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Topic: Prime (symbol)

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	Prime (symbol) - Wikipedia, the free encyclopedia
		In molecular biology, the prime is used to denote the positions of carbon on a ring of deoxyribose or ribose.
		Prime can also be used to indicate which position a molecule has attached to, such as “5′-monophosphate”.
		Through the early part of the 20th century, the notation “x′” was read “x prime” not because it was an “x” followed by a “prime symbol”, but because it was the first in the series that continued with “x″” (“x second”) and “x‴” (“x third”).
	en.wikipedia.org /wiki/Prime_(symbol) (623 words)

	Prime - Wikipedia, the free encyclopedia
		Prime (planet), a designation of a planet relative to its system in Science Fiction.
		Prime ideal, subset of a ring in mathematics
		Prime (lending market sector), within which lending product providors are focused on selling products (mortgage, loan or credit card) to the individual who is high-value and/or has a good credit history - as opposed to the subprime market sector.
	en.wikipedia.org /wiki/Prime (234 words)

	Character design standards - Symbol
		Previous to TrueType fonts these symbols were only present in a PostScript symbol font in ROM on Macintosh printers and as screen bitmaps in the Macintosh font 'suitcase'.
		Prime and double prime marks, also called minute and second, are used in the abbreviations for inches, feet, minutes and seconds.
		Advance width rule : The advance width of the single prime mark is proportional to the design and the double prime mark is commonly not greater than two times the advance width of the single prime mark.
	www.microsoft.com /typography/developers/fdsspec/symbol.htm (915 words)

	PlanetMath: Legendre symbol (Site not responding. Last check: 2007-09-10)
		The Legendre symbol can be computed by means of Euler's criterion or Gauss' lemma.
		A generalization of this symbol is the Jacobi Symbol.
		This is version 6 of Legendre symbol, born on 2001-10-08, modified 2004-03-09.
	planetmath.org /encyclopedia/LegendreSymbol.html (100 words)

	Symbol Technologies: U.S. Department of Defense Awards Symbol Technologies Exclusive Five-Year Prime Contract (Site not responding. Last check: 2007-09-10)
		Symbol, as prime contractor, will supply a complete line of wireless mobile computing and scanning systems to meet demanding military applications.
		Symbol will support projects which may include the rapid and accurate deployment of materials and personnel throughout the world; tracking supplies through the military's global distribution centers and logistics network; and advanced identification of the military personnel.
		Symbol Technologies, Inc., The Enterprise Mobility Company™, is a recognized worldwide leader in enterprise mobility, delivering products and solutions that capture, move and manage information in real time to and from the point of business activity.
	www.symbol.com /news/pressreleases/press_releases__newrel__usdefe.html (564 words)

	APPLIED CRYPTOGRAPHY, SECOND EDITION: Protocols, Algorithms, and Source Code in C:Mathematical Background
		The Jacobi symbol, written J(a,n), is a generalization of the Legendre symbol to composite moduli; it is defined for any integer a and any odd integer n.
		The Jacobi symbol cannot be used to determine whether a is a quadratic residue mod n (unless n is prime, of course).
		The prime factors of p - 1 = 10 are 2 and 5.
	friedo.szm.sk /krypto/AC/ch11/11-09.html (586 words)

	[No title]
		Let a be a non-zero rational integer and p a natural prime not divisor of a.
		Kronecker' symbol, notation (a/b), where a and b are rational integers.
		symbol (a/b) for all integers b, we are able, in particular, to transform the property of quadratic
	staff.science.uva.nl /~dirk/prim_html/prime-ideals (801 words)

	Primality Testing
		To be absolutely certain that a given number is prime may take a considerable amount of time due to all the checking that is involved.
		It is true that for any odd prime p, as in the above example, half of the non-zero elements are quadratic residues and the other half are quadratic non-residues.
		The prime number theorem from number theory, tells you that the probability of selecting a prime at random is about 2/ln n (selecting only odd numbers), so, for an n in the 512-bit range this is about 2/177.
	www-math.cudenver.edu /~wcherowi/courses/m5410/ctcprime.html (610 words)

	[No title]
		\par \par \par (}{\fs44 {\field{\\fldinst SYMBOL* 36 \\f "Symbol" \\s 22}{\fldrslt\f3\fs44}}}{\fs44 x) (prime_number(x) }{\fs44 {\field{\\fldinst SYMBOL* 217 \\f "Symbol" \\s 22}{\fldrslt\f3\fs44}}}{\fs44 even_number(x)) \par \par "There exists an x, such that x is a prime number and x is an \par even number" \par \par Lets try and represent some of these: \par \par 1.
		Everyone is loved by someone \par \par {\pntext\pard\plain\fs44\lang1033\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qc\fi-552\li552\nowidctlpar\widctlpar\jclisttab\tx552{\\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent552\pnhang{\pntxta.}}\ls7\adjustright {\fs44 (}{\fs44 {\field{\\fldinst SYMBOL 34 \\f "Symbol" \\s 22}{\fldrslt\f3\fs44}}}{\fs44 x)(loves(x, logic))...or \par }\pard \qc\nowidctlpar\widctlpar\adjustright {\fs44...
		\par...prime(5) }{\fs44 {\field{\\fldinst SYMBOL* 217 \\f "Symbol" \\s 22}{\fldrslt\f3\fs44}}}{\fs44 prime(7) \par \par From this we can see that: \par \par (}{\fs44 {\field{\\fldinst SYMBOL* 34 \\f "Symbol" \\s 22}{\fldrslt\f3\fs44}}}{\fs44 x)(prime(x)) means that \par the first element has the property prime \par the second element has the property prime...
	www.compapp.dcu.ie /~alistair/logic/slides7_1.rtf (661 words)

	Prime minister says he's the symbol of democracy
		Caretaker Prime Minister Thaksin Shinawatra yesterday compared his election campaign to a fight to save democracy from rotting and insisted he would not surrender but stand his ground against the "outlaws".
		The April 2 election is judgement day if the people want to see the outlaws overcome those who play by the rules, he said.
		The country has to play by the rules, otherwise the prime minister will be ousted by outlaws, no matter how many millions of votes he gets, Thaksin said.
	www.nationmultimedia.com /2006/03/18/politics/politics_20003022.php (367 words)

	Jacobi's Symbol
		Jacobi (in 1846) published a paper in which he defined his own symbol by extending the Legendre symbol (a/p).
		For Legendre, p is restricted to being an odd prime - Jacobi allows p to be any odd positive integer.
		Rule 8 allows you to "flip" the symbol (a/b) whenever a is odd and 3 ≤ a < b.
	wwwmaths.anu.edu.au /DoM/thirdyear/MATH3301/jacobi.html (443 words)

	Lab Assignment #7
		The nonnegative numbers a and n are relatively prime, if their greatest common divisor is 1.
		Enter relatively prime integers A and N: 9 -3 N is less than or equal to zero.
		The section provides some brief background about the mathematical definition of the Jacobi symbol; it not necessary to read this section to do the project.
	www.cs.fit.edu /~ryan/ada/labs/lab07.html (405 words)

	The Prime Glossary: Jacobi symbol (Site not responding. Last check: 2007-09-10)
		Recall that the second (lower) entry in the Legendre symbol (a
		Jacobi generalized the Legendre symbol to allow lower entries that are odd (but not necessarily prime) as follows: Let the factorization of n be
		The Jacobi symbol has many properties that make its use the easiest way to evaluate a Legendre symbol.
	primes.utm.edu /glossary/page.php?sort=JacobiSymbol (228 words)

	Contents of The One-dimensional Case. (Site not responding. Last check: 2007-09-10)
		The tame symbol (5) will be trivial at every odd prime different from
		The only other prime where ramification can occur is the prime 2.
		This is the wild case, and the tame symbol does not apply.
	www.math.fau.edu /ford/preprints/darff/node2_ct.html (702 words)

	[No title]
		The symbol HankelH2 represents the second variety of Bessel Functions of the third kind (also called the Hankel functions of the second kind).
		The symbol SphericalHankel1 represents the Spherical Hankel Functions of the first kind (also called the first variety of the spherical Bessel functions of the third kind).
		The symbol SphericalHankel2 represents the Spherical Hankel Functions of the second kind (also called the second variety of the spherical Bessel functions of the third kind).
	www.orcca.on.ca /~bill/OpenMath/SpecialFns/cd/bessel.ocd (672 words)

	Endnotes for Chapter XII (Site not responding. Last check: 2007-09-10)
		I-Strategy and Plans, Exec 6 (the term SYMBOL Books was applied by OPD to the volumes which it prepared for the Casablanca Conference); (2) CCS 170/2, 23 Jan 43, title: SYMBOL—Final Rpt to President and Prime Minister Summarizing Decisions by CCS.
		At the close of the TRIDENT Conference, General Marshall accompanied Prime Minister Churchill to Algiers for a conference with General Eisenhower on post-HUSKY operations in the Mediterranean.
		This advance was to include the seizure of the Marshalls (January 1944) and the Marianas (October 1944) in the Central Pacific, and of New Britain (January 1944), Manus (April 1944), and Hollandia (June 1944) in the Southwest Pacific.
	www.army.mil /cmh/books/wwii/WCP/enchXII.htm (3684 words)

	Greek Alphabet (PRIME)
		athematics requires a large number of symbols to stand for abstract objects, such as numbers, sets, functions, and spaces, so the use of Greek letters was introduced long ago to provide a collection of useful symbols to supplement the usual Roman letters.
		To us these symbols may seem quite foreign, and they are difficult to become familiar with.
		In any particular textbook or paper, the way in which these symbols should be interpreted should generally be clear from the context and definitions.
	www.mathacademy.com /pr/prime/articles/greek/index.asp (492 words)

	The Prime Glossary: Legendre symbol
		Suppose p is an odd prime and a is any integer.
		Note: the Legendre symbol is better written vertically:
		The Legendre symbol is often evaluated by using the Jacobi symbol.
	primes.utm.edu /glossary/page.php?sort=LegendreSymbol (154 words)

	Jterm8c (Site not responding. Last check: 2007-09-10)
		Goals To Describe the "Prime* Symbol" and Show Its Expression
		"Symbolism proceeds from the knowledge of death in which the secret of space reveals itself"
		[b] considered 'the kind of extension' as the prime symbol of a culture
	www.samford.edu /schools/artsci/history/faculty/wpcollin/Jterm8c.htm (258 words)

	Symbol CEO: RFID Not Ready For Prime Time
		In a Feb. 6 interview with eWEEK, Iannuzzi said radio-frequency identification has years to go before it hits its stride, and he hesitates to guess when that will be, despite the company's status as the market leader for RFID readers.
		Symbol also makes rugged handheld computers, bar-code scanners, and wireless LAN equipment.
		To that end, Symbol, which also is the market leader in bar-code scanners, is developing RFID tags for untapped markets, Iannuzzi said.
	www.eweek.com /article2/0,1759,1920962,00.asp (986 words)

	[No title] (Site not responding. Last check: 2007-09-10)
		This content dictionary contains symbols to describe the functions generated by the bessel functions.
		The LommelS1 symbol represents the Lommel function of the first kind.
		The LommelS1 symbol represents the Lommel function of the second kind.
	www.orcca.on.ca /~bill/OpenMath/SpecialFns/cd/bessel_gen.ocd (166 words)

	Symbols in LaTeX and HTML — Steve Sque, University of Exeter
		Here's a short list of LaTeX and HTML commands for producing the symbols often used when writing up papers or making scientific webpages.
		I want to keep the HTML commands list free from hacks resorting to the use of the symbol font, but this can mean that some of the entity codes listed here will not display properly in older browsers.
		If you can't find the LaTeX symbol(s) that you are after, then I can almost guarantee that you'll find them in the
	newton.ex.ac.uk /research/qsystems/people/sque/symbols (148 words)

	[No title]
		I have taken Mike's original idea and updated it to match more closely the code in lisp/prim/lisp.el and to make it more reliable.
		That symbol is compared against the symbols that exist and any additional characters determined by what is there are inserted.
		If the symbol starts just after an open-parenthesis, only symbols with function definitions are considered.
	www-2.cs.cmu.edu /afs/cs.cmu.edu/project/gwydion-1/OldFiles/temp/1015 (233 words)

	Gauss's ternary form reduction and its application to a prime decomposition symbol, Yoshiomi Furuta
		Gauss's ternary form reduction and its application to a prime decomposition symbol
		[3] Y. Furuta, A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field, Nagoya Math.
		[4] A prime decomposition symbol and integral quadratic forms, Japan.
	projecteuclid.org /getRecord?id=euclid.nmj/1118787795 (161 words)

	Amazon.com: Pi (Symbol): Music: Various Artists (Site not responding. Last check: 2007-09-10)
		This item is not eligible for Amazon Prime, but over a million other items are.
		Most of tracks come from the world of beats, electronica, trance, ambient, drum-and-bass and the like, which -as we know- are extra-prone to becoming obsolete in no time.
		But perhaps the careful selection of the lineup of artists that delivered the music to the movie allows the album to continue to offer something now that electronica has somewhat passed its prime.
	www.amazon.com /exec/obidos/tg/detail/-/B000009MZW?v=glance (1665 words)

	New Indexes - 14 MSCI Indexes
		The MSCI US Prime Market 750 Index represents the universe of large and medium capitalization companies in the US equity market.
		This index targets for inclusion 750 companies and represents, as of June 30, 2003, approximately 87% of the capitalization of the US equity market.
		The MSCI US Prime Market 750 Index is the aggregation of the MSCI US Large Cap 300 and Mid Cap 450 Indices.
	www.amex.com /amextrader/tdrInfo/data/axNotices/2004/valert2004-03.html (1569 words)

	stock symbol toys (Site not responding. Last check: 2007-09-10)
		List of all stock symbols with descriptions beginning with JSM JUS available on the Profitspi stock charts portfolio tracking and screening site.
		Wave Decepticon Sound Wave Decepticon Symbol Decepticon Transformer Dreamwave Logo Matrix Megatron Prime Stock Symbol Toys Trade Transformers List of all stock symbols with descriptions beginning with JSM JUS available on the Profitspi stock charts portfolio tracking and screening site.
		List of all stock symbols with descriptions beginning with JSM - JUS available on the Profitspi stock charts, portfolio tracking and screening site.
	stock-symbol.gimmesomemore.info /stock-symbol-toys (561 words)

	Metroid Prime: Hunters : DS at Gamepro.com - Reviews, Previews and Cheats for Metroid Prime: Hunters
		Cheats: Metroid Prime: Hunters - Bounty Hunter Rank
		Cheats: Metroid Prime: Hunters - Elite Hunter Rank
		Cheats: Metroid Prime: Hunters - Legendary Hunter Rank
	www.gamepro.com /nintendo/ds/19479/info.shtml (438 words)

	Symbol Search: primerate - Real Time & Delayed Quotes, Charts, News and Data for Futures, Stocks, Commodities and ...
		Symbol Search: primerate - Real Time & Delayed Quotes, Charts, News and Data for Futures, Stocks, Commodities and Indexes - TradeSignals
		Your search - primerate - did not match any documents.
		EG: Enter corn to return all symbols for corn.
	www.tradesignals.com /summary/search/primerate (211 words)

	[No title]
		\\\"RefGuideLinkText\\\", ButtonFrame->None, \ ButtonData:>\\\"General::spell1\\\"]\\)\"\>"}]], "Message"], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["vr", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Rule]", \(r[ t]\ \((\(-\(\(G\ Mstar\)\/\((r[t]\^2 + z[t]\^2)\)\^\(3/2\)\)\) + \ \[Omega][t]\^2)\)\)}]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(omegaPrime\ = \ \((\(\(\(\(Solve[ EquationTheta1, \ \(\[Omega]'\)[ t]]\)[\([1]\)]\)[\([1]\)] /.
		zPrime)\)\)], "Input", FontSize->18], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["\[Omega]", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Rule]", \(-\(\(2\ vr[t]\ \[Omega][t]\)\/r[t]\)\)}]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(vzPrime\ = \ \((\(\(\(\(Solve[ EquationZ1, \(vz'\)[t]]\)[\([1]\)]\)[\([1]\)] /.
		vzPrime\)], "Input", FontSize->18], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "\[Equal]", \(vr[t]\ \((t\ \[CapitalOmega]0 - \[Theta][t])\) + r[t]\ \((\[CapitalOmega]0 - \[Omega][t])\)\)}]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(EquationYPrime\ = \ \(\(\(\(\(D[EquationY1, t] /.
	www.me.berkeley.edu /ME298-52/xylar/dust_trapping_in_ppd.nb (2056 words)

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