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Topic
First Poster
Last Poster
Equation over a finite field
loup blanc 1
N
by alexheinis
Find the set of 
such that the equation in the unknown 
:
admits 
roots: 
s.t. 
.
such that the equation in the unknown 
:
admits 
roots: 
s.t. 
.
1 reply
Integration Bee Kaizo
Calcul8er 51
N
by BaidenMan
Hey integration fans. I decided to collate some of my favourite and most evil integrals I've written into one big integration bee problem set. I've been entering integration bees since 2017 and I've been really getting hands on with the writing side of things over the last couple of years. I hope you'll enjoy!
51 replies
Two times derivable real function
Valentin Vornicu 10
N
by Rohit-2006
Source: RMO 2008, 11th Grade, Problem 3
Let 
be a function, two times derivable on 
for which there exist 
such that
![\[ \frac { f(b)-f(a) }{b-a} \neq f'(c) ,\]](//latex.artofproblemsolving.com/a/3/1/a31861ef909a6e17ed8b495b9b9b16d887ba573f.png)
for all 
.
Prove that
.
be a function, two times derivable on 
for which there exist 
such that![\[ \frac { f(b)-f(a) }{b-a} \neq f'(c) ,\]](http://latex.artofproblemsolving.com/a/3/1/a31861ef909a6e17ed8b495b9b9b16d887ba573f.png)
for all 
.Prove that
.
10 replies
Find the volume of the solid
r02246013 3
N
by Mathzeus1024
Find the volume of the solid bounded by the graphs of 
, 
and 
.
, 
and 
.
3 replies
Find the greatest possible value of the expression
BEHZOD_UZ 0
Source: Yandex Uzbekistan Coding and Math Contest 2025
Let 
be complex numbers with 
. Find the greatest possible value of the expression 
be complex numbers with 
. Find the greatest possible value of the expression 
0 replies
high school math
aothatday 8
N
by EthanNg6
Let 
be a positive root of the equation 
. Prove that the following sequence converges: 
be a positive root of the equation 
. Prove that the following sequence converges: 
8 replies
Why is this series not the Fourier series of some Riemann integrable function
tohill 1
N
by alexheinis
(0<x<2π)
1 reply
Research Opportunity
dinowc 0
Hi everyone, my name is William Chang and I'm a second year phd student at UCLA studying applied math. Over the past year, I've mentored many undergraduates at UCLA to finished papers (currently under review) in reinforcement learning (see here. :juggle:)
I'm looking to expand my group (and the topics I'm studying) so if you're interested, please let me know. I would especially encourage you to reach out to me chang314@g.ucla.edu if you like math. :wow:
I'm looking to expand my group (and the topics I'm studying) so if you're interested, please let me know. I would especially encourage you to reach out to me chang314@g.ucla.edu if you like math. :wow:
0 replies
Computational Calculus - SMT 2025
Munmun5 3
N
by alexheinis
Source: SMT 2025
1. Consider the set of all continuous and infinitely differentiable functions 
with domain ![$[0,2025]$](//latex.artofproblemsolving.com/d/1/7/d17ac41d54c4b1888fb8bb43cf11b372691694a0.png)
satisfying 
and 
is strictly increasing on Compute smallest real M such that all functions in this set ,
.
2. Polynomials
have local extrema at 
respectively. find 
. Here 
are constants .
3. Let
be the region in the complex plane enclosed by curve 
for 
. Compute perimeter of .
with domain ![$[0,2025]$](http://latex.artofproblemsolving.com/d/1/7/d17ac41d54c4b1888fb8bb43cf11b372691694a0.png)
satisfying 
and 
is strictly increasing on Compute smallest real M such that all functions in this set ,
.2. Polynomials
have local extrema at 
respectively. find 
. Here 
are constants .3. Let
be the region in the complex plane enclosed by curve 
for 
. Compute perimeter of .
3 replies
