In 1971, Schelling introduced a model in which families move if they have too many neighbors of the opposite type. In this paper, we will consider a metapopulation version of the model in which a city is divided into N neighborhoods, each of which has L houses. There are ρNL red families and ρNL blue families for some ρ < 1/2. Families are happy if there are ≤ ρ(c)L families of the opposite typ...

For a set G and a family of sets F let DF (G) = {F ∈ F : F ∩ G = ∅} and SF (G) = {F ∈ F : F ⊆ G or G ⊆ F}. We say that a family is l-almost intersecting, (≤ l)-almost intersecting, l-almost Sperner, (≤ l)-almost Sperner if |DF (F )| = l, |DF (F )| ≤ l, |SF (F )| = l, |SF (F )| ≤ l (respectively) for all F ∈ F . We consider the problem of finding the largest possible family for each of the above...

The class NC of problems solvable by bounded fan-in circuit families of logarithmic depth is known to be contained in logarithmic space L, but not much about the converse is known. In this paper we examine the structure of classes in between NC and L based on counting functions or, equivalently, based on arithmetic circuits. The classes PNC and C=NC, defined by a test for positivity and a test ...

LetN={l,..., n} and (7) = {Xc N: 1X(= i}. If 9 is a family of subsets of N, then let 5$ = {X E 9: 1x1 = i} and A = 141, i = 0, . . . , n. The vector f = &.*-7.L) is called the profile of 9. If A is a class of families, let p(A) be the set of profiles of the families belonging to A, (p(A)) be its convex hull in the space [Wn+l and E(A) be the set of all extreme points (i.e. vertices) of the poly...

a faunestic survey of the euoribatid mites of shendabad region (east azerbaijan province, iran), was carried out during three different times of the year 2008 (mid-july, mid-august as well as mid-september). by use of the berlese funnel, the mites were extracted, cleared in nesbitt’s fluid following which microscopic slides were prepared. during the study, 31 species belonging to 21 genera, 13 ...

The value distribution of derivatives of characteristic polynomials of matrices from SO(N) is calculated at the point 1, the symmetry point on the unit circle of the eigenvalues of these matrices. We consider subsets of matrices from SO(N) that are constrained to have n eigenvalues equal to 1, and investigate the first non-zero derivative of the characteristic polynomial at that point. The conn...

Hybrid Euler-Hadamard products have previously been studied for the Riemann zeta function on its critical line and for Dirichlet Lfunctions in the context of the calculation of moments and connections with Random Matrix Theory. According to the Katz-Sarnak classification, these are believed to represent families of L-function with unitary symmetry. We here extend the formalism to families with ...

An attempt has been made to evaluate pollution status and aquatic bio-resources of the Moirang river near its mouth in the Loktak Lake. The river water is considered polluted as it has high concentration of free CO2 (14.8 mg/l), nitrite-nitrogen (0.040 mg/l), inorganic phosphorus (0.107 mg/l and faecal coliform bacteria (162/100 ml). Aquatic bio-resources of the river include 24 species of fish...

In this paper we consider the Suzuki curve y + y = x0(x + x) over the field with q = 2 elements. The automorphism group of this curve is known to be the Suzuki group Sz(q) with q(q − 1)(q + 1) elements. We construct AG codes over Fq4 from a Sz(q)-invariant divisor D, giving an explicit basis for the Riemann-Roch space L(lD) for 0 < l ≤ q − 1. These codes then have the full Suzuki group Sz(q) as...

Let L be a bounded lattice, let [a, b] and [c, d] be intervals of L, and let φ : [a, b] → [c, d] be an isomorphism between these two intervals. Let us consider the algebra L↔ φ = 〈L;∧,∨, φ, φ−1〉, which is a lattice with two partial unary operations. We construct a bounded lattice K (in fact, a convex extension of L) such that the congruence lattice of L↔ φ is isomorphic to the congruence lattic...