Sentence examples for finite expression from inspiring English sources

In my humble apprehension, unless there be some such clear and finite expression, this clause now under consideration will go to any thing our rulers may think proper.

Here we have an argument for the fact that God's essence is his existence, because His essence is not a restriction of esse to a finite expression or character.

In base 10, for example, only numbers with factors of 2 and 5 (e.g., 8 or 50) are regular, and the reciprocals (1/8 = 0.125, 1/50 = 0.02) have finite expressions; but the reciprocals of other numbers (such as 3 and 7) repeat infinitely and, respectively, where the bar indicates the digits that continually repeat).

Thereby the goal is to obtain finite expressions in terms of known functions like elementary, Liouvillian or special functions that annihilate the given differential equation upon substitution; they exist only in exceptional cases.

The adjoint equations are validated by means of a comparison between the adjoint solution and a finite difference expression.

The exact finite form expression of the effective stiffness tensor has been obtained by analytical averaging the local gradient and flux fields.

The exact finite form expression of the effective stiffness tensor has been obtained by analytical averaging the strain and stress fields.

Comparative box-and-whisker plots of finite gene expression levels compared with 18S rRNA are shown in Figure 1 and Supplementary Figures 1 and 2. The protease with the largest relative increase in expression was MMP11, which had a median expression in malignant OG tissue 28 times than that of benign tissue (P<0.001) (Table 2; Figure 1).

Rather than working with this three-field formulation, fluxes are modeled using finite difference expressions and then the traces are determined by imposing continuity of fluxes, although other strategies could be devised.

The method provides smooth solutions and explicit, nonstandard finite difference expressions for the displacement and velocity, and is exact for constant coefficients, linear ordinary differential equations with linear time-dependent forcings.

Section 3 provides finite summation expressions and the resultant performance analysis of CC-CDMA using different combining schemes.