Topic
Product (mathematics)
About: Product (mathematics) is a research topic. Over the lifetime, 44382 publications have been published within this topic receiving 377809 citations.
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Book•
25 Mar 1987
TL;DR: The special Eisenstein series on orthogonal groups has been revisited in this article, where the Siegel formula revisited and inner product formulae have been used for the first time.
Abstract: Notation and preliminaries.- Special Eisenstein series on orthogonal groups.- Siegel formula revisited.- Inner product formulae.- Siegel formula - Compact case.- Local l-factors.- Global theory.
78 citations
Patent•
16 Apr 2007TL;DR: In this article, a system, method and computer program product are provided for displaying a status of a security application and an index is calculated that is representative of a degree of risk associated with the status of the at least one security application.
Abstract: A system, method and computer program product are provided for displaying a status of a security application. A status of at least one security application is initially identified. An index is calculated that is representative of a degree of risk associated with the status of the at least one security application. The index is then displayed.
78 citations
01 Sep 2003
TL;DR: This paper presents PLUTO, a simple and intuitive methodology to manage the testing process of product lines, described as Product Lines Use Cases (PLUCs), based on the Category Partition method.
Abstract: This paper presents PLUTO, a simple and intuitive methodology to manage the testing process of product lines, described as Product Lines Use Cases (PLUCs). PLUCs are an extension of the well-known Cockburn's Use Cases, a notation based on natural language descriptions of requirements. The proposed test methodology is based on the Category Partition method, and can be used to derive a generic Test Specification for the product line, and a set of relevant test scenarios for a customer specific application.
78 citations
TL;DR: In this paper, a 1/N-expansion at O [1/N 2 ] is applied to the four-point function of O(N) vector fields, and the necessary renormalizations are performed with different methods appropriate to each case.
78 citations
TL;DR: The applicability of the Zappa-Szep product to multiplicative structures more general than groups with emphasis on categories and monoids was explored in this article. But the preservation of various properties of the multiplication under Zappa Szep product was not explored.
Abstract: The Zappa-Szep product of a pair of groups generalizes the semidirect product in that neither factor is assumed to be normal in the result. We extend the applicability of the Zappa-Szep product to multiplicative structures more general than groups with emphasis on categories and monoids. We also explore the preservation of various properties of the multiplication under the Zappa-Szep product.
78 citations