High School Olympiads
Regional, national, and international math olympiads
Regional, national, and international math olympiads
3
M
G
BBookmark
VNew Topic
kLocked
High School Olympiads
Regional, national, and international math olympiads
Regional, national, and international math olympiads
3
M
G
BBookmark
VNew Topic
kLocked
No tags match your search
Mpolynomial
algebra
combinatorics
geometry
inequalities
number theory
IMO
articles
inequalities proposed
function
algebra unsolved
circumcircle
trigonometry
number theory unsolved
inequalities unsolved
polynomial
geometry unsolved
geometry proposed
combinatorics unsolved
number theory proposed
functional equation
algebra proposed
modular arithmetic
induction
geometric transformation
incenter
calculus
3D geometry
combinatorics proposed
quadratics
Inequality
reflection
ratio
logarithms
prime numbers
analytic geometry
floor function
angle bisector
search
parallelogram
integration
Diophantine equation
rectangle
LaTeX
limit
complex numbers
probability
graph theory
conics
Euler
cyclic quadrilateral
No tags match your search
MG
Topic
First Poster
Last Poster
A problem in point set topology
tobylong 1
N
4 hours ago
by alexheinis
Source: Basic Topology, Armstrong
Let
be a closed map with the property that the inverse image of each point in
is a compact subset of
. Prove that
is compact whenever
is compact in
.






1 reply
D1026 : An equivalent
Dattier 0
Today at 1:39 PM
Source: les dattes à Dattier
Let
and
.
Find an equivalent of
.


Find an equivalent of

0 replies
sequences, n-sum of type 1/2
jasperE3 1
N
Today at 11:38 AM
by pi_quadrat_sechstel
Source: Putnam 1991 A6
An
-sum of type
is a finite sequence of positive integers
, such that:
;
, and
. For example, there are five
-sums of type
, namely:
;
;
;
;
. An
-sum of type
is a finite sequence of positive integers
such that:
;
;
each
is in the sequence
defined by
,
,
; and
if
, then
is a subsequence. For example, there are five
-sums of type
, namely:
;
;
;
;
. Prove that for
the number of type
and type
-sums is the same.










































1 reply
Equation of Matrices which have same rank
PureRun89 3
N
Today at 8:51 AM
by pi_quadrat_sechstel
Source: Gazeta Mathematica
Let


Given that there exists positive integer



(Note: The submition of the problem is end so I post this)
3 replies
D1023 : MVT 2.0
Dattier 1
N
Today at 7:55 AM
by Dattier
Source: les dattes à Dattier
Let
derivable on
with 
Is it true that



Is it true that

1 reply
Equivalent condition of the uniformly continuous fo a function
Alphaamss 0
Today at 7:35 AM
Source: Personal
Let
. Get all the
such that
is uniformly continuous on
.




0 replies
Find all continuous functions
bakkune 2
N
Today at 7:22 AM
by bakkune
Source: Own
Find all continuous function
satisfied
for all
and all
.




2 replies
ISI 2019 : Problem #2
integrated_JRC 40
N
Today at 6:56 AM
by Sammy27
Source: I.S.I. 2019
Let
be defined by
(a) Show that
has exactly one point of discontinuity.
(b) Evaluate
at its point of discontinuity.



(b) Evaluate

40 replies
Cube Colouring Problems
Saucepan_man02 0
Today at 6:44 AM
Could anyone kindly post some problems (and hopefully along the solution thread/final answer) related to combinatorial colouring of cube?
0 replies
