Sentence examples for linear sums from inspiring English sources

Using the Karhunen-Loeve expansion, the random input processes are represented in terms of truncated linear sums of orthonormal eigenfunctions with uncorrelated random variables as coefficients.

However, we note that because of the highly absorbing nature of the components and the fact that dilution cannot be used as the structures formed are concentration dependent, it is difficult to be certain that the spectra are truly linear sums of the components38.

The convolution theorem will be valid for functions (F_{1}) representing linear sums of functions of the form (t^{mu }).

We show that the linear sums (W_{k,k}^{ m-1)}[m;1]) is a rational linear combination of products of q-harmonic numbers and q-polylogarithms, and we give an explicit formula.

According to (20), the output variables are actual the linear sums of the power injections of which the weight coefficients are corresponded to the sensitivity elements assuming all the injections are independent from each other.

In this paper, we let N be the neutrix having the domain N ′ = { ϵ : 0 < ϵ < ∞ } and the range N ″ of real numbers, with negligible functions being finite linear sums of the functions ϵ λ ln r − 1 ϵ, ln r ϵ ( λ < 0, r ∈ N ).

Adds the function to the linear sum of functions.

Removes the function from the linear sum of functions.

This function is a composite of other functions and computes the linear sum of them.

In this model, the state variables are approximated as a linear sum of orthogonal polynomials.

Any state of equilibrium can be described as the linear sum of these axial load patterns.