We present an extension of the development of an alternating minimization (AM) method for the computation of a specimen’s complex transmittance function (magnitude and phase) from DIC images. The ability to extract both quantitative phase and amplitude information from two rotationally-diverse DIC images (i.e., acquired by rotating the sample) extends previous efforts in computational DIC micro...

Abstract We consider nonlinear reaction systems satisfying mass-action kinetics with slow and fast reactions. It is known that the fast-reaction-rate limit can be described by an ODE Lagrange multipliers a set of constraints ask reactions to in equilibrium. Our aim study limiting gradient structure which available if system satisfies detailed-balance condition. The on concentration vectors give...

In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic well hyperbolic to the (2+1)-dimensional Chiral nonlinear Schröginger equation (CNLSE) which is used a governing discuss in quantum field theory. The mechanisms are obtain these extended rational sine-cosine/sinh-cosh constraint conditions for existe...

We give a non trivial upper bound, Fh(g, N), for the size of a Bh[g] subset of {1, ...., N} when g > 1. In particular, we prove F2(g, N) ≤ 1.864(gN) + 1 Fh(g, N) ≤ 1 (1 + cosh(π/h))1/h (hh!gN), h > 2. On the other hand we exhibit B2[g] subsets of {1, ...., N} with g + [g/2] √ g + 2[g/2] N + o(N) elements. 1. Upper bounds Let h ≥ 2, g ≥ 1 be integers. A subset A of integers is called a Bh[g]-seq...

In [7] a fast-reaction limit for linear reaction-diffusion system consisting of two diffusion equations coupled by reaction is performed. The understood as gradient flow the free energy in space probability measures equipped with geometric structure, which contains Wasserstein metric part and cosh-type functions part. done on level proving EDP-convergence tilting. induces Lagrange multipliers s...

In this paper we prove an analogue of the Ramanujan’s master theorem in setting Sturm Liouville operator $$\begin{aligned} \mathcal L=\frac{d^2}{dt^2} + \frac{A'(t)}{A(t)} \frac{d}{dt}, \end{aligned}$$on \((0,\infty )\), where \(A(t)=(\sinh t)^{2\alpha +1}(\cosh t)^{2\beta +1}B(t); \alpha ,\beta > -\frac{1}{2}\) with suitable conditions on B. When \(B\equiv 1\) get back Master for Jacobi operat...