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Mathematics
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AnCar
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8
Game Theory / Probability Interview question
Nov 22, 2023
5
An upper bound on the probability of that the sum of k i.i.d uniform random variable is at most x?
Apr 6, 2022
5
Find all $f\in C^\infty(\mathbb R)$ such that : $\forall x\in \mathbb R, f(ax)+f(bx)+f(cx)=0$ with $a,b,c>0$ and distinct
Oct 19, 2022
5
If $|ax^2+bx+c|\leq 2\ \ \forall x\in[-1,1]$ then find the maximum value of $|cx^2+2bx+4a|\ \ \forall x\in [-2,2]$.
Apr 9, 2022
5
"Wolstenholme prime" Related question.
Apr 28, 2022
4
Spivak, Ch. 22 "Infinite Sequences", Problem 17b: $f$ cont., $\lim\limits_{x\to\infty} [f(x+1)-f(x)]=l$. Prove $\lim\limits_{x\to\infty} [f(x)/x]=l$
Oct 20, 2022
3
Harmonic ratio in a parabola and a peaked kissing circle
Jun 20, 2023
3
the primitive of $f(x)=\frac {x^{2009}} {(1+x^2)^{1006}}$ with respect to x is $\frac {1} {n} (\frac {x^2} {1+x^2})^{m}$ then find m and n.
Nov 17, 2023
3
Probability of crossing between a line on a circle and a line segment inside the circle
Apr 8, 2022
3
prove that for every two vectors $x=x_1u_1+...+x_nu_n$ and $y=y_1u_1+...+y_nu_n$ $(x,y)= \sum_{i=1}^nx_i\bar y_i$ $\iff$ $B$ is an orthonormal basis
Apr 10, 2022