Sentence examples for obtained equality from inspiring English sources

By dividing it by, multiplying such obtained equality by and summing in from 1 to we get (4.9).

Let us multiply (3.5) by d c k N ( t ) d t, take the sum with respect to l from 1 to N, and integrate the obtained equality with respect to t from 0 to τ (0 < τ < ∞) to receive ( u t t N, u t N ) Ω t + B ( t, u N, u t N ) = ( f, u t N ) Ω t. (3.7).

After we integrate the obtained equality over ([0,t]), (tin,]0,T[), we get begin{aligned}[b] &frac{partial }{partial x} biggl( frac{lambda+2mu}{L}lnrho+frac {R}{L}int_{0}^{t} rho x,tau theta x,tau),dtau biggr) &quad= frac{lambda+2mu }{L}frac{partial }{partial x}ln rho_{0}(x -int_{0}^{t}r^{-2}(x -int_{frac{partial v(x,tau)}{partial t},dtau.

For instance, subgroups of the first partition consist of equally deserving individuals, for which one would like to obtain equality of outcomes, whereas subgroups of the second partition consist of individuals who have equal opportunities, so that inequalities among them do not matter.

Women are at the forefront of this struggle, well aware that they will obtain equality only within a truly democratic political order.

So, using (35), similar to (38), we obtain equality (36) and inequality (37), too.

Note that to obtain equality, the angular part of the Laplacian was added to the integrand.

In (2), by taking (exp (x t))=tilde{x}(t)) and (exp y(t))=tilde{y}(t)), we obtain equality (1), which is the standard predator-prey system with Beddington-DeAngelis functional response governed by ordinary differential equations.

Many also reject the traditional paradigm that Black's objective should be to neutralize White's initiative and obtain equality.

Proof If we take a = b = 1 and a = 1, b = − 1 in relation (7), then we obtain equalities (8) and (9).

It follows from (2.6), (2.7), and (2.2) that ak−6ωk−6(x k −0)=a k ω k (x k + 0); using linear independence of vectors ak−6and a k, we obtain equalities (2.1).