This paper surveys state of the art low-power techniques for both single and multicore systems. Based on our proposed power management model for multicore systems, we present a classification of total power reduction techniques including both leakage and active power. According to this classification, three main classes are discussed: power optimization techniques within the cores, techniques f...

Abstract. In this paper we introduce doubly symmetric functions, arising from the equivalence of particular linear combinations of Schur functions and hook Schur functions. We study algebraic and combinatorial aspects of doubly symmetric functions, in particular as they form a subalgebra of the algebra of symmetric functions. This subalgebra is generated by the odd power sum symmetric functions...

An accurate solution procedure based on the three-dimensional elasticity theory for the free vibration analysis of Functionally Graded Sandwich (FGS) plates is presented. Since no assumptions on stresses and displacements have been employed, it can be applied to the free vibration analysis of plates with arbitrary thickness. The two-constituent FGS plate consists of ceramic and metal graded thr...

Inspired by the results of [APR], we propose combinatorial Gelfand models for semigroup algebras of some finite semigroups, which include the symmetric inverse semigroup, the dual symmetric inverse semigroup, the maximal factorizable subsemigroup in the dual symmetric inverse semigroup, and the factor power of the symmetric group. Furthermore we extend the Gelfand model for the semigroup algebr...

Abstract A yet unexplained feature of the tropical wavenumber-frequency spectrum is its parity distributions, i.e., distribution power between meridionally symmetric and anti-symmetric components spectrum. Due to linearity decomposition Fourier analysis, total spectral equals sum contained in each these two components. However, need not be evenly distributed Satellite observations reanalysis da...

Abstract—This paper introduces two new type active quasi circulators and three new type active circulators which use the outof-phase power divider/combiner, symmetric/anti-symmetric couplers and generic unilateral amplifiers. The proposed circuits are full-symmetric and composed of conventional microwave devices. Analytical relations for active quasi circulator modules are described. These modu...

Symmetric and asymmetric solitons that form in self-focusing optical waveguides with parity-time (PT )-symmetric double-hump Scarff-II potentials are investigated. It is shown that the branch corresponding to asymmetric solitons bifurcates out from the base branch of PT -symmetric solitons with the increasing of the input power. The stability of symmetric and asymmetric stationary solitons is i...

A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partitions under the diagonal action of a Young subgroup of a symmetric group. We define a MacMahon chr...

In this note, a deep connection between free field realisations of conformal field theories and symmetric polynomials is presented. We give a brief introduction into the necessary prerequisites of both free field realisations and symmetric polynomials, in particular Jack symmetric polynomials. Then we combine these two fields to classify the irreducible representations of the minimal model vert...