Browse Lemmas

Lemmas found: 43

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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
associativity

The property of a mathematical operation whereby changing the grouping of its operands does not change the result.

Noun mathematical_concept Level 1399
atomic orbital

An atomic orbital is a region around an atomic nucleus where an electron is likely to be found.

Noun mathematical_concept Level 1399
binomial

A binomial is an algebraic expression consisting of two terms joined by a plus or minus sign.

Noun mathematical_concept Level 1399
coefficient alpha

A coefficient or parameter conventionally represented by the Greek letter α, especially in mathematics, science, or finance.

Noun mathematical_concept Level 1399
cohomology groups

The algebraic groups, rings, or modules assigned to a mathematical object by a cohomology theory.

Noun mathematical_concept Level 1399
commutativity

The property of a mathematical operation whereby changing the order of its operands does not change the result.

Noun mathematical_concept Level 1399
convergence

In mathematics, convergence is the tendency of a sequence, series, or process to approach a particular limit.

Noun mathematical_concept Level 1399
determinant

A scalar value calculated from a square matrix according to a specific rule, used in linear algebra.

Noun mathematical_concept Level 1399
diagonal

A line segment joining two nonadjacent vertices of a polygon.

Noun mathematical_concept Level 1399
enthalpy

Enthalpy is a thermodynamic quantity equal to a system’s internal energy plus the product of its pressure and volume, used especially to describe heat...

Noun mathematical_concept Level 1399
expression

A mathematical expression is a combination of numbers, variables, and operations that represents a quantity or relationship.

Noun mathematical_concept Level 1399
factor

A number or algebraic expression that divides another exactly, or one of the quantities multiplied together to form a product.

Noun mathematical_concept Level 1399
momentum

The quantity of motion of an object, calculated as its mass multiplied by its velocity.

Noun mathematical_concept Level 1399
multiple

A number that can be divided by another number without a remainder; for example, 12 is a multiple of 3.

Noun mathematical_concept Level 1399
negative

A number, quantity, or value less than zero.

Noun mathematical_concept Level 1399
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
vertex

The point on a parabola where it reaches its maximum or minimum value and changes direction.

Noun mathematical_concept Level 1399