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Forums
Mathematics
General Math
MHB Math Problem of the Week
Math POTW for University Students Forum
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MHB
If $k$ is large, the expression above is approximately $\frac{1}{3}$.
Mar 23, 2018
Replies
1
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2K
MHB
Is the Area and Radius of a Triangle Always Proportional to its Side Lengths?
Mar 16, 2018
Replies
1
Views
2K
MHB
Can you find the limit of a complex function containing integrals and exponents?
Mar 6, 2018
Replies
1
Views
1K
MHB
Are Not More Than 70 Percent of Triangles Acute-Angled?
Feb 26, 2018
Replies
2
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2K
MHB
Odd Prime Factor of \( a_{2015} \)?
Feb 3, 2018
Replies
1
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2K
MHB
When Is \( (k+1)^n+(k+2)^n+(k+3)^n+(k+4)^n+(k+5)^n \) Divisible by 5?
Jan 26, 2018
Replies
1
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2K
MHB
Is $h(x)$ a linear polynomial?
Jan 18, 2018
Replies
1
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2K
MHB
Is Triangle ABC a Right-Angled Triangle in Tetrahedron OABC?
Jan 12, 2018
Replies
1
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2K
MHB
Is the Putnam Solution for Var(fg) Inequality Correct?
Jan 4, 2018
Replies
1
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2K
MHB
Problem Of The Week # 293 - Dec 14, 2017
Dec 27, 2017
Replies
1
Views
2K
MHB
How Is the Infinite Product of a Recurrence Sequence Solved?
Dec 14, 2017
Replies
1
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1K
MHB
How many pages are in the first 5 chapters of the novel?
Dec 8, 2017
Replies
1
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1K
MHB
Problem Of The Week # 290 - Nov 24, 2017
Dec 1, 2017
Replies
1
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1K
MHB
This proves the claim.
Nov 24, 2017
Replies
1
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2K
MHB
Problem Of The Week # 288 - Nov 09, 2017
Nov 16, 2017
Replies
1
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1K
MHB
Hence the original sum equals $\pi^2/16$.
Nov 9, 2017
Replies
1
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1K
MHB
Problem Of The Week # 286 - Oct 24, 2017
Oct 31, 2017
Replies
1
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1K
MHB
How Does Grouping Terms Simplify the Infinite Series in This Week's POTW?
Oct 24, 2017
Replies
1
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2K
MHB
Why is $X$ connected if $A$ and $X/A$ are connected in a topological group?
Oct 18, 2017
Replies
1
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2K
MHB
How Do You Solve the Alternating Series in POTW #283?
Oct 11, 2017
Replies
1
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1K
MHB
Is $\theta(N)$ a normal subgroup of $G$?
Oct 5, 2017
Replies
1
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2K
MHB
Evaluate the integral $\displaystyle \int_0^{\infty}\frac{dx}{(1+x^2)^{\alpha/2}}$ for $\alpha>1$
Oct 4, 2017
Replies
1
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2K
MHB
What is the solution to the ODE with coefficients involving x and y?
Sep 25, 2017
Replies
1
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2K
MHB
How can we show that a continuous function satisfies a specific inequality?
Sep 18, 2017
Replies
1
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2K
MHB
Is the commutator of two complex matrices nilpotent?
Sep 12, 2017
Replies
1
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2K
MHB
Find all pairs of real numbers
Sep 6, 2017
Replies
2
Views
2K
MHB
Problem of the Week # 277 - Aug 22, 2017
Aug 29, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 276 - Aug 15, 2017
Aug 22, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 275 - Aug 07, 2017
Aug 15, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 274 - Aug 01, 2017
Aug 7, 2017
Replies
1
Views
1K
MHB
Which values of $m$ make $P_m(x)$ factorable?
Aug 1, 2017
Replies
1
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1K
MHB
What is the probability of an odd number of heads when tossing $n$ biased coins?
Jul 24, 2017
Replies
1
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1K
MHB
What is the binary operation in set $S$ and what is the given property?
Jul 18, 2017
Replies
1
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1K
MHB
Is an Equilateral Triangle Possible with Distinct Points in n-Dimensional Space?
Jul 10, 2017
Replies
1
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1K
MHB
Is there a solution to the equation $x^2+2y^2=3z^2$?
Jul 3, 2017
Replies
1
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1K
MHB
What is the solution to Problem B-4 in the 2000 Putnam Mathematical Competition?
Jun 28, 2017
Replies
1
Views
2K
MHB
Can the Number of Zeroes of a Derivative Be Controlled?
Jun 20, 2017
Replies
1
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1K
MHB
Is the expression $\frac{\gcd(m,n)}{n}\binom{n}{m}$ always an integer?
Jun 12, 2017
Replies
1
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1K
MHB
Is There a Clever Strategy to Solve This Week's Math Challenge?
Jun 5, 2017
Replies
1
Views
1K
MHB
Is there a way to guarantee that the sequence will eventually reach 0?
May 30, 2017
Replies
1
Views
1K
MHB
Can three points on a circle have a distance between them of less than r^(1/3)?
May 23, 2017
Replies
1
Views
1K
MHB
Can the improper integral involving the sine function and a polynomial converge?
May 15, 2017
Replies
1
Views
1K
MHB
What is the maximum area of an octagon inscribed in a circle?
May 8, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 260 - Apr 25, 2017
May 1, 2017
Replies
1
Views
1K
MHB
What are the possible values of the sum of squares, given a specific sum?
Apr 25, 2017
Replies
1
Views
1K
MHB
What is the determinant of a special matrix involving trigonometric functions?
Apr 17, 2017
Replies
1
Views
1K
MHB
Can we prove that $f'(x)<2f(x)$ for all $x$ using the given conditions?
Apr 10, 2017
Replies
1
Views
1K
MHB
What is the limit of a special sum at the point (1,1)?
Mar 25, 2017
Replies
1
Views
1K
MHB
Can a Polynomial Have More Roots Than Its Degree?
Mar 18, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 254 - Feb 27, 2017
Mar 11, 2017
Replies
1
Views
1K
MHB
Can You Solve the 1999 Putnam Competition Problem A-5?
Feb 27, 2017
Replies
1
Views
1K
MHB
What is the solution to Problem A-4 in the 1999 Putnam Mathematical Competition?
Feb 7, 2017
Replies
1
Views
1K
MHB
Can you prove the power series expansion for (1-2x-x^2) has a specific pattern?
Feb 2, 2017
Replies
1
Views
1K
MHB
Can a nonnegative polynomial be expressed as a sum of squares of polynomials?
Jan 25, 2017
Replies
1
Views
2K
MHB
How to Find Polynomials for a Piecewise Function?
Jan 16, 2017
Replies
1
Views
1K
MHB
Problem of the Week # 247 - Jan 02, 2017
Jan 11, 2017
Replies
1
Views
1K
MHB
What Are the Conditions for This Putnam Problem's Sum to Equal Zero?
Jan 2, 2017
Replies
1
Views
1K
MHB
What is the minimum perimeter of a triangle with given vertices?
Dec 27, 2016
Replies
1
Views
1K
MHB
What is the minimum value of a complex expression?
Dec 19, 2016
Replies
1
Views
1K
MHB
Can three points form a square?
Dec 12, 2016
Replies
1
Views
1K
MHB
What is the expected length of the shorter segment when the stick snaps?
Dec 5, 2016
Replies
1
Views
1K
MHB
Can a finite collection of open discs cover a given set in two dimensions?
Nov 25, 2016
Replies
1
Views
1K
MHB
What are the solutions to Problem of the Week #240 - Nov 07, 2016?
Nov 18, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 239 - Oct 28, 2016
Nov 7, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 238 - Oct 20, 2016
Oct 28, 2016
Replies
1
Views
1K
MHB
How can a cube be inscribed in a right circular cone?
Oct 20, 2016
Replies
1
Views
1K
MHB
What is the solution to Problem B-5 in the 1997 Putnam Competition?
Oct 14, 2016
Replies
1
Views
1K
MHB
What is the maximum sum of coefficients in a binomial expansion?
Oct 6, 2016
Replies
1
Views
1K
MHB
What is the sum of a positive integer in fraction form?
Sep 29, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 233 - Sep 15, 2016
Sep 21, 2016
Replies
1
Views
1K
MHB
What is the solution to Problem A-6 in the 1997 Putnam Mathematical Competition?
Sep 15, 2016
Replies
1
Views
1K
MHB
What is the area of region $S$?
Sep 7, 2016
Replies
1
Views
1K
MHB
Is $N_{10}$ even or odd?
Sep 2, 2016
Replies
1
Views
2K
MHB
Can a Group Have Multiple Homomorphisms With the Same Identity?
Aug 25, 2016
Replies
1
Views
1K
MHB
Can You Solve the Origin-Inclusion Convex Polygon Problem?
Aug 17, 2016
Replies
1
Views
1K
MHB
Is there a 2x2 matrix with real entries whose sine is [1, 2016; 0, 1]?
Aug 11, 2016
Replies
1
Views
2K
MHB
What is the maximum sum of products of consecutive integers from 1 to n?
Aug 3, 2016
Replies
1
Views
1K
MHB
Can you prove the inequality for positive integers?
Jul 27, 2016
Replies
1
Views
1K
MHB
Why Is the Sum of Certain Binomial Coefficients Divisible by \( p^2 \)?
Jul 21, 2016
Replies
1
Views
1K
MHB
How Can You Prove the Existence of a Function in POTW #223?
Jul 13, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 222 - Jun 29, 2016
Jul 5, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 221 - Jun 21, 2016
Jun 29, 2016
Replies
1
Views
2K
MHB
Problem of the Week # 220 - Jun 14, 2016
Jun 22, 2016
Replies
1
Views
1K
MHB
Can 1, 2, 3, ... be expressed as the disjoint union of three sets?
Jun 15, 2016
Replies
1
Views
1K
MHB
What is the solution to a Putnam Mathematical Competition problem from 1995?
Jun 7, 2016
Replies
1
Views
1K
MHB
Is There a Unique Solution to This Random Matrix Problem?
Jun 1, 2016
Replies
1
Views
1K
MHB
Are these functions necessarily linearly independent?
May 25, 2016
Replies
1
Views
1K
MHB
Can we Cut a Necklace? - Problem Of The Week # 215
May 19, 2016
Replies
1
Views
1K
MHB
Can You Crack the Divisibility by 7 Challenge in This Math Puzzle?
May 10, 2016
Replies
1
Views
1K
MHB
What pairs of positive real numbers make the given integral converge?
May 3, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 212 - April 19, 2016
Apr 26, 2016
Replies
1
Views
1K
MHB
Who has the advantage in the 1-11 game to reach 56?
Apr 19, 2016
Replies
1
Views
1K
MHB
Problem of the Week # 210 - April 5, 2016
Apr 12, 2016
Replies
1
Views
1K
MHB
What is the maximum distance between two points in a square of side length 1?
Apr 6, 2016
Replies
1
Views
1K
MHB
What is the solution to a problem involving integers on an icosahedron?
Mar 29, 2016
Replies
1
Views
1K
MHB
What is the solution to Problem of the Week #207?
Mar 23, 2016
Replies
1
Views
1K
MHB
How can the integral of a continuous function on [0,1] be minimized?
Mar 16, 2016
Replies
1
Views
1K
MHB
Is Partitioning a Graph into Two Sets a Cut Set?
Mar 9, 2016
Replies
1
Views
2K
MHB
What is the geodesic on the surface of a right circular cylinder?
Mar 1, 2016
Replies
1
Views
1K
MHB
What is the fraction of primes that are twin primes up to ten million?
Feb 23, 2016
Replies
1
Views
1K
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General Math
MHB Math Problem of the Week
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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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