We present a unifying view of discrete-time operator models used in the context of finite word length linear signal processing. Comparisons are made between the recently presented gamma operator model, and the delta and rho operator models for performing nonlinear system identification and prediction using neural networks. A new model based on an adaptive bilinear transformation which generaliz...

In a Euclidean space functional integral treatment of the free energy of QCD, a chemical potential enters only through the functional determinant of the Dirac operator which for any flavor is /D+m-mu(f)gamma(0) (where mu(f) is the chemical potential for the given flavor). Any nonzero mu alters all of the eigenvalues of the Dirac operator relative to the mu=0 value, leading to a naive expectatio...

Let \(X\) be a real reflexive Banach space and \(X^*\) its dual space. \(G_1\) \(G_2\) open subsets of such that \(\overline G_2\subset G_1\), \(0\in G_2\), is bounded. \(L: X\supset D(L)\to X^*\) densely defined linear maximal monotone operator, \(A:X\supset D(A)\to 2^{X^*}\) positively homogeneous operator degree \(\gamma>0\), \(C:X\supset D(C)\to bounded demicontinuous type \((S_+)\) with...

Let $\\Omega \\subset \\mathbb{R}^d$ be a bounded open set with Lipschitz boundary $\\Gamma$. It will shown that the Jordan chains of m-sectorial second-order elliptic partial differential operators measurable coefficients and (local or non-local) Robin conditions in $L_2(\\Omega)$ can characterized help Dirichlet-to-Neumann map operator from $H^{1/2}(\\Gamma)$ into $H^{-1/2}(\\Gamma)$. This re...

background: several landmine detection methods, based on nuclear techniques, have been suggested up to now. neutron-induced gamma emission, neutron and gamma attenuation, and fast neutron backscattering are the nuclear methods used for landmine detection. in this paper an optimized (safe and effective) moderating structure using an 241am-be neutron source for detecting landmines has been invest...

We consider corner scattering for the operator $\nabla \cdot \gamma(x)\nabla +k^2\rho(x)$ in $\mathbb{R}^2$, with $\gamma$ a positive definite symmetric matrix and $\rho$ scalar function. A is referred to one that on boundary of (compact) support $\gamma(x)-I$ or $\rho(x)-1$, where $I$ stands identity matrix. assume function small neighborhood corner. show any admissible incident field will be ...

In this paper, we study the existence of multiple solutions for boundary value problem\begin{equation}\Delta_{\gamma} u+f(x,u)=0 \quad \mbox{ in } \Omega, u=0 on \partial \notag\end{equation}where $\Omega$ is a bounded domain with smooth $\mathbb{R}^N \ (N \ge 2)$ and $\Delta_{\gamma}$ subelliptic operator type $$\Delta_\gamma: =\sum\limits_{j=1}^{N}\partial_{x_j} \left(\gamma_j^2 \partial_{x_j...

Abstract For any congruence subgroup $\Gamma $, we study the vertex operator algebra $\Omega ^{ch}(\mathbb H,\Gamma )$ constructed from $-invariant global sections of chiral de Rham complex on upper half plane, which are holomorphic at all cusps. We construct a basis in terms modular forms $ and compute its character. show that operations determined by modification Rankin–Cohen brackets forms.

Preliminary work has started for the decommissioning of the research reactor MR at the RRC «Kurchatov Institute». One of stages of preliminary work for the decommissioning of a research reactor is the carrying out of radiation survey. An automatic system Gamma locator for the remote measurement of radioactivity in the reactor areas was developed. The «gamma locator» is a spectrometric system de...