Search Results for ""

An efficient version of the Walsh transform that requires O(nlnn) operations instead of the n^2 required for a direct Walsh transform (Wolfram 2002, p. 1072).

The matrix product of a square set of data d and a matrix of basis vectors consisting of Walsh functions. By taking advantage of the nested structure of the natural ordering ...

The Walsh functions consist of trains of square pulses (with the allowed states being -1 and 1) such that transitions may only occur at fixed intervals of a unit time step, ...

The statistical index P_W=(sumsqrt(q_0q_n)p_n)/(sumsqrt(q_0q_n)p_0), where p_n is the price per unit in period n and q_n is the quantity produced in period n.

An even Walsh function with sequency k defined by Cal(n,k)=W(n,2k+1).

An odd Walsh function with sequency k defined by Sal(n,k)=W(n,2k).

The sequency k of a Walsh function is defined as half the number of zero crossings in the time base.

A polyhedron or plane tessellation is called semiregular if its faces are all regular polygons and its corners are alike (Walsh 1972; Coxeter 1973, pp. 4 and 58; Holden 1991, ...

There are at least three theorems known as Jensen's theorem. The first states that, for a fixed vector v=(v_1,...,v_m), the function |v|_p=(sum_(i=1)^m|v_i|^p)^(1/p) is a ...

The zeros of the derivative P^'(z) of a polynomial P(z) that are not multiple zeros of P(z) are the positions of equilibrium in the field of force due to unit particles ...