Sentence examples for forms for calculating from inspiring English sources

As one part of this ongoing work, we reconsidered in this paper products of generalized inverses of two matrices, established a group of exact forms for calculating the ranks of the products, and described many performances of the products via the rank formulas.

Using this method of renormalization and the perturbation theory, Feynman developed an elegant form for calculating the likelihood of observing processes that are related to the interaction of electromagnetic radiation with matter to any desired degree of accuracy.

In [16], a theoretical study on collision recovery binary tree algorithm is proposed, and a closed form for calculating system efficiency is derived.

As a result, a system of equations (whose coefficients have a closed form) for calculating the coefficients of the sought solution is obtained.

Form 6251, for calculating the dreaded alternative minimum tax, has 54 steps.

The proposed method is a closed-form solution for calculating the probability of failure.

Figure 13c shows the form interface for calculating surface subsidence due mining sequence.

Closed form expressions for calculating the far-field radiation patterns are given here for the first time.

This paper studies the capability of four closed-form solutions for calculating cold expansion-induced residual stresses.

The main goal of the present work is to introduce a closed form solution for calculating elastic settlement of ring foundations.

Moreover, a closed-form formula for calculating the average response time of a request and a unified framework to manage different levels of SLAs are provided.