Sentence examples for mathematical terms this from inspiring English sources

In mathematical terms this is achieved as follows.

In mathematical terms this amounts to construct certain functions F of a probability measure μ on [0,1] and to compute the infimum over μ.

In mathematical terms, this is expressed as the value of the dependent variable response Y change as a function of independent variables or adjustable variables like x1, x2, x3..., xn of n quantitative factors such that output equals f input).

In mathematical terms, this means that each chemical species has its own subspace and, therefore, when the technique of finite integral transform is applied to solve this multicomponent problem, each chemical species is associated with its own integral transform kernel.

In mathematical terms this notation corresponds to the expectation with respect to the conditional distribution that is indicated by the subscripts, e.g. stands for the expectation of the process with respect to the conditional distribution of ξ, conditioned on a realization of s and η, whereas stands for the total expectation.

In mathematical terms, this is equivalent to solve the following optimization problem: minimize P overall = ∑ j = 1 N P 1, j + ∑ j = 1 N P 2, j subject to R = R S, ∑ j = 1 N P i, j ≤ P 0, i = 1, 2. (2..

If one were to put this in mathematical terms: The Bush team came into office advocating foreign policy A. It ran into a world demanding more of foreign policy B. And if A plus B equals C, what will C be?

In mathematical terms, the spacing between bands would be described by the equation f(x) = 1/x.

In mathematical terms the result is equation (1).

In mathematical terms the mentioned fact can be represented as follows: (14).

He rejected all forms of idealism in philosophy and insisted that in principle all matter is quantifiable in mathematical terms, and this extends to the pains and pleasures that we experience the ultimate phenomena to which all human activity (and social concepts, such as rights, obligation, and duty) could be reduced and explained.