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Why are braid numbers of the form $Q_h^2$ or $2 \times Q_h^2$?
combinatorics
problem-solving
Find $x,y,z \in \mathbb Q$ such that $x + \frac 1y, y + \frac 1z, z+ \frac 1x \in \mathbb Z$
number-theory
elementary-number-theory
problem-solving
A company is producing two sets of skis, calculate, given some conditions, how many units of each need to be produced for maximum profit.
optimization
linear-programming
problem-solving
$T \in \text{Hom}V $ is nilpotent implies $I - T$ invertible [duplicate]
vector-spaces
proof-writing
linear-transformations
problem-solving
nilpotence
Calculating Non-Integer Exponent
algorithms
problem-solving
Finding tension in pulley system
physics
problem-solving
How to solve for $x$ in $\sqrt[4]{x+27}+\sqrt[4]{55-x}=4$?
algebra-precalculus
problem-solving
radicals
When chessboards meet dominoes
reference-request
problem-solving
tiling
coloring
Maximize $x_1x_2+x_2x_3+\cdots+x_nx_1$
optimization
problem-solving
Succinct Proof: All Pentagons Are Star Shaped
geometry
reference-request
euclidean-geometry
problem-solving
Is there a pathological continuous function $\ f:\mathbb{R}\to\mathbb{R}\ $ that is nowhere increasing or decreasing and has no local extrema?
real-analysis
general-topology
continuity
problem-solving
transfinite-induction
Invertible Matrices are dense
linear-algebra
general-topology
matrices
problem-solving
Improving concentration and stamina when solving difficult problems.
soft-question
problem-solving
Trouble with Vakil's FOAG exercise 11.3.C
algebraic-geometry
problem-solving
Does every "balloon" (dragon, tadpole, canoe paddle) admit a graceful labeling?
discrete-mathematics
reference-request
graph-theory
problem-solving
trees
Expected Ratio of Coin Flips
probability
recreational-mathematics
problem-solving
Decipher the greeting card $( X^2 +Y^2 -1 ) ^3 - X^2 Y^3 = 0$
problem-solving
How to calculate $I=\frac{1}{2}\int_{0}^{\frac{\pi }{2}}\frac{\ln(\sin y)\ln(\cos y)}{\sin y\cos y}dy$?
integration
trigonometry
logarithms
problem-solving
Find all roots of $\,(x + 1)(x + 2)(x + 3)^2(x + 4)(x + 5) = 360$
complex-numbers
problem-solving
roots
factoring
Why is my reasoning incorrect - probability?
probability
probability-theory
problem-solving
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