Sentence examples for which we will derive from inspiring English sources
from which we will derive a contradiction.
However, the presented algorithm will be the starting point from which we will derive a feasible system.
By virtue of this interest, we state its content as an explicit result from which we will derive some interesting consequences.
We consider a non linear boundary value problem (the -Laplacian) from which we will derive the asymptotic expansion of the Mumford-Shah functional.
We begin in this paper with the characterization of (self-adjoint) boundary conditions with optimal regularity, for which we will derive the heat asymptotics and index theorems in subsequent publications.
The basic idea is to design a selective entropy-based energy functional which is effective and robust against noise, from which we will derive the level set equations and a new selective entropy external forces for the lattice Boltzmann D2Q5 partial differential equation (PDE) solver.
We will derive a new format, which contains only two unknowns.
A model orientation index is derived which we will call OI′ to distinguish it from the experimentally measured OI [ 43, 44]: (1) OI ′ = ∫ 0 2 π ∫ 0 π / 2 cos 4 θ F d θ d ϕ ∫ 0 2 π ∫ 0 π / 2 F d θ d ϕ, where F is the angular distribution function where θ and ϕ are orthogonal.
Also, we will present some applications for the established results, in which we will use the present inequalities to derive new bounds for unknown functions in certain delay dynamic equations on time scales.
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