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polymathprojects.org | ||
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thatsmaths.com
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| | | | | The Riemann Hypothesis Perhaps the greatest unsolved problem in mathematics is to explain the distribution of the prime numbers. The overall ``thinning out'' of the primes less than some number $latex {N}&fg=000000$, as $latex {N}&fg=000000$ increases, is well understood, and is demonstrated by the Prime Number Theorem (PNT). In its simplest form, PNT states that... | |
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xorshammer.com
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| | | | | Mathematical logic has a categorization of sentences in terms of increasing complexity called the Arithmetic Hierarchy. This hierarchy defines sets of sentences $latex \Pi_i$ and $latex \Sigma_i$ for all nonnegative integers $latex i$. The definition is as follows: $latex \Pi_0$ and $latex \Sigma_0$ are both equal to the set of sentences $latex P$ such that... | |
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terrytao.wordpress.com
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| | | | | Building on the interest expressed in the comments to this previous post, I am now formally proposing to initiate a Polymath project on the topic of obtaining new upper bounds on the | |
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ujjwalkarn.me
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| | | An Artificial Neural Network (ANN) is acomputational modelthat is inspired by the way biological neuralnetworks inthe human brain process information. Artificial Neural Networks have generated a lot ofexcitement in Machine Learning research and industry, thanks to many breakthrough results in speech recognition, computer vision and text processing. In this blog post we will try to... | ||
