## Table of Contents

241 relations: +1, Absolute value, AD 1, Adrien-Marie Legendre, Aegean numerals, Akkadian language, Al-Andalus, Aleph, Algebra, Alkali metal, Almost surely, Ani (letter), Annals of Mathematics, Arabic, Arabic numerals, Arithmetic, Armenian numerals, Ascender (typography), Ashoka, Assamese language, Asymptotic analysis, Atomic number, Babylonian cuneiform numerals, Benford's law, Bengali language, Binary code, Boethius, Boolean data type, Brahmi numerals, British Sign Language, Cambridge University Press, Cardinal number, Category (mathematics), Category theory, Centered hexagonal number, Characteristic (algebra), Charles Jean de la Vallée Poussin, Chinese numerals, Church encoding, Circle group, Clay tablet, Complex number, Composite number, Computability theory, Computer, Counting, Counting rods, Cube (algebra), Cube root, Cuneiform, ... Expand index (191 more) »

## +1

A +1 (pronounced "plus one") is a person who accompanies someone to an event.

See 1 and +1

## Absolute value

In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign.

## AD 1

AD 1 (I) or 1 CE was a common year starting on Saturday or Sunday,Sources disagree regarding the starting day of Julian year Anno Domino I (see leap year error for further information).

See 1 and AD 1

## Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 9 January 1833) was a French mathematician who made numerous contributions to mathematics.

See 1 and Adrien-Marie Legendre

## Aegean numerals

Aegean numbers was an additive sign-value numeral system used by the Minoan and Mycenaean civilizations.

## Akkadian language

Akkadian (translit)John Huehnergard & Christopher Woods, "Akkadian and Eblaite", The Cambridge Encyclopedia of the World's Ancient Languages.

## Al-Andalus

Al-Andalus was the Muslim-ruled area of the Iberian Peninsula.

See 1 and Al-Andalus

## Aleph

Aleph (or alef or alif, transliterated ʾ) is the first letter of the Semitic abjads, including Phoenician ʾālep 𐤀, Hebrew ʾālef א, Aramaic ʾālap 𐡀, Syriac ʾālap̄ ܐ, Arabic ʾalif ا, and North Arabian 𐪑.

See 1 and Aleph

## Algebra

Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures.

See 1 and Algebra

## Alkali metal

|- ! colspan.

## Almost surely

In probability theory, an event is said to happen almost surely (sometimes abbreviated as a.s.) if it happens with probability 1 (with respect to the probability measure).

## Ani (letter)

Ani (asomtavruli, nuskhuri, mkhedruli ა, mtavruli Ა) is the 1st letter of the three Georgian scripts.

## Annals of Mathematics

The Annals of Mathematics is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study.

See 1 and Annals of Mathematics

## Arabic

Arabic (اَلْعَرَبِيَّةُ, or عَرَبِيّ, or) is a Central Semitic language of the Afroasiatic language family spoken primarily in the Arab world.

See 1 and Arabic

## Arabic numerals

The ten Arabic numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are the most commonly used symbols for writing numbers.

## Arithmetic

Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division.

See 1 and Arithmetic

## Armenian numerals

Armenian numerals form a historic numeral system created using the majuscules (uppercase letters) of the Armenian alphabet.

## Ascender (typography)

In typography and handwriting, an ascender is the portion of a minuscule letter in a Latin-derived alphabet that extends above the mean line of a font.

See 1 and Ascender (typography)

## Ashoka

Ashoka, also known as Asoka or Aśoka (– 232 BCE), and popularly known as Ashoka the Great, was Emperor of Magadha in the Indian subcontinent from until 232 BCE, and the third ruler from the Mauryan dynasty.

See 1 and Ashoka

## Assamese language

Assamese or Asamiya (অসমীয়া) is an Indo-Aryan language spoken mainly in the north-eastern Indian state of Assam, where it is an official language.

## Asymptotic analysis

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.

## Atomic number

The atomic number or nuclear charge number (symbol Z) of a chemical element is the charge number of an atomic nucleus.

## Babylonian cuneiform numerals

Babylonian cuneiform numerals, also used in Assyria and Chaldea, were written in cuneiform, using a wedge-tipped reed stylus to print a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record.

See 1 and Babylonian cuneiform numerals

## Benford's law

Benford's law, also known as the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation that in many real-life sets of numerical data, the leading digit is likely to be small.

## Bengali language

Bengali, also known by its endonym Bangla (বাংলা), is an Indo-Aryan language from the Indo-European language family native to the Bengal region of South Asia.

## Binary code

A binary code represents text, computer processor instructions, or any other data using a two-symbol system.

## Boethius

Anicius Manlius Severinus Boethius, commonly known simply as Boethius (Latin: Boetius; 480–524 AD), was a Roman senator, consul, magister officiorum, polymath, historian, and philosopher of the Early Middle Ages.

See 1 and Boethius

## Boolean data type

In computer science, the Boolean (sometimes shortened to Bool) is a data type that has one of two possible values (usually denoted true and false) which is intended to represent the two truth values of logic and Boolean algebra.

## Brahmi numerals

Brahmi numerals are a numeral system attested in the Indian subcontinent from the 3rd century BCE.

## British Sign Language

British Sign Language (BSL) is a sign language used in the United Kingdom and is the first or preferred language among the deaf community in the UK.

See 1 and British Sign Language

## Cambridge University Press

Cambridge University Press is the university press of the University of Cambridge.

See 1 and Cambridge University Press

## Cardinal number

In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.

## Category (mathematics)

In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows".

See 1 and Category (mathematics)

## Category theory

Category theory is a general theory of mathematical structures and their relations.

## Centered hexagonal number

In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice.

See 1 and Centered hexagonal number

## Characteristic (algebra)

In mathematics, the characteristic of a ring, often denoted, is defined to be the smallest positive number of copies of the ring's multiplicative identity that will sum to the additive identity.

See 1 and Characteristic (algebra)

## Charles Jean de la Vallée Poussin

Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin (14 August 1866 – 2 March 1962) was a Belgian mathematician.

See 1 and Charles Jean de la Vallée Poussin

## Chinese numerals

Chinese numerals are words and characters used to denote numbers in written Chinese.

## Church encoding

In mathematics, Church encoding is a means of representing data and operators in the lambda calculus.

## Circle group

In mathematics, the circle group, denoted by \mathbb T or, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers \mathbb T.

## Clay tablet

In the Ancient Near East, clay tablets (Akkadian 𒁾) were used as a writing medium, especially for writing in cuneiform, throughout the Bronze Age and well into the Iron Age.

## Complex number

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.

## Composite number

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

## Computability theory

Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.

See 1 and Computability theory

## Computer

A computer is a machine that can be programmed to automatically carry out sequences of arithmetic or logical operations (computation).

See 1 and Computer

## Counting

Counting is the process of determining the number of elements of a finite set of objects; that is, determining the size of a set.

See 1 and Counting

## Counting rods

Counting rods (筭) are small bars, typically 3–14 cm (1" to 6") long, that were used by mathematicians for calculation in ancient East Asia.

## Cube (algebra)

In arithmetic and algebra, the cube of a number is its third power, that is, the result of multiplying three instances of together. 1 and cube (algebra) are integers.

## Cube root

In mathematics, a cube root of a number is a number such that.

See 1 and Cube root

## Cuneiform

Cuneiform is a logo-syllabic writing system that was used to write several languages of the Ancient Near East.

See 1 and Cuneiform

## Data

In common usage, data is a collection of discrete or continuous values that convey information, describing the quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted formally.

See 1 and Data

## David R. Cheriton School of Computer Science

The David R. Cheriton School of Computer Science is a professional school within the Faculty of Mathematics at the University of Waterloo.

See 1 and David R. Cheriton School of Computer Science

## Decimal

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

See 1 and Decimal

## Devanagari

Devanagari (देवनागरी) is an Indic script used in the northern Indian subcontinent.

See 1 and Devanagari

## Dimensionless quantity

Dimensionless quantities, or quantities of dimension one, are quantities implicitly defined in a manner that prevents their aggregation into units of measurement.

See 1 and Dimensionless quantity

## Division (mathematics)

Division is one of the four basic operations of arithmetic.

See 1 and Division (mathematics)

## Divisor function

In mathematics, and specifically in number theory, a divisor function is an arithmetic function related to the divisors of an integer.

## Eastern Arabic numerals

The Eastern Arabic numerals, also called Indo-Arabic numerals, are the symbols used to represent numerical digits in conjunction with the Arabic alphabet in the countries of the Mashriq (the east of the Arab world), the Arabian Peninsula, and its variant in other countries that use the Persian numerals on the Iranian plateau and in Asia.

See 1 and Eastern Arabic numerals

## Eblaite language

Eblaite (also known as Eblan ISO 639-3), or Palaeosyrian, is an extinct East Semitic language used during the 3rd millennium BC in Northern Syria.

## Edicts of Ashoka

The Edicts of Ashoka are a collection of more than thirty inscriptions on the Pillars of Ashoka, as well as boulders and cave walls, attributed to Emperor Ashoka of the Maurya Empire who ruled most of the Indian subcontinent from 268 BCE to 232 BCE.

## Egyptian fraction

An Egyptian fraction is a finite sum of distinct unit fractions, such as \frac+\frac+\frac.

## Egyptian numerals

The system of ancient Egyptian numerals was used in Ancient Egypt from around 3000 BC until the early first millennium AD.

## Elsevier

Elsevier is a Dutch academic publishing company specializing in scientific, technical, and medical content.

See 1 and Elsevier

## Empty product

In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. 1 and empty product are 1 (number).

## English determiners

English determiners (also known as determinatives) are words – such as the, a, each, some, which, this, and numerals such as six – that are most commonly used with nouns to specify their referents.

## English nouns

English nouns form the largest category of words in English, both in the number of different words and how often they are used in typical texts.

## English pronouns

The English pronouns form a relatively small category of words in Modern English whose primary semantic function is that of a pro-form for a noun phrase.

## Entity

An entity is something that exists as itself.

See 1 and Entity

## Euler's totient function

In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.

See 1 and Euler's totient function

## Exponentiation

In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power.

## Factorial

In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &.

See 1 and Factorial

## Factorization

In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

## Fibonacci sequence

In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones.

## Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers.

## Field with one element

In mathematics, the field with one element is a suggestive name for an object that should behave similarly to a finite field with a single element, if such a field could exist. 1 and field with one element are 1 (number).

See 1 and Field with one element

## Figurate number

The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers).

## Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

## Fundamental theorem of arithmetic

In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors.

See 1 and Fundamental theorem of arithmetic

## Geʽez script

Geʽez (Gəʽəz) is a script used as an abugida (alphasyllabary) for several Afro-Asiatic and Nilo-Saharan languages of Ethiopia and Eritrea.

## Gender neutrality

Gender neutrality (adjective form: gender-neutral), also known as gender-neutralism or the gender neutrality movement, is the idea that policies, language, and other social institutions (social structures or gender roles) should avoid distinguishing roles according to people's sex or gender.

## Generating function

In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.

## Geometric series

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

## Georgian numerals

The Georgian numerals are the system of number names used in Georgian, a language spoken in the country of Georgia.

## Germanic languages

The Germanic languages are a branch of the Indo-European language family spoken natively by a population of about 515 million people mainly in Europe, North America, Oceania and Southern Africa.

## Giuseppe Peano

Giuseppe Peano (27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist.

## Grammatical number

In linguistics, grammatical number is a feature of nouns, pronouns, adjectives and verb agreement that expresses count distinctions (such as "one", "two" or "three or more").

## Greek numerals

Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters of the Greek alphabet.

## Group (mathematics)

In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

## Hebrew numerals

The system of Hebrew numerals is a quasi-decimal alphabetic numeral system using the letters of the Hebrew alphabet.

## Helium

Helium (from lit) is a chemical element; it has symbol He and atomic number 2.

See 1 and Helium

## Hindustani numerals

Like many Indo-Aryan languages, Hindustani (Hindi-Urdu) has a decimal numeral system that is contracted to the extent that nearly every number 1–99 is irregular, and needs to be memorized as a separate numeral.

## Hoefler Text

Hoefler Text is an old-style serif font by Jonathan Hoefler released by Apple Computer Inc.

## Hydrogen

Hydrogen is a chemical element; it has symbol H and atomic number 1.

See 1 and Hydrogen

## I

I, or i, is the ninth letter and the third vowel letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide.

See 1 and I

## Identity element

In mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied. 1 and identity element are 1 (number).

## Identity matrix

In linear algebra, the identity matrix of size n is the n\times n square matrix with ones on the main diagonal and zeros elsewhere. 1 and identity matrix are 1 (number).

## Initial and terminal objects

In category theory, a branch of mathematics, an initial object of a category is an object in such that for every object in, there exists precisely one morphism.

See 1 and Initial and terminal objects

## Institute for Advanced Study

The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey.

See 1 and Institute for Advanced Study

## Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers. 1 and integer are integers.

See 1 and Integer

## Integral

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.

See 1 and Integral

## Inverse function

In mathematics, the inverse function of a function (also called the inverse of) is a function that undoes the operation of.

## J

J, or j, is the tenth letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide.

See 1 and J

## Japanese numerals

The Japanese numerals are Numerals that are used in Japanese.

## Journal of Integer Sequences

The Journal of Integer Sequences is a peer-reviewed open-access academic journal in mathematics, specializing in research papers about integer sequences.

See 1 and Journal of Integer Sequences

## Kannada

Kannada (ಕನ್ನಡ), formerly also known as Canarese, is a Dravidian language spoken predominantly by the people of Karnataka in southwestern India, with minorities in all neighbouring states.

See 1 and Kannada

## Khmer numerals

Khmer numerals are the numerals used in the Khmer language.

## Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

## Legendre's constant

Legendre's constant is a mathematical constant occurring in a formula constructed by Adrien-Marie Legendre to approximate the behavior of the prime-counting function \pi(x). 1 and Legendre's constant are 1 (number) and integers.

## Length

Length is a measure of distance.

See 1 and Length

## Letter case

Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally majuscule) and smaller lowercase (or more formally minuscule) in the written representation of certain languages.

## Line segment

In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

## List of mathematical constants

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems.

See 1 and List of mathematical constants

## Logarithm

In mathematics, the logarithm is the inverse function to exponentiation.

See 1 and Logarithm

## Logic gate

A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.

See 1 and Logic gate

## Maghreb

The Maghreb (lit), also known as the Arab Maghreb (اَلْمَغْرِبُ الْعَرَبِيُّ) and Northwest Africa, is the western part of the Arab world.

See 1 and Maghreb

## Magnitude (mathematics)

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.

See 1 and Magnitude (mathematics)

## Malayalam

Malayalam is a Dravidian language spoken in the Indian state of Kerala and the union territories of Lakshadweep and Puducherry (Mahé district) by the Malayali people.

See 1 and Malayalam

## Mathematical Association of America

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

See 1 and Mathematical Association of America

## Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

See 1 and Matrix (mathematics)

## Matrix of ones

In mathematics, a matrix of ones or all-ones matrix has every entry equal to one. 1 and matrix of ones are 1 (number).

## Maya numerals

The Mayan numeral system was the system to represent numbers and calendar dates in the Maya civilization.

## Measurement

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.

## Meitei language

Meitei, also known as Manipuri, is a Tibeto-Burman language of northeast India.

## Metallic mean

The metallic mean (also metallic ratio, metallic constant, or noble means) of a natural number is a positive real number, denoted here S_n, that satisfies the following equivalent characterizations.

## Monogamy

Monogamy is a relationship of two individuals in which they form an exclusive intimate partnership.

See 1 and Monogamy

## Monoid

In abstract algebra, a branch of mathematics, a monoid is a set equipped with an associative binary operation and an identity element.

See 1 and Monoid

## Monopoly

A monopoly (from Greek label and label), as described by Irving Fisher, is a market with the "absence of competition", creating a situation where a specific person or enterprise is the only supplier of a particular thing. 1 and monopoly are 1 (number).

See 1 and Monopoly

## Monorail

A monorail is a railway in which the track consists of a single rail or beam.

See 1 and Monorail

## Morphism

In mathematics, a morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set to another set, and continuous functions between topological spaces.

See 1 and Morphism

## Morse code

Morse code is a telecommunications method which encodes text characters as standardized sequences of two different signal durations, called dots and dashes, or dits and dahs.

See 1 and Morse code

## Multiplication

Multiplication (often denoted by the cross symbol, by the mid-line dot operator, by juxtaposition, or, on computers, by an asterisk) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

## Multiplicative function

In number theory, a multiplicative function is an arithmetic function f(n) of a positive integer n with the property that f(1).

See 1 and Multiplicative function

## Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

See 1 and Multiplicative inverse

## Natural number

In mathematics, the natural numbers are the numbers 0, 1, 2, 3, etc., possibly excluding 0. 1 and natural number are integers.

## Neoplatonism

Neoplatonism is a version of Platonic philosophy that emerged in the 3rd century AD against the background of Hellenistic philosophy and religion.

## Nicomachus

Nicomachus of Gerasa (Νικόμαχος) was an Ancient Greek Neopythagorean philosopher from Gerasa, in the Roman province of Syria (now Jerash, Jordan).

See 1 and Nicomachus

## Norm (mathematics)

In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.

## Number

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

See 1 and Number

## Number One

Number One most commonly refers to.

See 1 and Number One

## Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.

## Numeral prefix

Numeral or number prefixes are prefixes derived from numerals or occasionally other numbers.

## Numerical digit

A numerical digit (often shortened to just digit) or numeral is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system.

## Old English

Old English (Englisċ or Ænglisc), or Anglo-Saxon, was the earliest recorded form of the English language, spoken in England and southern and eastern Scotland in the early Middle Ages.

## One (disambiguation)

One or 1 is the first natural number.

See 1 and One (disambiguation)

## One (pronoun)

One is an English language, gender-neutral, indefinite pronoun that means, roughly, "a person".

## Other (philosophy)

Other is a term used to define another person or people as separate from oneself.

## Oxford University Press

Oxford University Press (OUP) is the publishing house of the University of Oxford.

See 1 and Oxford University Press

## Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th-century Italian mathematician Giuseppe Peano.

## Pentagonal number

A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotationally symmetrical.

## Periodic table

The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns ("groups").

## Persian language

Persian, also known by its endonym Farsi (Fārsī|), is a Western Iranian language belonging to the Iranian branch of the Indo-Iranian subdivision of the Indo-European languages.

## Person

A person (people or persons, depending on context) is a being who has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility.

See 1 and Person

## Plotinus

Plotinus (Πλωτῖνος, Plōtînos; – 270 CE) was a Greek Platonist philosopher, born and raised in Roman Egypt.

See 1 and Plotinus

## Polygonal number

In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon.

## Positional notation

Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system).

## Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

## Prime-counting function

In mathematics, the prime-counting function is the function counting the number of prime numbers less than or equal to some real number.

See 1 and Prime-counting function

## Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

See 1 and Princeton University

## Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

See 1 and Princeton University Press

## Probability

Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur.

## Programming language

A programming language is a system of notation for writing computer programs.

See 1 and Programming language

## Proto-Indo-European root

The roots of the reconstructed Proto-Indo-European language (PIE) are basic parts of words to carry a lexical meaning, so-called morphemes.

See 1 and Proto-Indo-European root

## Radix

In a positional numeral system, the radix (radices) or base is the number of unique digits, including the digit zero, used to represent numbers.

See 1 and Radix

## Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

## Roman numerals

Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages.

## Root of unity

In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power. 1 and root of unity are 1 (number).

## Semitic languages

The Semitic languages are a branch of the Afroasiatic language family.

## Sequence

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

See 1 and Sequence

## Serif

In typography, a serif is a small line or stroke regularly attached to the end of a larger stroke in a letter or symbol within a particular font or family of fonts.

See 1 and Serif

## Set (mathematics)

In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

## Sexagesimal

Sexagesimal, also known as base 60, is a numeral system with sixty as its base.

## Sign (mathematics)

In mathematics, the sign of a real number is its property of being either positive, negative, or 0.

## Simply connected space

In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed into any other such path while preserving the two endpoints in question.

See 1 and Simply connected space

## Sindhi language

Sindhi (or सिन्धी) is an Indo-Aryan language spoken by about 30 million people in the Pakistani province of Sindh, where it has official status.

## Small caps

In typography, small caps (short for small capitals) are characters typeset with glyphs that resemble uppercase letters but reduced in height and weight close to the surrounding lowercase letters or text figures.

See 1 and Small caps

## Solo dance

A solo dance is a dance done by an individual dancing alone, as opposed to couples dancing together but independently of others dancing at the same time, if any, and as opposed to groups of people dancing simultaneously in a coordinated manner.

See 1 and Solo dance

## Sorani

Sorani Kurdish (rtl, Kurmancîy Xwarû), also known as Central Kurdish, is a Kurdish dialect or a language spoken in Iraq, mainly in Iraqi Kurdistan, as well as the provinces of Kurdistan, Kermanshah, and West Azerbaijan in western Iran.

See 1 and Sorani

## Springer Science+Business Media

Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

See 1 and Springer Science+Business Media

## Square (algebra)

In mathematics, a square is the result of multiplying a number by itself.

## Square root

In mathematics, a square root of a number is a number such that y^2.

## Square-integrable function

In mathematics, a square-integrable function, also called a quadratically integrable function or L^2 function or square-summable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite.

See 1 and Square-integrable function

## Successor function

In mathematics, the successor function or successor operation sends a natural number to the next one.

## Sumer

Sumer is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging during the Chalcolithic and early Bronze Ages between the sixth and fifth millennium BC.

See 1 and Sumer

## Swash (typography)

A swash is a typographical flourish, such as an exaggerated serif, terminal, tail, entry stroke, etc., on a glyph.

## Sylvester's sequence

In number theory, Sylvester's sequence is an integer sequence in which each term is the product of the previous terms, plus one.

See 1 and Sylvester's sequence

## Tally marks

Tally marks, also called hash marks, are a form of numeral used for counting.

## Tamagawa number

In mathematics, the Tamagawa number \tau(G) of a semisimple algebraic group defined over a global field is the measure of G(\mathbb)/G(k), where \mathbb is the adele ring of.

## Tamil language

Tamil (தமிழ்) is a Dravidian language natively spoken by the Tamil people of South Asia.

## Telugu language

Telugu (తెలుగు|) is a Dravidian language native to the Indian states of Andhra Pradesh and Telangana, where it is also the official language.

## Text figures

Text figures (also known as non-lining, lowercase, old style, ranging, hanging, medieval, billing, or antique figures or numerals) are numerals designed with varying heights in a fashion that resembles a typical line of running text, hence the name.

## Thai numerals

Thai numerals (เลขไทย) are a set of numerals traditionally used in Thailand, although the Arabic numerals are more common due to extensive westernization of Thailand in the modern Rattanakosin period.

## The American Mathematical Monthly

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

See 1 and The American Mathematical Monthly

## Transactions of the American Mathematical Society

The Transactions of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.

See 1 and Transactions of the American Mathematical Society

## Transistor

A transistor is a semiconductor device used to amplify or switch electrical signals and power.

See 1 and Transistor

## Triangular number

A triangular number or triangle number counts objects arranged in an equilateral triangle.

## Typeface

A typeface (or font family) is a design of letters, numbers and other symbols, to be used in printing or for electronic display.

See 1 and Typeface

## Typewriter

A typewriter is a mechanical or electromechanical machine for typing characters.

See 1 and Typewriter

## Unary numeral system

The unary numeral system is the simplest numeral system to represent natural numbers: to represent a number N, a symbol representing 1 is repeated N times. 1 and unary numeral system are 1 (number).

See 1 and Unary numeral system

## Undergraduate Texts in Mathematics

Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.

See 1 and Undergraduate Texts in Mathematics

## Unicorn

The unicorn is a legendary creature that has been described since antiquity as a beast with a single large, pointed, spiraling horn projecting from its forehead.

See 1 and Unicorn

## Unicycle

A unicycle is a vehicle that touches the ground with only one wheel.

See 1 and Unicycle

## Unit (ring theory)

In algebra, a unit or invertible element of a ring is an invertible element for the multiplication of the ring. 1 and unit (ring theory) are 1 (number).

## Unit fraction

A unit fraction is a positive fraction with one as its numerator, 1/. 1 and unit fraction are 1 (number) and integers.

## 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. 1 and unit interval are 1 (number).

## Unit of measurement

A unit of measurement, or unit of measure, is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

## Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. 1 and unit vector are 1 (number).

## Universe

The universe is all of space and time and their contents.

See 1 and Universe

## University of Waterloo

The University of Waterloo (UWaterloo, UW, or Waterloo) is a public research university with a main campus in Waterloo, Ontario, Canada.

See 1 and University of Waterloo

## Vector space

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.

## Von Neumann cardinal assignment

The von Neumann cardinal assignment is a cardinal assignment that uses ordinal numbers.

See 1 and Von Neumann cardinal assignment

## W. W. Norton & Company

W.

See 1 and W. W. Norton & Company

## X-height

alt.

See 1 and X-height

## 0

0 (zero) is a number representing an empty quantity. 1 and 0 are integers.

See 1 and 0

## 0.999...

In mathematics, 0.999... (also written as 0., 0., or 0.(9)) denotes the smallest number greater than every number in the sequence. 1 and 0.999... are 1 (number).

See 1 and 0.999...

## 10

10 (ten) is the even natural number following 9 and preceding 11. 1 and 10 are integers.

See 1 and 10

## 100

100 or one hundred (Roman numeral: C) is the natural number following 99 and preceding 101. 1 and 100 are integers.

See 1 and 100

## 1000 (number)

1000 or one thousand is the natural number following 999 and preceding 1001. 1 and 1000 (number) are integers.

## 11 (number)

11 (eleven) is the natural number following 10 and preceding 12. 1 and 11 (number) are integers.

## 12 (number)

12 (twelve) is the natural number following 11 and preceding 13. 1 and 12 (number) are integers.

## 13 (number)

13 (thirteen) is the natural number following 12 and preceding 14. 1 and 13 (number) are integers.

## 14 (number)

14 (fourteen) is the natural number following 13 and preceding 15. 1 and 14 (number) are integers.

## 15 (number)

15 (fifteen) is the natural number following 14 and preceding 16. 1 and 15 (number) are integers.

## 16 (number)

16 (sixteen) is the natural number following 15 and preceding 17. 1 and 16 (number) are integers.

## 17 (number)

17 (seventeen) is the natural number following 16 and preceding 18. 1 and 17 (number) are integers.

## 18 (number)

18 (eighteen) is the natural number following 17 and preceding 19. 1 and 18 (number) are integers.

## 19 (number)

19 (nineteen) is the natural number following 18 and preceding 20. 1 and 19 (number) are integers.

## 2

2 (two) is a number, numeral and digit. 1 and 2 are integers.

See 1 and 2

## 20 (number)

20 (twenty; Roman numeral XX) is the natural number following 19 and preceding 21. 1 and 20 (number) are integers.

## 21 (number)

21 (twenty-one) is the natural number following 20 and preceding 22. 1 and 21 (number) are integers.

## 22 (number)

22 (twenty-two) is the natural number following 21 and preceding 23. 1 and 22 (number) are integers.

## 23 (number)

23 (twenty-three) is the natural number following 22 and preceding 24. 1 and 23 (number) are integers.

## 24 (number)

24 (twenty-four) is the natural number following 23 and preceding 25. 1 and 24 (number) are integers.

## 25 (number)

25 (twenty-five) is the natural number following 24 and preceding 26. 1 and 25 (number) are integers.

## 3

3 (three) is a number, numeral and digit. 1 and 3 are integers.

See 1 and 3

## 4

4 (four) is a number, numeral and digit. 1 and 4 are integers.

See 1 and 4

## 5

5 (five) is a number, numeral and digit. 1 and 5 are integers.

See 1 and 5

## 50 (number)

50 (fifty) is the natural number following 49 and preceding 51. 1 and 50 (number) are integers.

## 6

6 (six) is the natural number following 5 and preceding 7. 1 and 6 are integers.

See 1 and 6

## 7

7 (seven) is the natural number following 6 and preceding 8. 1 and 7 are integers.

See 1 and 7

## 8

8 (eight) is the natural number following 7 and preceding 9. 1 and 8 are integers.

See 1 and 8

## 9

9 (nine) is the natural number following and preceding. 1 and 9 are integers.

See 1 and 9

## References

Also known as 1 (glyph), 1 (number), 1 (numeral), 1 (the number), 1 B0, 1 E0, 1**0, 1**1, 1**10, 1**2, 1**3, 1**4, 1**5, 1**6, 1**7, 1**8, 1**9, 10**0, 1000**0, 1000^0, 1000⁰, 100^0, 1024**0, 1024^0, 1024⁰, 10^0, 10⁰, 1B0, 1^0, 1^1, 1^10, 1^2, 1^3, 1^4, 1^5, 1^6, 1^7, 1^8, 1^9, 1², 1¹⁰, 1×10^0, 1×2^0, 2**0, 2^0, 2⁰, ASCII 49, Firstly, NO.1, No 1, Number one, Number-one, Numberone, Nº 1, Once (adverb), One, One (1), One (number), The number one, U+0031, Unit (number), Unit number, Unity (mathematics), Unity (number), \x31, , ¹.

, Data, David R. Cheriton School of Computer Science, Decimal, Devanagari, Dimensionless quantity, Division (mathematics), Divisor function, Eastern Arabic numerals, Eblaite language, Edicts of Ashoka, Egyptian fraction, Egyptian numerals, Elsevier, Empty product, English determiners, English nouns, English pronouns, Entity, Euler's totient function, Exponentiation, Factorial, Factorization, Fibonacci sequence, Field (mathematics), Field with one element, Figurate number, Finite field, Fundamental theorem of arithmetic, Geʽez script, Gender neutrality, Generating function, Geometric series, Georgian numerals, Germanic languages, Giuseppe Peano, Grammatical number, Greek numerals, Group (mathematics), Hebrew numerals, Helium, Hindustani numerals, Hoefler Text, Hydrogen, I, Identity element, Identity matrix, Initial and terminal objects, Institute for Advanced Study, Integer, Integral, Inverse function, J, Japanese numerals, Journal of Integer Sequences, Kannada, Khmer numerals, Lambda calculus, Legendre's constant, Length, Letter case, Line segment, List of mathematical constants, Logarithm, Logic gate, Maghreb, Magnitude (mathematics), Malayalam, Mathematical Association of America, Matrix (mathematics), Matrix of ones, Maya numerals, Measurement, Meitei language, Metallic mean, Monogamy, Monoid, Monopoly, Monorail, Morphism, Morse code, Multiplication, Multiplicative function, Multiplicative inverse, Natural number, Neoplatonism, Nicomachus, Norm (mathematics), Number, Number One, Number theory, Numeral prefix, Numerical digit, Old English, One (disambiguation), One (pronoun), Other (philosophy), Oxford University Press, Peano axioms, Pentagonal number, Periodic table, Persian language, Person, Plotinus, Polygonal number, Positional notation, Prime number, Prime-counting function, Princeton University, Princeton University Press, Probability, Programming language, Proto-Indo-European root, Radix, Real number, Roman numerals, Root of unity, Semitic languages, Sequence, Serif, Set (mathematics), Sexagesimal, Sign (mathematics), Simply connected space, Sindhi language, Small caps, Solo dance, Sorani, Springer Science+Business Media, Square (algebra), Square root, Square-integrable function, Successor function, Sumer, Swash (typography), Sylvester's sequence, Tally marks, Tamagawa number, Tamil language, Telugu language, Text figures, Thai numerals, The American Mathematical Monthly, Transactions of the American Mathematical Society, Transistor, Triangular number, Typeface, Typewriter, Unary numeral system, Undergraduate Texts in Mathematics, Unicorn, Unicycle, Unit (ring theory), Unit fraction, Unit interval, Unit of measurement, Unit vector, Universe, University of Waterloo, Vector space, Von Neumann cardinal assignment, W. W. Norton & Company, X-height, 0, 0.999..., 10, 100, 1000 (number), 11 (number), 12 (number), 13 (number), 14 (number), 15 (number), 16 (number), 17 (number), 18 (number), 19 (number), 2, 20 (number), 21 (number), 22 (number), 23 (number), 24 (number), 25 (number), 3, 4, 5, 50 (number), 6, 7, 8, 9.