Kudentoštkümnen nellikon identižuz

Pfisteran kudentoštkümnen nellikon identižuz om matematine teorem.

Kudentoštkümnen nellikon summoiden liža Šablon:K om kudentoštkümnen nellikon summ.

Toziolendas:

${}^{z_1=x_1{y}_1-x_2{y}_2-x_3{y}_3-x_4{y}_4-x_5{y}_5-x_6{y}_6-x_7{y}_7-x_8{y}_8+u_1{y}_9-u_2{y}_{10}-u_3{y}_{11}-u_4{y}_{12}-u_5{y}_{13}-u_6{y}_{14}-u_7{y}_{15}-u_8{y}_{16}}$

${}^{z_2=x_2{y}_1+x_1{y}_2+x_4{y}_3-x_3{y}_4+x_6{y}_5-x_5{y}_6-x_8{y}_7+x_7{y}_8+u_2{y}_9+u_1{y}_{10}+u_4{y}_{11}-u_3{y}_{12}+u_6{y}_{13}-u_5{y}_{14}-u_8{y}_{15}+u_7{y}_{16}}$

${}^{z_3=x_3{y}_1-x_4{y}_2+x_1{y}_3+x_2{y}_4+x_7{y}_5+x_8{y}_6-x_5{y}_7-x_6{y}_8+u_3{y}_9-u_4{y}_{10}+u_1{y}_{11}+u_2{y}_{12}+u_7{y}_{13}+u_8{y}_{14}-u_5{y}_{15}-u_6{y}_{16}}$

${}^{z_4=x_4{y}_1+x_3{y}_2-x_2{y}_3+x_1{y}_4+x_8{y}_5-x_7{y}_6+x_6{y}_7-x_5{y}_8+u_4{y}_9+u_3{y}_{10}-u_2{y}_{11}+u_1{y}_{12}+u_8{y}_{13}-u_7{y}_{14}+u_6{y}_{15}-u_5{y}_{16}}$

${}^{z_5=x_5{y}_1-x_6{y}_2-x_7{y}_3-x_8{y}_4+x_1{y}_5+x_2{y}_6+x_3{y}_7+x_4{y}_8+u_5{y}_9-u_6{y}_{10}-u_7{y}_{11}-u_8{y}_{12}+u_1{y}_{13}+u_2{y}_{14}+u_3{y}_{15}+u_4{y}_{16}}$

${}^{z_6=x_6{y}_1+x_5{y}_2-x_8{y}_3+x_7{y}_4-x_2{y}_5+x_1{y}_6-x_4{y}_7+x_3{y}_8+u_6{y}_9+u_5{y}_{10}-u_8{y}_{11}+u_7{y}_{12}-u_2{y}_{13}+u_1{y}_{14}-u_4{y}_{15}+u_3{y}_{16}}$

${}^{z_7=x_7{y}_1+x_8{y}_2+x_5{y}_3-x_6{y}_4-x_3{y}_5+x_4{y}_6+x_1{y}_7-x_2{y}_8+u_7{y}_9+u_8{y}_{10}+u_5{y}_{11}-u_6{y}_{12}-u_3{y}_{13}+u_4{y}_{14}+u_1{y}_{15}-u_2{y}_{16}}$

${}^{z_8=x_8{y}_1-x_7{y}_2+x_6{y}_3+x_5{y}_4-x_4{y}_5-x_3{y}_6+x_2{y}_7+x_1{y}_8+u_8{y}_9-u_7{y}_{10}+u_6{y}_{11}+u_5{y}_{12}-u_4{y}_{13}-u_3{y}_{14}+u_2{y}_{15}+u_1{y}_{16}}$

${}^{z_9=x_9{y}_1-x_{10}{y}_2-x_{11}{y}_3-x_{12}{y}_4-x_{13}{y}_5-x_{14}{y}_6-x_{15}{y}_7-x_{16}{y}_8+x_1{y}_9-x_2{y}_{10}-x_3{y}_{11}-x_4{y}_{12}-x_5{y}_{13}-x_6{y}_{14}-x_7{y}_{15}-x_8{y}_{16}}$

${}^{z_{10}=x_{10}{y}_1+x_9{y}_2+x_{12}{y}_3-x_{11}{y}_4+x_{14}{y}_5-x_{13}{y}_6-x_{16}{y}_7+x_{15}{y}_8+x_2{y}_9+x_1{y}_{10}+x_4{y}_{11}-x_3{y}_{12}+x_6{y}_{13}-x_5{y}_{14}-x_8{y}_{15}+x_7{y}_{16}}$

${}^{z_{11}=x_{11}{y}_1-x_{12}{y}_2+x_9{y}_3+x_{10}{y}_4+x_{15}{y}_5+x_{16}{y}_6-x_{13}{y}_7-x_{14}{y}_8+x_3{y}_9-x_4{y}_{10}+x_1{y}_{11}+x_2{y}_{12}+x_7{y}_{13}+x_8{y}_{14}-x_5{y}_{15}-x_6{y}_{16}}$

${}^{z_{12}=x_{12}{y}_1+x_{11}{y}_2-x_{10}{y}_3+x_9{y}_4+x_{16}{y}_5-x_{15}{y}_6+x_{14}{y}_7-x_{13}{y}_8+x_4{y}_9+x_3{y}_{10}-x_2{y}_{11}+x_1{y}_{12}+x_8{y}_{13}-x_7{y}_{14}+x_6{y}_{15}-x_5{y}_{16}}$

${}^{z_{13}=x_{13}{y}_1-x_{14}{y}_2-x_{15}{y}_3-x_{16}{y}_4+x_9{y}_5+x_{10}{y}_6+x_{11}{y}_7+x_{12}{y}_8+x_5{y}_9-x_6{y}_{10}-x_7{y}_{11}-x_8{y}_{12}+x_1{y}_{13}+x_2{y}_{14}+x_3{y}_{15}+x_4{y}_{16}}$

${}^{z_{14}=x_{14}{y}_1+x_{13}{y}_2-x_{16}{y}_3+x_{15}{y}_4-x_{10}{y}_5+x_9{y}_6-x_{12}{y}_7+x_{11}{y}_8+x_6{y}_9+x_5{y}_{10}-x_8{y}_{11}+x_7{y}_{12}-x_2{y}_{13}+x_1{y}_{14}-x_4{y}_{15}+x_3{y}_{16}}$

${}^{z_{15}=x_{15}{y}_1+x_{16}{y}_2+x_{13}{y}_3-x_{14}{y}_4-x_{11}{y}_5+x_{12}{y}_6+x_9{y}_7-x_{10}{y}_8+x_7{y}_9+x_8{y}_{10}+x_5{y}_{11}-x_6{y}_{12}-x_3{y}_{13}+x_4{y}_{14}+x_1{y}_{15}-x_2{y}_{16}}$

${}^{z_{16}=x_{16}{y}_1-x_{15}{y}_2+x_{14}{y}_3+x_{13}{y}_4-x_{12}{y}_5-x_{11}{y}_6+x_{10}{y}_7+x_9{y}_8+x_8{y}_9-x_7{y}_{10}+x_6{y}_{11}+x_5{y}_{12}-x_4{y}_{13}-x_3{y}_{14}+x_2{y}_{15}+x_1{y}_{16}}$

kus

$u_1=\frac{(a{x}_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2)x_9-2x_1(b{x}_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_2=\frac{(x_1^2+a{x}_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2)x_{10}-2x_2(x_1{x}_9+b{x}_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_3=\frac{(x_1^2+x_2^2+a{x}_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2)x_{11}-2x_3(x_1{x}_9+x_2{x}_{10}+b{x}_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_4=\frac{(x_1^2+x_2^2+x_3^2+a{x}_4^2+x_5^2+x_6^2+x_7^2+x_8^2)x_{12}-2x_4(x_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+b{x}_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_5=\frac{(x_1^2+x_2^2+x_3^2+x_4^2+a{x}_5^2+x_6^2+x_7^2+x_8^2)x_{13}-2x_5(x_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+b{x}_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_6=\frac{(x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+a{x}_6^2+x_7^2+x_8^2)x_{14}-2x_6(x_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+b{x}_6{x}_{14}+x_7{x}_{15}+x_8{x}_{16})}{c}$

$u_7=\frac{(x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+a{x}_7^2+x_8^2)x_{15}-2x_7(x_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+b{x}_7{x}_{15}+x_8{x}_{16})}{c}$

$u_8=\frac{(x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+a{x}_8^2)x_{16}-2x_8(x_1{x}_9+x_2{x}_{10}+x_3{x}_{11}+x_4{x}_{12}+x_5{x}_{13}+x_6{x}_{14}+x_7{x}_{15}+b{x}_8{x}_{16})}{c}$

da

$a=-1,b=0,c=x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2.$