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Titlebook: A Short Course on Functional Equations; Based Upon Recent Ap J. Aczél Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987 funct

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发表于 2025-3-21 19:22:43 | 显示全部楼层 |阅读模式
期刊全称A Short Course on Functional Equations
期刊简称Based Upon Recent Ap
影响因子2023J. Aczél
视频video
学科分类Theory and Decision Library B
图书封面Titlebook: A Short Course on Functional Equations; Based Upon Recent Ap J. Aczél Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987 funct
影响因子Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi­ cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula­ tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care­ ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in
Pindex Book 1987
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s to introduce the most important equations and methods of solution through actual (not artifi­ cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by speci
发表于 2025-3-22 06:17:26 | 显示全部楼层
https://doi.org/10.1007/978-3-531-91052-9g to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included.
发表于 2025-3-22 10:06:33 | 显示全部楼层
https://doi.org/10.1007/978-3-531-19053-2n for (1.19), . is supposed to have neutral and inverse elements but it will not be supposed in this general set-up that . is commutative). As in (l) we will continue to omit the •.’ sign; we will also denote, as usual, the inverse of . ∈ . by ..
发表于 2025-3-22 14:34:56 | 显示全部楼层
Anerkennung und Gewalt an Schulenhere too, as it did in section 3 (see, for instance, Proposition 3.4). We will prove the following (cf. Aczél-Gehrig [86], where an arbitrary open rectangle . × . stands in place of ., just as in Theorem 5.7 above).
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https://doi.org/10.1007/978-3-531-91052-9at the aggregated allocation for the .-th project depends only on the recommended allocations to . project, that both the individual and the aggregated allocations be . (!) and, if all assessors recommend rejection, then the consensus allocation to that project should be 0 .
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