mathematical problem

C7254

concept

A mathematical problem is a question or task that requires the application of mathematical concepts, methods, or reasoning to find a solution or demonstrate a result.

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All labels observed (27)

Label	Occurrences
mathematical problem canonical	24
decision problem	11
Hilbert problem	9
unsolved problem in mathematics	4
problem in computability theory	3
problem in partial differential equations	3
eigenvalue problem	2
graph theory problem	2
interpolation problem	2
list of mathematical problems	2
mathematical puzzle	2
problem in the calculus of variations	2
combinatorial problem	1
ill-posed problem	1
lattice problem	1
number theory problem	1
open mathematical problem	1
problem in algebraic geometry	1
problem in functional analysis	1
problem in mathematical logic	1
problem in measure theory	1
problem in number theory	1
problem in potential theory	1
problem in real algebraic geometry	1
problem in set theory	1
result in nonlinear programming	1
topology problem	1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction

generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"

Input

Class: mathematical problem

Generated description

A mathematical problem is a question or task that requires the application of mathematical concepts, methods, or reasoning to find a solution or demonstrate a result.

Instances (60)

Instance	Via concept surface
Seven Bridges of Königsberg problem	—
Carathéodory–Fejér interpolation	interpolation problem
P versus NP problem	open mathematical problem
Halting problem	decision problem
Conway’s soldiers	mathematical puzzle
Hodge Conjecture	problem in algebraic geometry
Birch and Swinnerton-Dyer Conjecture	unsolved problem in mathematics
Navier–Stokes existence and smoothness problem	problem in partial differential equations
Wheels	mathematical puzzle
Hilbert’s tenth problem	—
Hilbert’s fourteenth problem	Hilbert problem
Hilbert’s second problem	—
Hilbert’s seventeenth problem	Hilbert problem
Hilbert’s twelfth problem	Hilbert problem
Hilbert’s twenty-second problem	Hilbert problem
Hilbert’s twenty-third problem	Hilbert problem
Cauchy problem	problem in partial differential equations
Satisfiability Modulo Theories (SMT) surface form: Satisfiability Modulo Theories	decision problem
Conway's 99-graph problem	combinatorial problem
Conway's thrackle conjecture	unsolved problem in mathematics
brachistochrone problem	—
Connes embedding problem	problem in functional analysis
Noether's problem	—
Stefan problem	—
Hadamard’s example of ill-posed problems	ill-posed problem
Happy Ending problem	—
Smale’s 18 problems	list of mathematical problems
Hilbert problems	list of mathematical problems
Waring's problem	number theory problem
Hamiltonian cycle concept surface form: Hamiltonian cycle problem	decision problem
Dirichlet problem	—
Riemann hypothesis	unsolved problem in mathematics
Nevanlinna–Pick interpolation	interpolation problem
SAT problem	decision problem
Steiner tree problem	graph theory problem
Erdős distinct distances problem	—
Erdős discrepancy problem	—
Erdős–Turán conjecture	unsolved problem in mathematics
Yamabe problem	—
Hilbert's first problem	—
short integer solution (SIS) problem surface form: short integer solution problem	lattice problem
Post correspondence problem	decision problem
SAT	decision problem
3-SAT	decision problem
Clique problem	decision problem
Subset sum problem	decision problem
Sturm–Liouville problem	eigenvalue problem
Jacobi's inversion problem	—
Hilbert’s sixteenth problem	Hilbert problem
Hilbert’s nineteenth problem	Hilbert problem