mathematical object
C3507
concept
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
All labels observed (72)
| Label | Occurrences |
|---|---|
| mathematical concept | 236 |
| mathematical object canonical | 73 |
| topological invariant | 23 |
| sporadic simple group | 16 |
| mathematical function | 15 |
| mathematical notation | 14 |
| knot invariant | 11 |
| mathematical constant | 11 |
| mathematical operator | 10 |
| algebraic curve | 9 |
| mathematical construction | 8 |
| number-theoretic function | 8 |
| combinatorial object | 7 |
| arithmetic function | 6 |
| complex number | 6 |
| arithmetic invariant | 5 |
| real number | 5 |
| Hurwitz surface | 4 |
| algebraic structure property | 4 |
| class of polyhedra | 4 |
| complex manifold | 4 |
| differentiable manifold | 4 |
| integral domain | 4 |
| multiplicative function | 4 |
| polynomial invariant | 4 |
| projective variety | 4 |
| compact Riemann surface | 3 |
| complex-valued function | 3 |
| mathematical construct | 3 |
| mathematical curve | 3 |
| mathematical visualization | 3 |
| meromorphic function | 3 |
| object in arithmetic geometry | 3 |
| object in number theory | 3 |
| object in representation theory | 3 |
| abstract object | 2 |
| complex algebraic curve | 2 |
| one-dimensional complex manifold | 2 |
| operator algebra | 2 |
| real-valued function | 2 |
| C*-algebra | 1 |
| analytic space | 1 |
| constructible polygon problem | 1 |
| definite integral | 1 |
| family of sporadic simple groups | 1 |
| graphical representation of binary quadratic forms | 1 |
| imaginary unit | 1 |
| isomorphism | 1 |
| lattice in 24-dimensional Euclidean space | 1 |
| lattice in the complex plane | 1 |
| mathematical quantity | 1 |
| mathematical set | 1 |
| measure-theoretic notion | 1 |
| named mathematical concept | 1 |
| notion in real analysis | 1 |
| number theoretic object | 1 |
| number-theoretic constant | 1 |
| number-theoretic object | 1 |
| object in abstract algebra | 1 |
| object in dynamical systems theory | 1 |
| object in functional analysis | 1 |
| object in gauge theory | 1 |
| object in harmonic analysis | 1 |
| object in hyperbolic geometry | 1 |
| object in kinetic theory | 1 |
| object in real analysis | 1 |
| object of mathematical physics | 1 |
| objective function | 1 |
| representation of natural numbers | 1 |
| straightedge-and-compass construction | 1 |
| tool in additive number theory | 1 |
| topological notion | 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 object
Generated description
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
Instances (494)
| Instance | Via concept surface |
|---|---|
| Kronecker delta | mathematical function |
|
Infinity
linked to:
infinity
|
mathematical concept |
| Brenier map | mathematical concept |
| Lévy processes | mathematical concept |
| Lévy measure | mathematical concept |
| Tutte polynomial | polynomial invariant |
| Ptolemy’s equant | mathematical construct |
| Heaviside step function | mathematical function |
| Weierstrass function | mathematical function |
| Weyl group | mathematical concept |
| Dirac matrices | — |
| Hardy–Littlewood maximal function | mathematical operator |
| Euclidean metric | mathematical concept |
| Dirac spinors | — |
| Cartan subalgebras | mathematical concept |
| Cartan decomposition | mathematical concept |
| Calabi–Yau manifold | complex manifold |
| Lefschetz operator | mathematical concept |
| Peierls bracket | mathematical concept |
| Peano notation | mathematical notation |
| Laplace transform | mathematical concept |
| Lie pseudogroup | mathematical concept |
| Lie subgroup | mathematical concept |
| Lie algebra representation | mathematical concept |
| Lie group | differentiable manifold |
| Fermat curve | algebraic curve |
| Taylor series | mathematical concept |
| Pochhammer symbol | mathematical notation |
| Gamma function | meromorphic function |
| Minkowski functional | mathematical concept |
|
von Neumann algebra
linked to:
von Neumann algebras
|
operator algebra |
| Maxwell stress tensor | mathematical construct |
|
Bézier curve
linked to:
Bezier curves
|
mathematical curve |
| Poincaré map | mathematical concept |
| Archimedean solids | class of polyhedra |
| Archimedes' spiral | mathematical curve |
|
cyclotomic field
linked to:
cyclotomic fields
|
— |
| Gaussian periods | mathematical concept |
| i | imaginary unit |
| Bernoulli lemniscate | algebraic curve |
|
Gauss's constant
linked to:
OEIS A064988
|
mathematical constant |
|
Noetherian ring
linked to:
Noetherian rings
|
algebraic structure property |
| Artinian module | — |
|
Wiener process
linked to:
Wiener
|
mathematical concept |
| Zariski topology | mathematical concept |
| Hahn series | mathematical concept |
| Cantor set | mathematical set |
| Conway sphere | — |
| Conway chained arrow notation | mathematical notation |
| Dowker–Thistlethwaite notation | mathematical notation |