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terrytao.wordpress.com | ||
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almostsuremath.com
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| | | | | According to Kolmogorov's axioms, to define a probability space we start with a set ? and an event space consisting of a sigma-algebra F? on ?. A probability measure ? on this gives the probability space (?,?F?,??), on which we can define random variables as measurable maps from ? to the reals or other measurable... | |
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jeremykun.wordpress.com
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| | | | | Last time we investigated the (very unintuitive) concept of a topological space as a set of "points" endowed with a description of which subsets are open. Now in order to actually arrive at a discussion of interesting and useful topological spaces, we need to be able to take simple topological spaces and build them up... | |
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cyclostationary.blog
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| | | | | Our toolkit expands to include basic probability theory. | |
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talesoftimesforgotten.com
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| | | Most people are aware that the ancient Greeks made a lot of significant contributions to modern civilization, but not everyone knows exactly what they contributed. I cannot possibly hope to list all of the ancient Greek contributions to civilization here, since I could write a whole book on the subject and still not cover everything. ... Continue reading "What Did the Ancient Greeks Contribute to Modern Civilization? A Lot, It Turns Out." | ||