Browse Lemmas

Lemmas found: 27

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product

The result obtained by multiplying two or more numbers or quantities.

Noun mathematical_concept Level 276
axiom

A statement accepted as true without proof, used as a starting point for reasoning or a formal system.

Noun mathematical_concept Level 280
cosine

A trigonometric function of an angle, equal to the ratio of the adjacent side to the hypotenuse in a right triangle; more generally, the x-coordinate ...

Noun mathematical_concept Level 329
polynomial

A mathematical expression consisting of one or more terms, each formed by multiplying a constant by a nonnegative integral power of one or more variab...

Noun mathematical_concept Level 329
sine

A trigonometric function of an angle, equal in a right triangle to the ratio of the length of the side opposite the angle to the hypotenuse.

Noun mathematical_concept Level 329
exponent

A number or symbol written above and to the right of another number or symbol to indicate the power to which it is raised.

Noun mathematical_concept Level 380
logarithm

The exponent to which a specified base must be raised to produce a given number.

Noun mathematical_concept Level 380
quotient

The number obtained by dividing one number by another.

Noun mathematical_concept Level 380
tangent

The trigonometric function equal to the sine of an angle divided by its cosine.

Noun mathematical_concept Level 380
antiderivative

A function whose derivative is equal to a given function; an indefinite integral.

Noun mathematical_concept Level 1080
automorphism

An isomorphism from a mathematical structure to itself that preserves the structure and operations.

Noun mathematical_concept Level 1080
codomain

In mathematics, the set of values that a function is declared to map into; the function’s target set, which may contain values that the function does ...

Noun mathematical_concept Level 1080
cohomology

A mathematical method and associated system of invariants used to study topological spaces, geometric objects, or algebraic structures by assigning al...

Noun mathematical_concept Level 1080
divisor

A number by which another number is divided; a factor of the dividend in a division operation.

Noun mathematical_concept Level 1080
exponentiation

The mathematical operation of raising a number or quantity to a power.

Noun mathematical_concept Level 1080
factorization

The process of expressing a mathematical number, polynomial, or other algebraic expression as a product of simpler factors.

Noun mathematical_concept Level 1080
functor

A function-like mapping between categories that maps objects and morphisms while preserving composition and identity morphisms.

Noun mathematical_concept Level 1080
homology

A correspondence between mathematical structures that preserves their essential relationships, especially a mapping between algebraic or topological s...

Noun mathematical_concept Level 1080
homomorphism

A structure-preserving map between two algebraic structures of the same kind, such as groups, rings, or vector spaces; it preserves the relevant opera...

Noun mathematical_concept Level 1080
homotopy

A continuous deformation of one continuous function, map, or path into another within a specified space; formally, a continuous family of maps connect...

Noun mathematical_concept Level 1080
isomorphism

A one-to-one correspondence between the elements of two mathematical structures that preserves the relevant operations, relations, or properties, show...

Noun mathematical_concept Level 1080
morphism

A structure-preserving map between mathematical objects, such as sets, groups, rings, or topological spaces; the exact properties preserved depend on ...

Noun mathematical_concept Level 1080
permutation

A rearrangement of the elements of a set or sequence into a particular order.

Noun mathematical_concept Level 1080
subspace

A subset of a mathematical vector space that is itself a vector space under the same operations.

Noun mathematical_concept Level 1080
quadratic

A polynomial, equation, or function of degree two, especially one involving a variable raised to the second power.

Noun mathematical_concept Level 1399
quadratic equation

A mathematical equation in which the highest power of the variable is two.

Noun mathematical_concept Level 1399
vertex

A point where two or more lines, rays, or sides meet, especially a corner of a geometric figure.

Noun mathematical_concept Level 1399