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Mathematical problems

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Seven Bridges of Königsberg
mathematical problem
Monty Hall problem
mathematical problem
birthday problem
mathematical problem
halting problem
problem of determining whether a given program will finish running or continue forever
knight's tour
sequence of moves of a knight on a chessboard to visit each square exactly once
Basel problem
mathematical problem
Eight queens puzzle
mathematical chess problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other
Waring's problem
problem in number theory
boundary value problem
differential equation together with a set of additional constraints (boundary conditions)
stable marriage problem
mathematical problem of finding a stable matching between two equally sized sets of elements given an ordering of preferences for each element
mathematical problem
problem that can be possibly solved via mathematics
Cauchy problem
mathematical problem
Josephus problem
mathematical counting-out question
Happy Ending problem
problem about proving that five points in the plane will have a subset forming the vertices of a convex quadrilateral
squaring the square
mathematical problem of tiling an integral square using only other integral squares
Dirichlet problem
problem of finding a function which solves a specified partial differential equation with prescribed boundary values
Hadwiger–Nelson problem
mathematical problem
Tarski's circle-squaring problem
mathematical problem
minimum-cost flow problem
mathematical optimization problem
clock angle problem
Mathematical question
dissection problem
the problem of partitioning a given shape into pieces that can be rearranged to form a second given shape
Napoleon's problem
given a circle and its centre, the problem of dividing the circle into four equal arcs using only a compass
block-stacking problem
mathematical problem
Plateau's problem
in calculus of variations, the problem proving the existence of a minimal surface with a given boundary
Illumination problem
mathematical problem
napkin ring problem
problem in geometry
Yamabe problem
problem in differential geometry
Znám's problem
the problem of finding sets of integers in which each is a proper divisor of one plus the product of the others
Alhazen's problem
mathematical problem in geometrical optics
moment problem
trying to map moments to a measure that generates them
Cheryl's Birthday
a variant of the classic Birthday problem
dining cryptographers problem
protocol for secure multi-party computation of the boolean-OR function
Cramer-Castillon's problem
Boolean Pythagorean triples problem
mathematical problem
square trisection
Kirkman's schoolgirl problem
mathematical problem
Regiomontanus' angle maximization problem
famous mathematical optimization problem
Schoenflies problem
problem in geometric topology
zero-sum problem
mathematical problem
Kuratowski's closure-complement problem
theorem that the monoid generated by taking closures and complements of a given set in a topological space has size at most 14, attained by e.g. the set (0, 1) ∪ (1, 2) ∪ {3} ∪ ([4, 5] ∩ ℚ) of reals
Oberwolfach problem
Unsolved problem of discrete mathematics
Newton–Pepys problem
probability problem
No-three-in-line problem
topic in discrete geometry
Orchard-planting problem
geometry; how many 3-point lines can n points form
Behrens–Fisher problem
mathematical problem
firing squad synchronization problem
problem in computer science and cellular automata