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It should not be a surprise to learn that most earth science/oceanography and other STEM (Science, Technology, Engineering, Mathematics) faculty teach classes the same way they were taught, typically ...
A signed labeled forest is defined as a (plane) forest labeled by {1, 2,..., n} along with minus signs associated to some vertices. Signed labeled forests can be viewed as an extension of signed permu...
Motivated by the question of finding a type B analogue of the bijection between oscillating tableaux and matchings, we find a correspondence between oscillating m-rim hook tableaux and m-colored match...
Several hook summation formulae for binary trees have appeared recently in the literature. In this paper we present an analogous formula for unordered increasing trees of size r, which involves r para...
Abstract: Bjoerner and Wachs provided two q-generalizations of Knuth's hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inversion numb...
Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han’s formulas has been generalized to k-ary trees by Yang. Sagan has found a probabilistic ...
We use hook Schur functions to compute trace cocharacters of matrices in hooks. As an example we compute the cocharacters of 3 x 3 matrices in the one by two hook
The problem of decomposing the Kronecker product of $S_n$ characters is one of the last major open problems in the ordinary representation theory of the symmetric group $S_n$. Here we prove upper and...
Recently Han obtained a general formula for the weight function corresponding to the expansion of a series in terms of hook lengths of binary trees. In this paper, we present weight function formulas ...
油果樟属是J.D.Hooker根据Booth采自不丹的一份樟科植物标本于1886年建立起来的。该属建立时是一单型属,其特征是:花被裂片4,全然脱落,形状为横向长圆形,排成2轮,内轮2片较小;能育雄蕊4,与花被裂片对生且等长,宽卵圆形,厚而被毛,具腺点,1室,以单瓣开裂;退化雄蕊4,细小,披针形,被毛;子房无毛,向上渐狭。A.J.Kostermans于1939年(in Not.Syst.8:73)对...
The effect of seed mass on germination, seedling survival and growth was investigated in Prunus jenkinsii Hook.f. & Thoms. (Rosaceae), an evergreen tree species. Seed mass varied from a minimum of 0.5...
At Hook Ridge hydrothermal vent, a new species of Sclerolinum (Monilifera, Siboglinidae) was found at a water depth of 1,045 m. On the basis of investigations of multicores and gravity cores, the spec...

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