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Forums
Mathematics
General Math
MHB Math Problem of the Week
Math POTW for University Students Forum
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POTW
Sum of an Alternating Series
Yesterday, 1:54 PM
Replies
9
Views
267
POTW
Limit of a Nonnegative Continuous Function
May 1, 2024
Replies
1
Views
256
POTW
Does the Taylor series for arctan converge at x = 1?
May 1, 2024
Replies
19
Views
1K
POTW
Groups of Prime Power Order
Apr 28, 2024
Replies
1
Views
159
POTW
Inequality of Determinants
Nov 30, 2023
Replies
10
Views
714
POTW
A Series Converging to a Lipschitz Function
Oct 25, 2023
Replies
1
Views
474
POTW
Neumann Boundary Value Problem in a Half Plane
Oct 22, 2023
Replies
1
Views
446
POTW
Does the Alternating Binomial Sum Formula Hold for All Positive Integers?
Sep 11, 2023
Replies
1
Views
451
POTW
Integration Over a Line in the Complex Plane
Sep 10, 2023
Replies
8
Views
671
POTW
Power Sums Limits: Evaluating $\lim_{n\to \infty}$
Jul 24, 2023
Replies
3
Views
615
POTW
Solution to a Matrix Quadratic Equation
Jul 20, 2023
Replies
4
Views
644
POTW
Hölder Continuous Maps from ##R## to a Metric Space
Jun 25, 2023
Replies
3
Views
682
POTW
Find Limit of $$\frac{x}{e} - \left(\frac{x}{x+1}\right)^x$$ at Infinity
May 29, 2023
Replies
3
Views
599
POTW
An Integral with Fractional Part
May 18, 2023
Replies
3
Views
640
POTW
Product of Two Finite Cyclic Groups
May 11, 2023
Replies
1
Views
552
POTW
Prove Hermitian Matrices Satisfy ##H^2 = H^\dagger H##
Apr 30, 2023
Replies
22
Views
1K
POTW
Fourier Series on the Unit Interval
Apr 4, 2023
Replies
3
Views
815
POTW
A Test for Absolute Convergence of a Series
Apr 4, 2023
Replies
1
Views
560
POTW
A Linear Operator with Trace Condition
Mar 6, 2023
Replies
1
Views
648
POTW
Ramanujan Sums: Showing $c_n(k)$
Feb 28, 2023
Replies
3
Views
692
POTW
Definite Integral of a Rational Function
Feb 15, 2023
Replies
6
Views
916
POTW
Solve Linear System of ODEs: x',y' w/ Initial Conditions x(0),y(0)
Feb 5, 2023
Replies
10
Views
1K
POTW
Preservation of Local Compactness
Jan 16, 2023
Replies
4
Views
757
POTW
Is the Rank of AB Related to the Ranks of A and B?
Jan 8, 2023
Replies
2
Views
892
POTW
Show That the Curve is Straight
Dec 18, 2022
Replies
4
Views
857
POTW
Gaussian Integrals in Two Dimensions
Dec 12, 2022
Replies
3
Views
754
POTW
Uniformly Continuous Functions on the Real Line
Dec 7, 2022
Replies
15
Views
950
POTW
Exponential-Type Integrals
Nov 13, 2022
Replies
11
Views
1K
POTW
Expected Value of a Maximum
Oct 23, 2022
Replies
14
Views
2K
POTW
Support of a Finitely Generated Module
Oct 16, 2022
Replies
7
Views
1K
POTW
Infinite Sequences of Sines
Oct 2, 2022
2
Replies
44
Views
2K
POTW
A Modified Basis in an Inner Product Space
Sep 7, 2022
Replies
2
Views
876
POTW
Proof of Asymptotic Equality: $\sum_{n=0}^\infty a_n\frac{x^n}{n!} \sim ae^x$
Aug 22, 2022
Replies
1
Views
767
MHB
Can a Topological Space Be Homotopy Equivalent to a Cylinder?
Aug 19, 2022
Replies
3
Views
1K
MHB
Is $SO(3)$ Path-Connected?
Jun 28, 2022
Replies
1
Views
997
MHB
Can Continuity Ensure Infinite Limits in Nested Functions?
May 31, 2022
Replies
1
Views
3K
MHB
Is Function $f$ Convex if its Hessian Matrix is Positive Semidefinite?
Aug 17, 2021
Replies
1
Views
2K
MHB
What is the Unique Linear Functional in $M_n(\Bbb F)$ Satisfying Two Conditions?
Jun 1, 2021
Replies
1
Views
2K
MHB
How to prove the convergence of a series with absolute values?
Apr 6, 2021
Replies
1
Views
2K
MHB
Can You Evaluate This Tricky Improper Integral?
Oct 14, 2020
Replies
1
Views
2K
MHB
How Do You Prove a Point is Critical When a Function is Non-Negative Nearby?
Oct 6, 2020
Replies
1
Views
2K
MHB
Show that the equation $2a^3 - 7b^2 = 1$ has no solution over the integers
Jul 21, 2020
Replies
1
Views
986
MHB
Is $K$ Contained in the Center of $G$ if $|K|=5$ and $|G|$ is Odd?
Jun 10, 2020
Replies
1
Views
2K
MHB
Can You Tackle the Subset Chain Challenge in Math?
May 4, 2020
Replies
1
Views
1K
MHB
Can Harmonic Functions Agree at All Points in a Bounded Domain?
Apr 22, 2020
Replies
1
Views
3K
MHB
Prove the Famous Result: \(\sum_{k = 1}^\infty \frac{1}{k^2} = \frac{\pi^2}{6}\)
Jan 21, 2020
Replies
1
Views
3K
MHB
How can you evaluate the integral of cosine raised to the fifth power?
Dec 31, 2019
Replies
1
Views
3K
MHB
Why Are There an Odd Number of Elements in a Finite Group Where g^3 Equals 1?
Sep 25, 2019
Replies
1
Views
3K
MHB
Can compact Hausdorff sets be expanded by open sets?
Sep 14, 2019
Replies
1
Views
2K
MHB
What is the formula for the volume of a solid unit n-sphere in n+1 dimensions?
Jul 23, 2019
Replies
1
Views
2K
MHB
Is the Tensor Product of Flat Modules Flat?
Jul 23, 2019
Replies
1
Views
3K
MHB
Can You Solve This Linear System of ODE with Initial Conditions?
Jun 18, 2019
Replies
1
Views
2K
MHB
Is $g(z)$ holomorphic if $f$ is holomorphic in $G$?
Jun 12, 2019
Replies
1
Views
2K
MHB
Is $M$ a Finite Metric Space if $BC(M)$ is a Finite Real Vector Space?
Jun 4, 2019
Replies
1
Views
2K
MHB
Do Complex Plane Medians Intersect at Triangle Centroid?
May 21, 2019
Replies
1
Views
2K
MHB
Can You Tackle This Week's Challenging PDE?
May 9, 2019
Replies
1
Views
2K
MHB
Is There a Simple Group of Order $2n$ for Odd $n \geq 3$?
Apr 24, 2019
Replies
1
Views
2K
MHB
Can You Tackle This Advanced Series Summation Challenge?
Apr 24, 2019
Replies
1
Views
2K
MHB
What Are This Week's Math Challenges in POTW #342?
Mar 22, 2019
Replies
1
Views
2K
MHB
Is Orientability Preserved by Local Diffeomorphisms?
Mar 5, 2019
Replies
1
Views
2K
MHB
Can You Match Partitions from Set A and Subset B?
Feb 22, 2019
Replies
1
Views
2K
MHB
How Fast Does the Chain Move Off the Table in POTW #339?
Feb 13, 2019
Replies
1
Views
2K
MHB
Can an analytic function on the half plane be represented by an integral?
Feb 5, 2019
Replies
1
Views
1K
MHB
How Do You Prove the Inequality Involving Primes and Harmonic Sum for POTW #337?
Feb 1, 2019
Replies
1
Views
2K
MHB
Is the one-point compactification of X-S homeomorphic to X/S?
Jan 15, 2019
Replies
1
Views
2K
MHB
What is the proof that a commutative ring with prime proper ideals is a field?
Jan 6, 2019
Replies
2
Views
2K
MHB
How to Derive g(x) from f(x) Using the Möbius Function?
Dec 18, 2018
Replies
1
Views
2K
MHB
What is the solution to this week's POTW?
Dec 11, 2018
Replies
1
Views
1K
MHB
Did Ackbach Solve This Week's Advanced Math POTW Correctly?
Dec 5, 2018
Replies
1
Views
1K
MHB
How to Prove the Integral Identity in POTW #331?
Nov 27, 2018
Replies
2
Views
2K
MHB
How to Submit Solutions for POTW #330?
Nov 13, 2018
Replies
1
Views
2K
MHB
Is Any Subgroup of a Finite Group with Smallest Prime Order Divisor Normal?
Oct 30, 2018
Replies
1
Views
2K
MHB
Is a dense, locally compact subspace always open in a compact Hausdorff space?
Oct 23, 2018
Replies
1
Views
1K
MHB
Why can't $u$ achieve its maximum in the interior of $\Omega$?
Oct 16, 2018
Replies
1
Views
1K
MHB
Is a Uniformly Convergent Sequence of Bounded Functions Also Bounded?
Oct 9, 2018
Replies
1
Views
2K
MHB
How many subspaces can be formed in a vector space over a finite field?
Oct 3, 2018
Replies
1
Views
2K
MHB
Is the Quotient of a Banach Space by a Closed Linear Subspace also Banach?
Sep 26, 2018
Replies
1
Views
1K
MHB
Problem Of The Week # 323 - Sep 14, 2018
Sep 20, 2018
Replies
1
Views
1K
MHB
Are There Infinite Primes of the Form 4k + 1?
Sep 14, 2018
Replies
1
Views
2K
MHB
How Do Nonempty Closed Sets Intersect in Compact Spaces?
Sep 6, 2018
Replies
1
Views
1K
MHB
Can You Crack This Vector Identity Challenge?
Aug 31, 2018
Replies
2
Views
1K
MHB
What is the Sum of a Series Involving Sine Squared for $0 < x < \pi$?
Aug 25, 2018
Replies
1
Views
2K
MHB
How can you prove the number-theoretic equation $\sum_{d|n} \phi(d) = n$?
Aug 15, 2018
Replies
1
Views
2K
MHB
What is the Solution to POTW #317?
Aug 7, 2018
Replies
1
Views
2K
MHB
Can You Prove This Advanced Mathematical Inequality?
Aug 1, 2018
Replies
1
Views
2K
MHB
Is $f$ Constant if Distance Between Points is Raised to a Power Greater than 1?
Jul 25, 2018
Replies
1
Views
2K
MHB
How can a rank 1 complex matrix be written as a product of two matrices?
Jul 18, 2018
Replies
1
Views
2K
MHB
Is the direct sum of isomorphic commutative rings always equal in size?
Jul 11, 2018
Replies
1
Views
2K
MHB
Can Two Solutions of a PDE be Equal with Given Boundary Conditions?
Jul 3, 2018
Replies
2
Views
2K
MHB
What is the volume of a pyramid with given side lengths?
Jun 19, 2018
Replies
1
Views
2K
MHB
Can any two bounded functions be transformed into a maximum of two functions?
May 31, 2018
Replies
1
Views
2K
MHB
Given $n$ points in the plane, any listing (permutation) $p_1, p_2,\dots,p_n$
May 17, 2018
Replies
1
Views
2K
MHB
What values of alpha make these curves tangent?
May 8, 2018
Replies
1
Views
2K
MHB
John tosses $6$ fair coins, and Mary tosses $5$ fair coins. What is the probability that John gets more "heads" than Mary?
May 3, 2018
Replies
1
Views
2K
MHB
What is the largest possible radius of a circle contained in a $4$-dimensional hypercube of side length $1?$
Apr 24, 2018
Replies
1
Views
2K
MHB
Problem Of The Week # 305 - Apr 10, 2018
Apr 19, 2018
Replies
1
Views
1K
MHB
Can one choose a winning team from each day in a round-robin tournament with no repeats?
Apr 10, 2018
Replies
1
Views
2K
MHB
Find the locus of a point moving so that the sum of its perpendicular distances from the four lines is constant
Mar 30, 2018
Replies
1
Views
1K
MHB
If $k$ is large, the expression above is approximately $\frac{1}{3}$.
Mar 23, 2018
Replies
1
Views
2K
MHB
Is the Area and Radius of a Triangle Always Proportional to its Side Lengths?
Mar 16, 2018
Replies
1
Views
2K
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Mathematics
General Math
MHB Math Problem of the Week
POTW University
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Math problems will be posted each week on Monday, most likely early in the morning (1am, 2am, etc.) Eastern Standard Time. There will be one problem each week at the university math level.
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