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theoremoftheweek.wordpress.com | ||
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kpknudson.com
[AI summary] A mathematician connects Franz Kafka's theme of 'non-arrival' and infinite paradoxes to Georg Cantor's work on different levels of transfinite infinity and the diagonalization argument. |
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algorithmsoup.wordpress.com
The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite... |
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thatsmaths.com
In last week's post, we defined an extension of parity from the integers to the rational numbers. Three parity classes were found --- even, odd and none. This week, we show that, with an appropriate ordering or enumeration of the rationals, the three classes are not only equinumerate (having the same cardinality) but of equal... |
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jericholet.wordpress.com
Welcome to WordPress.com. This is your first post. Edit or delete it and start blogging! |
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