Sentence examples for generated from the method from inspiring English sources

The Trudinger inequality problem (TIP) is generated from the method of mathematical physics and nonlinear programming.

The variational inequality problem (VIP) is generated from the method of mathematical physics and nonlinear programming.

Recently Yao and Shahzad [24] proved that sequences generated from the method of resolvent given by z k + 1 = γ k z k + δ k J c k A ( z k ) + λ k e k, where J c k A = ( I + c k A ) − 1 is the resolvent of A, converge strongly to a point in A − 1 ( 0 ).

If C 1 and C 2 are closed vector spaces of a real Hilbert space ℋ, in 1933, von Neumann showed that any sequence { x n } is generated from the method of alternating projections: x 0 ∈ H, x 1 = P C 1 x 0, x 2 = P C 2 x 1, x 3 = P C 1 x 2, … .

When A and B are maximal monotone mappings in Hilbert spaces, Bauschke et al. [7] proved that sequences generated from the method of alternating resolvents given by { x 2 n + 1 = J β A ( x 2 n ), n ≥ 0, x 2 n = J μ B ( x 2 n − 1 ), n ≥ 0, (1.10,.

Then { x n } converges strongly to some x ¯ ∈ C 1 ∩ C 2. If C 1 and C 2 are nonempty closed convex subsets of ℋ, Bregman [3] showed that the sequence { x n } generated from the method of alternating projection converges weakly to a point in C 1 ∩ C 2. Hundal [4] showed that the strong convergence fails if C 1 and C 2 are nonempty closed convex subsets of ℋ.

To verify the method, σ-profiles and VCOSMO generated from the present method and from the DMol3 database are employed to calculate activity coefficients of 28,644 binary systems and 3410 liquid-liquid equilibria of ternary mixtures.

The maps generated with the P3 method were compared with maps generated from the COP method (Concentration of flow, Overlying layers, Precipitation) using known karst features as well as karst features inferred from analyzing a high resolution Digital Elevation Model (DEM) (COP-DEM method).

Clearly, in our case, we did not observe predominant distal intra-chromosomal interactions within all the distal interactions from sonication-based method, contrasting to the data generated from the enzyme method we used.

The standard curves generated from the Sanger/ESME method have variations ranging from 5% to over 20% error in quantitation, while the BSAS method produced variation consistently less than 5% error.

Concentration profiles determined by the transfer matrix method for a ternary Cu Ni Zn diffusion couple are shown to be identical to those generated from the Fujita Gosting method.