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Algebraic Equation -- from Wolfram MathWorld

An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...



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Algebraic Equation -- from Wolfram MathWorld

https://mathworld.wolfram.com/AlgebraicEquation.html

An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...



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https://mathworld.wolfram.com/AlgebraicEquation.html

Algebraic Equation -- from Wolfram MathWorld

An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...

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      Algebraic Equation -- from Wolfram MathWorld
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      An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...
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      An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...

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      An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...

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      An algebraic equation in n variables is an polynomial equation of the form f(x_1,x_2,...,x_n)=sum_(e_1,...,e_n)c_(e_1,e_2,...,e_n)x_1^(e_1)x_2^(e_2)...x_n^(e_n)=0, where the coefficients c_(e_1,e_2,...,e_n) are integers (where the exponents e_i are nonnegative integers and the sum is finite). Examples of algebraic equations are given in the following table. curve equation Cayley's sextic 4(x^2+y^2-x)^3-27(x^2+y^2)^2=0 eight curve x^4-(x^2-y^2)=0 line through (1,0) and (0,1) x+y-1=0 plane...
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