For quadratic spaces which represent 1 there is a characterization of hermitian compositions in the language of algebras-with-involutions using the even Clifford algebra. We extend this notion to define a generalized composition based on quadratic pairs and determine the degrees of minimal compositions for any given quadratic pair.

Article history: During the African Humid P Received 9 June 2008 Received in revised form 12 October 2008 Accepted 7 December 2008 Available online 23 January 2009 Editor: M.L. Delaney

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...

Artists have long explored the way in which we see the world, and they have developed their own tools to portray their vision. The present study investigated whether the compositional information in paintings, an artistic device invented by artists, is utilized when people view paintings. In Experiment 1, we categorized paintings depending on their compositions through experts' ratings. Using t...

There are many compositions artists use in their abstract paintings. A great way to practice your abstract art is to pick a composition style and then work through studies.

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.