle {\\left(x + 2\\right)} {\\left(x + i\\right)} {\\left(x - i\\right)} {\\left(x - 1\\right)} {\\left(x - 2\\right)}\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle {\\left(x + 2\\right)} {\\left(x + i\\right)} {\\left(x - i\\right)} {\\left(x - 1\\right)} {\\left(x - 2\\right)}$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}{\\left(x + 2\\right)} {\\left(x + i\\right)} {\\left(x - i\\right)} {\\left(x - 1\\right)} {\\left(x - 2\\right)}\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"(x + 2)*(x + I)*(x - I)*(x - 1)*(x - 2)" "(x + 2)*(x + I)*(x - I)*(x - 1)*(x - 2)"
@ -653,12 +631,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}x^{5} - x^{4} - 3 \\, x^{3} + 3 \\, x^{2} - 4 \\, x + 4</script></html>" "<html>\\(\\displaystyle x^{5} - x^{4} - 3 \\, x^{3} + 3 \\, x^{2} - 4 \\, x + 4\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle x^{5} - x^{4} - 3 \\, x^{3} + 3 \\, x^{2} - 4 \\, x + 4$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}x^{5} - x^{4} - 3 \\, x^{3} + 3 \\, x^{2} - 4 \\, x + 4\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"x^5 - x^4 - 3*x^3 + 3*x^2 - 4*x + 4" "x^5 - x^4 - 3*x^3 + 3*x^2 - 4*x + 4"
@ -681,12 +657,10 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-1440000</script></html>" "<html>\\(\\displaystyle -1440000\\)</html>"
], ],
"text/latex": [ "text/latex": [
"\\begin{math}\n", "$\\displaystyle -1440000$"
"\\newcommand{\\Bold}[1]{\\mathbf{#1}}-1440000\n",
"\\end{math}"
], ],
"text/plain": [ "text/plain": [
"-1440000" "-1440000"
@ -713,7 +687,7 @@
"metadata": { "metadata": {
"celltoolbar": "Edit Metadata", "celltoolbar": "Edit Metadata",
"kernelspec": { "kernelspec": {
"display_name": "SageMath 9.2", "display_name": "SageMath 10.0",
"language": "sage", "language": "sage",
"name": "sagemath" "name": "sagemath"
}, },
@ -727,7 +701,7 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.7.7" "version": "3.11.3"
} }
}, },
"nbformat": 4, "nbformat": 4,

BIN
Algebra/Notebook/1. Algoritmo di rappresentazione dei polinomi simmetrici/Algoritmo di rappresentazione dei polinomi simmetrici.pdf
View File

Binary file not shown.

22
Geometria/Notebook/1. Forma canonica di Jordan/Algoritmo di estrazione della forma canonica di Jordan.ipynb
Unescape Escape View File

@ -26,7 +26,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 35, "execution_count": 1,
"metadata": { "metadata": {
"scrolled": true "scrolled": true
}, },
@ -54,7 +54,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 58, "execution_count": 2,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
@ -152,7 +152,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 59, "execution_count": 3,
"metadata": { "metadata": {
"scrolled": true "scrolled": true
}, },
@ -160,7 +160,7 @@
{ {
"data": { "data": {
"text/html": [ "text/html": [
"<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrrrrrrrrr}\n", "<html>\\(\\displaystyle \\left(\\begin{array}{rrrrrrrrrr}\n",
"1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
"0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
"0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
@ -171,10 +171,10 @@
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 0 \\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 0 \\\\\n",
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 \\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 \\\\\n",
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3\n",
"\\end{array}\\right)</script></html>" "\\end{array}\\right)\\)</html>"
], ],
"text/latex": [ "text/latex": [
"$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{rrrrrrrrrr}\n", "$\\displaystyle \\left(\\begin{array}{rrrrrrrrrr}\n",
"1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
"0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
"0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n", "0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\\\\n",
@ -185,7 +185,7 @@
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 0 \\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 0 \\\\\n",
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 \\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 \\\\\n",
"0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3\n",
"\\end{array}\\right)$$" "\\end{array}\\right)$"
], ],
"text/plain": [ "text/plain": [
"[1 1 0 0 0 0 1 0 1 0]\n", "[1 1 0 0 0 0 1 0 1 0]\n",
@ -200,7 +200,7 @@
"[0 0 0 0 0 0 0 0 0 3]" "[0 0 0 0 0 0 0 0 0 3]"
] ]
}, },
"execution_count": 59, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -220,7 +220,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 60, "execution_count": 4,
"metadata": { "metadata": {
"scrolled": false "scrolled": false
}, },
@ -818,7 +818,7 @@
], ],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "SageMath 9.3", "display_name": "SageMath 10.0",
"language": "sage", "language": "sage",
"name": "sagemath" "name": "sagemath"
}, },
@ -832,7 +832,7 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.7.10" "version": "3.11.3"
} }
}, },
"nbformat": 4, "nbformat": 4,

BIN
Geometria/Notebook/1. Forma canonica di Jordan/Algoritmo di estrazione della forma canonica di Jordan.pdf
View File

Binary file not shown.
Write Preview
Loading…
Cancel
Save