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Topic: 1000000000000 (number)

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	[No title]
		Number of nodes in set 1 is 4 Number of nodes in set 2 is 6 The graph: 1 0000101001 2 0000000110 3 0000011100 4 0000000101 5 1000000000 6 0010000000 7 1010000000 8 0111000000 9 0100000000 10 1001000000 The graph IS bipartite.
		Number of nodes is 6 Number of edges is 5 The graph: 1 000100 2 000010 3 000100 4 101011 5 010100 6 000100 The graph IS edgewise connected.
		Number of nodes = 135 Number of edges = 389 Sort the edges: Determine the faces: The faces were determined.
	orion.math.iastate.edu /burkardt/f_src/grafpack/grafpack_prb.out (1497 words)

	IBM Software - NetRexx - Language Definition - Numbers and Arithmetic
		Numbers can be expressed in NetRexx very flexibly (leading and trailing blanks are permitted, exponential notation may be used) and follow conventional syntax.
		The numbers are multiplied together ('long multiplication') resulting in a number which may be as long as the sum of the lengths of the two operands.
		For calculating the power, the number is effectively multiplied by itself for the number of times expressed by the power, and finally trailing zeros are removed (as though the result were divided by one).
	www-306.ibm.com /software/awdtools/netrexx/library/nrlarith.html (3152 words)

	MSN Encarta - Romania
	encarta.msn.com /encyclopedia_761559516/Romania.html (1012 words)

	[No title]
	www.rotravel.com /romania/history/cap1.php (262 words)

	Romania - VisitEurope.com (Site not responding. Last check: 2007-10-22)
	www.visiteurope.com /romania.html (285 words)

	Romania
	flagspot.net /flags/ro.html (1633 words)

	ICL - Romania - Constitution (Site not responding. Last check: 2007-10-22)
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	Government of Romania (Site not responding. Last check: 2007-10-22)
	www.gov.ro /engleza (2233 words)

	Southeastern Europe Country Analysis Brief
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	Amnesty International Report 2002 - Europe - ROMANIA
	web.amnesty.org /web/ar2002.nsf/eur/romania!Open (1613 words)

	Romania
	travel.state.gov /travel/romania.html (2499 words)

	Rome and Romania, Roman Emperors, Byzantine Emperors, etc.
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	Romania
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	ROMANIA - Official Travel and Tourism Information. History
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	Romania
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	BBC NEWS \| World \| Europe \| Country profiles \| Country profile: Romania
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	ICL - Romania Index (Site not responding. Last check: 2007-10-22)
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	Romania News
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	Romania Special Weapons
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	Romania Travel Information \| Lonely Planet Destination Guide
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	Romania - In Your Pocket (Site not responding. Last check: 2007-10-22)
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	CIA - The World Factbook -- Romania (Site not responding. Last check: 2007-10-22)
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	Romania Maps - Perry-Castañeda Map Collection - UT Library Online
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	Romania : Country Studies - Federal Research Division, Library of Congress
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	WTO \| Romania - Member information
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	About Romania - Location, Flag, Map, Weather, Transportation
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	CCL FAQ: Why do we talk of accuracy not size for floating point numbers?
		The reason that this complicates things is that you might assume that a number such as 1,000,000,000,000 can be easily, accurately and compactly stored, which would be true if the numbers were stored as decimal numbers.
		It should also be clear that floating point numbers won't just be inaccurate in the decimal part of the number, but may also be inaccurate in the integer part.
		We are used to seeing numbers such as 3.1415926535897932384626433832795 being rounded to 3.14, but we are less used to seeing numbers such as 15426838322057 being rounded to 15430000000000.
	www.uk.ccl.com /cgi-bin/protonfaq.cgi?faq=itemconfigwhydowetalkofaccuracynotsizeforfloatingpointnumbers (501 words)

	Computers and numbers (Site not responding. Last check: 2007-10-22)
		In the second example we multiplied an integer with a floating-point number, in common parlance: a real number or real (though there are very significant differences between the mathematical real numbers and the computer's real numbers that are at the heart of another group of mysteries and quirks).
		The typical range for floating-point numbers is roughly: -1.0e+300 to -1.0e-300, 0.0 and 1.0e-300 to 1.0e+300.
		If you add, subtract, multiply and divide an integer number and a floating-point number, then the integer number is first converted to a floating-point number with the same value and then the computation is done, resulting in a floating-point number.
	www.tcl.tk /man/tcl8.5/tutorial/Tcl6a.html (1096 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-22)
		And whenever you have an infinite number of parts of something (an infinite number of places in a number, in this case) you might well expect something amazing to happen.
		An infinite decimal "officially" is considered to be a sequence of numbers, by mathematicians who think about the origins and foundations of our number systems.
		In each case, the final and official value of the number is the limit of the sequence of these numbers that get "closer and closer" to that limiting value.
	mathforum.org /library/drmath/view/64296.html (535 words)

	Comp 111 --- Notes --- 11/16/98 -- 11/20/98
		Click here to try an applet that demonstrates how bitwise operators can be used to check if a number is even or odd.
		where m is the total number of bits in the representation.
		Examine the code below, used to display a number as a binary string.
	www.wesleyan.edu /cs/comp111/notes/binary-numbers.html (720 words)

	ČVUT FEL++ Internal 2003 Contest in Prague (Site not responding. Last check: 2007-10-22)
		X is the number of columns in the map, Y is the number of rows.
		The number must be written with a centimeter precision, with exactly two digits after a decimal point.
		A number which has already been chosen by one of the players or a multiple of such a number cannot be chosen.
	contest.felk.cvut.cz /04fee/solved (3470 words)

	CSS3 module: Lists
		The decimal number 100, in ethiopic, is ፻ U+137B
		Numbers outside the range of the syriac system are rendered using the decimal numbering style.
		Numbers outside the range of the tamil system are rendered using the decimal numbering style.
	www.w3.org /TR/2002/WD-css3-lists-20021107 (7525 words)

	Scientific Notation - Free Math Help
		It is called scientific notation because these huge numbers are often found in scientific work, like the size of an atom or the mass of the earth.
		Now you can compare that number to others, because the 10^12 means there are 12 zeroes at the end.
		However, in order for scientific notation to be completely correct, the number at the beginning must be between 1 and 10.
	www.freemathhelp.com /scientific-notation.html (346 words)

	Homework1 (Site not responding. Last check: 2007-10-22)
		One way of specifying such large numbers is by specifying the number of times each prime number occurs in it, thus 825 could be specified as (0 1 2 0 1) meaning no twos, 1 three, 2 fives, no sevens and 1 eleven.
		For example the numbers: if any number appears in the tragedy, it must be converted to its reversed form before being accepted into the comedy play.
		A reversed number is a number written in Arabic numerals but the order of digits is reversed.
	www.aui.ma /personal/~O.Iraqi/csc1401/homeworks/Homework1.htm (1509 words)

	[No title]
		Number of nodes in set 1 is 4 Number of nodes in set 2 is 6 The graph: 1 0001110000 2 0000000000 3 0001010001 4 1010000000 5 1000000000 6 1010000100 7 0000000000 8 0000010001 9 0000000001 10 0010000110 The graph IS bipartite.
		Number of nodes is 6 Number of edges is 5 The graph: 1 000100 2 001001 3 010000 4 100010 5 000101 6 010010 The graph IS edgewise connected.
		TEST037 GRAPH_ADJ_RANDOM returns a random graph; Number of edges requested = 10 The graph: 1 011010 2 100101 3 100111 4 011011 5 101100 6 011100 TEST0375 GRAPH_ADJ_RANDOM2 returns a random graph, for which edges are generated with a given probability.
	www.csit.fsu.edu /~burkardt/f_src/grafpack/grafpack_prb.out (1349 words)

	Thread Test by Cody Powell (Site not responding. Last check: 2007-10-22)
		Not only is it a pretty good introduction to threading in C#, it outputs performance information for a computationally-intensive task (determining the factors for a huge number) that's done once in a single thread and once in a multi-thread environment.
		You must supply it with two parameters: the number to be factored and the number of threads to spin off.
		Altering the number of threads didn't seem to have as large a performance effect as one might think.
	www.codypowell.com /projects/ThreadTest (364 words)

	Problem 6: Smooth operator (Site not responding. Last check: 2007-10-22)
		finding smooth numbers is important in modern techniques for cracking the RSA public key cryptosystem.
		A k-smooth number is a positive integer all of whose prime factors are less than k.
		For each input number, on a line write the number followed by the first smooth number which is strictly greater than the input number.
	www.eecis.udel.edu /~saunders/nov02/smooth.html (94 words)

	1016 -- Numbers That Count
		The other day, Klyde filled an order for the number 31123314 and was amazed to discover that the inventory of this number is the same as the number---it has three 1s, one 2, three 3s, and one 4!
		Finally, n enters an inventory loop of length k (k>=2) if k is the smallest number such that for some integer j (j>=0), the value of the j-th iterative application of the inventory function is the same as the value of the (j + k)-th iterative application.
		For instance, 314213241519 enters an inventory loop of length 2, since the inventory of 314213241519 is 412223241519 and the inventory of 412223241519 is 314213241519, the original number (we have j = 0 in this case).
	acm.pku.edu.cn /JudgeOnline/problem?id=1016 (603 words)

	Long and short scales - Wikipedia, the free encyclopedia
		The existence of these different scales means that great care must be taken when translating large numbers between languages and using old documents in countries where the dominant scale has changed over time.
		a million millions (1,000,000,000,000); for Americans it means a thousand multiplied by itself twice, or a thousand millions (1,000,000,000), what we call a milliard.
		SI is therefore independent of the scale being used, and notes the language-dependence of some number names [4].
	www.daveproxy.co.uk /cgi-bin/nph-proxy.cgi/010110A/687474703a2f2f656e2e77696b6970656469612e6f72672f77696b692f4c6f6e675f616e645f73686f72745f7363616c6573 (2109 words)

	amychris:Desktop Folder:arealnk4.html
		For example if you look at the number 1000000000000, it is not clear how many 0's there are!
		Notice that now the number of zeros is five, yet we have multiplied by 10 seven times.
		This is because the number n represents how many digits there are to the right of the first digit (the 1 in this case), whether they are zeros or not.
	www.ucl.ac.uk /Mathematics/geomath/rev/aandv/arealnk4.html (134 words)

	[No title]
		The test, as given, amounts to a test *** of whether data is being stored in better than binary double precision.
		* * The intention of the test, I believe, was to determine if the ANOVA * routine could deal with numbers that varied only in their trailing * digits.
		What was previously 1000000000000.4 * now becomes 10000000000004, a number that a digital computer * can store accurately in double precision.
	www.stata.com /support/cert/nist/anova/sl7b.do (299 words)

	Minus Zero
		Consider: when the computer adds two numbers, with signed magnitude it first has to look at the signs of both numbers, then decide, based upon the signs, whether to add them or subtract one from the other, and what sign the result will bear.
		The oddity of a negative number with no positive counterpart is also gone; the nine's complement of the largest positive number, 4999 is 5000, which represents -4999 just as you'd expect.
		In summary, by admitting the added complexity of end-around carry, we have obtained a way of representing negative numbers which is symmetric, in which power-of-two division can be done by shifting for all numbers, and where negating a number and inverting all its bits are one and the same thing.
	www.fourmilab.ch /documents/univac/minuszero.html (2935 words)

	PHP: intval - Manual
		This codec pair is also quite useful when needing to write ints to files, as this is a low-numeral biased encoding: most of the time this will only require 8 or 16 bit rather than the 32 bits an int will use in fixed-length encoding.
		Still have on mind, that if you convert big numbers by adding zero, PHP makes automatic "to a float" conversion, so it is same as floatVal().
		Appears to be a floating point issue, but the number 1999 is the only number that I was able to get to do this.
	www.php.net /intval (1311 words)

	Types, Values, and Variables
		The IEEE 754 standard includes not only positive and negative numbers that consist of a sign and magnitude, but also positive and negative zeros, positive and negative infinities, and special Not-a-Number values (hereafter abbreviated NaN).
		Operators on floating-point numbers behave as specified by IEEE 754 (with the exception of the remainder operator (§15.17.3)).
		The language uses round toward zero when converting a floating value to an integer (§5.1.3), which acts, in this case, as though the number were truncated, discarding the mantissa bits.
	java.sun.com /docs/books/jls/second_edition/html/typesValues.doc.html (4876 words)

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