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  • ...would not in fact be fundamental). Rather, a fundamental concept such as ''number'' can only be explained by demonstration. Such an approach relies for its e There are [[philosophy|philosophical]] problems bound up with the concept of number. First, there is the [[Ontology|ontological]] problem of the various types
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  • ...visors of 6 are 1, 2, and 3, and 1+2+3=6. In contrast, 4 is not a perfect number, as the proper divisors of 4 are 1 and 2, and <math> \scriptstyle 1+2 \neq The origin of the term "perfect number" appears to be unknown. Ancient Greeks probably ascribed mystical properti
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  • ...ers''' is strongly related to the sequence of [[Fibonacci number]]s. Lucas number and Fibonacci numbers have the identical formula <math>a_n = a_{n-1} + a_{n *If <math>p\ </math> is a prime number, than <math>p\ </math> divides <math>L_p - 1\ </math>. The converse is fals
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  • #REDIRECT [[Erdős number]]
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  • ...ventionally denoted by ''Z'' and is by definition a non-negative [[natural number]]. For instance, the element [[carbon]] is characterized by ''Z'' = 6 and t ...e chemical and physical properties of an atom are solely determined by the number of its electrons and hence by its nuclear charge: the nuclear charge is a u
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  • ...is an infinite [[cardinal number|cardinal]] or [[ordinal number|ordinal]] number. (However, often simply '''infinite''' (cardinal or ordinal) '''number''' is used instead.)
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  • #Redirect [[Number theory]]
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  • #Redirect [[Perfect number]]
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  • ...bjects into a given number of structures. There are two kinds of Stirling number,depending on the nature of the structure being counted. The Stirling number of the first kind ''S''(''n'',''k'') counts the number of ways ''n'' labelled objects can be arranged into ''k'' cycles: cycles ar
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  • The '''imaginary numbers''' are a part of the [[complex number]]s. Every complex number can be written as
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  • ...only one word. In a verb, the classification of a word form by grammatical number is know as the [[case (grammar)|case]] of the verb. For example, the verb ' ==Subject noun and verb number agreement==
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  • #REDIRECT [[grammatical number]]
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  • A '''triangular number''' represents the number of [[circle|circles]] you can arrange to a [[equilateral triangle]]. The ''triangular number'' is related to many other figurated numbers:
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  • ...ot even clear whether such an object exists and can be reasonably called a number; for example, can we sensibly associate with <math>i</math> natural operati ...mplex numbers when solving [[quadratic equation]]s, which can have complex number solutions. This presentation is historically misleading — the quadratic
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  • #REDIRECT [[Avogadro's number]]
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  • ...ntly, it is not a root of any polynomial whose coefficients are [[rational number|rational]]. Transcendental numbers are necessarily [[irrational number|irrational]], but there are many irrational numbers that are not transcende
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  • #Redirect [[Perrin number]]
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  • #Redirect [[Prime number]]
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  • In [[mathematics]], a '''normal number''' is a [[real number]] whose [[decimal expansion]] shows an equal proportion of each of the poss
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  • ...full rectangle more than one square wide with 11 squares, so 11 is a prime number.]] A '''prime number''' is a [[integer|whole number]] greater than 1 that can be evenly divided by only two different positive
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  • #REDIRECT [[Complex number]]
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  • ...oving elements from the first, but there is no obvious way of assigning a “number” to each of the sets which would indicate that the second is “smaller� ...always be well ordered, and |''X''| can be defined as the least [[ordinal number|ordinal]] that is the order type of some [[well ordering]] of ''X''; this i
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  • ...s identified with points on an infinitely long gapless straight line. The number zero is one such point; positive numbers are to its right and negative numb ...ly imaginary number, i.e., the [[product (mathematics)|product]] of a real number and <math>i</math> ).
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  • #Redirect [[Triangular number]]
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  • The '''natural numbers''' are the [[number]]s (0), 1,2,3,etc. used for counting, They are also used to indicate the number of equal parts
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  • #REDIRECT [[Random number generator]]
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  • ...tp://books.google.com/books?id=wqg4AAAAMAAJ&printsec=frontcover&dq=intitle:number+intitle:concept+inauthor:levi&lr=&num=30&as_brr=1 online edition]
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  • ...itten as the [[vulgar fraction]] <math>a/b</math>, where ''b'' is not [[0 (number)|zero]]. ...[divisor]]s except 1 (i.e., they are [[coprime]]). Every non-zero rational number has exactly one simplest form of this type with a positive denominator. A f
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  • ...- a\ </math> for every integer <math>\scriptstyle a\ </math>. A Carmichael number ''c'' also satisfies the [[modular arithmetic|congruence]] <math>\scriptsty *Every Carmichael number is [[square-free integer|square-free]] and has at least three different pri
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  • ...[[real number]] and is the [[integer]] between [[1 (number)|1]] and [[-1 (number)|-1]], which signifies a value of nothing. It is also a [[numerical digit]] The number zero was invented twice - once in India and once in Mesoamerica. This inve
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  • #REDIRECT [[Atomic number]]
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  • '''Number theory''' is a branch of [[pure mathematics]] devoted primarily to the stud ([[diophantine geometry]]). Questions in number theory are often best understood through
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  • ...n which the first number is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers in the series. In mathemati *If <math>\ F_p\ </math>&nbsp; is a prime number different from 3, then <math>\ p</math>&nbsp; is prime. (The converse is fa
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  • ...is a [[complex number]] that is a root of a [[polynomial]] with [[rational number|rational]] coefficients. Real or complex numbers that are not algebraic are called [[transcendental number]]s.
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  • ...f the sequence of Perrin numbers is, that if <math>p\ </math> is a [[prime number]], then <math>p\ </math> divides <math>P_p\ </math>. The converse is false,
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  • ...ed by publication of joint papers &mdash; as a graph. A researcher's Erdős number is the length of the shortest path, via co-author relationships, connecting More explicitly, your Erdős number is the ''first'' number in the following list which applies to you:
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  • ...an '''irrational number''' is any [[real number]] that is not a [[rational number]], i.e. it cannot be expressed as a [[fraction]] ''m''&nbsp;/&nbsp;''n'' in ...ble to demonstrate that <math>\scriptstyle\sqrt{2}</math> is an irrational number.
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  • A composite number ''c'' such that ''a''<sup>''c''&minus;1</sup> &equiv; 1 (mod ''c'') for all
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  • #Redirect [[Prime Number Theorem]]
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  • ...n which the first number is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers.
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  • ...thor=Richard K. Guy|authorlink=Richard K. Guy|title=[[Unsolved Problems in Number Theory]]|publisher=[[Springer-Verlag]]|date=2004|isbn=0-387-20860-7}}
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  • * [[Paulo Ribenboim]]. The New Book of Prime Number Records. Springer-Verlag, 1996, ISBN 0-387-94457-5
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  • The number of [[proton]]s in the [[nucleus]] of a single [[atom]] of a chemical [[elem
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  • A real number whose digits in some particular base occur equally often in the long run.
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  • ...antly recognizable to students of [[art]] and [[art history]] as ''''Motif Number 1''''. ...ter [[Lester Hornby]] is believed to be the first to call the shack 'Motif Number 1', a reference to its being the favorite subject of the town's painters, a
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  • {{#lst:Unobtanium/Properties|Atomic number}}
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  • ...ite book | author=Alan Baker| authorlink=Alan Baker | title=Transcendental Number Theory | publisher=[[Cambridge University Press]] | year=1975 | isbn=0-521- ...William J. LeVeque | authorlink = William J. LeVeque | title = Topics in Number Theory, Volumes I and II | publisher = Dover Publications | location = New
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  • ...ial division method]] provides an intuitive explanation. To test whether a number <math>n</math> is prime, you have to try whether it can be divided by all n ...[natural logarithm]] of <math>n</math>). The formal statement of the Prime Number Theorem is
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  • Represents the number of circles you can arrange to a equilateral triangle.
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  • A number that can be evenly divided by exactly two positive whole numbers, namely on
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  • ...ption of the [[electron|electronic structure]] of [[atom]]s. The [[quantum number]] first arose in the [[Niels Bohr|Bohr]]-[[Arnold Sommerfeld|Sommerfeld]] t ...electron) atom moves in [[Ellipse|elliptic]] orbits. The principal quantum number appears in this theory at two places: in the energy ''E''<sub>''n''</sub> o
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  • ...e [[cubic equation|cubic equations]]. Even for equations with three [[real number|real]] solutions, the method they used sometimes required calculations wit ...tion <math>y(4-y) = 125</math>. Getting rid of the brackets and moving the number 125 to the left-hand side gives us the [[quadratic equation]]
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  • A number which is not algebraic: that is, does not satisfy any polynomial with integ
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  • ...ly the best uncorrelated physical random sequences will do. See [[#Random number/related articles| related articles]] for examples of applications. ...put numbered balls in a bowl, having a blindfolded person take it out, the number recorded, the ball returned to the bowl, and the bowl shaken thoroughly bef
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  • ...authorlink=Peter Borwein | title=Computational Excursions in Analysis and Number Theory | series=CMS Books in Mathematics | publisher=[[Springer-Verlag]] | ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | pub
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  • ...<math> \sigma(n) </math> is the sum of the divisors of <math>n</math>. A number <math>n</math> is perfect precisely when Euclid showed that every number of the form
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  • ...form ''a+bi'', where ''a'' and ''b'' are real numbers and ''i'' denotes a number satisfying <math>i^2=-1</math>.
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  • An infinite number, either a cardinal number or an ordinal number.
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  • A number that can be expressed as a ratio of two integers.
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  • A complex number that is a root of a polynomial with rational coefficients.
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  • Created [[Complex number/Draft]] [[User:David Tribe|David Tribe]] 19:30, 6 May 2007 (CDT)
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  • ...s a negative real number, or (sometimes) more generally a non-real complex number.
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  • A real number and is the integer between 1 and -1, which signifies a value of nothing.
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  • A. Weil, Number theory. An approach through history. From Hammurapi to Legendre. Birkhäuse
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  • #REDIRECT [[Darmstadtium/Atomic number]]
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  • ...t. An algebraic number must be a root of a [[polynomial]] with [[rational number|rational]] coefficients. Real or complex numbers that are not algebraic are called [[transcendental number]]s.
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  • ...System|DNS]] by using an indirect lookup method, using the Enum telephone number as a key to obtain [[NAPTR]] records. The records are stored at a [[Domain ...oach is the Electronic Number Mapping System ENUM (also known as Telephone Number Mapping), deve­lop­­ed by the [[IETF]], using existing [[E.164]] telepho
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  • ...arithmetic structure of a number field has applications in other areas of number theory, such as the resulotion of [[Diophantine equations]]s. ...'Q''' of [[rational number]]s. The elements of ''K'' are thus [[algebraic number]]s. Let ''n'' = [''K'':'''Q'''] be the degree of the extension.
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  • Creating [[Prime number/Draft]] [[User:David Tribe|David Tribe]] 20:04, 6 May 2007 (CDT)
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  • #REDIRECT [[Mercury (element)/Atomic number]]
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  • A real number that cannot be expressed as a fraction, m / n, in which m and n are integer
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  • |title = Introduction to Analytic Number Theory
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  • #REDIRECT [[Random number generator]]
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  • #REDIRECT [[Hahnium/Atomic number]]
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  • ...tes of America]] which supports research and conferences in the field of [[number theory]].
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  • #REDIRECT [[Random number generator/Definition]]
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  • {{r|Prime number}} {{r|Whole number}}
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  • A positive whole number whose proper divisors sum to the number itself.
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  • Auto-populated based on [[Special:WhatLinksHere/Normal number]]. Needs checking by a human.
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  • ...the United States which supports research and conferences in the field of number theory.
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  • ...ot even clear whether such an object exists and can be reasonably called a number; for example, can we sensibly associate with <math>i</math> natural operati ...e [[cubic equation|cubic equations]]. Even for equations with three [[real number|real]] solutions, the method they used sometimes required calculations wit
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  • {{r|Number theory}} {{r|Number}}
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  • #REDIRECT [[Random number generator/Related Articles]]
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  • Auto-populated based on [[Special:WhatLinksHere/Atomic number]]. Needs checking by a human.
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  • {{r|Prime Number Theorem}}
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  • ...alth care.<ref name="pmid9685274">{{cite journal |author=Rembold CM |title=Number needed to screen: development of a statistic for disease screening |journal :<math>\mbox{Number need to screen}=\left (\frac{100}{\mbox{Absolute risk reduction}}\right )</
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  • * [[Deficient number]] * [[Abundant number]]
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  • ...ein, Eric W. "[http://mathworld.wolfram.com/FibonacciNumber.html Fibonacci Number.]" From MathWorld--A Wolfram Web Resource.
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  • ...It is used to encode [[ramification]] data for [[abelian extension]]s of number field. Let ''K'' be an algebraic number field with ring of integers ''R''. A ''modulus'' is a formal product
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  • ...full rectangle more than one square wide with 11 squares, so 11 is a prime number.]] ...tself. The first few prime numbers are 2, 3, 5, 7, 11, 13, and 17. A prime number <math>p</math> cannot be factored as the [[multiplication|product]] of two
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Page text matches

  • * [[Deficient number]] * [[Abundant number]]
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  • *[[Fibonacci number]] *[[Lucas number]]
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  • {{r|Prime number}} {{r|Carmichael number||***}}
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  • {{r|Prime number}} {{r|Whole number}}
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  • An infinite number, either a cardinal number or an ordinal number.
    103 bytes (14 words) - 18:45, 20 June 2009
  • *[[Hyperreal number]] *[[Complex number]]
    389 bytes (39 words) - 12:37, 4 January 2009
  • ...t in [[number theory]] for its connection with the distribution of [[prime number]]s.
    219 bytes (27 words) - 16:59, 13 November 2008
  • ...equal to the number of "[[hole (topology)|holes]]" or "handles"; a [[Betti number]].
    189 bytes (26 words) - 14:02, 8 February 2010
  • ...s a negative real number, or (sometimes) more generally a non-real complex number.
    170 bytes (23 words) - 09:38, 1 January 2010
  • ...eometry)|vertices]] minus the number of [[Edge (geometry)|edge]]s plus the number of [[Face (geometry)|faces]]; it is always equal to 2 for [[convex polyhedr
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  • A positive whole number whose proper divisors sum to the number itself.
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  • ...|vacancies]] expressed as a percentage of the number of vacancies plus the number in [[employment]].
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  • Greater in size (number of elements, length, area, etc.) than any natural number
    117 bytes (16 words) - 00:12, 26 October 2009
  • ...ed transuranic elements whose atomic number are higher than 92, the atomic number of uranium.
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  • The number of its elements is a natural number (0,1,2,3,...)
    97 bytes (12 words) - 18:46, 6 July 2009
  • The number of its elements is larger than any natural number. (See: [[Finite set]].)
    121 bytes (17 words) - 19:09, 6 July 2009
  • ...n which the first number is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers.
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  • {{r|Number}} {{r|Real number}}
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  • {{r|Number theory}} {{r|Number}}
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  • Unestablished conjecture that every even number except the number 2 is the sum of two primes.
    130 bytes (18 words) - 08:14, 4 September 2009
  • ...tum number labeling atomic shells; usually denoted by the non-zero natural number ''n''.
    136 bytes (17 words) - 08:10, 18 September 2009
  • ...is an infinite [[cardinal number|cardinal]] or [[ordinal number|ordinal]] number. (However, often simply '''infinite''' (cardinal or ordinal) '''number''' is used instead.)
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  • ...limited) in size (length, area, etc., or number of elements) by a natural number
    129 bytes (19 words) - 23:57, 25 October 2009
  • The positive real number that, when multiplied by itself, gives the number 2.
    114 bytes (15 words) - 19:41, 4 September 2009
  • The number of positive integer divisors of a given number.
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  • ...dioactive]], and [[Uranium]] (atomic number 92), and [[Plutonium]] (atomic number 94) are significant in the production of [[nuclear energy]] and nuclear wea
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • A '''triangular number''' represents the number of [[circle|circles]] you can arrange to a [[equilateral triangle]]. The ''triangular number'' is related to many other figurated numbers:
    884 bytes (130 words) - 07:45, 24 January 2009
  • ...n A to the number of elements in B, and then subtracting from this sum the number of elements in the intersection of A and B.
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  • ...al element]], having the [[chemical symbol]] Ar and [[atomic number]] (the number of [[proton]]s) 18.
    165 bytes (21 words) - 17:51, 27 April 2011
  • ...l element]], having the [[chemical symbol]] Hg, and [[atomic number]] (the number of [[proton]]s) 80.
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  • Auto-populated based on [[Special:WhatLinksHere/Rational number]]. Needs checking by a human. {{r|Algebraic number field}}
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...e>*<br /><br />*The number in parenthesis () is the [[uncertainty]]. This number was taken from the [http://physics.nist.gov/PhysRefData/Compositions/index
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  • ...number field, used to encode ramification data for abelian extensions of a number field.
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  • ...element]] having the [[chemical symbol]] At and an [[atomic number]] (the number of [[proton]]s) of 85.
    170 bytes (23 words) - 19:03, 2 May 2011
  • ...t between a fixed number of raters when assigning categorical ratings to a number of items or classifying items.
    210 bytes (29 words) - 07:50, 4 September 2009
  • ...t. An algebraic number must be a root of a [[polynomial]] with [[rational number|rational]] coefficients. Real or complex numbers that are not algebraic are called [[transcendental number]]s.
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  • ...e set is an irrational number and any real number is the sum of a rational number and a member of the set.
    212 bytes (39 words) - 20:45, 4 September 2009
  • ...no axioms''' are a set of [[axiom]]s that formally describes the [[natural number]]s (0, 1, 2, 3 ...). ...all natural numbers can be reached by moving finitely often to the "next" number (obtained by adding 1).
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  • ...or molecule where the total number of electrons is not equal to the total number of protons, giving it a net positive or negative electrical charge.
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  • Auto-populated based on [[Special:WhatLinksHere/Algebraic number field]]. Needs checking by a human. {{r|Algebraic number}}
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  • In [[mathematics]], a '''normal number''' is a [[real number]] whose [[decimal expansion]] shows an equal proportion of each of the poss
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  • {{r|Algebraic number theory}} {{r|Algebraic number field}}
    297 bytes (38 words) - 11:43, 15 June 2009
  • ...'''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more generally a [[global field]] or [[local field]].
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  • ...nts the number of [[partition]]s of a positive integer ''n'', that is, the number of ways of expressing ''n'' as a sum of positive integers (where order is n Thus ''p''(3) = 3, since the number 3 has 3 partitions:
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  • ...ranch of algebraic number theory which studies the abelian extensions of a number field, or more generally a global or local field.
    171 bytes (26 words) - 17:18, 10 January 2013
  • {{r|Algebraic number}} {{r|Irrational number}}
    564 bytes (72 words) - 16:08, 11 January 2010
  • |Atomic number | {{#lst:Unobtanium/Properties|Atomic number}}
    663 bytes (81 words) - 14:22, 19 May 2010
  • ...of [[entropy]] such as [[device driver|device drivers]], or a pseudorandom number generator, in which the numbers are not truly random, but based on an algor
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  • ...onvenient category and revealing its publisher, title, edition, and volume number.
    304 bytes (41 words) - 19:33, 12 September 2009
  • ...a small number of blocks, then at least one block contains a rather large number of elements.
    198 bytes (32 words) - 10:48, 4 September 2009
  • {{r|Algebraic number field}} {{r|Algebraic number}}
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  • ...fers to a number field regarded as an extension of the field of [[rational number]]s. There need not be a conductor for an extension: indeed, [[class field ...is, an extension by roots of unity. The absolute conductor of an abelian number field ''F'' is then the smallest integer ''f'' such that ''F'' is a [[subfi
    1 KB (177 words) - 01:07, 18 February 2009
  • ...ntly, it is not a root of any polynomial whose coefficients are [[rational number|rational]]. Transcendental numbers are necessarily [[irrational number|irrational]], but there are many irrational numbers that are not transcende
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  • Suppose ''x''<sub>1</sub>, ''x''<sub>2</sub>, ... is a [[sequence]] of [[Real number|real numbers]]. We say that the real number ''L'' is the ''limit'' of this sequence and we write
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  • '''Zero''' is the name for a character, the digit '''0''', and for the [[number]] "zero". == The number zero ==
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  • A determinant which is defined for a finite number of functions of the same number of variables and in which each row consists of the first partial derivative
    256 bytes (42 words) - 20:18, 29 April 2009
  • ...ation of a population for a sufficient number of persons over a sufficient number of years to generate [[incidence]] or [[mortality]] rates subsequent to the
    263 bytes (36 words) - 17:46, 14 May 2010
  • .... The number of players in a game can vary from a single player to a large number of players (as in an online game). == Number of players ==
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  • {{r|Complex number}} {{r|Algebraic number theory}}
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  • {{r|0 (number)}} {{r|Algebraic number field}}
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  • {{r|Modulus (algebraic number theory)}} {{r|Modulus of a complex number}}
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  • ...tons]] and [[neutrons]] in it's [[nucleus]], and characterized by [[atomic number]] (Z), [[atomic mass|mass]], [[energy state]], [[mass defect]], and [[nucle
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  • ...evel metrics for a [[scientific journal|journal]] article, identifying the number of views of the [[full text]] or [[abstract]] and of PDF downloads as well ...mat|PDF]] or [[XML]]). Some [[reference manager]]s also allow to track the number of printouts or the time an article is displayed in an active window. All t
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  • ...eger, denoted σ(''n''), is the sum of all the positive [[divisor]]s of the number ''n''. ...e number itself. Hence a number ''n'' is perfect if σ(''n'') = 2''n''. A number is similarly defined to be ''abundant'' if σ(''n'') &gt; 2''n'' and ''defi
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  • * {{cite book | author=Tom M. Apostol | title=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher= ...e=Multiplicative number theory | series=Lectures in advanced mathematics | number=1 | publisher=Markham | location=[[Chicago, Illinois]] | year=1967 }}
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  • ...tes of America]] which supports research and conferences in the field of [[number theory]].
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  • ...sed to a power, <math>\scriptstyle x \times 10^y</math>. For example, the number 325,000,000 is expressed as <math>3.25 \times 10^8</math> (In computer pro ...ative, a minus sign is placed to the left of the number as a whole. If the number is between -1 and 1, the power of ten is negative, and a minus sign appears
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  • ...<sub>0</sub>(''n''), is the number of positive integer [[divisor]]s of the number ''n''.
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  • Auto-populated based on [[Special:WhatLinksHere/Number theory]]. Needs checking by a human. {{r|Algebraic number field}}
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  • {{r|Algebraic number field}} {{r|Complex number}}
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  • ...al element]], having the [[chemical symbol]] Sn and [[atomic number]] (the number of [[proton]]s) of 50, with a [[Atomic mass#Standard atomic weights of th
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  • ...only one word. In a verb, the classification of a word form by grammatical number is know as the [[case (grammar)|case]] of the verb. For example, the verb ' ==Subject noun and verb number agreement==
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  • ...ignated time. It is differentiated from [[incidence]], which refers to the number of new cases in the population at a given time.<noinclude>{{DefMeSH}}</noin
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  • ...Japanese]]. The first three rows of the first table show number of births, number of deaths and overall population change (-123,000).
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  • {{r|Fibonacci number}} {{r|Algebraic number}}
    566 bytes (73 words) - 16:56, 11 January 2010
  • ...ed by publication of joint papers &mdash; as a graph. A researcher's Erdős number is the length of the shortest path, via co-author relationships, connecting More explicitly, your Erdős number is the ''first'' number in the following list which applies to you:
    2 KB (370 words) - 12:51, 11 February 2013
  • ...utron) which cause another fission: (probability to crack a nucleus)*(mean number of neutrons produced by a single fission)
    276 bytes (41 words) - 21:45, 26 November 2012
  • ...sum of two elements of a given set, stating that the average order of this number cannot be close to being a [[linear function]]. ...natural numbers and ''r''(''n'') denote the number of ways that a natural number ''n'' can be expressed as the sum of two elements of ''A'' (taking order in
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  • Auto-populated based on [[Special:WhatLinksHere/Modulus (algebraic number theory)]]. Needs checking by a human. {{r|Algebraic number field}}
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  • ===The term planning refers to a number of different topics:=== ===A number of other topics also relate to the general topic of planning:===
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  • ...and which is [[unramified]] at all finite primes of ''K''. The '''genus number''' of ''K'' is the degree [''G'':''K''] and the '''genus group''' is the [[ ...te book | last=Ishida | first=Makoto | title=The genus fields of algebraic number fields | series=Lecture Notes in Mathematics | publisher=[[Springer Verlag]
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  • The '''imaginary numbers''' are a part of the [[complex number]]s. Every complex number can be written as
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  • ...ers''' is strongly related to the sequence of [[Fibonacci number]]s. Lucas number and Fibonacci numbers have the identical formula <math>a_n = a_{n-1} + a_{n *If <math>p\ </math> is a prime number, than <math>p\ </math> divides <math>L_p - 1\ </math>. The converse is fals
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  • #Redirect [[Perrin number]]
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    #REDIRECT [[0_(number)]]
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  • {{r|Complex number}} {{r|Real number}}
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  • {{r|Real number}} {{r|Natural number}}
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  • {{r|Natural number}} {{r|Real number}}
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  • ...d P. Erdős, ''On the number of sets of integers with various properties'', Number theory (Banff, 1988), de Gruyter, Berlin 1990, pp. 61–79.
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  • {{r|cardinal number}} {{r|ordinal number}}
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  • {{r|cardinal number}} {{r|natural number}}
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  • Auto-populated based on [[Special:WhatLinksHere/Conductor of a number field]]. Needs checking by a human. {{r|Algebraic number field}}
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  • ...ignated time. It is differentiated from [[incidence]], which refers to the number of new cases in the population at a given time." <ref>{{MeSH}}</ref>
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  • ...iated command line interface. They have been developed by the Algebra and Number Theory research group of the Institute of Mathematics at [[Technische Unive ...tool for computations in algebraic number fields | booktitle=Computational number theory | publisher=de Gruyter | year=1991 | isbn=3-11-012394-0 | pages=321-
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  • #redirect [[Number needed to treat]]
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  • {{#lst:Unobtanium/Properties|Atomic number}}
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  • ...math>p\ </math> is a prime number and <math>2\cdot p + 1</math> is a prime number too, then we call <math>p\ </math> a '''Sophie Germain prime'''. The Sophie
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  • ...öhlich | authorlink=Ali Fröhlich | coauthors=M.J. Taylor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | pub ...Ireland | coauthors=M. Rosen | title = A Classical Introduction to Modern Number Theory | publisher = Springer-Verlag | date = 1993 | location = New York,
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  • * {{Citation | last=Weiss | first=Edwin | title=Algebraic number theory | publisher=Chelsea Publishing | year=1976 | isbn=0-8284-0293-0}}. ...2=Taylor | first2=Martin | authorlink2= Martin J. Taylor | title=Algebraic number theory | publisher=[[Cambridge University Press]] | series=Cambridge Studie
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  • ...efined as the inverse of the attributable risk. Intuitively, the lower the number needed to harm, the worse the risk-factor. ...web |url=http://www.jr2.ox.ac.uk/bandolier/booth/glossary/NNH.html |title=Number needed to harm (NNH) |accessdate=2008-03-26 |format= |work=}}</ref>.
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  • ...//www.americanscientist.org/issues/pub/2007/2/an-exact-value-for-avogadros-number/1 Online] ...the number ''N''<sub>A</sub> to [[Amedeo Avogadro]]) speaks of "Avogadro's number", not of "the Avogadro constant". [http://nobelprize.org/nobel_prizes/phys
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  • {{r|P-adic number|''p''-adic number}}
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  • ...number of moles of a component substance in a mixture divided by the total number of moles of the mixture.
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  • {{r|Number theory}} {{r|Algebraic number}}
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  • #REDIRECT [[Discriminant of an algebraic number field]]
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  • ...ath>. Their study forms a part of the branch of [[mathematics]] known as [[number theory]].
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  • {{r|Algebraic number}} {{r|Complex number}}
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  • ...[[real number]] and is the [[integer]] between [[1 (number)|1]] and [[-1 (number)|-1]], which signifies a value of nothing. It is also a [[numerical digit]] The number zero was invented twice - once in India and once in Mesoamerica. This inve
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  • ...of [[integer]]s, [[rational number]]s, [[real number|real]] and [[complex number]]s. In this context commutativity is often referred to as the ''commutativ
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  • ...], '''partition''' refers to two related concepts, in [[set theory]] and [[number theory]]. ...ns of a finite set of size ''n'' into ''k'' parts is given by a [[Stirling number]] of the second kind;
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  • Periodic variation in the number of sunspots.
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  • ...er of [[mole]]s of a component substance in a mixture divided by the total number of moles of the mixture.<ref>{{cite book|author=N.A. Gokcen and R.G. Reddy| |align=left|= the number of moles of component <font style="vertical-align:-5%;"><math>\mathrm{a}</m
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  • ...arithmetic''' and the rules for manipulating [[odd number|odd]] and [[even number|even]] numbers, which are the arithmetics coming from the moduli 12 and 2 r ...ular arithmetic is of fundamental importance in [[abstract algebra]] and [[number theory]].
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  • {{r|Number theory}} {{r|Perfect number}}
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  • {{r|Grammatical number}} *[[Number (grammar)]]
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  • The largest positive natural number which divides evenly all numbers given.
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  • ...logy is one area that is currently growing. In addition, there are a large number of [[venture capital]] firms and other investors.
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  • ...ite book | author=Alan Baker| authorlink=Alan Baker | title=Transcendental Number Theory | publisher=[[Cambridge University Press]] | year=1975 | isbn=0-521- ...William J. LeVeque | authorlink = William J. LeVeque | title = Topics in Number Theory, Volumes I and II | publisher = Dover Publications | location = New
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  • {{r|Natural number}} {{r|Prime number}}
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  • ...' is a composite number that has certain properties in common with [[prime number]]s. ...st it for properties that all prime numbers share. One property of a prime number is that it is only divisible by one and itself. This is a defining property
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  • A chemical element with the symbol Cd and atomic number 48.
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  • A chemical element with the symbol O and atomic number 8.
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  • The maximal absolutely abelian unramified extension of a number field.
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  • Isomers having the same number of each isotopic atom but differing in their positions.
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  • Generalization of the Riemann zeta function to algebraic number fields.
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  • A group of electron orbitals that share the same principal quantum number (''n'').
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  • The number of elements in any basis for a vector space.
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  • Fourth most abundant chemical [[element]] in the Universe, with [[atomic number]] Z=6.
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  • A boolean function with even number of variables which is most distant from all linear functions.
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  • A set of [[axiom]]s that completely describes the [[natural number]]s.
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  • A computer algebra system for mathematicians interested in algebraic number theory.
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  • An attempt by a large number of investors to withdraw their deposits.
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  • An abnormally low number of circulating [[leukocyte]]s (i.e., white blood cells)
    116 bytes (16 words) - 14:53, 6 August 2010
  • ...braic structure with operations generalising the familiar concepts of real number arithmetic.
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  • Represents the number of circles you can arrange to a equilateral triangle.
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  • A number that can be evenly divided by exactly two positive whole numbers, namely on
    133 bytes (20 words) - 05:24, 8 July 2008
  • <noinclude>{{Subpages}}</noinclude>A conjecture about the number of prime factors in two numbers and their sum.
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  • A silvery-white metallic transition metal, with symbol Sc and atomic number 21.
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  • An algebraic number field generated over the rational numbers by roots of unity.
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  • Used in algebraic number theory; a modulus which determines the splitting of prime ideals.
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  • The number and production share of firms in a market (or industry).
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  • ...] page at allexperts.com</ref> The ballad [[Carrie (song)|Carrie]] reached number 3 on the [[Billboard Hot 100]] chart in the [[United States of America|USA]
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  • ...ase Ball Players]]. They referred to a player's average performance over a number of games, and were among the first baseball statistics ever reported and tr The basic statistic was presented as a whole number (the "average") and a remainder (the "over").
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  • ...<math> \sigma(n) </math> is the sum of the divisors of <math>n</math>. A number <math>n</math> is perfect precisely when Euclid showed that every number of the form
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  • In [[mathematics]], in the field of [[number theory]], the '''average order of an arithmetic function''' is some simpler Let ''f'' be a function on the [[natural number]]s. We say that the ''average order'' of ''f'' is ''g'' if
    2 KB (254 words) - 08:27, 19 December 2011
  • ...[magazine]]s are identified by the similar [[International Standard Serial Number]] (ISSN). #the ''item number'', and
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  • ...s an invariant attached to an [[field extension|extension]] of [[algebraic number field]]s which describes the geometric structure of the [[ring of integers] Let ''K'' be a number field of degree ''n'' over '''Q'''. Let ''O''<sub>''K''</sub> denote the [
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  • ...that are concealed in a pouch. Besides differing from bristletails in the number of tails and the concealment of the mouthparts, they have shallower bodies ...[[Thysanura]], or bristletails. They differ from true bristletails in the number of appendages at the tip of their abdomen, and their morphological origin.
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  • ...ein, Eric W. "[http://mathworld.wolfram.com/FibonacciNumber.html Fibonacci Number.]" From MathWorld--A Wolfram Web Resource.
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  • A number of non-relational distributed database architectures, usually that store da
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  • The distinction between ''bounded'' and ''unbounded'' in size (number of elements, length, area, etc.)
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  • The number of elements in an empty set, and a digit or symbol.
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  • Person whose expertise fills a significant number of subject areas, or who is very knowledgeable.
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  • The alphabet used for a number of languages, mostly Slavonic ones, including Russian, Bulgarian and Serbia
    144 bytes (19 words) - 09:31, 26 October 2009
  • ...omain is an [[open set]], usually in the [[real number|real]] or [[complex number]]s
    486 bytes (71 words) - 12:37, 31 May 2009
  • ...the atoms belonging to the species/type, each species/type having a unique number of nuclear protons; in another sense, refers to substances, or pieces of ma
    389 bytes (64 words) - 21:51, 2 September 2010
  • ...l element]], having the [[chemical symbol]] Xe. Its [[atomic number]] (the number of [[proton]]s) is 54. It has a [[Atomic mass#Standard atomic weights of th It forms a comparatively small number of compounds.
    852 bytes (137 words) - 09:17, 7 August 2023
  • ...number on a network to be detected, and to have an ostensibly valid serial number for obtaining updates.
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  • Unique number assigned to each PubMed citation of life sciences and biomedical scientific
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  • The metallic element that has atomic number 12 and belongs to alkaline earth metal group.
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  • Chemical element number 82, a corrosion-resistant, dense, ductile [[heavy metal]] known to cause ne
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  • ...in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]
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  • {{r|real number}} {{r|complex number}}
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  • In [[mathematics]], in the field of [[number theory]], the '''normal order of an arithmetic function''' is some simpler Let ''f'' be a function on the [[natural number]]s. We say that the ''normal order'' of ''f'' is ''g'' if for every &epsil
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  • In [[mathematics]], '''complex conjugation''' is an operation on [[complex number]]s which reverses the sign of the imaginary part, that is, it sends <math>z ...s. The complex numbers left fixed by conjugation are precisely the [[real number]]s.
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  • The number of entities (such as atoms, ions, or molecules) per mole; dimension mol<sup
    138 bytes (20 words) - 22:52, 25 October 2009
  • ...silvery white, highly reactive element which has the symbol Na and atomic number 11.
    129 bytes (18 words) - 04:46, 29 April 2009
  • A [[leukocyte]] (white blood cell), the number of which rise in inflammatory disorders and parasitic infections
    147 bytes (19 words) - 16:59, 15 October 2008
  • ...operation]]s, an element that has one of two properties analoguous to the number zero.
    136 bytes (20 words) - 19:29, 10 November 2009
  • Any prime number p such that 2p + 1 is also prime.
    87 bytes (13 words) - 19:31, 4 September 2009
  • ...ve integer]]s, usually with [[integer]], [[real number|real]] or [[complex number|complex]] values. ...or multiplicative structure of the integers are of particular interest in number theory.
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  • A composite number that passes a pseudoprimality test.
    91 bytes (11 words) - 19:50, 4 September 2009
  • 1.00794{{u|(7)}}<noinclude>*<br /><br />*The number in parenthesis () is the [[uncertainty]]</noinclude>
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  • The number of additive partitions of a positive integer.
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  • 87.62{{u|(1)}}<noinclude>*<br /><br />*The number in parenthesis () is the [[uncertainty]]</noinclude>
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  • 4.002602{{u|(2)}}<noinclude>*<br /><br />*The number in parenthesis () is the [[uncertainty]]</noinclude>
    105 bytes (12 words) - 15:29, 17 May 2010
  • 9.012182{{u|(3)}}<noinclude>*<br /><br />*The number in parenthesis () is the [[uncertainty]]</noinclude>
    105 bytes (12 words) - 15:34, 17 May 2010
  • {{r|Complex number}} {{r|Real number}}
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  • Abnormal decrease in the number of platelets in circulatory blood.
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  • The chemical element with the symbol Ca and atomic number 20.
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  • Absolute number of [[neutrophil]]s per cubic microliter of [[blood]]
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  • Auto-populated based on [[Special:WhatLinksHere/Number Theory Foundation]]. Needs checking by a human. {{r|Number theory}}
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  • ...es''' a number ''n'', if ''n'' is the product of ''d'' and another natural number ''k''. Every natural number ''n'' has two divisors, 1 and ''n'',
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  • ...matician who introduced [[set theory]] and the concept of [[transcendental number]]s
    150 bytes (17 words) - 13:07, 16 March 2011
  • ...in their isotopic composition, that has at least one atom with a different number of neutrons to the parent.
    172 bytes (26 words) - 20:40, 3 September 2009
  • ...pect to a given [[prime number]] ''p'', on the field '''Q''' of [[rational number]]s is a [[metric space|metric]] which is a [[valuation]] on the field. Every non-zero rational number may be written uniquely in the form <math>p^n.r/s</math> where ''r'' and ''
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  • A number that can be expressed as a ratio of two integers.
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  • ...nown telephone directory service, the user commonly requests the telephone number corresponding to a name. If there are multiple subscribers with the name "S ...there may be aliases for a number (e.g., local police department name, the number dialed to reach a [[public safety answering point]], such as 911 or 112.
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  • The number of integers less than or equal to and coprime to a given integer.
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  • A number that describes the degree of uncertainty or disorder the distribution repre
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  • ...n]] itself, with only one electron, having charge +(Z-1), where Z = atomic number.
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  • A real number whose digits in some particular base occur equally often in the long run.
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  • The number of CD4-positive T-lymphocytes per unit volume of blood.
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  • The number of individuals, and discrete tasks, that the average individual can manage
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  • #REDIRECT [[Complex number#Working with complex numbers]]
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  • #REDIRECT [[Complex number#Working with complex numbers]]
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  • ...ers in which all numbers having the same remainder when divided by a whole number are considered equivalent.
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  • Real or complex number, or an invariant under orthogonal/unitary transformation of reference fram
    136 bytes (17 words) - 11:40, 25 November 2009
  • Module in which every ascending sequence of submodules has only a finite number of distinct members.
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  • A halogen and chemical element that has the symbol I and atomic number 53.
    111 bytes (16 words) - 20:30, 3 September 2009
  • An algebraic number field for which the ring of integers is a polynomial ring.
    114 bytes (17 words) - 17:08, 28 October 2008
  • An invariant attached to an extension of algebraic number fields which encodes ramification data.
    133 bytes (17 words) - 17:23, 20 November 2008
  • {{r|Perrin number}} {{r|Prime number}}
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  • A hard, lustrous, grey metal, a chemical element with symbol Co and atomic number 27.
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  • A yellowish crystalline chemical element with the symbol S and the atomic number of 16.
    123 bytes (17 words) - 09:51, 6 March 2024
  • A number quantifying the tendency of a molecular complex to dissociate into its sepa
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  • Refers to the number of chromosomes that represent a complete set in a biological cell.
    123 bytes (18 words) - 15:25, 17 March 2010
  • ...thin mathematics that study discrete objects: combinatorics, graph theory, number theory, mathematical logic, …
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  • Any of a number of academic disciplines which study human social behavior, institutions and
    138 bytes (18 words) - 21:19, 13 November 2009
  • ...re and highly unstable radioactive metalloid with the symbol Po and atomic number 84.
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