We give a method for computing the q-Eulerian distribution W (t, q) = w∈W t des(w) q l(w) as a rational function in t and q, where (W, S) is an arbitrary Coxeter system, l(w) is the length function in W , and des(w) is the number of simple reflections s ∈ S for which l(ws) < l(w). Using this we compute generating functions encompassing the q-Eulerian distributions of the classical infinite fami...

Coach: Bill Reinhart Southern Conference Champions NCAA Tournament Trinity W 4-1 Trinity W 6-2 Dartmouth W 12-4 Wash. & Lee W 6-0 VMI W 10-5 Virginia Tech W 10-4 Colgate L 6-11 Vermont W 5-1 William & Mary L 3-8 Richmond W 7-4 Georgetown W 9-3 Maryland W 4-0 Wash. & Lee W 13-0 The Citadel W 3-2 VMI W 11-7 West Virginia W 4-2 West Virginia W 6-4 Richmond W 5-4 William & Mary W 4-2 Georgetown W 2...

The non-decoupling effects of heavy Higgs bosons on the process e+e− → W L W− L are discussed in the two Higgs-doublet model. The one-loop corrections to the cross section are calculated by using the equivalence theorem and the explicit expressions of its deviation from the standard model are derived. The leading mass contributions to the deviation in expansion by s are related to the T paramet...

introduction: textile industries produce large volume of colored dye effluents which are toxic and removal of dyes from wastewater is a significant environmental issue. advanced oxidation process (aops) is alternative method for the complete degradation many organic pollutants. zno and tio2 are important photocatalysts with high catalytic activity that have attracted much research attention. ma...

Genetic factors affecting female reproductive performance in lines of mice with a known history of selection were estimated from a 5 X 5 diallel cross. Lines were selected as follows: large litter size at birth (L+); large 6-wk body weight (W+); an index for large litter size and small 6-wk body weight (L+W-); the complementary index (L-W+) and randomly (K). Partitioning of direct and correlate...

We derive some of the basic properties of weighted variable exponent Lebesgue spaces L p(.) w (R) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W (L p(.) w , L q υ) is defined, where the local component is a weighted variable exponent Lebesgue space L p(.) w (R) and the global component is a weighted Lebesgue space Lυ (R) . We inves...

Let L/K be a field extension. A K-vector space W can be extended to an L-vector space L⊗KW , and W embeds into L⊗KW by w 7→ 1⊗w. Under this embedding, when W 6= 0 a K-basis {ei} of W turns into an L-basis {1⊗ ei} of L⊗KW . Passing from W to L⊗KW is called ascent. In the other direction, if we are given an L-vector space V 6= 0, we may ask how to describe the K-subspaces W ⊂ V such that a K-basi...