We study the mechanism by which gravitational actions reproduce the trace anomalies of the holographically related conformal field theories. Two universal features emerge: a) the ratios of type B trace anomalies in any even dimension are independent of the gravitational action being uniquely determined by the underlying algebraic structure b) the normalization of the type A and the overall norm...

Let $G$ be a simple connected graph. In this paper, Szeged dimension and PI$_v$ dimension of graph $G$ are introduced. It is proved that if $G$ is a graph of Szeged dimension $1$ then line graph of $G$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Sze...

The goal of this work is to develop a computation-based account of higher-dimensional type theory for which canonicity at observable types is true by construction. Types are considered as descriptions of the computational behavior of terms, rather than as formal syntax to which meaning is attached separately. Types are structured as collections of terms of each finite dimension. At dimension ze...

We show that the decreasing dimension method proposed by Wang and Jiang in \Solution of the System of Linear Algebraic Equations by Decreasing Dimension", Appl. Math. Comput, 109 (2000) 51{57, is a type of Schur complement domain decomposition method. The decreasing dimension method is more expensive than the standard Schur complement domain decomposition method for solving any linear systems. ...

We describe a strategy which allows one to produce computer assisted proofs of almost everywhere strong convergence of Jacobi-Perron type algorithms in arbitrary dimension. Numerical work is carried out in dimension three to illustrate our method. To the best of our knowledge this is the rst result on almost everywhere strong convergence in dimension greater than two.

Gender difference in all fields of medicine and biology has recently become a topic great interest. At present, most studies report gender differences their secondary analysis; however, this information receives scant attention from clinicians, is often overwhelmed by press trumpeting the overall main positive results. Furthermore, more importantly, any statistical evaluation results obtained w...

In this paper we study the scattering of non-radial solutions in energy space to coupled system nonlinear Schrödinger equations with quadratic-type growth interactions dimension five without mass-resonance condition. Our approach is based on recent technique introduced by Dodson and Murphy (Math Res Lett 25:1805–1825, 2018), which relies an interaction Morawetz estimate. It proved that any solu...