Update: Two things have happened: Rankeya has given a valid answer to the written question, but I realize now I was too vague. Secondly, I looked up the correct exercise in Jacobson and found that …

Jun 27, 2019 · Okay this may sound stupid but I need a little help... What do $\\Large \\frac{d}{dx}$ and $\\Large \\frac{dy}{dx}$ mean? I need a thorough explanation. Thanks.

Nov 10, 2024 · Problem: Find the surface integral $I=\\iint_S2x^2ydydz-y^2dzdx+4xz^2dxdy$, where $S$ is curved surface of the cylinder $y^2+z^2=9$ bounded by the planes $x=0,\\,x=2 ...

Feb 15, 2016 · This isn't really an answer as it stands; answer should be self contained, but this answer lacks the "mathematically acceptable explanation" it alludes to, so it's not very useful. If you're going …

Oct 7, 2015 · its actually $\dot x$ or $\frac {dx} {dt}$, the term inside of the integral.

Apr 2, 2017 · Expanding out $ (x-y)^2$, we get $$ x^2+ (x-y)^2+y^2=2 (x^2-xy+y^2)$$ Then complete the square: $$ x^2-xy+y^2=\Big (x-\frac {y} {2}\Big)^2+\frac {3y^2} {4} $$ so that ...

Aug 31, 2020 · As the eigenvalues are real, one need only consider real (generalised) eigenvectors, and so one needs transpose, rather than conjugate transpose. Anyway, this does give a method to prove …

Aug 31, 2020 · Use a Kronecker product to flatten the matrix to a vector, i.e. $\,W\to w.\,$ Then the equation becomes $ (x\otimes I)^Tw +b$ whose gradient is $ (x\otimes I)$.

Nov 23, 2020 · In this lecture on method of moment, we have: why is gradient of psi inverse a dxd matrix? K-th moment $m_k$is defined as $ \\mathbb E[X^k] $ and can be estimated by ...

Check that you are optimizing a convex function over a set that is convex and without boundary.