Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Borel E. — Probability and certainty. A sun book
Borel E. — Probability and certainty. A sun book



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Probability and certainty. A sun book

Автор: Borel E.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 145

Добавлена в каталог: 15.04.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Absolute zero      54
Alphabetical numeration      73—77
Alphabetical numeration, illusion in      77 78
Alphabetical numeration, normal numbers in      75—77
Alphabetical numeration, vs. decimal numeration      75
Annals of Eugenics      139
Annals of Mathematical Statistics      139
Assessments, estimated      48
Astronomical numbers      81—83
Average speed of molecules      53—54
Bernoulli, Jacques      27 52 71
Bertrand, Joseph      94 95 96 132
Biometrics      139
Births, male, probability of      37— 40 113
Bohr, Niels      85
Boltzmann      52 54
Broglie, Louis de      85
Brownian movement      58
C.G.S. units      81 83 86
Calculus of probability, applied      39 52
Calculus of probability, assumptions in      12
Calculus of probability, derivations from      52
Calculus of probability, restrictions in use of      40 125 126
Calculus of probability, use of in polls      40 42
Camot — Clausius principle      121
Carnot, Sadi      59
Causes, probabilities of      34—51
Centimeter-Gram-Second (C.C.S.) units      81 83 86
Certainty, and error      114—18
Certainty, characteristics of      122—24
Certainty, in elections      5
Certainty, in natural events      5 6
Certainty, invalidation of      5
Certainty, negative      5
Certainty, positive      4
Certainty, practical      117—18 123
Chance, games of      14—18
Chance, imitation of      48—51
Closed system, definition of      61
Common sense      60
Composite probabilities      31 n.
Computable probabilities, theory of      30
Continuity, physical      103 104—9
Couderc, Paul      63 n.
Decimal numbers, non-normal      71 72
Decimal numbers, normal      71 72
Decimal numbers, “frequency” in      71
Decimal probabilities      69
Denominator of probability      74
Density, average, of galaxy      88
Density, average, of matter within the sphere      87
Density, average, of stars      82 88 89 90
Density, average, of universe      88
Deviation      20—23
Deviation, as zero      46
Deviation, exceptional      35 36
Deviation, law of      21 29
Deviation, probability of      23 24
Deviation, real      23
Deviation, relative      23 26
Deviation, unit of      20—23
Deviation, unit of, in a million trials      25 35
Deviation, unit of, in predicting composition of urn      42 43
Diffusion of liquids      61
Discontinuity, physical      101 104
Discontinuity, physical, introduction of      108
Distances, astronomical      81—83
Distances, astronomical, minute      84 85
Distribution of speeds, law of      54 55
Earth, age of      83
Earth, heating of      59
Energy sources      65 66
Entropy, and certainty      114—18
Entropy, definition of      63
Entropy, degrees of      67 68
Entropy, disregard of      68
Entropy, percentage      48
Entropy, principle of      59—61
Equalities, false      67—69
Erosion      64
Error, average, in polling      46—48
Errors of observation      109—11
Expansion of universe      63
False equalities      67—69
Galaxy, average density of      88
Galaxy, dimensions of      82 83 89 90
Galaxy, of first order      89
Galaxy, of second order      89
Galileo      14
games of chance      14—18
Gases, kinetic theory of      52
Gases, mixing of      54—57
Gibbs      55
Great numbers, law of      27—30
Heads or Tails, in Petersburg Paradox      92
Heads or Tails, unit of deviation in      25 34—36
Heads or Tails, ways of winning      16—17
Illusion in alphabetical numeration      77—78
Infinite number      71
Jeans’ experiment      91
Jeans’ miracle      60 (see also Jeans’ experiment)
Jeans’ miracle, improbability of      120 121 123 124
Journal of the American Statistical Association      139
Journal of the Royal Statistics Society      139
K (body of knowledge)      8 9 30
K (body of knowledge), erroneous      11 12
K (body of knowledge), incomplete      10 11
Keynes, John Maynard      8
Kinetic theory of gases      52
Laplace-Gauss law of deviation      53 n. 110 112
Large numbers, law of      71 (see also Great numbers law
Law of deviation      21 29 110
Law of distribution of speeds      54 55
Law of errors      110
Law of great numbers      27—30 137
Law of Large Numbers      71
Law of universal attraction      63
Life, appearance of      124—26
Light, speed of      81
Logarithm of probability      63
Male births, probability of      37— 40 113
Mass, minute      84—86
Mass, minute, in average speed of gas molecules      53
Mathematical expectation      18—21
Mathematical expectation, calculation of      128—130
Mathematical expectation, equal to unity      70 134
Mathematical expectation, in a fair game      133
Mathematical expectation, in the Petersburg Paradox      93 96
Mathematical expectation, infinite      135
Mathematician’s illusion      77—80
Maxwell, James Clerk      52 53 54
Mere, Chevalier do      15 16
Mises, van      112
Molecular hypothesis      52
Molecules, average speed of      53 54
Molecules, movement of      53—59
Monkeys, typewriting      91
Mortality, of girls      38
Multiple births, sex in      39 40
Multiple trials      30 31
Natural phenomena, in probability      3
Natural resources, dissipation of      65 66
Numbers, astronomical      81—83
numbers, decimal      71 72
Numbers, infinite      71
Numbers, superastronomical      88 89
Numerical calculation, of probability      4
Opinion, public, on “pile of wheat      99 100
Opinion, public, polls of      40—43
Pascal, Blaise      15 16
Pascal’s triangle      17 18
Pascal’s triangle, wager      138
Perrin, Jean      52 84
Petersburg Martingale      127—38
Petersburg Paradox      92—97 127— 38
Petersburg Paradox, solution of      95—97
Petersburg Paradox, statement of      92—94
Phenomena, irreversible      64
Phenomena, natural      3
Physical continuity, definition of      104—7
Planck, Max      85
Poincar$\acute{e}$, Henri      67 (see also Poincar$\acute{e}$’s formulas)
Poincar$\acute{e}$’s Formulas      104
Poincar$\acute{e}$’s Formulas, as logical solution      109
Poincar$\acute{e}$’s Formulas, objection to      106 107
Poisson, Sim$\acute{e}$on Denis, formulas of      70
Poll, public-opinion      40—43
Poll, public-opinion, predicting results of      42 43
Poll, public-opinion, validity of      40 41
Principle of sufficient reason      72
Probabilities, disregard of      118 119
Probability vs. certainty      4
Probability, a priori      34
Probability, assessment of      9
Probability, assessment of, aleatory elements in      9 10
Probability, assessment of, statistics in      11
Probability, calculus of      see Calculus of probability
Probability, categories of      3
Probability, decimal      69
Probability, evaluation of      98—101
Probability, logarithm of      63
Probability, numerical calculation of      4
Probability, statistical      111—13
Probability, subjective nature of      7—9
Probability, subjective, defined      8 9
Probable gain      19 20
Public opinion, polling      40—43
Public opinion, polling, in “pile of wheat”      99—100
quantum mechanics      52 85
Quantum mechanics, theory      52
Radiation, solar      64 83
Random choice, advantages of      48 51
Random choice, and statistical probability      111—13
Random choice, from short pack of cards      12
Random choice, in alphabetical numeration      80
Random choice, in forming decimal numbers      68—72
Random choice, in polling      46—51
Random choice, in repeated trials      10 31
Random choice, theory of      23 30
Relativity, theory of      87
Repeated trials, series of      27 28
Ruin of players      24—27
Ruin of players, certainty of      24
Rulings by administration      101—4
Sampling, by categories      47 48
Sampling, in public-opinion polls      44—48
Sampling, random      47 48
Schrolinger      85
Series of figures      73
Series of figures, unlimited      89
Sex ratio, at birth      38
Sex ratio, in multiple births      39 40
Solar radiation      64
Solutions, molecules in      57 58
St. Petersburg Problem      see Petersburg Paradox
Statistical probability      111—13
Subjective probability, definition of      8 9
Sun, cooling of      59
Temperature, in movement of molecules      53—55
Temperatures, equalization of      58 59
Theory, of composite probabilities      31 n.
Theory, of computable probabilities      30
Theory, of expanding universe      91
Theory, of relativity      87
Theory, of repeated trials      36
Theory, of total probabilities      31 n.
Thermodynamics      62
Time periods, astronomical      83 84
Time periods, shortest      86 87
Total probabilities, theory of      31 n.
Trials, repeated      14—33 42 43
Trials, theory of      36
Truth, mathematical      115
Twins, sex of      39 40
Typewriting miracle      120 121 123 typewriting)
Unit of deviation      20—23
Universe, expanding, theory of      91
Universe, finite vs. infinite      87 88
Urn, determining composition of contents      42—47
Val$\acute{e}$ry, Paul      60
Wave mechanics      53 85
Wider Universe, The (Couderc)      63 n.
Zeno the Eleatic      136
“Certain,” common usage of      3—6
“Maxwell’s demon”      62
“Pile of wheat”      98—113
“Probable,” common usage of      3—4
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2021
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте