World War II letters: a glimpse into the heart of the Second World War through the words of those who were fighting it
A collection of letters from the Allied soldiers who fought and won World War II reveals the horror, humor, and boredom of this great conflict.
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York
St. Martin's Press
2002
|
| Ausgabe: | 1st ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | A collection of letters from the Allied soldiers who fought and won World War II reveals the horror, humor, and boredom of this great conflict. |
| Beschreibung: | xvii, 251 p. ill. : 25 cm |
| ISBN: | 0312304323 |
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Datensatz im Suchindex
| _version_ | 1804129319332610048 |
|---|---|
| adam_text | IMAGE 1
THE NATURAL
AXIOM SYSTEM
OF PROBABILITY THEORY MATHEMATICAL MODEL OF THE RANDOM UNIVERSE
DAGUO XIONG BEIJING INSTITUTE OF TECHNOLOGY, CHINA
TRANSLATED FROM CHINESE BY
WUJIAN
WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * HONG KONG
IMAGE 2
CONTENTS
PRELIMINARY 1
1 REAL BACKGROUND OF PROBABILITY THEORY 5
1.1 RESEARCH OBJECT 6
1.2 RESEARCH TASK 8
1.3 PROBABILITY 9
1.3.1 CLASSICAL DEFINITION OF PROBABILITY 10
1.3.2 GEOMETRIC PROBABILITY 11
1.3.3 FREQUENCY ILLUSTRATION OF PROBABILITY 12
1.3.4 SUBJECTIVE ILLUSTRATION OF PROBABILITY 14
1.3.5 PRIMA FACIE OF THE APPLICATION 15
2 NATURAL AXIOM SYSTEM OF PROBABILITY THEORY 23
2.1 ELEMENT OF PROBABILITY THEORY AND SIX GROUPS OF AXIOMS . . 23 2.2
THE FIRST GROUP OF AXIOMS: THE GROUP OF AXIOMS OF EVENT SPACE 25 2.2.1
EVENT SPACE 25
2.2.2 SURE EVENT AND IMPOSSIBLE EVENT 27
2.2.3 RULES OF OPERATIONS 28
2.2.4 EVENT FIELDS AND EVENT R-FIELDS 31
2.2.5 REMARK 32
2.3 THE SECOND GROUP OF AXIOMS: THE GROUP OF AXIOMS OF CAUSAL SPACE 33
2.3.1 THE QUESTIONS AND THE METHODS 33
2.3.2 INTUITIVE BACKGROUND OF THE CAUSAL POINT 34
2.3.3 THE GROUP OF AXIOMS OF CAUSAL SPACE 37
2.3.4 REMARK 41
2.4 THE THIRD GROUP OF AXIOMS: THE GROUP OF AXIOMS OF RANDOM TEST 44
2.4.1 INTUITIVE BACKGROUND 44
2.4.2 THE GROUP OF AXIOMS OF RANDOM TEST 46
XI
IMAGE 3
XII CONTENTS
2.4.3 RANDOM SUB-TESTS 49
2.4.4 MODELLING OF RANDOM TEST(1): LISTING METHOD . . .. 49
2.4.5 MODELLING OF RANDOM TEST(2): EXPANSIONARY METHOD 55 2.4.6 REMARK
59
2.5 SEVERAL KINDS OF TYPICAL RANDOM TESTS 59
2.5.1 CR-ISOMORPHISM; STANDARD TESTS 60
2.5.2 N-TYPE TESTS 61
2.5.3 COUNTABLE TYPE TESTS 62
2.5.4 N-DIMENSIONAL E. BOREL TESTS 64
2.5.5 COUNTABLE DIMENSIONAL AND ANY DIMENSIONAL BOREL TESTS 65 2.5.6
REMARK 67
2.6 JOINT RANDOM TESTS 67
2.6.1 JOINT EVENT R-FIELDS 67
2.6.2 JOINT RANDOM TESTS 68
2.6.3 PRODUCT RANDOM TESTS 70
2.6.4 DUPLICATE RANDOM TESTS 74
2.6.5 N-DIMENSIONAL JOINT TESTS 75
2.6.6 COUNTABLE DIMENSIONAL AND ANY DIMENSIONAL JOINT TESTS 76 2.6.7
REMARK 77
2.7 THE FORTH GROUP OF AXIOMS: THE GROUP OF AXIOMS OF PROBABIL- ITY
MEASURE 78
2.7.1 INTUITIVE BACKGROUND 78
2.7.2 THE GROUP OF AXIOMS OF PROBABILITY MEASURE 80
2.7.3 EXISTENCE OF PROBABILITY MEASURE 81
2.7.4 PROBABILITY SPACES OF CLASSICAL TYPE 82
2.7.5 PROBABILITY SPACES OF GEOMETRIC TYPE 83
2.7.6 WHETHER DO THE FREQUENCY ILLUSTRATION AND SUBJECTION ILLUSTRATION
SATISFY THE FOURTH GROUP OF AXIOMS? . .. 84 2.7.7 BASIC PROPERTIES OF
PROBABILITY 85
2.7.8 EXTENSION OF PROBABILITY MEASURE 89
2.7.9 INDEPENDENT PRODUCT PROBABILITY SPACE 90
2.7.10 REMARK 92
2.8 POINT FUNCTIONS ON RANDOM TEST 93
2.8.1 PROBABILITY SPACES OF DISCRETE TYPE 93
2.8.2 KOLMOGOROV S PROBABILITY SPACES 96
2.8.3 KOLMOGOROV S PROBABILITY SPACES: N-DIMENSIONAL CASE 97 2.8.4
KOLMOGOROV S PROBABILITY SPACES: INFINITE DIMENSIONAL CASE 99
2.8.5 REMARK 100
2.9 THE FIFTH GROUP OF AXIOMS: THE GROUP OF AXIOMS OF CONDITIONAL
PROBABILITY MEASURE 100
2.9.1 INTUITIVE BACKGROUND 100
IMAGE 4
CONTENTS XIII
2.9.2 THE GROUP OF AXIOMS OF CONDITIONAL PROBABILITY MEASURELO3 2.9.3
INDEPENDENCE OF TWO SUB-TESTS 105
2.9.4 INDEPENDENCE OF N SUB-TESTS 108
2.9.5 INDEPENDENCE OF A FAMILY OF SUB-TESTS 112
2.9.6 BASIC THEOREMS OF CONDITIONAL PROBABILITY VALUES . . 113 2.9.7
REMARK 114
2.10 POINT FUNCTIONS ON RANDOM TEST (CONTINUED) 117
2.10.1 CONDITIONAL DENSITY P(A F 2 )(W) 1 17 2.10.2 CONDITIONAL
DENSITY-PROBABILITY P(A,UJ J R 2 ) 122
2.10.3 POINT FUNCTIONS ON THE PROBABILITY SPACE OF DISCRETE TYPE 124
2.10.4 POINT FUNCTIONS ON N-DIMENSION KOLMOGOROV S PROBA- BILITY SPACE
129
2.10.5 REMARK 132
2.11 THE SIXTH GROUP OF AXIOMS: THE GROUP OF AXIOMS OF PROBABIL- ITY
MODELLING 133
2.11.1 THE GROUP OF AXIOMS OF PROBABILITY MODELLING . . .. 133 2.11.2
MODELLING OF PROBABILITY SPACE OF CLASSICAL TYPE . . . 135 2.11.3
MODELLING OF PROBABILITY SPACE OF DISCRETE TYPE . . . 135 2.11.4
MODELLING OF PROBABILITY SPACE OF GEOMETRICAL TYPE . 138 2.11.5
MODELLING OF N-DIMENSION KOLMOGOROV S PROBABILITY
SPACE 139
2.11.6 MODELLING OF INDEPENDENT PRODUCT PROBABILITY SPACE 141 2.11.7
IMPORTANCE OF THE AXIOM OF FREQUENCY 142
3 INTRODUCTION OF RANDOM VARIABLES 143
3.1 INTUITIVE BACKGROUND OF RANDOM VARIABLES 145
3.1.1 INTUITIVE BACKGROUND: THE SITUATION OF PROBABILITY SPACE TO BE
KNOWN 145
3.1.2 IMPORTANCE OF THE DISTRIBUTION LAW 148
3.1.3 INTUITIVE BACKGROUND: THE SITUATION OF PROBABILITY SPACE TO BE NOT
KNOWN 150
3.1.4 IMPORTANCE OF THE DISTRIBUTION FUNCTION 153
3.1.5 UNIVERSALITY OF THE RANDOM VARIABLES IN APPLICATION . 154 3.1.6
UNIVERSALITY OF THE RANDOM VARIABLES IN THEORY . . . 155 3.2 BASIC
CONCEPTIONS OF RANDOM VARIABLE 155
3.2.1 REPRESENTATION PROBABILITY SPACE AND THE DIGITAL CHAR- ACTERS 156
3.2.2 VALUE PROBABILITY SPACE AND THE DISTRIBUTION FUNCTION 157 3.2.3
REMARK: PROBABILITY ANALYTIC METHOD 158
3.3 BASIC CONCEPTIONS OF RANDOM VECTOR 161
IMAGE 5
XIV CONTENTS
3.3.1 REPRESENTATION PROBABILITY SPACE AND THE DIGITAL CHAR- ACTERS 162
3.3.2 VALUE PROBABILITY SPACE AND THE DISTRIBUTION FUNCTION 163 3.3.3
RANDOM SUB-VECTORS AND THE MARGINAL DISTRIBUTION FUNCTIONS 164
3.3.4 INDEPENDENCE 165
3.3.5 VARIOUS CONDITIONAL PROBABILITIES 166
3.3.6 CONDITIONAL MATHEMATICAL EXPECTATION OF X GIVEN SUB- TEST (FI,^)
169
3.3.7 CONDITIONAL MATHEMATICAL EXPECTATION OF X GIVEN Y 170 3.3.8 REMARK
170
3.4 BASIC CONCEPTIONS OF BROAD STOCHASTIC PROCESS 171 3.4.1
REPRESENTATION PROBABILITY SPACE AND THE DIGITAL CHAR- ACTERS 172
3.4.2 VALUE PROBABILITY SPACE AND THE FAMILY OF FINITE DI- MENSIONAL
DISTRIBUTION FUNCTIONS 173
3.4.3 FAMILY OF FINITE DIMENSION RANDOM VECTORS 174 3.4.4 INDEX SET J
175
BIBLIOGRAPHY 177
INDEX 179
|
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| spelling | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it edited by Bill Adler with Tracy Quinn McLennan World War 2 letters World War Two letters 1st ed. New York St. Martin's Press 2002 xvii, 251 p. ill. : 25 cm txt rdacontent n rdamedia nc rdacarrier A collection of letters from the Allied soldiers who fought and won World War II reveals the horror, humor, and boredom of this great conflict. Geschichte 1939-1945 gnd rswk-swf Weltkrieg (1939-1945) Military dependents Correspondence Soldiers Correspondence World War, 1939-1945 Personal narratives Feldpostbrief (DE-588)4153940-0 gnd rswk-swf (DE-588)4135952-5 Quelle gnd-content Feldpostbrief (DE-588)4153940-0 s Geschichte 1939-1945 z DE-604 Adler, Bill Sonstige oth McLennan, Tracy Quinn Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009887676&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it Weltkrieg (1939-1945) Military dependents Correspondence Soldiers Correspondence World War, 1939-1945 Personal narratives Feldpostbrief (DE-588)4153940-0 gnd |
| subject_GND | (DE-588)4153940-0 (DE-588)4135952-5 |
| title | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it |
| title_alt | World War 2 letters World War Two letters |
| title_auth | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it |
| title_exact_search | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it |
| title_full | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it edited by Bill Adler with Tracy Quinn McLennan |
| title_fullStr | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it edited by Bill Adler with Tracy Quinn McLennan |
| title_full_unstemmed | World War II letters a glimpse into the heart of the Second World War through the words of those who were fighting it edited by Bill Adler with Tracy Quinn McLennan |
| title_short | World War II letters |
| title_sort | world war ii letters a glimpse into the heart of the second world war through the words of those who were fighting it |
| title_sub | a glimpse into the heart of the Second World War through the words of those who were fighting it |
| topic | Weltkrieg (1939-1945) Military dependents Correspondence Soldiers Correspondence World War, 1939-1945 Personal narratives Feldpostbrief (DE-588)4153940-0 gnd |
| topic_facet | Weltkrieg (1939-1945) Military dependents Correspondence Soldiers Correspondence World War, 1939-1945 Personal narratives Feldpostbrief Quelle |
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