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Jul
8
revised Having 2 functions of the same variable, how can I find the derivative of the first function in relation to the other?
added 26 characters in body
Jul
7
revised How to derive the 3D equation of a torus?
added 28 characters in body
Jul
7
revised Determine whether $\sum \frac{2^n + n^2 3^n}{6^n}$ converges
added 2 characters in body
Jul
7
comment Show that $f$ is constant on the convex set $S$
i like your solution
Jul
7
answered Book to learn Mathematical Probability theory?
Jul
7
answered Using partial derivates to solve for constant?
Jul
6
revised How do I show $\lim_{x\to\infty}f(x) = \lim_{x\to\infty} f '(x)=0$ if $\lim_{x\to\infty}f '(x)^2 + f(x)^3 = 0$?
added 10 characters in body
Jul
6
comment What is the general Ito formula for a function of two processes
Perhaps it would help if you would give a specific example of a problem... Are you interested in a case where $f(x)$ would not be a single-valued function, but would satisfy some SDE of its own?
Jul
6
revised What is the general Ito formula for a function of two processes
edited body; edited tags
Jul
6
comment What is the general Ito formula for a function of two processes
I don't understand ii if $X_t$ is some Ito processand $Y = f(X_t)$, then $Y$ is a usual kind of Ito process -- even in the simplest case of $f(x)=x$, $Y$ would have its own SDE, identical to $X$...
Jul
6
comment How to show that $E(X^k)=npE((Y + 1)^{k-1})$ where $X\sim\mathrm{Bin}(n,p)$ and $Y \sim \mathrm{Bin}(n-1,p)$.
I still don't get it. So $Y \sim \mathcal{B}(n-1,p)$ but what is $X$?
Jul
3
comment Find $\lim_{x\to\infty}\frac{f^{-1}(x)}{\ln(x)}$, where $f(x)=e^x+x^3-x^2+x$, without L'Hospital
@Lucas $$\lim_{x \to \infty} f^{-1}(x) = \infty$$ is equivalent to $$\lim_{x \to \infty} f(x) = \infty$$ (just take $f(\cdot)$ of both sides)
Jun
24
comment Almost sure convergence of $\max(X_1, X_2,\ldots,X_n)$.
you need almost sure convergence, i.e. $$ \mathbb{P}\left[ \lim_{n \to \infty} \max(X_1, \ldots, X_n) = a \right] = 1 $$
Jun
24
comment How can I count the number of $n$ digit positive integers without a specific digit?
@DemetriP :) lol...
Jun
24
revised How to evaluate $\frac{2^{f(\tan x)}-2^{f(\sin x)}}{x^{2}f(\sin x)}$ as $x \to 0$?
added 7 characters in body; edited title
Jun
24
answered How can I count the number of $n$ digit positive integers without a specific digit?
Jun
24
reviewed Approve Limit $(e^x+x)^{1/x}$, when $x\to 0$
Jun
24
comment Rearranging coordinate equation
@PaulCanning i did not understand, but if you impose additional conditions, it may be enough to determine your point exactly.
Jun
24
comment a Maximum of Discrete Function
you sure $a,b \in X$, not $\in \mathbb{R}$?
Jun
24
reviewed Approve Proof $x_n \to \inf (A)$