Information Measures: Information and its Description in Science and Engineering

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Springer Science & Business Media, Mar 27, 2001 - Technology & Engineering - 548 pages
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This book is intended to be an introduction to the mathematical description of information in science. The necessary mathematical theory of this introduction will be treated in a more vivid way than in the usual theorem-proof structure. This, however, enables us to develop an idea of the connections between different information measures and to understand the trains of thought in their derivation, which is a crucial point for correct applications. It is therefore our intention in the mathematical descriptions to evolve the important ideas of the derivations, so that we obtain the resulting functions as well as the main thoughts and the conditions for the validity of the result. This simplifies the handling of the information measures, which are sometimes hard to classify without any additional background information. Though the mathematical descriptions are the exact formulations of the measures examined, we do not restrict ourselves to rigorous mathematical considerations, but we will also integrate the different measures into the structure and context of possible information measures. Nevertheless the mathematical approach is unavoidable when we are looking for an objective description and for possible applications in optimization.
 

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Contents

IV
7
V
8
VI
13
VII
14
VIII
15
IX
16
X
18
XI
23
CIV
250
CV
251
CVI
252
CVII
253
CVIII
255
CX
257
CXI
261
CXII
262

XII
28
XIII
30
XIV
31
XV
39
XVI
42
XVII
44
XVIII
47
XX
48
XXI
49
XXII
51
XXIII
52
XXIV
53
XXV
57
XXVI
59
XXVII
61
XXVIII
66
XXIX
67
XXXI
68
XXXII
75
XXXIII
76
XXXIV
79
XXXV
82
XXXVI
85
XXXVIII
86
XXXIX
87
XL
88
XLI
89
XLII
90
XLIII
91
XLIV
92
XLV
93
XLVI
94
XLVII
95
XLVIII
100
XLIX
101
L
102
LI
106
LII
112
LIII
113
LIV
115
LV
116
LVI
120
LVII
121
LVIII
124
LIX
125
LX
126
LXI
128
LXII
130
LXIV
131
LXV
132
LXVI
133
LXVII
137
LXVIII
140
LXIX
143
LXX
145
LXXI
147
LXXII
155
LXXIII
156
LXXIV
162
LXXV
173
LXXVII
174
LXXVIII
176
LXXIX
179
LXXX
189
LXXXI
193
LXXXII
197
LXXXIV
198
LXXXV
200
LXXXVI
204
LXXXVII
207
LXXXVIII
209
LXXXIX
212
XC
213
XCI
217
XCII
219
XCIV
221
XCV
222
XCVI
227
XCVII
230
XCVIII
237
XCIX
238
C
239
CI
246
CII
247
CIII
249
CXIII
265
CXIV
268
CXV
273
CXVI
274
CXVII
276
CXVIII
279
CXIX
282
CXX
284
CXXI
287
CXXIV
288
CXXV
289
CXXVII
293
CXXVIII
294
CXXIX
298
CXXX
302
CXXXII
304
CXXXIII
307
CXXXIV
312
CXXXV
313
CXXXVII
314
CXXXVIII
315
CXXXIX
316
CXL
321
CXLI
327
CXLII
332
CXLIII
333
CXLIV
334
CXLVI
336
CXLIX
340
CL
344
CLI
347
CLIV
351
CLV
356
CLVI
363
CLVII
370
CLVIII
374
CLIX
375
CLX
377
CLXI
379
CLXII
382
CLXIII
387
CLXIV
389
CLXV
390
CLXVI
391
CLXVIII
396
CLXIX
399
CLXX
401
CLXXI
412
CLXXII
413
CLXXIII
433
CLXXIV
435
CLXXV
436
CLXXVI
437
CLXXVII
438
CLXXIX
442
CLXXX
446
CLXXXI
449
CLXXXII
452
CLXXXIII
463
CLXXXIV
466
CLXXXV
467
CLXXXVI
468
CLXXXVIII
470
CLXXXIX
472
CXC
475
CXCI
476
CXCII
481
CXCIV
488
CXCV
490
CXCVI
493
CXCVIII
494
CXCIX
498
CC
500
CCI
501
CCIII
502
CCIV
505
CCV
506
CCVII
507
CCVIII
508
CCX
510
CCXI
513
CCXII
516
CCXIII
519
CCXIV
545
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