A graph property is a set of (countable) graphs. A homomorphism from a graph G to a graphH is an edge-preserving map from the vertex set of G into the vertex set of H; if such a map exists, we write G → H. Given any graph H, the hom-property →H is the set of H-colourable graphs, i.e., the set of all graphs G satisfying G → H. A graph property P is of finite character if, whenever we have that F...

Does working on developing character strengths and relative character weaknesses cause lower life satisfaction than working on developing character strengths only? The present study provides a preliminary answer. After 76 college students completed the Values in Action Inventory of Strengths (C. Peterson & M. E. P. Seligman, 2004), the authors randomly assigned them to work on 2 character stren...

In this research, five species of genus Polystichum, belong to Aspidiaceae, namely, P. lonchitis, P. woronowii, P. setiferum, P. braunii and P. aculeatum, gathered from Gilan and MazandaranProvinces were anatomically studied. To distinguish anatomical character of different growing organs such as pinnules, rachis, rhizumes and roots, the cross section was prepared. Based on these researches, id...

Let G be a connected reductive algebraic group over an algebraically closed field k. Let Z be the algebraic variety consisting of all triples (P, P , UP ′gUP ) where P, P ′ run through some fixed conjugacy classes of parabolics in G and g is an element of G that conjugates P to a parabolic in a fixed ”good” relative position y with P ′ (here UP , UP ′ are the unipotent radicals of P, P ). The v...

We give a motivic proof of a character formula for depth zero supercuspidal representations of p-adic SL(2). We begin by finding the virtual Chow motives for the character values of all depth zero supercuspidal representations of p-adic SL(2), at topologically unipotent elements. Then we find the virtual Chow motives for the values of the Fourier transform of all regular elliptic orbital integr...

0.1. Let G be a connected reductive algebraic group over an algebraically closed field k. Let Z be the variety (of the same dimension as G) consisting of all pairs (P, gUP ) where P runs through a fixed conjugacy class P of parabolics of G and gUP ∈ G/UP (UP is the unipotent radical of P ). Now G acts on Z by h : (P, gUP ) 7→ (hPh , hghUhPh−1). In this paper we study a class of simple G-equivar...

In this article, we study p-adic torus periods for certain p-adic valued functions on Shimura curves coming from classical origin. We prove a p-adic Waldspurger formula for these periods, as a generalization of the recent work of Bertolini, Darmon, and Prasanna. In pursuing such a formula, we construct a new anti-cyclotomic p-adic L-function of Rankin– Selberg type. At a character of positive w...