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 |
|---|---|
| Poisson kernel | mathematical concept |
| Poisson integral | mathematical concept |
|
Green's functions
surface form:
Green's function
|
mathematical concept |
| Symanzik polynomials | — |
| Sylvester matrix | — |
| Sylvester determinant | mathematical concept |
| spacetime manifold | mathematical concept |
|
Lipschitz
surface form:
Lipschitz continuity
|
mathematical concept |
| p-adic analytic groups | mathematical concept |
| Verma module | — |
| Casimir operator | mathematical concept |
| Christoffel symbols | — |
|
Bernoulli differential equations
surface form:
Bernoulli differential equation
|
named mathematical concept |
| Hirzebruch genera | topological invariant |
| Agmon–Douglis–Nirenberg estimates | mathematical concept |
| Poincaré coordinates | mathematical concept |
| Lebesgue integration | mathematical concept |
| Radon–Nikodym derivative | mathematical concept |
|
Leo Pochhammer
surface form:
Pochhammer symbol
|
mathematical notation |
|
Euler–Mascheroni constant γ
surface form:
Euler–Mascheroni constant
|
mathematical constant |
| Courbe dominante | mathematical concept |
|
Itô processes
surface form:
Itô process
|
— |
| Hausdorff dimension | mathematical concept |
| Hausdorff metric | mathematical concept |
| Gale transform | mathematical construction |
| Steinmetz solid | — |
|
Bochner
surface form:
Bochner integral
|
mathematical concept |
| Bochner integral | mathematical concept |
| Newton interpolation polynomial | mathematical concept |
| Lorenz attractor | — |
| Mayer–Vietoris sequence in de Rham cohomology | mathematical concept |
| Verdier duality | mathematical concept |
| Johnson solids | class of polyhedra |
|
Johnson solids are not vertex-transitive
surface form:
Johnson solids
|
class of polyhedra |
| Fermat's spiral | — |
| Stokes lines | mathematical concept |
| Stokes phenomenon | mathematical concept |
| Mueller matrix | — |
| Landen transformations | mathematical concept |
| Dedekind domain | integral domain |
| Artinian ring | algebraic structure property |
| Grothendieck toposes | mathematical concept |
| Morawetz inequalities | mathematical concept |
| Aleph (mathematics) | mathematical notation |
| Wiener–Hopf equations | mathematical concept |
| Laurent series | mathematical concept |
| Puiseux series | mathematical concept |
| Pontryagin classes | topological invariant |
| Euler class | topological invariant |
|
Euclidean domains
surface form:
Euclidean domain
|
integral domain |