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Standard quadratic forms and their classification

Bruno Autin
Organization: MathSoft Overseas

2004 International Mathematica Symposium
Conference location

Banff, Canada

A quadratic form is a second degree polynomial of one or several variables. Its standard form is either a sum of squares and of a constant or a sum of squares and of a first degree polynomial. A quadratic polynomial is reduced to its standard form through a linear transformation. Depending on the standard form, the second degree polynomials can be classified in canonical categories whose names are given by their geometrical representations in conics and quadrics for two- and three-variable polynomials respectively.

*Mathematics > Algebra > Polynomials

quadratic forms, polynomial, geometrical representations
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