Let p z be a monic polynomial of degree n with complex coef cients and let q z be its monic factor We prove an asymptotically sharp inequality of the form kqkE C n kpkE where k kE denotes the sup norm on a compact set E in the plane The best constant CE in this inequality is found by potential theoretic methods We also consider applications of the general result to the cases of a disk and a seg...

Fix two lattice paths P and Q from (0, 0) to (m, r) that use East and North steps with P never going above Q. Bonin et al. in [1] show that the lattice paths that go from (0, 0) to (m, r) and remain bounded by P and Q can be identified with the bases of a particular type of transversal matroid, which we call it a lattice path matroid. In this paper, we consider properties of lattice path matroi...

Some uniform categorical theoretical treatment of automata and lattice-valued fuzzy automata using quantale theory is studied in this paper. First, L-relational sheaves on a monoidM andQ-enriched categories are introduced for quantales L andQ, the equivalence of the corresponding categories are proved next. Then lattice-valued (fuzzy) automata are described by Q-enriched categories. In fact, la...

We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence relation. We show that for q = 2 our model transforms to the two-state vertex model on the Bethe lattice with q = 3 and for the case q = 3, with only nearest...

We present an investigation of the interquark potential determined from the q ̄q Bethe-Salpeter (BS) amplitude for heavy quarkonia in lattice QCD. The q ̄q potential at finite quark mass m(q) can be calculated from the equal-time and Coulomb gauge BS amplitude through the effective Schrödinger equation. The definition of the potential itself requires information about a kinetic mass of the quark....

In this talk, we discuss the maximum number of n × n pure imaginary quaternionic solutions to the Hurwitz matrix equations given by TiT ∗ j + TjT ∗ i = 2δijI, i, j = 1, . . . , p, where δij is the Kronecker delta. The numerical radius of weighted shift operators Speaker Mao-Ting Chien (Soochow University), [email protected] Co-author Hiroshi Nakazato (Hirosaki University). Abstract Let T be a ...

We performed an experiment using tritium and hydrogen cryogenic gas targets at Thomas Jefferson National Accelerator Facility (JLab) in 2018 (E12-17-003)[1, 2]. In this article, we discuss the Λ/Σ 0 hyperon electroproduction from target. Elementary production processes are important not only for absolute mass scale calibration our experiment, but also study of mechanisms themselves. reported re...

Nanoparticles of Mn0.5Zn0.5-xCdxFe2O4 with x varying from x = 0.0 to 0.3 were prepared by wet chemical co-precipitation method. The structural and magnetic properties were studied by using X-Ray Diffraction (XRD), Scanning Electron Microscope (SEM), Transmission Electron Microscopy (TEM) and Electron Paramagnetic Resonance (EPR) technique. ...

The study of specific heat is motivated by the fact that a sudden change in value might be interpreted as signal phase transition. It also an established multifractal analysis has been proved to highly effective characterizing fluctuations which considered important tool for understanding mechanism quark-gluon plasma (QGP) high energy nucleus-nucleus collisions. Present research work provides s...

∈ , ∈ ∨ q ) – fuzzy ideal (prime) of bounded lattice is introduced and its properties are studied. Mathematics Subject Classifications: 06B10, 06D72