標(biāo)題: Titlebook: Non-Additive Measure and Integral; Dieter Denneberg Book 1994 Springer Science+Business Media Dordrecht 1994 artificial intelligence.bound [打印本頁(yè)] 作者: Combat 時(shí)間: 2025-3-21 18:26
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書目名稱Non-Additive Measure and Integral影響因子(影響力)學(xué)科排名
書目名稱Non-Additive Measure and Integral網(wǎng)絡(luò)公開度
書目名稱Non-Additive Measure and Integral網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Non-Additive Measure and Integral被引頻次
書目名稱Non-Additive Measure and Integral被引頻次學(xué)科排名
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書目名稱Non-Additive Measure and Integral讀者反饋學(xué)科排名
作者: 舉止粗野的人 時(shí)間: 2025-3-21 20:25 作者: insipid 時(shí)間: 2025-3-22 01:22
Construction of Measures using Topology,ciently many compact sets allows to construct broad classes of measures starting with finitely additive set functions which are regular, i.e. compatible with the given topology. On the real line, essentially these are the Lebesgue-Stieltjes measures. The main idea of this construction generalizes to作者: cloture 時(shí)間: 2025-3-22 05:29
Distribution Functions, Measurability and Comonotonicity of Functions, the next chapter, the integral. No measurability requirements have to be imposed on the function if the set function is defined on the whole power set. For many questions this can be supposed but for some topics (Radon-Nikodym-Theorem, conditional expectation) set functions with restricted domains 作者: bourgeois 時(shí)間: 2025-3-22 09:39 作者: 修正案 時(shí)間: 2025-3-22 13:38
The Symmetric Integral,tions. The alternative integral to be defined here, coincides with the usual integral in all cases of additive set functions. For nonadditive set functions our old integral and the new one differ in two relevant points: asymmetry is replaced by symmetry and comonotonic additivity is lost for functio作者: Semblance 時(shí)間: 2025-3-22 19:15 作者: 絕緣 時(shí)間: 2025-3-23 00:13
Nullfunctions and the Lebesgue Spaces Lp, in the σ-additive theory) there are functions, not identically zero, having norm nought. Those are the nullfunctions, we start with. Then the Lebesgue space ..(.) of a submodular . is shown to be a normed linear space and to be a Banach space if . is continuous from below. These results translate t作者: 慢跑鞋 時(shí)間: 2025-3-23 04:43 作者: Esalate 時(shí)間: 2025-3-23 06:57
Densities and the Radon-Nikodym Theorem,is absolutely continuous with respect to ., . ? .. In case of measures the condition . ? . is also sufficient for . having a density. This is the important Radon-Nikodym theorem. Closely related to these questions is the problem of representing a given functional on a function space through an integ作者: 費(fèi)解 時(shí)間: 2025-3-23 10:37
Products,onditional expectation essentially uses the Radon-Nikodym Theorem, so it works only for the σ-additive case. Hence, for non additive set functions one might be interested to know what can be achieved through the constructive way. But even here a part of Fubini’s Theorem, namely that the integral wit作者: 忘川河 時(shí)間: 2025-3-23 15:31 作者: Neonatal 時(shí)間: 2025-3-23 20:44
Dieter Denneberghren spielen auch in der Me?- und Regelungstechnik eine wichtige Rolle. Ihre Bedeutung wird durch Anwendungen im mehr- dimensionalen Bereich (Bildverarbeitung, optische Systeme) in Zukunft noch weiter zunehmen. Das vorliegende Buch soll eine erste Einführung in die Grundlagen der Signal- und Systemt作者: synovitis 時(shí)間: 2025-3-24 01:39 作者: Diaphragm 時(shí)間: 2025-3-24 04:43
h Anwendungen im mehr- dimensionalen Bereich (Bildverarbeitung, optische Systeme) in Zukunft noch weiter zunl;lhmen. Das vorliegende Buch soll eine erste Einführung in die Grundlagen der Signal-und System- theorie vermitteln. Es ist als Begleitbuch zu Vorlesungen und besonders auch zum Selbst- studi作者: Occlusion 時(shí)間: 2025-3-24 08:40 作者: Inflamed 時(shí)間: 2025-3-24 11:32 作者: 強(qiáng)有力 時(shí)間: 2025-3-24 18:03 作者: 腐蝕 時(shí)間: 2025-3-24 22:44 作者: 不透明 時(shí)間: 2025-3-25 00:54
The Subadditivity Theorem,If the integral with respect to a monotone set function . is subadditive, i.e.. then . is submodular (cf. Exercise 5.1). Here we shall prove that submodularity of the set function is also sufficient for subadditivity of the integral. The corresponding theorems for supermodular and additive set functions are corollaries.作者: PAD416 時(shí)間: 2025-3-25 04:14
Book 1994oviding a sound basisfor applications and further research in this growing field ofincreasing interest. It also contains fundamental results ofsigma-additive and finitely additive measure and integration theoryand sheds new light on additive theory..Non-Additive Measureand. .Integral. employs distri作者: 粘土 時(shí)間: 2025-3-25 09:58
s, thus providing a sound basisfor applications and further research in this growing field ofincreasing interest. It also contains fundamental results ofsigma-additive and finitely additive measure and integration theoryand sheds new light on additive theory..Non-Additive Measureand. .Integral. employs distri978-90-481-4404-4978-94-017-2434-0作者: Axon895 時(shí)間: 2025-3-25 15:14 作者: Acetaminophen 時(shí)間: 2025-3-25 15:59 作者: Recess 時(shí)間: 2025-3-25 22:59
. Zum guten Verst?ndnis des Stoffes sollen auch die zahlreichen voll durch- gerechneten Beispiele beitragen. Das Buch gliedert sich in sieben Abschnitte. Im 1. Abschnitt wird zun?chst der Dirac- Impuls eingeführt. Nach einer Einführung der Begriffe übertragungsfunktion und Impuls- antwort wird die Berechnung 978-3-322-86305-8作者: contrast-medium 時(shí)間: 2025-3-26 03:21 作者: Reclaim 時(shí)間: 2025-3-26 07:43
Distribution Functions, Measurability and Comonotonicity of Functions,are crucial. In this situation a function is called measurable if a unique distribution function can be assigned to it. Greco’s characterization of measurability will be given and we prove the important theorem on measurability of sums of measurable functions.作者: 保守黨 時(shí)間: 2025-3-26 10:13
ue spaces, representation theorems) isgeneralized, at least for submodular measures which are characterizedby having a subadditive integral. The theory is of interest forapplications to economic decision theory (decisions under risk anduncertainty), to statistics (including belief functions, fuzzyme作者: 得意牛 時(shí)間: 2025-3-26 14:18
Sequences of Functions and Convergence Theorems,erent types of convergence are important, too, in probability theory and statistics. By the way we get some information on measurability of the limit function even if the set function is not continuous.作者: 移植 時(shí)間: 2025-3-26 19:27 作者: languor 時(shí)間: 2025-3-26 23:30
Representing Functionals as Integrals,eory) is under what conditions the representing set function is sub- or supermodular and continuous from below. A corollary of the respective Representation Theorem is the classical Daniell-Stone Representation Theorem, where the representing set function is a measure.作者: delta-waves 時(shí)間: 2025-3-27 01:57
Integration of Monotone Functions on Intervals,urvey integration of monotone functions. We are working with countable subdivisions to include the improper Riemann integral from the beginning. Crucial for later chapters will be the pseudo-inverse function of a decreasing function. It is introduced in the present chapter.作者: BULLY 時(shí)間: 2025-3-27 05:50 作者: 成績(jī)上升 時(shí)間: 2025-3-27 11:11
The Asymmetric Integral,aves asymmetric. In Chapter 7 we shall modify the definition in order to get a symmetric and fully homogenous integral. An important property of the asymmetric integral, not shared by the symmetric one, is comonotonic additivity.作者: Jubilation 時(shí)間: 2025-3-27 17:32
The Symmetric Integral,tions our old integral and the new one differ in two relevant points: asymmetry is replaced by symmetry and comonotonic additivity is lost for functions essentially assuming positive and negative values.作者: insert 時(shí)間: 2025-3-27 17:46
Families of Measures and their Envelopes,r the integrals in the family. The main result is a characterization of submodular set functions by means of envelopes of additive set functions. The method of generating a set function as supremum of a given family of set functions will be employed, too, for proving the Radon-Nikodym Theorem in the next chapter.作者: 保守黨 時(shí)間: 2025-3-28 00:07 作者: defibrillator 時(shí)間: 2025-3-28 04:08 作者: REIGN 時(shí)間: 2025-3-28 09:55
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