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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TL;DR: In this article, the authors examined some properties of the states a+mS(ξ)| 0 > (ξ = reiθ), which are engendered by excitations on a squeezed vacuum state.
64 citations
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TL;DR: In this article, the operator product expansion in four-dimensional superconformal field theory is discussed, and it is demonstrated that the OPE takes a particularly simple form for certain classes of operators.
64 citations
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TL;DR: In this article, a product platform design procedure and a computer-based product platform concept model are described for configurable automotive products, which capture both functional behavior and embodiment of design solutions as well as the operative component structure in a configurable system product.
Abstract: This paper describes a systematic product platform design procedure and a computer-based product platform concept model that capture both functional behavior and embodiment of design solutions as well as the operative component structure in a configurable system product. It is argued that such design procedures and product descriptions are necessary from a business perspective in order to successfully manage development of derivative products and product variants based on a product platform concept. The concepts presented in this paper are currently being deployed by Saab Automobile as the next logical evolution of product description systems necessary in order to maintain competitiveness in the automotive business.
64 citations
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TL;DR: In this paper, a numerical definition-based systematic approach (NDSA) is employed to generate an explicit numerical definition of the product form, and then performs a series of evaluation trials to establish the correlation between product form features and the consumers' perceptions of product image, which are used to construct mathematical models capable of predicting the likely consumer response to any product form designed in accordance with the numerical product form definition.
64 citations
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30 Dec 1987TL;DR: In this article, an erasable programmable logic device which includes a programmable AND memory array and a macrocell processing the output of the AND array allows product term sharing/allocation by adjacent macrocells.
Abstract: An erasable programmable logic device which includes a programmable AND memory array and a macrocell processing the output of the AND array allows product term sharing/allocation by adjacent macrocells. Two groups of four product terms each are coupled to each macrocell, wherein the OR'ing of each group of four product terms is each coupled to a multiplexor. One group is also coupled to a previously adjacent macrocell and the second group is coupled to a subsequently adjacent macrocell. A third and fourth multiplexor accept four product terms from each of the adjacent macrocells and the output of the four multiplexors are coupled to an OR gate. When a multiplexor is activated, it couples each grouping of four product terms to the OR gate and the output of the OR gate is coupled to an I/O circuit which emulates combinatory and sequential logic circuits. By selecting appropriate multiplexors each eight product term macrocell is capable of processing 0, 4, 8, 12 or 16 product terms. An alternative embodiment has three groupings of product terms wherein only two of the groupings are shared by adjacent macrocells.
64 citations