Mathematical formulas

Algebra

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Algebra
Polynomials
Multi-index and total degree

11. Polynomials

Multi-index and total degree

Level: intermedio

In 11. Polynomials

Formula

x_1^{\alpha_1}\cdots x_n^{\alpha_n},

Equivalent form

|\boldsymbol\alpha| = \alpha_1+\cdots+\alpha_n.

Equivalent form

\deg P = \max_{c_{\boldsymbol\alpha}\neq0} |\boldsymbol\alpha|.

Tags

algebra
algebra formula
polynomials

Detail

Measures the degree of multivariable terms by summing their exponents.

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