The Chauvenet Papers: A Collection of Prize-winning Expository Papers in Mathematics, Volume 1James Crawford Abbott |
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Page 236
... probability zero . ) Through this agreement we are committed in particular to identifying any set of probability zero with the empty set o , and it follows therefore that in the reduced algebra B ( that is , the algebra ob- tained from ...
... probability zero . ) Through this agreement we are committed in particular to identifying any set of probability zero with the empty set o , and it follows therefore that in the reduced algebra B ( that is , the algebra ob- tained from ...
Page 237
... probability the- ory . The best way to explain the difference between measure and probability is to liken it to the difference between analytic and synthetic geometry . It isn't stretching a point too far to say that the representation ...
... probability the- ory . The best way to explain the difference between measure and probability is to liken it to the difference between analytic and synthetic geometry . It isn't stretching a point too far to say that the representation ...
Page 246
... probability theory and turn to a few remarks connected with the problem of application . 13. Determination of initial probabilities . When the mathematician an- nounces that the probability of an event is a certain number , he is ...
... probability theory and turn to a few remarks connected with the problem of application . 13. Determination of initial probabilities . When the mathematician an- nounces that the probability of an event is a certain number , he is ...
Contents
GILBERT AMES BLISS | 1 |
THEOPHIL HENRY HILDEBRANDT R L WILDER | 27 |
GODFREY HAROLD HARDY | 65 |
Copyright | |
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Common terms and phrases
algebraic function American Mathematical Society approaches zero arithmetic Association B₁ basis belong Borel Theorem Chauvenet Prize coefficients column orders condition consider constant contains continuous convergence corresponding curve cut point cycles defined definition denumerable derivative division ring divisor divisor Q equation equivalent Euclidean example exists extension fact family of intervals field F finite number follows formal formula Fourier series Fourier transforms Fundamenta Mathematicae given hence identity independent infinite infinity integral interior Lebesgue limiting element Lindelöf Theorem linear linearly Math mathematician matrix metric space modular field monotone obtained orthogonal planar ternary ring plane polynomial prime probability problem Professor proof proved pth roots random variables rational function real numbers result satisfies separating points sequence simple solution space sphere subset summable theory tion topological topological space trigonometric sum true cyclic element vector axiom Vitali Theorem weight function Whyburn