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Jul
17
revised Arc length of $f(x)=x^2-\ln x$ over [1,e]
added 13 characters in body; edited title
Jul
16
comment Why isn't $1/0 = \infty$, based on multiplication?
You might find this question useful.
Jul
6
comment Sum: $1-2+3-4+5-6+…$
@Thomas Perhaps the OP is referring to Ramanujan summation? I don't know if that can assign this sum a value, but the sum of all natural numbers can be assigned $-\frac{1}{12}$, despite it being a divergent sequence.
Jul
5
accepted Is the mode of the sum the same as the sum of the modes
Jul
4
comment Is the mode of the sum the same as the sum of the modes
@BruceTrumbo Thank you, apologies for the lack of clarity in the first instance! I appreciate you taking the time to answer!
Jul
4
revised Is the mode of the sum the same as the sum of the modes
added 298 characters in body
Jul
4
revised Is the mode of the sum the same as the sum of the modes
added 26 characters in body
Jul
4
asked Is the mode of the sum the same as the sum of the modes
Jul
3
revised What to do in this Surface Integral?
added 18 characters in body
Jun
19
comment Meaning of a Dirac function
If you've studied vector calculus, you might be interested to note that it pops up naturally here: $$\nabla\cdot\left(\frac{\hat{r}}{\|r\|^{2}}\right)=4\pi \delta^{3}(\vec{r})$$ And this is extremely useful in deriving Coulomb's law for a pointlike particle.
Jun
19
revised How to solve this integral and have a result in term of arccos?
added 12 characters in body
Jun
19
comment $\int { \max { \left( 1,{ x }^{ 2 } \right) dx } }$
@5xum This function doesn't have a well-defined anti-derivative; I assumed that he would interested in the integral over some set, if you think I should delete my answer I will? :)
Jun
19
revised $\int { \max { \left( 1,{ x }^{ 2 } \right) dx } }$
added 48 characters in body
Jun
19
answered $\int { \max { \left( 1,{ x }^{ 2 } \right) dx } }$
Jun
19
revised $\int { \max { \left( 1,{ x }^{ 2 } \right) dx } }$
added 5 characters in body; edited title
Jun
18
revised Integral of derivative of rational map on unit disk
added 17 characters in body
Jun
18
answered Möbius transformation and stereographic projection
Jun
18
answered What is $[M_1,M_2]$ equal to? ($M_1$ and $M_2$ are matrices)
Jun
17
comment Use of stochastic calculus outside finance?
Stochastic processes appear a lot in nature, especially in Quantum Mechanics. Have a look at the Stochastic Schrodinger Equation. They also appear in Thermodynamics and kinetic theory (cf. the Wiener process)
Jun
17
answered Contour Integration Along Part of the Unit Circle