A $it{weighted~slant~Toep}$-$it{Hank}$ operator $L_{phi}^{beta}$ with symbol $phiin L^{infty}(beta)$ is an operator on $L^2(beta)$ whose representing matrix consists of all even (odd) columns from a weighted slant Hankel (slant weighted Toeplitz) matrix, $beta={beta_n}_{nin mathbb{Z}}$ be a sequence of positive numbers with $beta_0=1$. A matrix characterization for an operator to be $it{weighte...

Truth Diagrams, TDs, are a new diagrammatic notation for propositional logic. TDs provide: (1) representations of logical states of affairs and relations; (2) operators on such relations; (3) a test of the validity of derivations. A proof of one of de Morgan’s laws is given as an illustration of TDs. Truth Diagrams (TDs) were invented as part of a programme of research on the Representational E...

We cannot perform the projective measurement of a momentum on a half line since it is not an observable. Nevertheless, we would like to obtain some physical information of the momentum on a half line. We define an optimality for measurement as minimizing the variance between an inferred outcome of the measured system before a measuring process and a measurement outcome of the probe system after...

in this paper, some applications of the method of least squares (mls) for the solution of various problems in electromagnetics engineering is briefly reviewed. here, mls is employed for the solution of various problems such as solution of equations, curve fitting to measured data, generalized fourier coefficients, linear operator equations, inegro-differential equations, electrostatics and magn...

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

We prove that the massless Dirac operator in R with long-range potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrix-valued potentials are considered as well.

We introduce Chern-Simons interaction into the three dimensional fourfermi theory, and suggest a possible line of non-Gaussian infrared stable fixed points of the four-fermi operator, which is characterized by the Chern-Simons coupling. 0∗ [email protected]

PhiC31 integrase-based vectors can integrate therapeutic genes selectively into attP or pseudo-attP sites in genomes, but considerable numbers of pseudo-attP sites in human genomes exist inside endogenous gene-coding regions. To avoid endogenous gene disruptions, we aimed to enhance the integration site-specificity of the phiC31 integrase-based vector using a sequence-specific DNA-binding prote...

-Optimal and effective operation of a large power system requires analysis of a huge amount of information by the system operators. In a large power system, it is a challenge to present the vast amount of data in a way, which assists the operators in assessing the state of the system and responding expeditiously. Restructuring of the power sector worldwide, the advent of new market mechanisms a...