Improvements of various methods to compute the sign function of the hermitian Wilson-Dirac matrix within the overlap operator are presented. An optimal partial fraction expansion (PFE) based on a theorem of Zolotarev is given. Benchmarks show that this PFE together with removal of converged systems within a multi-shift CG appears to approximate the sign function times a vector most efficiently....

In this work, we study the existence ofC local solutions to 2-Hessian equation in R . We consider the case that the right hand side function f possibly vanishes, changes the sign, is positively or negatively defined. We also give the convexities of solutions which are related with the annulation or the sign of right-hand side function f . The associated linearized operator are uniformly elliptic.

Using growth diagrams, we define skew domino Schensted algorithm which is a domino analogue of “Robinson-Schensted algorithm for skew tableaux” due to Sagan and Stanley. The color-to-spin property of Shimozono and White is extended. As an application, we give a simple generating function for a weighted sum of skew domino tableaux whose special case is a generalization of Stanley’s sign-imbalanc...

The article describes the application of Python for verification a newly designed method CO2 prediction from measurements indoor parameters temperature and relative humidity within occupancy monitoring in real conditions family home. implementation non-electric quantities (indoor concentration, temperature, humidity) measurement five rooms home (living room, kitchen, children’s bathroom, bedroo...

t his study investigates the factors affecting the demand for new residential buildings in urban areas of iran during 1976-2010. the demand function for new residential buildings in urban areas was estimated and then the existence of a long-run relationship among variables of this function was studied using the bounds testing of the autoregressive distributed lag co-integration procedure. the t...

This paper presents new inference techniques about language based on my theory of linguistic antinomies––pairs of apparently contradictory statements that complement each other. Since the cells, that is, the basic units of language are signs, the antinomies of language are the antinomies of signs and sign combinations. 1. Antinomy of the existence of language as part of the mind I take the conc...