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Why is $E[(Y-f(X))^2] = E[(Y-f(X))^T(Y-f(X))]$ in derivation of the regression function f?

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#linear-algebra #self-learning #linear-regression
1k
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Learning roadmap for algebraic curves

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#algebraic-geometry #reference-request #self-learning #algebraic-curves #riemann-surfaces
127
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Why is $E[g(X,\beta)^T\ g(X,\beta)]$ derived to $\beta$ equals $E[g'(X,\beta)\ g(X,\beta)]$? Why no product rule in deriving?

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#derivatives #expectation #self-learning #linear-regression
150
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a question about transpose and inverse of matrix

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#calculus #linear-algebra #matrices #self-learning #transpose
3.7k
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How to improve at combinatorics?

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#combinatorics #self-learning
107
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Kernel and Image of Composition of linear functions

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#linear-algebra #self-learning
199
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Given two sets of product ratings, how to test whether one product is better than the other?

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#probability #statistics #self-learning #hypothesis-testing
100
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Derivation question

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#calculus #derivatives #partial-derivative #self-learning
17
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Find a limit when the expression is a Fraction

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#limits #self-learning
83
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Definition of Expectation

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#probability #probability-theory #statistics #self-learning
139
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Intuition for Monty Hall and a similar problem

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#probability #self-learning #monty-hall
47
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Sum with gamma denominator...

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#summation #exponential-function #binomial-coefficients #self-learning #gamma-function
417
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Required background for Lee's Smooth Manifolds

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#self-learning #smooth-manifolds
33
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Function of a continuous variable using cdf method

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#probability #random-variables #self-learning
4.3k
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Why is the lim inf the union of intersections

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#probability #probability-theory #elementary-set-theory #self-learning

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