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 Yearling
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answered Palais–Smale compactness condition
Apr
22
awarded  Yearling
Apr
17
answered Why is the gradient of the objective function in the Lagrange multiplier theorem not $= 0$?
Apr
16
answered Complex Fourier coefficients for $e^{|x|}$
Apr
16
comment Compute $f_x(0,0)$ etc. for the following function $f(x,y))$
You must write down the basic definition of partial derivative in terms of a quotient, and then take a limit.
Apr
16
comment How to practically make use of Mathematics?
Most people can live well without any knowledge of higher mathematics. I can estimate that the 90% of my former students with a degree in biotechnology will never see improper integrals again. I do not know the answer to your question, since I am a mathematician and I love mathematics...
Apr
16
answered How to practically make use of Mathematics?
Apr
16
answered Multiplication and division under integral sign for non-constant function: $\int f(t)dt \iff \int f(t)\frac{g(t)}{g(t)}dt$?
Apr
16
comment show that $f(x)=-3x+4$ is bijective
Please read the definition of injectivity: a function is one-to-one if every $y$ has at most one $x$.
Apr
16
answered Proving that $\lim_{n\rightarrow\infty}n(a_{n+1}-a_{n})=1 \implies a_n$ diverges to $\infty$
Apr
16
comment Proving that $\lim_{n\rightarrow\infty}n(a_{n+1}-a_{n})=1 \implies a_n$ diverges to $\infty$
Maybe you should try to compare $a_n$ to some variant of $\sum_{k=1}^n \frac{1}{k}$.
Apr
15
comment I can't understand how to prove this inequality
Why don't you want to compute an easy integral?
Apr
14
comment Integration.Matrix.Determinant.Inverse.Trace.
What a bad title for this question!
Apr
14
answered Relative Extrema of $|x^2 - 1|$ for $-4 \leq x \leq 4$.
Apr
14
comment Notation issue - Asymptotic behaviour: is $\sim$ too restrictive?
The big-O notation is really too weak...
Apr
14
answered Notation issue - Asymptotic behaviour: is $\sim$ too restrictive?
Apr
14
revised Short differential-form free route to understanding a specific surface integral
deleted 2 characters in body; edited title
Apr
14
comment Differential $dx$
It is a mnemonic rule to remember the change of variable theorem for integrals, i.e. how an integral changes under the composition with a diffeomorphism.
Apr
14
reviewed Approve How do I prove that the set of all possible points of R lie on a circle?
Apr
14
comment Differential $dx$
You should think of $dx$ as the linear map $h \mapsto h$, so that $(du)h = u'(x)h$.