davin
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 Oct28 awarded Yearling Sep30 awarded Explainer Sep24 comment Prove asymptotic relationship using the limit method Explain convincingly to someone for whom it doesn't "make sense" why the limit is zero. For example, use a particular theorem you learned in class. Sep24 comment Prove asymptotic relationship using the limit method "makes sense" probably won't get you marks in your exam. "bounds" is not sufficient either. Jul29 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. Jul12 comment Points in a triangle: Pigeon-hole Principle In a similar fashion to how you did it with smaller triangles. Jul12 answered Points in a triangle: Pigeon-hole Principle Jul2 awarded Curious Jun28 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. Jun28 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. Jun28 answered Find all $\lambda$ such that the set is linearly independent. Jun23 answered Inequality for concave functions Jun17 answered Statement about Integral Jun17 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. Jun17 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. Jun17 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 Jun17 answered Let $f$ be a differentiable function and for all $x$ $f'(x)>x$, prove $f$ isn't uniformly continuous Jun17 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 $z+y$. Jun17 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. Jun17 revised Method to solve epidemic differential equation tex + grammer