Extended Ring Summation for a Classical Electron Gas
نویسندگان
چکیده
منابع مشابه
A difference ring theory for symbolic summation☆
A summation framework is developed that enhances Karr's difference field approach. It covers not only indefinite nested sums and products in terms of transcendental extensions, but it can treat, e.g., nested products defined over roots of unity. The theory of the so-called [Formula: see text]-extensions is supplemented by algorithms that support the construction of such difference rings automat...
متن کاملClosed Form Summation for Classical Distributions: Variations on Theme
De Moivre gave a simple closed form expression for the mean absolute deviation of the binomial distribution. Later authors showed that similar closed form expressions hold for many of the other classical families. We review the history of these identities and extend them to obtain summation formulas for the expectations of all polynomials orthogonal to the constants.
متن کاملA Neutral Gas Model for Electron Swarms
The mot iva t ion for this research comes from several studies ~ 3) on the influence of bounda r i e s upon the behav ior of a par t ic le swarm, i.e., of a dilute popu l a t i on of charged par t ic les diffusing th rough a neut ra l host gas under the influence of a dc space-uni form electric field E (see also, for example , the reviews in refs. 4 and 5). When ion iza t ion and r ecombina t i...
متن کاملProperties of extended ideal based zero divisor graph of a commutative ring
This paper deals with some results concerning the notion of extended ideal based zero divisor graph $overline Gamma_I(R)$ for an ideal $I$ of a commutative ring $R$ and characterize its bipartite graph. Also, we study the properties of an annihilator of $overline Gamma_I(R)$.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1969
ISSN: 0033-068X
DOI: 10.1143/ptp.42.143