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You are here		terrytao.wordpress.com 245B, Notes 12: Continuous functions on locally compact Hausdorff spaces \| What's new
\|	\|	a3nm.net List of open questions	3.8 parsecs away Travel
\|	\|	List of open questions	3.8 parsecs away Travel
\|	\|	almostsuremath.com Algebraic Probability (continued) - Almost Sure	3.9 parsecs away Travel
\|	\|	Continuing on from the previous post, I look at cases where the abstract concept of states on algebras correspond to classical probability measures. Up until now, we have considered commutative real algebras but, before going further, it will help to look instead at algebras over the complex numbers $latex {{\mathbb C}}&fg=000000$. In the commutative case,...	3.9 parsecs away Travel
\|	\|	extremal010101.wordpress.com Gaussian Jensen's inequality - Zeros and Ones	3.2 parsecs away Travel
\|	\|	Suppose we want to understand under what conditions on $latex B$ we have $latex \begin{aligned} \mathbb{E} B(f(X), g(Y))\leq B(\mathbb{E}f(X), \mathbb{E} g(Y)) \end{aligned}$holds for all test functions, say real valued $latex f,g$, where $latex X, Y$ are some random variables (not necessarily all possible random variables!). If $latex X=Y$, i.e., $latex X$ and $latex Y$ are...	3.2 parsecs away Travel
\|	\|	p.migdal.pl Data science intro for math/phys background - Piotr Migda?	22.0 parsecs away Travel
\|		Academia to data science? Learn Python (or R), machine learning and other stuff.	22.0 parsecs away Travel