Results 1 to 10 of about 784,568 (165)
Estimates of singular numbers (s-numbers) for a class of degenerate elliptic operators [PDF]
In this paper we study a class of degenerate elliptic equations with an arbitrary power degeneracy on the line. Based on the research carried out in the course of the work, the authors propose methods to overcome various difficulties associated with the
S.Zh. Igisinov +3 more
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Problems for combinatorial numbers satisfying a class of triangular arrays
Numbers satisfying a class of triangular arrays, defined by a bivariate first-order linear difference equation with linear coefficients, include a wide range of combinatorial numbers: binomial coefficients, Morgan numbers, Stirling numbers of the first ...
Igoris Belovas
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On some integral representations of groups and global irreducibility. [PDF]
Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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The Class Number of the Cyclotomic Field [PDF]
Let g denote an odd prime, and h = h(g) the class number of the cyclotomic field R(), where is a primitive gth root of unity. It is known that we can write
Ankeny, Nesmith C., Chowla, Sarvadaman
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On the number of isomorphism classes of transversals [PDF]
In this paper we prove that there does not exist a subgroup $H$ of a finite group $G$ such that the number of isomorphism classes of normalized right transversals of $H$ in $G$ is four.
Kakkar, Vipul, Shukla, R. P.
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On the Number of Conjugate Classes of Derangements [PDF]
The number of conjugate classes of derangements of order n is the same as the number h n
Wen-Wei Li +2 more
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Multicolor star-critical Ramsey numbers and Ramsey-good graphs
This paper seeks to develop the multicolor version of star-critical Ramsey numbers, which serve as a measure of the strength of the corresponding Ramsey numbers. We offer several general theorems, some of which focus on Ramsey-good cases (i.e., cases in
Mark Rowland Budden, Elijah DeJonge
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Class Number and Ramification in Number Fields [PDF]
In the ring Ok of algebraic integers of a number field K the group Ik of ideals of Ok modulo the subgroup Pk of principal ideals is a finite abelian group of order hk, the class number of K. The determination of this number is an outstanding problem of algebraic number theory.
Brumer, Armand, Rosen, Michael
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Deciding on the Starting Number of Classes of a Latent Class Tree [PDF]
In recent studies, latent class tree (LCT) modeling has been proposed as a convenient alternative to standard latent class (LC) analysis. Instead of using an estimation method in which all classes are formed simultaneously given the specified number of classes, in LCT analysis a hierarchical structure of mutually linked classes is obtained by ...
Mattis van den Bergh +2 more
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Astronomy for astronomical numbers: A worldwide massive open online class
Astronomy: State of the Art is a massive, open, online class (MOOC) offered through Udemy by an instructional team at the University of Arizona. With nearly 24,000 enrolled as of early 2015, it is the largest astronomy MOOC available.
Chris D. Impey +2 more
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