The mandate for land managers to address cumulative watershed effects (CWEs) requires that planners evaluate the potential impacts of their activities on multiple beneficial uses within the context of other coexisting activities in a watershed. Types of CWEs vary with the types of land-use activities and their modes of interaction, but published studies illustrate both descriptive and predictiv...

In this paper, we consider some aspects related to determining the linear complexity of sequences over GF(2n). In particular, we study the effect of changing the finite field basis on the minimal polynomials, and thus on the linear complexity, of sequences defined overGF(2n) but given in their binary representation. Let a={ai} be a sequence overGF(2n). Then ai can be represented by ai = ∑n−1 j=...

Let G = (V, E) be a multigraph with no loops on the vertex set V = {1, 2, . . . , n}. Define S+(G) as the set of symmetric positive semidefinite matrices A = [aij ] with aij 6= 0, i 6= j, if ij ∈ E(G) is a single edge and aij = 0, i 6= j, if ij / ∈ E(G). Let M+(G) denote the maximum multiplicity of zero as an eigenvalue of A ∈ S+(G) and mr+(G) = |G|−M+(G) denote the minimum semidefinite rank of...

where the matrix a(y)= (aij(y)) is symmetric positive de nite, whose entries are periodic functions of y with periodic cell Y . More speci cally we assume aij ∈C1; ( ); ¿ 0. It is also assumed that there exists positive constants a and a such that a‖ ‖2 6 aij(y) i j 6 a‖ ‖2 for all ∈ 2 and y∈ Y . The major goal in this paper is to develop a numerical approximation scheme on a mesh size h¿ (or h...

j=1 aijgj(uj(t)) + Ii (i = 1, · · · , n) (1, 1) where gj(x) are activation functions, di, aij are constants and Ii are constant inputs. In practice, however, the interconnections contain asynchronous terms in general, and the interconnection weights aij, bij , self-inhibition di and inputs Ii should depend on time, often periodically. Therefore, we need to discuss the following dynamical system...

The model: The global responses of a network node i (to perturbations which do not directly affect node i) have a linear relationship with the global responses of its potential regulators. This relationship was previously derived in [3] and the resulting formulation is known as Modular Response Analsys or MRA. We proposed a modified version of MRA by introducing a binary indicator variable Aij ...

We define a class of formal expansions ∑∞ `=−∞ α`z ` of a rational function with at least one nonzero pole. To distinct formal expansions ∑∞ `=−∞ α`z ` and ∑∞ `=−∞ β`z ` in this class we associate structured arrays A = (aij) ∞ i,j=1 and B = (bij) ∞ i,j=1, defined by aij = ∑k ν=1 aναpνi+qj+τν and bij = ∑k ν=1 aνβpνi+qj+τν , where q ( 6= 0), p1, . . . , pk , and τ1, . . . , τk are integers and a1...

Abstract Adjacency matrix A(G)=[aij] yields the graph energy, which is equal to addition of absolute values eigenvalues G. This research investigates energy class in terms another after removing a vertex. After deleting vertex, relationship between complete E[ k n ] and splitting E(S’ [ ]) discovered.

In 1974 J. Maynard Smith introduced the fundamental notion of an evolutionarily stable strategy (ESS) in order to explain the evolution of genetically determined social behaviour within a single animal species. If the possible pure strategies for contests within a species are 1,2, . . ., ~1, and if A = (aij) is the payoff matrix, then aij is the payoff for the pure strategy i played against the...

The cut-norm ||A||C of a real matrix A = (aij)i∈R,j∈S is the maximum, over all I ⊂ R, J ⊂ S of the quantity | ∑ i∈I,j∈J aij |. We show that there is an absolute positive constant c so that if A is the n by n identity matrix and B is a real n by n matrix satisfying ||A−B||C ≤ 1 16 ||A||C , then rank(B) ≥ cn. Extensions to denser binary matrices are considered as well.