Sentence examples for method of calculus from inspiring English sources

The method of calculus of variation is used to determine profile functions for maximum value.

The advocated approach is the direct method of calculus of variations based on inverse dynamics in the virtual domain.

In the work of Meng et al. [16], the active contour-based energy function was minimized by level set techniques and the method of calculus of variations.

Anyway, it is important to note that an easy use of the Direct Method of Calculus of Variations (i.e. taking a minimizing sequence, saying that it is compact in some topology—here it is the weak convergence of probability measures finding a limit, and proving semicontinuity, or continuity, of the functional we minimize, so that the limit is a minimizer) proves that a minimum does exist.

The proofs are based on familiar methods of calculus.

Unlike many of their deterministic counterparts, stochastic partial differential equations are not amenable to the methods of calculus of variations à la Euler Lagrange.

But, as IBS Research's Mark Bentley points out, accurately assessing the market share of ISPs is difficult due to the lack of independent sector oversight as well as the inconsistent and suspect methods of calculus used by the ISPs.

So, (Phi_{r} u rightarrow+infty) as (Vert uVert rightarrow+infty), which shows that (Phi_{r}) is coercive on E. Since E is a weakly closed subspace of (H_{T}^{1}), using the direct method of the calculus of variations, we see that there exists (u^{ast}in E) such that Phi_{r}bigl u^{ast}bigr)=inf_{E} Phi_{r}.

In 1812 they founded the Analytical Society of Cambridge to introduce continental methods of mathematical calculus into English practice.

Treating this restricted mean square prediction error as a function of the two coefficients (a, b) and minimizing it by methods of the calculus yield the optimal coefficients: b̂ = E{[ X − E X][Y − E Y)]}/Var(X) and â = E(Y) − b̂E(X).

The methods of sequent calculus, especially, permit the analysis of proofs with profound results.