Set theory

(mathematics) the number of elements in a set or group (considered as a property of that grouping)

the set of ordered pairs of two given sets

the set of ordered pairs of two given sets

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

the set of ordered pairs of two given sets

a set whose members are members of another set; a set contained within another set

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

a mathematical function that is an onto mapping.; "In fact, if we define a ρ-kernel as the kernel of any surjection of the two graphs of interes…

(mathematics) the set that contains all the elements or objects involved in the problem under consideration; "all other sets are subsets of the…

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…

the set of elements common to two or more sets; "the set of red hats is the intersection of the set of hats and the set of red things"

a set containing all and only the members of two or more given sets; "let C be the union of the sets A and B"

a set containing all and only the members of two or more given sets; "let C be the union of the sets A and B"

a set containing all and only the members of two or more given sets; "let C be the union of the sets A and B"

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

a function expressed as a sum or product of terms; "the expansion of (a+b)^2 is a^2 + 2ab + b^2"

a function in which an independent variable appears as an exponent

a function in which an independent variable appears as an exponent

(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…

(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…

a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions i…

a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of…

a function of two variables i and j that equals 1 when i=j and equals 0 otherwise

a mathematical function whose graph (in Cartesian coordinates with uniform scales) is a line in the plane.; "The height (in centimeters) of a ca…

a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

a mathematical function that is the sum of a number of terms

(mathematics) a symbol or function representing a mathematical operation

a mathematical function that is the sum of a number of terms

a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

(mathematics) a function that changes the position or direction of the axes of a coordinate system

function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis

a polynomial of the fourth degree

ratio of the hypotenuse to the opposite side of a right-angled triangle

ratio of the adjacent side to the hypotenuse of a right-angled triangle

ratio of the adjacent to the opposite side of a right-angled triangle

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"

an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)

a polynomial of the second degree

(mathematics) a transformation in which the direction of one axis is reversed

(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin

ratio of the hypotenuse to the adjacent side of a right-angled triangle

ratio of the hypotenuse to the adjacent side of a right-angled triangle

(mathematics) the sum of a finite or infinite sequence of expressions

ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

ratio of the opposite to the adjacent side of a right-angled triangle

ratio of the opposite to the adjacent side of a right-angled triangle

(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains…

the approach of an infinite series to a finite limit

the approach of an infinite series to a finite limit

an infinite series that has no limit

an infinite series that has no limit

a series derived from the expansion of an exponential expression

the sum of a series of trigonometric expressions; used in the analysis of periodic functions

a geometric progression written as a sum

the sum of terms containing successively higher integral powers of a variable

a homogeneous polynomial having at least two variables