Math Problem of the Week Forum

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Undergrad Is This Week's POTW Centered on an Anti-Holomorphic Function?
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How Much Work to Pull Up a Second Rope on a Building?
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Can 1, 2, 3, ... be expressed as the disjoint union of three sets?
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Undergrad What is the solution to POTW #210?
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Where Does \(\frac{3}{7}\) Appear for the 5th Time in the Rational Series?
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What is the solution to a Putnam Mathematical Competition problem from 1995?
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How Many Distinct Numbers Are in This Mathematical Sequence?
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Undergrad How to Prove the Logarithm Property for Matrices with Convergent Power Series?
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Is There a Unique Solution to This Random Matrix Problem?
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Undergrad Is a Ring with the Property $r^3 = r$ Always Commutative?
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High School Prove: $ab+ 2a^2b^2 \le a^2 + b^2 + ab^3$ for 0 ≤ a ≤ 1 and 0 ≤ b ≤ 1
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Are these functions necessarily linearly independent?
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Undergrad Can you prove Tate's theorem on bounded mappings?
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High School Is the Expression Involving Inverse Squares of Differences a Square?
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Can we Cut a Necklace? - Problem Of The Week # 215
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High School How Can You Determine the Values of ab+cd Given These Equations?
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Undergrad How to Solve POTW #206 Using Contour Integration?
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Undergrad How can complex numbers be used to solve infinite product and sum equations?
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Can You Crack the Divisibility by 7 Challenge in This Math Puzzle?
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High School Can You Solve This Complex Real Number System Equation?
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What pairs of positive real numbers make the given integral converge?
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Undergrad What makes a group with cyclic automorphism group abelian?
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High School Inequality Proof: x/sqrt(2y^2+5) + y/sqrt(2x^2+5) <= 2/sqrt(7)
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Undergrad Why Are Holomorphic Mappings on Compact Riemann Surfaces Constant?
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Problem of the Week # 212 - April 19, 2016
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High School Can You Prove $\sin(2^{25})^\circ = -\cos(2^\circ)$?
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Undergrad What is the Pohozaev identity for a semi-linear PDE?
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Who has the advantage in the 1-11 game to reach 56?
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High School Can You Prove This Integer Property in Real Numbers?
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High School Prove |a1+2a2+...+nan|≤1 for P(x) with |P(x)|≤|sinx|
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Problem of the Week #201 - Tuesday, April 5, 2016
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Problem of the Week # 210 - April 5, 2016
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What is the maximum distance between two points in a square of side length 1?
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Undergrad What is the Upper Bound for a Holomorphic Function on the Hardy Space?
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High School Triangle Point Conjecture: Proving $\angle BPC+\angle BAC=180^\circ$ | POTW #209
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What is the solution to a problem involving integers on an icosahedron?
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Is Every Collection of Disjoint Open Sets Countable in a Second Countable Space?
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High School Prove: If an Integer is a Sum of Squares, its Square is Also a Sum of Squares
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What is the solution to Problem of the Week #207?
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Undergrad Is Lambda a Convex Mapping?
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High School Solution to POTW #207: Evaluate x^{16}-987x for \sqrt{2}<x<\sqrt{3}
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How can the integral of a continuous function on [0,1] be minimized?
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Undergrad Can Division Rings Be Generated by Products of Perfect Squares?
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High School What is the limit of (1 + tanx)/(1 + sinx)^(1/x^2) as x approaches 0?
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Is Partitioning a Graph into Two Sets a Cut Set?
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Undergrad Can You Solve This Week's Tricky Integral Problem?
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High School Can You Find the Real Solutions to This Complex Equation?
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Undergrad Is an Abelian Group Divisible?
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What is the geodesic on the surface of a right circular cylinder?
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High School What is the radius of the circumcircle for cyclic pentagon $PQRST$?
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What is the fraction of primes that are twin primes up to ten million?
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Undergrad What is the proof for compact essential range of a measurable function?
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High School How Do You Calculate the Sum of Squared Sines in Sequence?
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What are the palindromic primes with an even number of digits?
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Undergrad Sorry, I'm not sure what you're asking for. Could you clarify?
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High School How Do You Solve the System Involving $a$ and $b$ in POTW #202?
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High School What is the numerical value of this tricky equation?
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Undergrad Is Every Continuous Function on a Metric Space Bounded?
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What Real Number and Positive Limit Solve This Integral Ratio Challenge?
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Undergrad Why Does a Real-Valued Function on $[0,\infty)$ Have Limit $0$ at Infinity?
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Is the argument A implies B, therefore A implies B or C valid?
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High School How Many Ways to Color a 2x2016 Grid Using 3 Colors with Adjacency Restrictions?
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What is the Probability of Divisibility by 3?
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Undergrad How Does a Connected Subspace Generate Another in Topological Groups?
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High School Maximizing Real Roots: Find Biggest Possible Value of a | POTW #199
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Undergrad Is Every Solution to a Certain PDE on a Closed Manifold Constant?
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Problem of the Week # 198 - January 12, 2016
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High School Can You Tackle Our Latest Math Challenge on Limits?
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Undergrad What Are the Curvatures of the Quadric Surface at the Origin?
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What is the solution to this week's Problem of the Week?
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High School Circle Chord Midpoint Intersection: Length Comparison of RS and PM
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What are the properties of continuous functions satisfying $f(x)=f(x^2+c)$?
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High School How Can You Maximize the Product of Two Numbers with 100 Good Numbers?
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Undergrad How does homotopy groups of wedge sums relate to the individual spheres?
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What is the Limit of the Greatest Common Divisor in a Matrix Sequence?
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Undergrad Is a Harmonic Function Constant if its Square is Also Harmonic?
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High School How Can You Minimize the Expression Involving Absolute Values?
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Undergrad What is the Homology Spectral Sequence for a Chain Complex with Filtration?
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Can a Straight Line Intersect a Curve in Four Distinct Points?
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High School Polynomial Problem of the Week #194: Find $f(2008)$ for a Degree 2008 Polynomial
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High School What Is the Sum of the Absolute Values of a and b in This Algebraic Puzzle?
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Is There a Geometric Solution for the Interior Point Problem?
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Undergrad Prove that $$\int_0^1 F(x)\cos(2\pi x)\, dx = \pi e^{-2\pi}.$$
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What is the largest absolute value attained by the function?
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Undergrad What is the Galois group of a prime degree polynomial with two nonreal roots?
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High School Can You Tackle This Infinite Nested Radical Equation?
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What is the start time of the snowstorm?
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Undergrad Can You Crack This Tricky Integral Challenge?
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High School Optimizing Angle PXQ with Point Q at (3,8) and Point P at (0,4)
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What is the critical cone angle for Cowboy Joe's lasso?
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Undergrad What is the ring structure of $\Bbb Z[x]/(p, x^2 + 3)$ for certain primes $p$?
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High School What Integral Values Satisfy This Radical Equation?
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Undergrad Problem of the Week #180 - November 10, 2015
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How can you prove that $n^5-n$ is divisible by $30$ for any integer $n\ge 2$?
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High School Can Jessica Ensure Divisibility by x^2+1 in the Polynomial Game?
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Undergrad Can You Tackle Holder's Inequality with Finite Moments in Statistics?
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What is the value of $a_{2015}$ in a sequence with given conditions?
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High School Can Nigel or Jessica Ensure Divisibility of a Polynomial by \(x-2012\)?
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Undergrad Can Euler's Reflection Formula Simplify the POTW #178 Gamma Function Problem?
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What is the Probability of Hitting the Center of a Square Target?
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