* An observation model, Pf , indexed by f ∈ F . Pf denotes the distribution of the data under model f . E.g. In regression and classification, this is the distribution of Z = (X1, Y1, . . . , Xn, Yn) ⊆ Z. We will assume that Pf is a probability measure on the measurable space (Z,B). * A performance metric d(., .). ≥ 0. If you have a model estimate f̂n, then the performance of that model estimate...

In human populations, variation in mate availability has been linked to various biological and social outcomes, but the possible effect of mate availability on health or survival has not been studied. Unbalanced sex ratios are a concern in many parts of the world, and their implications for the health and survival of the constituent individuals warrant careful investigation. We indexed mate ava...

Let k be an algebraically closed field of characteristic exponent p ≥ 1. Let G be a connected reductive algebraic group over k and let g be the Lie algebra of G. Note that G acts on G and on g by the adjoint action and on g by the coadjoint action. (For any k-vector space V we denote by V ∗ the dual vector space.) Let GC be the reductive group over C of the same type as G. Let UG be the variety...

Let Γ be a finitely generated group having the property that any action of any finite-index subgroup of Γ by homeomorphisms of the circle must have a finite orbit. (By a theorem of É. Ghys, lattices in simple Lie groups of real rank at least 2 have this property.) Suppose that such a Γ acts on a compact manifold M by automorphisms of a codimension-one C foliation, F . We show that if F has a co...

A finite subset Y on the unit sphere Sn−1 ⊆ Rn is called a spherical design of harmonic index t, if the following condition is satisfied: ∑ x∈Y f(x) = 0 for all real homogeneous harmonic polynomials f(x1, . . . , xn) of degree t. Also, for a subset T of N = {1, 2, · · · }, a finite subset Y ⊆ Sn−1 is called a spherical design of harmonic index T, if ∑ x∈Y f(x) = 0 is satisfied for all real homo...

The Hosoya index of a graph is defined as the total number of its matchings. In this paper, we obtain that the largest Hosoya index of (n, n+1)-graphs is f (n+1)+f (n−1)+2f (n−3), where f (n) is the nth Fibonacci number, and we characterize the extremal graphs. © 2008 Elsevier Ltd. All rights reserved.

f -colorings have applications in scheduling problems. An f -coloring of a graph G is a coloring of edges of E(G) such that each color appears at each vertex v ∈ V (G) at most f (v) times. The minimum number of colors needed to f -color G is called the f -chromatic index of G, and denoted by χ f (G). Any graph G has f -chromatic index equal to ∆ f (G) or ∆ f (G)+ 1, where ∆ f (G) = max v∈V {d d...

Let F be a family of compact convex sets in R. We say that F has a topological ρ-transversal of index (m, k) (ρ < m, 0 < k ≤ d − m) if there are, homologically, as many transversal m-planes to F as m-planes containing a fixed ρ-plane in R. Clearly, if F has a ρ-transversal plane, then F has a topological ρ-transversal of index (m, k), for ρ < m and k ≤ d − m. The converse is not true in general...

In this study, the response of selected almond cultivars on different rootstocks under drought stress base on Morpho-physiological traits using a factorial experiment in a randomized complete block design with three replications was investigated. The experimental was carried out at the Temperate Fruit Research Center of Horticultural Sciences Research Institute (HSRI) in 2016. The factors inclu...

In this paper we describe our retrieval system and experiments performed for the automatic search task in TRECVid 2007. We submitted the following six automatic runs: • F A 1 DCU-TextOnly6 : Baseline run using only ASR/MT text features. • F A 1 DCU-ImgBaseline4 : Baseline visual expert only run, no ASR/MT used. Made use of query-time generation of retrieval expert coefficients for fusion. • F A...