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Topic: Number

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In the News (Wed 20 Mar 19)

  What's Special About This Number?
is the number of planar partitions of 10.
is the number of planar partitions of 11.
is the number of planar partitions of 12.
www.stetson.edu /~efriedma/numbers.html   (7286 words)

  Number - Wikipedia, the free encyclopedia
The arithmetical operations of numbers, such as addition, subtraction, multiplication and division, are generalized in the branch of mathematics called abstract algebra, the study of abstract number systems such as groups, rings and fields.
This number is denoted by i, a symbol assigned by Leonhard Euler.
The existence of complex numbers was not completely accepted until the geometrical interpretation had been described by Caspar Wessel in 1799; it was rediscovered several years later and popularized by Carl Friedrich Gauss, and as a result the theory of complex numbers received a notable expansion.
en.wikipedia.org /wiki/Number   (3652 words)

 P-adic number - Wikipedia, the free encyclopedia
The p-adic numbers were motivated primarily by an attempt to bring the ideas and techniques of power series methods into number theory.
of p-adic numbers is an extension field of the rational numbers.
The simplest introduction to p-adic numbers is to consider 10-adic integers, which are simply strings of digits in which you allow an infinite number of digits to the left, for example, the number...9999, and then do arithmetic with such numbers as usual.
en.wikipedia.org /wiki/P-adic_numbers   (2377 words)

 11: Number theory
Number theory is one of the oldest branches of pure mathematics, and one of the largest.
For example, "additive number theory" asks about ways of expressing an integer N as a sum of integers a_i in a set A. If we set f(z) = Sum exp(2 pi i a_i z), then f(z)^k has exp(2 pi i N z) as a summand iff N is a sum of k of the a_i.
Questions in algebraic number theory often require tools of Galois theory; that material is mostly a part of 12: Field theory (particularly the subject of field extensions).
www.math.niu.edu /~rusin/known-math/index/11-XX.html   (2587 words)

 Grammatical number - Wikipedia, the free encyclopedia
Grammatical number may be thought of as the indication of semantic number through grammar.
Dual number existed in Ancient Greek, and it is often found in Indo-European and Afro-Asiatic languages.
Elements marking number may appear on nouns and pronouns in dependent-marking languages or on verbs and adjectives in head-marking languages.
en.wikipedia.org /wiki/Grammatical_number   (1952 words)

 number definition - Dictionary - MSN Encarta
Careful writers distinguish between quantity ("an amount of something") and number ("a total or estimated total of persons or things that can be individually counted"), as in A large number [better than quantity] of people had gathered in the square.
Number is a collective noun that can take a singular or plural verb depending on how you use it.
Therefore, you must use a singular verb with number preceded by "the": The number of lab coats available is limited.
encarta.msn.com /encnet/features/dictionary/DictionaryResults.aspx?refid=1861684086   (493 words)

 What's a number?
Given the difficulty of establishing whether a given number is algebraic or not, this was one of Cantor's early surprising results.
The rest of the complex numbers could also be defined by adding this new number i to the set of reals and postulating that usual arithmetic operations (addition, subtraction, multiplication) apply to the expanded set and all the laws known to hold for these operations hold for the new set as well.
The rest of surreal numbers (included are the numbers we discussed so far and myriads of numbers some of which I have a difficulty imagining.) are formed starting with 0 and applying just two simple rules.
www.cut-the-knot.org /do_you_know/numbers.shtml   (3529 words)

 Local Number Portability
While consumers who wish to switch carriers may request service from and port numbers to a new carrier at any time, they are still obligated to pay any early termination fees they may have under an existing contract, and they are obligated to pay any outstanding balance owed to the old carrier.
Customers who want to port a wireline number to a wireless phone and are told that they cannot should contact their state public utility commission to find out whether their wireline carrier has been granted a waiver.
During the time the number is being ported from the old carrier to the new carrier, there may be a period of "mixed service" when E911 service is affected.
www.fcc.gov /cgb/NumberPortability   (1349 words)

 Erdos Number Project
This subpage has loads of information about the collaboration graph and Erdös numbers, including the distribution of Erdös numbers (they range up to 13, but the average is less than 5, and almost everyone with a finite Erdös number has a number less than 8) and “Erdös numbers of the second kind”.
Compute Your Own Erdös Number: It may be smaller than you think.
A lot of research is currently being done by various scientists on collaboration graphs and related topics.
www.oakland.edu /enp   (737 words)

 number from Online Medical Dictionary
To give or apply a number or numbers to; to assign the place of in a series by order of number; to designate the place of by a number or numeral; as, to number the houses in a street, or the apartments in a building.
To amount; to equal in number; to contain; to consist of; as, the army numbers fifty thousand.
That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; chiefly used in the plural.
cancerweb.ncl.ac.uk /cgi-bin/omd?number   (389 words)

 Oxidation Number Encyclopedia Article @ NaturalResearch.org (Natural Research)   (Site not responding. Last check: 2007-10-29)
In chemical nomenclature, the oxidation number (formerly known as the Stock number) of an element in a molecule or complex is the charge that it would bear if all the ligands were removed along with the electron pairs that were shared with the central atom.
The oxidation number is placed either as a right superscript to the element symbol, e.g.
The approximation is that the electron pairs forming the coordination bonds are mostly associated with the ligands: this is a good approximation for most Werner-type complexes, but much less true for organometallic compounds as well as for certain hydrido complexes, dithiolene complexes and nitrosyl complexes.
www.naturalresearch.org /encyclopedia/Oxidation_number   (342 words)

 XML Path Language (XPath)
If the result is a number, the result will be converted to true if the number is equal to the context position and will be converted to false otherwise; if the result is not a number, then the result will be converted as if by a call to the boolean function.
NOTE: The number function should not be used for conversion of numeric data occurring in an element in an XML document unless the element is of a type that represents numeric data in a language-neutral format (which would typically be transformed into a language-specific format for presentation to a user).
In addition, the number function cannot be used unless the language-neutral format used by the element is consistent with the XPath syntax for a Number.
www.w3.org /TR/xpath#section-String-Functions   (8473 words)

 K-3 Number Activities at EnchantedLearning.com
Draw and color numbers according to simple directions, such as, "In box number 2, use a blue crayon to write the numbers from 1 to 10, skipping every other number (these are even numbers).." Or go to the answers.
The numbers from zero to ten are used in the subtraction problems and the answers are the numbers from zero to six.
The numbers from one to twenty-two are used in the subtraction problems and the answers are the numbers from seven to thirteen.
www.enchantedlearning.com /themes/123.shtml   (1935 words)

 List of Elements By Number Encyclopedia Article @ LaunchBase.net (Launch Base)   (Site not responding. Last check: 2007-10-29)
Each element's name, element symbol, group and period, atomic mass (or most stable isotope), density, melting point, boiling point and discoverer are given.
[209], indicates the mass number of the longest-lived isotope of the element or characteristic isotopic composition.
The isotopic composition of this element varies in some geological specimens, and the variation may exceed the uncertainty stated in the table.
www.launchbase.net /encyclopedia/List_of_elements_by_number   (427 words)

 Avogadro's Number   (Site not responding. Last check: 2007-10-29)
This number is frequently referred to as "Avogadro's Number," the term "Loschmidt's Number" being then reserved for the number of molecules in a cubic centimetre of a gas under standard conditions.
Avogadro's important hypothesis on the identity of the numbers of molecules in equal volumes of different gases at the same pressure and temperature was formulated in 1811, and is appropriately associated with his name; but Avogadro made no quantitative estimate of either of the above-mentioned constants.
The first actual estimate of the number of molecules in one cubic centimetre of a gas under standard conditions was made in 1865 by Loschmidt, and from this the number of molecules (atoms) in a gram molecule (atom) was later evaluated.
gemini.tntech.edu /~tfurtsch/scihist/avogadro.htm   (962 words)

 : Class NUMBER
java.sql.SQLException - on over/underflow of the Oracle Number exponent and on overflow of the mantissa.
java.sql.SQLException - on overflow of the Oracle Number exponent and on overflow of the mantissa.
java.sql.SQLException - on overflow/underflow of the Oracle Number exponent or mantissa.
www.oracle.com /technology/hosted_doc/jdev/jdbc/oracle/sql/NUMBER.html   (3669 words)

 Number (Flex™ 2 Language Reference)
The properties of the Number class are static, which means you do not need an object to use them, so you do not need to use the constructor.
Flash Player handles int and uint data types more efficiently than Number, but Number is useful in situations where the range of values required exceeds the valid range of the int and uint data types.
The Number class can be used to represent integer values well beyond the valid range of the int and uint data types.
livedocs.adobe.com /flex/2/langref/Number.html   (919 words)

 What is number?
Number is a grammatical category of nouns, pronouns, and verb agreement that expresses count distinctions (such as "one" or "more than one").
The count distinctions typically, but not always, correspond to the actual count of the referents of the marked noun or pronoun.
In the word girls, plural number is marked by the suffix -s.
www.sil.org /linguistics/GlossaryOfLinguisticTerms/WhatIsNumber.htm   (93 words)

 Mysterious number 6174
The maximum number we can make with these digits is 5200, and the minimum is 0025 or 25 (if one or more of the digits is zero, embed these in the left hand side of the minimum number).
The number 495 is the unique kernel for the operation on three digit numbers, and all three digit numbers reach 495 using the operation.
My computer program checked all 8991 numbers, but in his article Malcolm Lines explains that it is enough to check only 30 of all the possible four digit numbers when investigating Kaprekar's operation.
plus.maths.org /issue38/features/nishiyama   (1889 words)

 Number: What Is "This Many?" -- Platonic Realms MiniText
The natural numbers are the only numbers we need for one of the most imporant results in classical mathematics, which comes down to us from antiquity (it is found in Euclid's Elements).
However, negative numbers can be very handy for calculations involving debt, and the Italians (who invented banks) were the first to recognize their importance in finance and to use them for that purpose.
What it says is, the set of rational numbers is the set consisting of all numbers of the form p divided by q, where p and q are elements of the set of integers and q is not zero.
www.mathacademy.com /pr/minitext/number   (3230 words)

 Funbrain.com's Number Cracker Game
Soup catches him by guessing what number comes next in a series of numbers.
You are shown the series: 2 4 8
The next number is 16, since each number in the series is doubled.
www.funbrain.com /cracker/index.html   (54 words)

 PHP: number_format - Manual
About the function of j-a-n at gmx dot de: it's useful, but the argument of the function is $number while the logic of the function requires it to be $in.
This is because the numbers generated by performing math are double precision (which means pretty darn accurate) and not perfect precision (which would be what you get when you do the math on paper).
Since number_format() returns a string, numbers returned that DO NOT have a comma in them will still be added but numbers that DO have a comma will not be added because PHP considers them a string and ignores them.
www.php.net /number_format   (2762 words)

 "Number" Word Problems
First, you know that you are adding two numbers, and that they total to fifteen.
This last piece of information comes from the fact that "consecutive integers" (or "consecutive whole numbers", if they're restricting the possibilities to only positive numbers) are one apart.
Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is
purplemath.com /modules/numbprob.htm   (484 words)

 Amazon.com: Number: Books: Midhat Gazale   (Site not responding. Last check: 2007-10-29)
In Number: From Ahmes To Cantor, Midhat Gazale takes the reader on an historical survey of the concept of numbers ranging from the antiquarian civilizations of Egypt, Mesopotamia, Maya, Greek, and Hindi, to the Arab invasion of Europe and the Renaissance era.
Number: From Ahmes To Cantor is a superbly written combination of history, mathematics, and a little computer science as it relates to the history, acquisitions, invention, and meaning of numbers.
Number: From Ahmes To Cantor is highly recommended reading for students of mathematics, and is an invaluable history completely accessible to the non- specialist general reader with an interest in the history of mathematics.
www.amazon.com /Number-Midhat-Gazale/dp/069100515X   (1438 words)

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