Sentence examples for generalized product from inspiring English sources

This Fortran routine, named "K2ST", is based on the use of the generalized product -sum model, with nested structures, and appropriate space-time search neighborhoods.

In this paper, we introduce one of the most simple and efficient partition of unity, called the (generalized) product partition of unity.

Suppose that "generalized" product market neutrality holds.

Despite the additional complexity, Equation (37) yields three unambiguous results as long as there is generalized product market neutrality: 1.

For simplicity, suppose that "generalized" product market neutrality holds, so that the second term in both Equation (27) and Equation (37) vanishes24.

It is a nice way to define a generalized product between temperate distributions, which is continuous in fractional Sobolev spaces, and which yet does not make any sense for the usual product.

Reactions that share the same generalized reactants and the same generalized products, are considered equivalent and are factored together into a generalized reaction.

With the help of the convolution theorem, we introduce a generalized convolution product and generate a class of ultraBoehmians.

〈 x, x 〉 = 0 implies x = 0, then 〈 ⋅, ⋅ 〉 is called a generalized inner product and X is called an inner product module over A or an inner product C ∗ -module.

In this paper, we derive some interesting identities involving Gegenbauer polynomials arising from the orthogonality of those for the generalized inner product space (mathbf{P}_{n}) with respect to the weighted inner product.

We show that generalized Cartesian product derived from a tree and 1-balanced graphs are 1-balanced, and we use this to prove that the generalized Cartesian products derived from 1-balanced graphs are 1-balanced.