I. INTRODUCTION Let Q = [0, 1] × [0, 1] denote the unit square and let L n be a set of n line segments in Q. Two line segments are said to be crossing if they intersect at any point. A subset of line segments is called non-crossing if no two segments in the subset are crossing. Consider the scenario where the endpoints of the n line segments are randomly distributed, independently and uniformly...

In this paper L is a lattice and l is an element of L. The scheme NonUniqExD1 deals with a non empty relational structure A , a subset B of A , a non empty subset C of A , and a binary predicate P , and states that: There exists a function f from B into C such that for every element e of A if e ∈ B, then there exists an element u of A such that u ∈ C and u = f (e) and P [e,u] provided the param...

IAl > ((l/k) + E)n then there is a subset B L A such that 0 < 1 BI 0, let snd(nt) denote the smallest integer that does not divide PI. We prove that for every I-: > 0 there is a constant c = ~(8:) z I, such that for every n > 0 and every rn, n ' +' 6 WI < n'llog'n...

In this paper we learn the new idea of forcing total outer independent edge geodetic number a graph. Let G be connected graph and R minimum set G. A subset L ⊆ is known as for if unique containing L. cardinality R. The denoted by (G) = min , where taken over all in Some general properties satisfied concept are studied. It shown that any couple integers l, m with0 < l ≤ − 4, there exists such .

The T4 (CD4) subset of T lymphocytes has been subdivided into two major subsets, a suppressor/inducer subset (T4+,2H4+) and a helper subset (T4+,2H4-) on the basis of the differential expression of the L-C/T200 (CD45) antigens. The 2H4 antigen itself comprises at least three distinct polypeptides at 125,200, and 220 X 10(3) Mr, of which the 200 and 220 X 10(3) Mr polypeptides constitute the hig...

For $10$ such that \[ \|{ P }\|_{L^p(\Omega,\mathbb{R}^{3\times3})}\leq c\,\left(\|{\operatorname{de...

We consider the problem of maximum concentration in a fixed measurable subset $$\Omega \subset {\mathbb {R}}^{2d}$$ time-frequency space for functions $$f\in L^2({\mathbb {R}}^{d})$$ . The notion can be made mathematically precise by considering $$L^p$$ -norm on $$ some time–frequency distribution f such as ambiguity function A(f). provide positive answer to an open maximization problem, showin...

In this paper, we discuss the properties of some elements in autometrized algebra. We also introduce normal Furthermore, obtain l-algebras among semialgebras satisfying several conditions and discussing its properties. prove that a semialgebra certain is lattice distributive. Finally, establish an equivalent condition between l-algebra representable algebra with conditions. conditions, there ex...

We provide a necessary and sufficient condition to ensure that multi-tile ? ? ...