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Jul
29
comment How does arg max work in this context?
Usually you have probability distributions (which replace the various $P(\cdots)$), which you then minimise, either analytically or numerically.
Jul
12
comment Points in a triangle: Pigeon-hole Principle
In a similar fashion to how you did it with smaller triangles.
Jul
12
answered Points in a triangle: Pigeon-hole Principle
Jul
2
awarded  Curious
Jun
28
comment Computing $\int\limits_{p}^{1}\Phi^{-1}(u)\text{ d}u$, $p \in [0, 1]$.
Write the integral with the definition of $\phi$ explicitly.
Jun
28
comment Computing $\int\limits_{p}^{1}\Phi^{-1}(u)\text{ d}u$, $p \in [0, 1]$.
Sometimes $\int$ by parts works from a similar scenario. Try and see why not here.
Jun
28
answered Find all $\lambda$ such that the set is linearly independent.
Jun
23
answered Inequality for concave functions
Jun
17
answered Statement about Integral
Jun
17
comment Conditional Probability- Correct Score of a soccer match given player scores first
I agree that these are not independent events in our intuitive understanding of the game. Therefore, as you point out, you will need to know the conditional probabilities. I.e. They cannot be derived from the given information, but must be modelled apriori.
Jun
17
comment Let $f$ be a differentiable function and for all $x$ $f'(x)>x$, prove $f$ isn't uniformly continuous
Nope, the constant of integration is only for indefinite integrals. But if you haven't covered it then don't worry about it for now.
Jun
17
revised Let $f$ be a differentiable function and for all $x$ $f'(x)>x$, prove $f$ isn't uniformly continuous
added 178 characters in body
Jun
17
answered Let $f$ be a differentiable function and for all $x$ $f'(x)>x$, prove $f$ isn't uniformly continuous
Jun
17
comment Homework: canonical form of quadratic form
In other words, you've got $u^2-v^2+w^2$ where $w=0$ but you could equivalently have $1\cdot u^2+(-1)\cdot v^2+0\cdot w^2$ with $w=z$, or any other independent combination, like $z+y$.
Jun
17
comment Homework: canonical form of quadratic form
Note that you're dealing with two separate matrices here, one is your change of variables matrix $\vec u=T\vec x$, and the other a symmetric representation of $Q$, therefore diagonalisable. Only the former needs to be invertible, so adding the independent "dummy variable" is no problem since $T^{-1}QT$ will still give that variable a zero coefficient.
Jun
17
revised Method to solve epidemic differential equation
tex + grammer
Jun
17
suggested suggested edit on Method to solve epidemic differential equation
Jun
17
answered Conditional Probability- Correct Score of a soccer match given player scores first
Jun
16
comment $f_n$ sequence of integrable function
Even more simply than that: 1 at one point, 0 everywhere else.
Jun
16
answered $f_n$ sequence of integrable function