We present a novel approach for automated incremental verification that employs both reusable and relational specifications of software to incrementally verify pairs of programs with possibly nested loops. It analyzes two programs, P the one already verified, and Q the one needed to be verified, and proceeds by detecting an abstraction αP of P and a simulation ρ, such that αP simulates Q via ρ....

In this paper, we propose a general method for creating integer wavelet transforms which can be used in both lossless (reversible) and lossy compression of signals and images with arbitrary size. This method allows us to get a series of transformations which are very close to the corresponding biorthogonal wavelet transforms or some non-orthogonal wavelet transforms, but can be calculated with ...

We show that the class of 1-exact operator systems is not uniformly definable by a sequence of types. We use this fact to show that there is no finitary version of Arveson’s extension theorem. Next, we show that WEP is equivalent to a certain notion of existential closedness for C∗-algebras and use this equivalence to give a simpler proof of Kavruk’s result that WEP is equivalent to the complet...

The centers of the generic central simple algebras with involution are interesting objects in the theory of central simple algebras. These fields also arise as invariant fields for linear actions of projective orthogonal or symplectic groups. In this paper, we prove that when the characteristic is not 2, these fields are retract rational, in the case the degree is 8m and m is odd. We achieve th...

Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. They can also be considered as generalizations of ordinary root systems with rich structure and many new examples. On the other hand, Nichols algebras are fundamental objects in the construction of quantized enveloping algebras, in the noncommutative differential geometry of quantum g...

background: manual material handling is one of the major health and safety hazards in industry. this study aims to assess the lifting tasks, before and after intervention using niosh lifting equation and manual handling assessment charts (mac). methods: this interventional study was performed in 2011 in a tile manufacturing industry in hamadan, located in the west of iran. the prevalence of mus...

background: low back pain caused by work, ranked the second after cardiovascular diseases, are among the most common reasons of patients’ referral to the physicians in iran. this study aimed to determine the changes in back compressive force when measuring maximum acceptable weight of lift in iranian male students. methods: this experimental study was conducted in 2015 on 15 young male students...

This paper focuses on the following two questions relating to the inverse Galois problem: (1) (Beckmann [2]) Is every finite Galois extension of Q the specialization of a Galois branched covering of P defined over Q and with the same Galois group? (2) (Birch [3]) Given a finite group G, is there a tamely ramified normal extension F/Q with Gal(F/Q) ∼ = G? We obtain affirmative answers to these q...

1. Let Z be a locally compact space and / i ^ O a positive Radon measure on Z. Let MR(Z} /X) be the Banach algebra of all bounded real-valued /x-measurable functions defined on Z, endowed with the norm/—»||/||oo = sup2 G^|/(0)| . Let CR(Z) be the subalgebraof MR{Z,\X) consisting of all bounded continuous functions on Z and 3C(Z) the subalgebra of all ƒ G CR (Z) having compact support. For two f...

In this article we give a Galois-theoretic characterization of the canonical theta structure. The Galois property of the canonical theta structure translates into certain p-adic theta relations which are satisfied by the canonical theta null point of the canonical lift. As an application we give a purely algebraic proof of some 2-adic theta identities which describe the set of theta null points...