HADAMARD MEANDER




Meander of Hadamard Family Matrices


The existance of Hadamard matrices H, it follows from existance of Euler matrices: they exists for all orders n=4k–2, if meander is true, the Hadamard conjecture* is theorem. Transitions between E-, M-, H-matrices illustrated by on line algorithm are placed below.

*) See the conjecture 1 Kotsireas, Koukouvinos, Seberry, 2005 also, it commented by big set of samples calculated by generalised Legendre pairs: Fletcher, Gysin, Seberry, 2001.

MERSENNE MATRIX LEVEL b


b=(q–(4q)1/2)/(q–4), q=n+1, n=4k–1.

EULER MATRIX LEVEL b



b=(q–(8q)1/2)/(q–8), q=n+2, n=4k–2.

DETERMINANT GRAPH D=1/mn=nn/2/hn

Hadamard H, Belevitch C, Euler E, Mersenne M, Fermat F matrices, Cyan is Proclus.

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