A compact Riemann surface of genus g, g > 1, can be decomposed into pairs of pants, i.e., into three hole spheres, by cutting the surface along 3g 3 simple closed non{intersecting geodesic curves. These curves can always be chosen in such a way that their hyperbolic lengths are bounded by 21g ([7]). First length controlled decompositions of Riemann surfaces into pairs of pants were found by Lip...

Introduction 2 • PTIME decidable uniform word problems for quasi-varieties • CS applications: type inference systems, program analysis, decision procedures in ATP • fundamental effective methods for establishing PTIME upper bounds • local theories (Givan, McAllester 92) capture PTIME • algebraic criteria by Skolem (1920), Evans (1951), and Burris (1995) • relation between these criteria Introdu...

In this paper, we investigate some results on hoop algebras and hyper hoop-algebras. We construct a hoop and a hyper hoop on any countable set. Then using the notion of the fundamental relation we define the fundamental hoop and we show that any hoop is a fundamental hoop and then we construct a fundamental hoop on any non-empty countable set.

This study explored the free vibration problem in relation to glass fiber reinforced polymer (GFRP) plates with central cutouts and free boundaries using theoretical, experimental, and numerical methods. The theoretical formulations were derived from the classical lamination plate theory. The rectangular cutout was mathematically modeled into the stiffness matrix of the plate by multiplying Hea...

the aim of my argument (1) is to reconceptualise what is now called religious studies as the study of institutionalised values, and the relation between values and the legitimation of power in a specific society. though i do not talk much about power here, it is always a fundamental issue in the study of specific social groups.the first assumption which i make in this paper is that the way anal...

The purpose of this paper is study the relationship between the categories of fuzzy multialgebras and crisp algebras. In this regards first we briefly study the categories of multialgebras and fuzzy multialgebras and then by using the fundamental relation of multialgebras we construct a functor from category of fuzzy multialgebras to the category of fuzzy algebras and hence. Hence it can be der...