Symbolic Method

Symbolic Method

Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1311-3237-7
Объём: 124 страниц
Масса: 209 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In mathematics, the symbolic method in invariant theory is a highly formal algorithm developed in the 19th century for computing form invariants — invariants of algebraic forms. It is based on repeated applications of the Omega process (which involves symbolic partial differentiation -- hence the name) to increase the number of variables of a homogeneous form while decreasing the degree. By clever mathematics, the invariant of the form is then reduced to a vector invariant of many dependent variables, most of which then cancel out. In the classical 19th century definition, a form invariant is a function of the coefficients of a (usually binary) form. It is invariant if it remains the same under any transformation in the transformation group in question.

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