Natural numberIn mathematics, the natural numbers are the numbers used for counting up, starting from 0 or 1. The first few natural numbers are 0 (if included), 1, 2, 3, and so on. The terms positive integers, non-negative integers, whole numbers, and counting numbers are also used. The set of the natural numbers is commonly denoted by a bold N or a blackboard bold ℕ.
Fibonacci sequenceIn mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The initial elements of the sequence are F1 = 1 and F2 = 1, though many authors also include a zeroth element F0 = 0. Starting from F0, the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...Indexed familyIn mathematics, a family, or indexed family, is a collection of objects, each associated with an element, known as an index, that belongs to some index set. For example, a family of real numbers, indexed by the set of integers, is a collection of real numbers, where a given function selects one real number for each integer (possibly the same) as indexing.
Set (mathematics)Collection of mathematical objectsTwo sets of polygons in Euler diagrams. The two sets are equal since they contain the same polygons (axiom of extensionality).In mathematics, a set is a collection of different things; the things are called elements or members of the set and are typically mathematical objects: numbers, symbols, points in space, lines, other geometric shapes, variables, functions, or even other sets.
Mathematical analysisMathematical analysis is the branch of mathematics that studies functions, spaces, and operators through methods of approximation and convergence. It grew out of calculus, especially the use of derivatives and integrals to study variable quantities, and in the 19th century its foundations were reformulated with greater rigor. Basic objects of study in mathematical analysis include the real numbers, functions, sequences, series, and limits.
Element of a setIn mathematics, an element (or member) of a set is any one of the distinctobjects that belong to that set. For example, given a set called A containing the first four positive integers(A={1,2,3,4}{\displaystyle A=\{1,2,3,4\}}), one could say that "3 is an element of A", expressed notationally as 3∈A{\displaystyle 3\in A}. SetsWriting A={1,2,3,4}{\displaystyle A=\{1,2,3,4\}} means that the elements of the set A are the numbers 1, 2, 3 and 4.
FinitenessFiniteness, finitude, or being finite, is the state of being limited or having an end, and is a counter to the concept of infinity. Humans are considered to be in this state because of their limited life span, uniformly ending in death. Each natural number is considered to be in this state, because counting up to that number stops when the number is reached.
Image (mathematics)Set of the values of a functionFor the function that maps a Person to their Favorite Food, the image of Gabriela is Apple. The preimage of Apple is the set {Gabriela, Maryam}. The preimage of Fish is the empty set. The image of the subset {Richard, Maryam} is {Rice, Apple}.
Mathematical objectA mathematical object is an abstract entity arising in mathematics. Typically, a mathematical object can be a value that can be assigned to a symbol, and therefore can be involved in formulas. Commonly encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex; for example, theorems, proofs, and even formal theories are considered as mathematical objects in proof theory.
ComputingComputing is any goal-oriented activity that requires, benefits from, or creates computing machinery. It includes the study and experimentation of algorithmic processes, and the development of both hardware and software. Computing encompasses scientific, engineering, mathematical, technological, and social aspects.
Computer scienceStudy of computationFundamental areas of computer scienceProgramming language theoryComputer architectureArtificial intelligenceComputational complexity theoryComputer science is the study of computation, information, and automation, together with their associated phenomena.
Parity (mathematics)In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. For example, −4, 0, and 82 are even numbers, while −7, 5, and 23 are odd numbers. The above definition of parity applies only to integer numbers. Hence it cannot be applied to numbers with fractions or decimals such as 1⁄2 or 7.2742.
Special:Search/sequenceRelated word or term.enumerateRelated word or term.collectionRelated word or term.*As an Amazon Associate I earn from qualifying purchases.