یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 253-266).
یادداشتهای مربوط به مندرجات
متن يادداشت
Cover; Title Page; Copyright Page; Contents; Preface to the Dover Edition; Preface; Special Symbols; Chapter 1. Introduction and Historical Survey; 1.0. Introduction; 1.1. Beginnings; 1.2. Menger, 1942; 1.3. Wald, 1943; 1.4. Developments, 1956-1960; 1.5. Some Examples; 1.6. Šerstnev, 1962; 1.7. Random Metric Spaces; 1.8. Topologies; 1.9. Tools; 1.10. Postscript; Chapter 2. Preliminaries; 2.1. Sets and Functions; 2.2. Functions on Intervals; 2.3. Probabilities, Integrals, Random Variables; 2.4. Binary Operations; Chapter 3. Metric and Topological Structures; 3.1. Metric and Related Spaces.
متن يادداشت
10.1. Introduction10.2. Consistency, Triangle Inequalities; 10.3. C-Spaces; 10.4. Homogeneous and Semihomogeneous C-Spaces; 10.5. Moments and Metrics; 10.6. Normal C-Spaces; 10.7. Moments in Normal C-Spaces; 10.8. Open Problems; Chapter 11. Transformation-Generated Spaces; 11.1. Transformation-Generated Spaces; 11.2. Measure-Preserving Transformations; 11.3. Mixing Transformations; 11.4. Recurrence; 11.5. E-Processes: The Case of Markov Chains; 11.6. Open Problems; Chapter 12. The Strong Topology; 12.1. The Strong Topology and Strong Uniformity.
متن يادداشت
3.2. Isometries, Homotheties, Metric Transforms3.3. Betweenness; 3.4. Minkowski Metrics; 3.5. Topological Structures; Chapter 4. Distribution Functions; 4.1. Spaces of Distribution Functions; 4.2. The Modified Lévy Metric; 4.3. The Space of Distance Distribution Functions; 4.4. Quasi-Inverses of Nondecreasing Functions; Chapter 5. Associativity; 5.1. Associative Binary Operations; 5.2. Generators and Ordinal Sums; 5.3. Associative Functions on Intervals; 5.4. Representation of Archimedean Functions; 5.5. Triangular Norms, Additive and Multiplicative Generators; 5.6. Examples.
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This distinctly nonclassical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables. The two-part treatment begins with an overview that discusses the theory's historical evolution, followed by a development of related mathematical machinery. The presentation defines all needed concepts, states all necessary results, and provides relevant proofs. The second part opens with definitions of probabilistic metric spaces and proceeds to examinations of special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. Throughout, the authors focus on developing aspects that differ from the theory of ordinary metric spaces, rather than simply transferring known metric space results to a more general setting.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
MIL
شماره انبار
580631
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Probabilistic metric spaces
شماره استاندارد بين المللي کتاب و موسيقي
0486445143
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Metric spaces.
موضوع مستند نشده
Probabilities.
موضوع مستند نشده
MATHEMATICS-- Applied.
موضوع مستند نشده
Metric spaces.
موضوع مستند نشده
Probabilities.
رده بندی ديویی
شماره
514/
.
325
ويراست
22
رده بندی کنگره
شماره رده
QA611
.
28
نشانه اثر
.
S38
2005eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )