We study different problems of enumeration of standard paths in the poset of compositions of integers. We show that several problems similar to those considered in the poset of partitions of integers become simpler in this context. We give explicit formulas for generating functions of standard paths in this poset and interesting subposets, and a closed formula for the number of standard paths e...

We prove a result on the frequency of zeros of f ◦ g −Q, where g is a transcendental entire function of finite lower order, and f and Q are meromorphic functions in the plane such that f has finite order and the growth of the target function Q is controlled by that of g. The particular case f = Q is then investigated further.

ENGL 110C. English Composition. 3 Credits. The principal objective of the course is to prepare students to be effective writers of the kinds of compositions they will be called on to produce during their college careers. By the end of the course, students should be more mature in their understanding and use of language, should develop efficient writing processes, and should know and demonstrate...

We prove a Central Limit Theorem for the sequence of random compositions of a two-color randomly reinforced urn. As a consequence, we are able to show that the distribution of the urn limit composition has no point masses.

milk samples were collected from quarters of 35 cows with subclinical mastitis (california mastitis test [cmt] positive and somatic cell counts [scc] >500,000 cells/ml in individual quarter foremilk), as well as from 37 healthy controls. compared to the levels observed in milk from healthy quarters, milk from quarters with subclinical mastitis showed elevated sodium (91.97 vs 52.93 mg/dl), chlo...

in general, the objective of distillation control is to maintain the desired products quality. in this paper, the performances of different one point control strategies for an aromatic distillation column have been compared through dynamic simulation. these methods are: a) composition control using measured composition directly. this method sufferes from large sampling delay of measuring device...

ENGL 110C. English Composition. 3 Credits. The principal objective of the course is to prepare students to be effective writers of the kinds of compositions they will be called on to produce during their college careers. By the end of the course, students should be more mature in their understanding and use of language, should develop efficient writing processes, and should know and demonstrate...

Scales are collections of tones that divide octaves into specific intervals used to create music. Since humans can distinguish about 240 different pitches over an octave in the mid-range of hearing, in principle a very large number of tone combinations could have been used for this purpose. Nonetheless, compositions in Western classical, folk and popular music as well as in many other musical t...

Coxeter complexes are simplicial polytopes derived from certain reflection groups. The type An−1 Coxeter complex is derived from the symmetric group Sn and admits an elegant combinatorial description. Its faces are identified with set compositions and certain combinatorial properties of these compositions can be explained geometrically. Aguiar and Mahajan used this geometry to define a product ...