This paper focuses on the relationship between an $L$-subset and the system of level-elements induced by it, where the underlying lattice $L$ is a complete residuated lattice and the domain set of $L$-subset is an $L$-partially ordered set $(X,P)$. Firstly, we obtain the sufficient and necessary condition that an $L$-subset is represented by its system of level-elements. Then, a new representat...

We report the results of a new calculation of soft-gluon corrections in B → Xsll decays. In particular, we present the first calculation of bremsstrahlung and corresponding virtual terms to the lepton forward–backward asymmetry, which allows us to systematically include all contributions to this observable beyond the lowest non-trivial order. The new terms are important, for instance the positi...

It is proved that the theta series of an even lattice whose level is a power of a prime l is congruent modulo l to an elliptic modular form of level 1. The proof uses arithmetic and algebraic properties of lattices rather than methods from the theory of modular forms. The methods presented here may therefore be especially pleasing to those working in the theory of quadratic forms, and they admi...

A design method for an L-band frequency quadrupler with composite right/left-handed transmission line is proposed. The left-handed transmission line in the proposed frequency quadrupler suppresses the fundamental component ( f0), while the composite right/left-handed l/4 open stub reduces unwanted higher-order harmonics. From the experimental results, unwanted harmonics are suppressed to achiev...

The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative fini...

A novel method for quantitation of cardiac muscle carnosine levels using HPLC-UV is described. In this simple and reliable method, carnosine from the rat cardiac muscle and the internal standard, thymopentin, were extracted by protein precipitation with acetonitrile. The method was linear up to 60.96 μg·mL(-1) for L-carnosine. The calibration curve was linear in concentration ranges from 0.5 to...

Let f be a primitive (holomorphic or Maaß) cusp form of level q and nontrivial nebentypus. Then for Re s = 1 2 the associated L-function satisfies L(f, s) q 1 4 − 1 1889 , where the implied constant depends polynomially on s and the archimedean parameters of f (weight or Laplacian eigenvalue). Résumé. Soit f une forme modulaire cuspidale primitive (holomorphe ou de Maaß) de niveau q et de carac...