156 relations: A. H. Lightstone, Algebraic structure, Almost all, American Mathematical Monthly, April Fools' Day, Archimedean property, Axiom, Ayn Rand, Balanced ternary, Base (exponentiation), Battle.net, Bijection, Binary number, Birmingham, Blizzard Entertainment, Cancellation property, Cantor set, Cantor's diagonal argument, Cauchy sequence, Chicago Reader, Combinatorial game theory, Commutative property, Completeness (order theory), Complex analysis, Construction of the real numbers, Continuous function, Convergent series, Counterexample, Counterintuitive, Cut-the-Knot, Data compression, David Tall, Decimal, Decimal separator, Dedekind cut, Dense set, Disjoint sets, Division by zero, Eduard Heine, Educational Studies in Mathematics, Elementary proof, Elements of Algebra, Elwyn Berlekamp, Equivalence relation, Factorial number system, FAQ, Fermat number, Field (mathematics), Finite set, Finitism, ..., Fractal, Fractional part, General topology, Geometric series, Georg Cantor, Golden ratio base, Grammar school, Greatest common divisor, Group (mathematics), Hackenbush, Heuristic, Hyperinteger, Hyperreal number, Ian Stewart (mathematician), Ideal theory, IEEE 754, Infimum and supremum, Infinite set, Infinitesimal, Infinity, Informal mathematics, Integer, Internet, Internet forum, Intersection (set theory), Interval (mathematics), Intuitionism, Joseph Mazur, Komornik–Loreti constant, Leonhard Euler, Lexicographical order, Lightbulb joke, Limit (mathematics), Limit of a sequence, Mathematical Association of America, Mathematical joke, Mathematical proof, Mathematics, Mathematics education, Mathematics Magazine, Metamath, Microsoft Developer Network, Midy's theorem, Mixed radix, Modular arithmetic, Monoid, Monotonic function, Natural number, Nested intervals, Non-standard analysis, Non-standard positional numeral systems, Notices of the American Mathematical Society, Number, Number line, Number theory, Ones' complement, Order (group theory), Order theory, Ordinal number, P-adic number, Paradox, Partition of a set, Paul Erdős, Point at infinity, Positional notation, Prime number, Quadratic reciprocity, Radix, Radix point, Rational number, Real analysis, Real number, Repeating decimal, Richard Dedekind, Riemann sphere, Rigour, Ring (mathematics), Secondary school, Semigroup, Semiring, Sequence, Series (mathematics), Set theory, Sign (mathematics), Signed number representations, Signed zero, Slate (magazine), Stone space, String (computer science), Substring, Surreal number, Terence Tao, Ternary numeral system, The Straight Dope, Thue–Morse sequence, Timothy Gowers, Transfer principle, Transfinite number, Ultrafinitism, Ultraproduct, Uncountable set, Unit interval, Usenet newsgroup, Winning Ways for your Mathematical Plays, World of Warcraft, Zeno's paradoxes. Expand index (106 more) »

## A. H. Lightstone

Albert Harold Lightstone (1926–1976) was a Canadian mathematician.

New!!: 0.999... and A. H. Lightstone · See more »

## Algebraic structure

In mathematics, and more specifically in abstract algebra, an algebraic structure on a set A (called carrier set or underlying set) is a collection of finitary operations on A; the set A with this structure is also called an algebra.

New!!: 0.999... and Algebraic structure · See more »

## Almost all

In mathematics, the term "almost all" means "all but a negligible amount".

New!!: 0.999... and Almost all · See more »

## American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

New!!: 0.999... and American Mathematical Monthly · See more »

## April Fools' Day

April Fools' Day is an annual celebration in some European and Western countries commemorated on April 1 by playing practical jokes and spreading hoaxes.

New!!: 0.999... and April Fools' Day · See more »

## Archimedean property

In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields.

New!!: 0.999... and Archimedean property · See more »

## Axiom

An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

New!!: 0.999... and Axiom · See more »

## Ayn Rand

Ayn Rand (born Alisa Zinovyevna Rosenbaum; – March 6, 1982) was a Russian-American writer and philosopher.

New!!: 0.999... and Ayn Rand · See more »

## Balanced ternary

Balanced ternary is a non-standard positional numeral system (a balanced form), used in some early computers and useful in the solution of balance puzzles.

New!!: 0.999... and Balanced ternary · See more »

## Base (exponentiation)

In exponentiation, the base is the number b in an expression of the form bn.

New!!: 0.999... and Base (exponentiation) · See more »

## Battle.net

Blizzard Battle.net is an Internet-based online gaming, social networking, digital distribution, and digital rights management platform developed by Blizzard Entertainment.

New!!: 0.999... and Battle.net · See more »

## Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

New!!: 0.999... and Bijection · See more »

## Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

New!!: 0.999... and Binary number · See more »

## Birmingham

Birmingham is a city and metropolitan borough in the West Midlands, England, with an estimated population of 1,101,360, making it the second most populous city of England and the United Kingdom.

New!!: 0.999... and Birmingham · See more »

## Blizzard Entertainment

Blizzard Entertainment, Inc. is an American video game developer and publisher based in Irvine, California, and is a subsidiary of the American company Activision Blizzard.

New!!: 0.999... and Blizzard Entertainment · See more »

## Cancellation property

In mathematics, the notion of cancellative is a generalization of the notion of invertible.

New!!: 0.999... and Cancellation property · See more »

## Cantor set

In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.

New!!: 0.999... and Cantor set · See more »

## Cantor's diagonal argument

In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.

New!!: 0.999... and Cantor's diagonal argument · See more »

## Cauchy sequence

In mathematics, a Cauchy sequence, named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.

New!!: 0.999... and Cauchy sequence · See more »

## Chicago Reader

The Chicago Reader, or Reader (stylized as ЯEADER), is an American alternative weekly newspaper in Chicago, Illinois, noted for its literary style of journalism and coverage of the arts, particularly film and theater.

New!!: 0.999... and Chicago Reader · See more »

## Combinatorial game theory

Combinatorial game theory (CGT) is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information.

New!!: 0.999... and Combinatorial game theory · See more »

## Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

New!!: 0.999... and Commutative property · See more »

## Completeness (order theory)

In the mathematical area of order theory, completeness properties assert the existence of certain infima or suprema of a given partially ordered set (poset).

New!!: 0.999... and Completeness (order theory) · See more »

## Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

New!!: 0.999... and Complex analysis · See more »

## Construction of the real numbers

In mathematics, there are several ways of defining the real number system as an ordered field.

New!!: 0.999... and Construction of the real numbers · See more »

## Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: 0.999... and Continuous function · See more »

## Convergent series

In mathematics, a series is the sum of the terms of an infinite sequence of numbers.

New!!: 0.999... and Convergent series · See more »

## Counterexample

In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule or law.

New!!: 0.999... and Counterexample · See more »

## Counterintuitive

A counterintuitive proposition is one that does not seem likely to be true when assessed using intuition, common sense, or gut feelings.

New!!: 0.999... and Counterintuitive · See more »

## Cut-the-Knot

Cut-the-knot is a free, advertisement-funded educational website maintained by Alexander Bogomolny and devoted to popular exposition of many topics in mathematics.

New!!: 0.999... and Cut-the-Knot · See more »

## Data compression

In signal processing, data compression, source coding, or bit-rate reduction involves encoding information using fewer bits than the original representation.

New!!: 0.999... and Data compression · See more »

## David Tall

David Orme Tall (born 15 May 1941) is Emeritus Professor in Mathematical Thinking at the University of Warwick.

New!!: 0.999... and David Tall · See more »

## Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.

New!!: 0.999... and Decimal · See more »

## Decimal separator

A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.

New!!: 0.999... and Decimal separator · See more »

## Dedekind cut

In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind, are а method of construction of the real numbers from the rational numbers.

New!!: 0.999... and Dedekind cut · See more »

## Dense set

In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or is a limit point of A, that is the closure of A is constituting the whole set X. Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).

New!!: 0.999... and Dense set · See more »

## Disjoint sets

In mathematics, two sets are said to be disjoint sets if they have no element in common.

New!!: 0.999... and Disjoint sets · See more »

## Division by zero

In mathematics, division by zero is division where the divisor (denominator) is zero.

New!!: 0.999... and Division by zero · See more »

## Eduard Heine

Heinrich Eduard Heine (16 March 1821, Berlin – October 1881, Halle) was a German mathematician.

New!!: 0.999... and Eduard Heine · See more »

## Educational Studies in Mathematics

Educational Studies in Mathematics is a peer-reviewed scientific journal within the field of mathematics education.

New!!: 0.999... and Educational Studies in Mathematics · See more »

## Elementary proof

In mathematics, an elementary proof is a mathematical proof that only uses basic techniques.

New!!: 0.999... and Elementary proof · See more »

## Elements of Algebra

Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler and originally published in 1770 in German.

New!!: 0.999... and Elements of Algebra · See more »

## Elwyn Berlekamp

Elwyn Ralph Berlekamp (born September 6, 1940) is an American mathematician.

New!!: 0.999... and Elwyn Berlekamp · See more »

## Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

New!!: 0.999... and Equivalence relation · See more »

## Factorial number system

In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations.

New!!: 0.999... and Factorial number system · See more »

## FAQ

Frequently asked questions (FAQ) or Questions and Answers (Q&A), are listed questions and answers, all supposed to be commonly asked in some context, and pertaining to a particular topic.

New!!: 0.999... and FAQ · See more »

## Fermat number

In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form where n is a nonnegative integer.

New!!: 0.999... and Fermat number · See more »

## Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

New!!: 0.999... and Field (mathematics) · See more »

## Finite set

In mathematics, a finite set is a set that has a finite number of elements.

New!!: 0.999... and Finite set · See more »

## Finitism

Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects.

New!!: 0.999... and Finitism · See more »

## Fractal

In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.

New!!: 0.999... and Fractal · See more »

## Fractional part

The fractional part or decimal part of a non‐negative real number x is the excess beyond that number's integer part.

New!!: 0.999... and Fractional part · See more »

## General topology

In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology.

New!!: 0.999... and General topology · See more »

## Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms.

New!!: 0.999... and Geometric series · See more »

## Georg Cantor

Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.

New!!: 0.999... and Georg Cantor · See more »

## Golden ratio base

Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number ≈ 1.61803399 symbolized by the Greek letter φ) as its base.

New!!: 0.999... and Golden ratio base · See more »

## Grammar school

A grammar school is one of several different types of school in the history of education in the United Kingdom and other English-speaking countries, originally a school teaching Latin, but more recently an academically-oriented secondary school, differentiated in recent years from less academic Secondary Modern Schools.

New!!: 0.999... and Grammar school · See more »

## Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

New!!: 0.999... and Greatest common divisor · See more »

## Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

New!!: 0.999... and Group (mathematics) · See more »

## Hackenbush

Hackenbush is a two-player game invented by mathematician John Horton Conway.

New!!: 0.999... and Hackenbush · See more »

## Heuristic

A heuristic technique (εὑρίσκω, "find" or "discover"), often called simply a heuristic, is any approach to problem solving, learning, or discovery that employs a practical method, not guaranteed to be optimal, perfect, logical, or rational, but instead sufficient for reaching an immediate goal.

New!!: 0.999... and Heuristic · See more »

## Hyperinteger

In non-standard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part.

New!!: 0.999... and Hyperinteger · See more »

## Hyperreal number

The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.

New!!: 0.999... and Hyperreal number · See more »

## Ian Stewart (mathematician)

Ian Nicholas Stewart (born 24 September 1945) is a British mathematician and a popular-science and science-fiction writer.

New!!: 0.999... and Ian Stewart (mathematician) · See more »

## Ideal theory

In mathematics, ideal theory is the theory of ideals in commutative rings; and is the precursor name for the contemporary subject of commutative algebra.

New!!: 0.999... and Ideal theory · See more »

## IEEE 754

The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE).

New!!: 0.999... and IEEE 754 · See more »

## Infimum and supremum

In mathematics, the infimum (abbreviated inf; plural infima) of a subset S of a partially ordered set T is the greatest element in T that is less than or equal to all elements of S, if such an element exists.

New!!: 0.999... and Infimum and supremum · See more »

## Infinite set

In set theory, an infinite set is a set that is not a finite set.

New!!: 0.999... and Infinite set · See more »

## Infinitesimal

In mathematics, infinitesimals are things so small that there is no way to measure them.

New!!: 0.999... and Infinitesimal · See more »

## Infinity

Infinity (symbol) is a concept describing something without any bound or larger than any natural number.

New!!: 0.999... and Infinity · See more »

## Informal mathematics

Informal mathematics, also called naïve mathematics, has historically been the predominant form of mathematics at most times and in most cultures, and is the subject of modern ethno-cultural studies of mathematics.

New!!: 0.999... and Informal mathematics · See more »

## Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

New!!: 0.999... and Integer · See more »

## Internet

The Internet is the global system of interconnected computer networks that use the Internet protocol suite (TCP/IP) to link devices worldwide.

New!!: 0.999... and Internet · See more »

## Internet forum

An Internet forum, or message board, is an online discussion site where people can hold conversations in the form of posted messages.

New!!: 0.999... and Internet forum · See more »

## Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

New!!: 0.999... and Intersection (set theory) · See more »

## Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

New!!: 0.999... and Interval (mathematics) · See more »

## Intuitionism

In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality.

New!!: 0.999... and Intuitionism · See more »

## Joseph Mazur

Joseph C. Mazur (born in the Bronx in 1942) is Professor Emeritus of Mathematics at Marlboro College, in Marlboro, Vermont.

New!!: 0.999... and Joseph Mazur · See more »

## Komornik–Loreti constant

The Komornik–Loreti constant is a mathematical constant that represents the smallest number for which there still exists a unique q-development.

New!!: 0.999... and Komornik–Loreti constant · See more »

## Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

New!!: 0.999... and Leonhard Euler · See more »

## Lexicographical order

In mathematics, the lexicographic or lexicographical order (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product) is a generalization of the way words are alphabetically ordered based on the alphabetical order of their component letters.

New!!: 0.999... and Lexicographical order · See more »

## Lightbulb joke

A lightbulb joke is a joke that asks how many people of a certain group are needed to change, replace, or screw in a light bulb.

New!!: 0.999... and Lightbulb joke · See more »

## Limit (mathematics)

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.

New!!: 0.999... and Limit (mathematics) · See more »

## Limit of a sequence

As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.

New!!: 0.999... and Limit of a sequence · See more »

## Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

New!!: 0.999... and Mathematical Association of America · See more »

## Mathematical joke

A mathematical joke is a form of humor which relies on aspects of mathematics or a stereotype of mathematicians to derive humor.

New!!: 0.999... and Mathematical joke · See more »

## Mathematical proof

In mathematics, a proof is an inferential argument for a mathematical statement.

New!!: 0.999... and Mathematical proof · See more »

## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

New!!: 0.999... and Mathematics · See more »

## Mathematics education

In contemporary education, mathematics education is the practice of teaching and learning mathematics, along with the associated scholarly research.

New!!: 0.999... and Mathematics education · See more »

## Mathematics Magazine

Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.

New!!: 0.999... and Mathematics Magazine · See more »

## Metamath

Metamath is a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems covering conventional results in logic, set theory, number theory, group theory, algebra, analysis, and topology, as well as topics in Hilbert spaces and quantum logic.

New!!: 0.999... and Metamath · See more »

## Microsoft Developer Network

Microsoft Developer Network (MSDN) is the portion of Microsoft responsible for managing the firm's relationship with developers and testers, such as hardware developers interested in the operating system (OS), and software developers developing on the various OS platforms or using the API or scripting languages of Microsoft's applications.

New!!: 0.999... and Microsoft Developer Network · See more »

## Midy's theorem

In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period.

New!!: 0.999... and Midy's theorem · See more »

## Mixed radix

Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position.

New!!: 0.999... and Mixed radix · See more »

## Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

New!!: 0.999... and Modular arithmetic · See more »

## Monoid

In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.

New!!: 0.999... and Monoid · See more »

## Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

New!!: 0.999... and Monotonic function · See more »

## Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

New!!: 0.999... and Natural number · See more »

## Nested intervals

In mathematics, a sequence of nested intervals is understood as a collection of sets of real numbers such that each set is an interval of the real line, for n.

New!!: 0.999... and Nested intervals · See more »

## Non-standard analysis

The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.

New!!: 0.999... and Non-standard analysis · See more »

## Non-standard positional numeral systems

Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply with the following description of standard positional systems: This article summarizes facts on some non-standard positional numeral systems.

New!!: 0.999... and Non-standard positional numeral systems · See more »

## Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

New!!: 0.999... and Notices of the American Mathematical Society · See more »

## Number

A number is a mathematical object used to count, measure and also label.

New!!: 0.999... and Number · See more »

## Number line

In basic mathematics, a number line is a picture of a graduated straight line that serves as abstraction for real numbers, denoted by \mathbb.

New!!: 0.999... and Number line · See more »

## Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

New!!: 0.999... and Number theory · See more »

## Ones' complement

The ones' complement of a binary number is defined as the value obtained by inverting all the bits in the binary representation of the number (swapping 0s for 1s and vice versa).

New!!: 0.999... and Ones' complement · See more »

## Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

New!!: 0.999... and Order (group theory) · See more »

## Order theory

Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.

New!!: 0.999... and Order theory · See more »

## Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.

New!!: 0.999... and Ordinal number · See more »

## P-adic number

In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.

New!!: 0.999... and P-adic number · See more »

## Paradox

A paradox is a statement that, despite apparently sound reasoning from true premises, leads to an apparently self-contradictory or logically unacceptable conclusion.

New!!: 0.999... and Paradox · See more »

## Partition of a set

In mathematics, a partition of a set is a grouping of the set's elements into non-empty subsets, in such a way that every element is included in one and only one of the subsets.

New!!: 0.999... and Partition of a set · See more »

## Paul Erdős

Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.

New!!: 0.999... and Paul Erdős · See more »

## Point at infinity

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

New!!: 0.999... and Point at infinity · See more »

## Positional notation

Positional notation or place-value notation is a method of representing or encoding numbers.

New!!: 0.999... and Positional notation · See more »

## Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

New!!: 0.999... and Prime number · See more »

## Quadratic reciprocity

In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers.

New!!: 0.999... and Quadratic reciprocity · See more »

## Radix

In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

New!!: 0.999... and Radix · See more »

## Radix point

In mathematics and computing, a radix point (or radix character) is the symbol used in numerical representations to separate the integer part of a number (to the left of the radix point) from its fractional part (to the right of the radix point).

New!!: 0.999... and Radix point · See more »

## Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

New!!: 0.999... and Rational number · See more »

## Real analysis

In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.

New!!: 0.999... and Real analysis · See more »

## Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

New!!: 0.999... and Real number · See more »

## Repeating decimal

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely-repeated portion is not zero.

New!!: 0.999... and Repeating decimal · See more »

## Richard Dedekind

Julius Wilhelm Richard Dedekind (6 October 1831 – 12 February 1916) was a German mathematician who made important contributions to abstract algebra (particularly ring theory), axiomatic foundation for the natural numbers, algebraic number theory and the definition of the real numbers.

New!!: 0.999... and Richard Dedekind · See more »

## Riemann sphere

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.

New!!: 0.999... and Riemann sphere · See more »

## Rigour

Rigour (British English) or rigor (American English; see spelling differences) describes a condition of stiffness or strictness.

New!!: 0.999... and Rigour · See more »

## Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

New!!: 0.999... and Ring (mathematics) · See more »

## Secondary school

A secondary school is both an organization that provides secondary education and the building where this takes place.

New!!: 0.999... and Secondary school · See more »

## Semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.

New!!: 0.999... and Semigroup · See more »

## Semiring

In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.

New!!: 0.999... and Semiring · See more »

## Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

New!!: 0.999... and Sequence · See more »

## Series (mathematics)

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

New!!: 0.999... and Series (mathematics) · See more »

## Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

New!!: 0.999... and Set theory · See more »

## Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

New!!: 0.999... and Sign (mathematics) · See more »

## Signed number representations

In computing, signed number representations are required to encode negative numbers in binary number systems.

New!!: 0.999... and Signed number representations · See more »

## Signed zero

Signed zero is zero with an associated sign.

New!!: 0.999... and Signed zero · See more »

## Slate (magazine)

Slate is an online magazine that covers current affairs, politics, and culture in the United States from a liberal perspective.

New!!: 0.999... and Slate (magazine) · See more »

## Stone space

In topology, and related areas of mathematics, a Stone space is a non-empty compact totally disconnected Hausdorff space.

New!!: 0.999... and Stone space · See more »

## String (computer science)

In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable.

New!!: 0.999... and String (computer science) · See more »

## Substring

A substring is a contiguous sequence of characters within a string.

New!!: 0.999... and Substring · See more »

## Surreal number

In mathematics, the surreal number system is a totally ordered proper class containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.

New!!: 0.999... and Surreal number · See more »

## Terence Tao

Terence Chi-Shen Tao (born 17 July 1975) is an Australian-American mathematician who has worked in various areas of mathematics.

New!!: 0.999... and Terence Tao · See more »

## Ternary numeral system

The ternary numeral system (also called base 3) has three as its base.

New!!: 0.999... and Ternary numeral system · See more »

## The Straight Dope

"The Straight Dope" was an online question-and-answer newspaper column published from 1973 to 2018 in the Chicago Reader and syndicated in eight newspapers in the United States.

New!!: 0.999... and The Straight Dope · See more »

## Thue–Morse sequence

In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained thus far.

New!!: 0.999... and Thue–Morse sequence · See more »

## Timothy Gowers

Sir William Timothy Gowers, (born 20 November 1963) is a British mathematician.

New!!: 0.999... and Timothy Gowers · See more »

## Transfer principle

In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure.

New!!: 0.999... and Transfer principle · See more »

## Transfinite number

Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.

New!!: 0.999... and Transfinite number · See more »

## Ultrafinitism

In the philosophy of mathematics, ultrafinitism, also known as ultraintuitionism, strict-finitism, actualism, and strong-finitism, is a form of finitism.

New!!: 0.999... and Ultrafinitism · See more »

## Ultraproduct

The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic.

New!!: 0.999... and Ultraproduct · See more »

## Uncountable set

In mathematics, an uncountable set (or uncountably infinite set) is an infinite set that contains too many elements to be countable.

New!!: 0.999... and Uncountable set · See more »

## Unit interval

In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.

New!!: 0.999... and Unit interval · See more »

## Usenet newsgroup

A Usenet newsgroup is a repository usually within the Usenet system, for messages posted from many users in different locations using Internet.

New!!: 0.999... and Usenet newsgroup · See more »

## Winning Ways for your Mathematical Plays

Winning Ways for your Mathematical Plays (Academic Press, 1982) by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games.

New!!: 0.999... and Winning Ways for your Mathematical Plays · See more »

## World of Warcraft

World of Warcraft (WoW) is a massively multiplayer online role-playing game (MMORPG) released in 2004 by Blizzard Entertainment.

New!!: 0.999... and World of Warcraft · See more »

## Zeno's paradoxes

Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (c. 490–430 BC) to support Parmenides' doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion.

New!!: 0.999... and Zeno's paradoxes · See more »

## Redirects here:

.(9), .9, .9 repeating, .9..., .9... = 1, .99..., .99... = 1, .999, .999 = 1, .999., .999.., .999..., .999... = 1, .999...=1, 0,(9), 0,9, 0,999..., 0.(9), 0.111... = 1 (binary), 0.9, 0.9 = 1, 0.9 equals 1, 0.9 recurring, 0.9 reocurring, 0.9 repeating, 0.9*, 0.9..., 0.9... = 1, 0.9... equals 1, 0.99 = 1, 0.99 equals 1, 0.99..., 0.99... = 1, 0.99... equals 1, 0.999, 0.999 = 1, 0.999 equals 1, 0.999., 0.999.., 0.999... = 1, 0.999... equals 1, 0.999...., 0.999...=1, 0.9999, 0.9999..., 0.9999... equals 1, 0.99999, 0.99999..., 0.999999, 0.9999999, 0.99999999, 0.999999999, 0.9999999999, 0.99999999999, 0.999999999999, 0.9999999999999, 0.99999999999999, 0.999999999999999, 0.9999999999999999, 0.99999999999999999, 0.999999999999999999, 0.9999999999999999999, 0.99999999999999999999, 0.999999999999999999999, 0.9999999999999999999999, 0.99999999999999999999999, 0.999999999999999999999999, 0.9999999999999999999999999, 0.99999999999999999999999999, 0.9999999999999999999999999999, 0.99999999999999999999999999999, 0.999999999999999999999999999999, 0.9999999999999999999999999999999, 0.99999999999999999999999999999999, 0.999…, 0.999… = 1, 0.999……, 0.99…, 0.9=1, 0.9̅, 0·9̅, 1 = .9 Repeating, 1 = 0.999..., 1 equals 0.999..., 1=.9, 1=0.999..., 9 repeating, Equality of 0.999... and 1, How 1=0.999..., Infinite series of nines, Multiple decimal representations, Point nine repeating, Proof that 0.9... = 1, Proof that 0.9... equals 1, Proof that 0.99... = 1, Proof that 0.99... equals 1, Proof that 0.999... =, Proof that 0.999... = 1, Proof that 0.999... does not equal 1, Proof that 0.999... equals 1, Proof that 0.999... equals one, Proof that 0.999...=1, Proof that 0.9999... equals 1, Proof that 0.999… equals 1, Proof that 1 equals 0.999..., Proofs that 0.999... equals 1, Zero point nine recurring.

## References

[1] https://en.wikipedia.org/wiki/0.999...