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Univariate polynomial solutions of algebraic difference equations
Difference equation Elementary symmetric polynomials Power-sum symmetric polynomials Newton–Girard formulæ System of linear equations
2015/5/6
Contrary to linear difference equations, there is no general theory of difference equations of the form G(P(x − τ1),..., P(x − τs)) +G0(x) = 0, with τi ∈ K, G(x1,..., xs) ∈ K[x1,..., xs] o...
An Algebraic Approach to Mathematical Models of Scales（图）
group halfgroup harmony dodecaphony semitones temperament Landini Matteo da Perugia Dufay Schutz Louis Couperin
2010/4/22
Although mathematical models of the scale have always been
characteristic of Western music theory, in the last 200 years they have
not been very much improved (although some interesting properties...