2 indeterminate x yax+by+c |
3 indeterminate x y zax+by+cz+d |
ax²+bxy+cy²+dx+ey+f
ax²+bxy+cxz+dy²+eyz+fz²+gx+hy+iz+j
schema:
xxx xxy xyy yyy + polinomio completo 2°
xxx | xxy | xyy | yyy | xx | xy | yy | x | y | k |
30 | 21 | 12 | 03 | 20 | 11 | 02 | 10 | 01 | 0 |
a30 | a21 | a12 | a03 | a20 | a11 | a02 | a10 | a01 | a0 |
x³ | x²y | xy² | y³ | x² | xy | y² | x | y | |
a30x³ | a21x²y | a12xy² | a03y³ | a20x² | a11xy | a02y² | a10x | a01y | a0 |
a30x³+a21x²y+a12xy²+a03y³+a20x²+a11xy+a02y²+a10x+a01y+a0
a30x³ + a21x²y + a12xy² + a03y³ + a20x² + a11xy + a02y² + a10x + a01y + a0
polynomial whose terms all have the same degree
ax²+cxy+by² omogeneo di 2°
ax³+bx²y+cxy²+dy³ omogeneo di 3°
gli addendi sono
xxx | ayxx |
xxcy | ayxcy |
xbyx | aybyx |
xbycy | aybycy |
= x³+(a+b+c)x²y+(ab+bc+ca)xy²+abcy³
Homogeneous polynomials are ubiquitous in mathematics and physics: often appear as a consequence of dimensional analysis, where measured quantities must match in real-world problems.
wp/Polynomial
Arrivi: Curva algebrica.