A short and interesting paper try to derive a series of inequalities from a
basic theorem (the master theorem as dubbed in the paper):
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Thorp (1969) Optimal gambling systems for favorable games
There are two papers of the same title:
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Modern C++ Good Practice
Some notes on reviewing what C++ changed since the introduction of C++11. Mostly
comes from reading GotW: casting, smart pointers,
auto types, initialization,
temporaries, class structure and owning
pointers, const
correctness, dependencies and
pimpl
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Jacobian matrix, Hessian matrix, and applications
Engineering math course in the first year of undergraduate would cover vector calculus.
Jacobian and Hessian matrices are naturally covered. Jacobian matrix of a vector-valued
function \(\mathbf{f}:\mathbb{R}^n\to\mathbb{R}^m\) is
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Linear regression and confidence
Linear regression assumes a set of coordinates \((x_i, y_i),\ i=1,\cdots,N\) fits
the relation
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