Sentence examples for formula of variation from inspiring English sources

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A key tool is a new formula of variation of constants that works for such quadratic equations.

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See Everitt and Markus [22], a solution x ( t ) of (2) is a column [ r ] -vector in A C loc ( I 1, M n × 1 ( C r × r ) ), which is determined by a controller u ( t ) on I 1 = [ t 0, t 1 ] ⊂ I, and an initial state x 0 ∈ M n × 1 ( C r × r ), according to the classical Lagrange formula of variations of parameters x ( t ) = X ( t, t 0 ) x 0 + ∫ t 0 t X ( t, s ) B ( s ) u ( s ) d s. (3).

A simple formula for the coefficient of variation of the estimator of the failure probability using the samples is also given.

According to the two-level formula, the variation of Δμ qualitatively explained the change of βtot.

Fractal model Formulas (3)–(5) are function of variation coefficient, skewness and characteristic value of pore structure.

The entire movie is itself a formula: another variation of "A Connecticut Yankee in King Arthur's Court" (with a nod to "The Wizard of Oz").

In this paper, we focus on measures based on variance, and therefore in the above formula, we apply the coefficient of variation as the inequality index.

We establish the first variation formula of the lowest constant (lambda_{a}^{b}(g)) along the Ricci flow and the normalized Ricci flow, such that to the following nonlinear equation there exist positive solutions: -Delta u+aulog u+bRu=lambda_{a}^{b} u (4.1) with (int_{M}u^{2},dv=1), where a is a real constant.

In this paper, we establish the first variation formula of the lowest constant (lambda_{a}^{b}(g)) along the Ricci flow and the normalized Ricci flow, such that to the following nonlinear equation there exist positive solutions: -Delta u+aulog u+bRu=lambda_{a}^{b} u with (int_{M}u^{2},dv=1), where a is a real constant.

The equation proposed to predict the deflection-CMOD relationship of SCC fits into the coefficient of variation of the formula for NVC.

Using appropriate formulae, we converted interquartile ranges, measures of variation, and 95% confidence intervals to standard deviations where the data appeared normally distributed [ 28].

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