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www.jeremykun.com | ||
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djalil.chafai.net
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| | | | | The Girko circular law theorem states that if \( {X} \) is a \( {n\times n} \) random matrix with independent and identically distributed entries (i.i.d) of variance \( {1/n} \) then the empirical measure \[ \frac{1}{n}\sum_{i=1}^n\delta_{\lambda_i(X)} \] made with the eigenvalues of \( {X} \), converges, as the dimension \( {n} \) tends to infinity, to the uniform law... | |
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alanrendall.wordpress.com
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| | | | | The theorem of the title is about dividing smooth functions by other smooth functions or, in other words, representing a given smooth function in terms of products of other smooth functions. A large part of the account which follows is based on that in the book 'Normal Forms and Unfoldings for Local Dynamical Systems' by... | |
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jiggerwit.wordpress.com
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| | | | | In the texbook I'm using for a first course in algebraic geometry, the proof of Bezout's theorem is awful. Looking around, I find an abundance of awful proofs. A good proof is one that I would want to commit to memory. Here is a good proof of Bezout's theorem, which is due to Gurjar and... | |
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vitalyobukhov.wordpress.com
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| | | Visit the post for more. | ||
