Sentence examples for derived exactly from inspiring English sources

The dynamic member stiffness matrix of a three-dimensional shear beam with doubly asymmetric cross-section is derived exactly from the governing, sixth-order differential equation of motion.

Using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations, the Green's functions have been derived exactly and verified in both Laplace transform and time domains.

Indeed, the strident contempt that the Parkland kids earned from some quarters of the gun lobby derived exactly from the strength of their witness: they are not the élitist intellectuals or compulsive do-gooders or obsessive gun confiscators of fervid imagination.

The obtained Green's functions have been derived exactly, for the first time, using the linear form of the governing differential equations and considering the effects of non-linearity of the governing equations and have been verified in both frequency and time domains.

It is necessary to distinguish between distance matrices that are obtained in practice and those that can be derived exactly from n vectors in an affine subspace.

As long as these inputs are well-separated spatially, an M-dimensional reduced model could be derived exactly as shown for (M=2) in Sect.

Perhaps the opposition within science and orthodox statistics against the role of prior probabilities derives exactly from the sense that they are to some extent a presupposition of results of the inquiry.

We propose a simpler and accurate method for deriving exactly the same information based only on the relative position, with respect to the cell soma, of the bifurcation (Bi) and terminal points (Ti) of processes.

But these have a very simple form, and due to the very particular form of the fibers of (pi :widetilde{U^rightarrow U^,) it turns out that very few of these isomorphisms can satisfy the additional requirement of sending the fibers of (pi _{1}) to the fibers of (pi _{2}:widetilde{U_{2}^ rightarrow U_{2}^.) The rigidity derives exactly from this fact.

Deriving exactly would require to consider infinite subregions.

This is true because the derivative processes and the original processes are derived from exactly the same input, X t).