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Topic: Colossally abundant number


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In the News (Fri 1 Jan 10)

  
  Colossally abundant number - Wikipedia, the free encyclopedia
In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a certain kind of natural number.
The first few colossally abundant numbers are 2, 6, 12, 60, 120, 360, 2520, 5040,...
Keith Briggs on colossally abundant numbers and the Riemann hypothesis
en.wikipedia.org /wiki/Colossally_abundant_number   (248 words)

  
 Abundant Number   (Site not responding. Last check: 2007-10-26)
An number is an integer n which is not a perfect number and for which s(n) \equiv \sigma(n)-n > n, where \sigma(n) is the divisor function and s(n) is the.
abundant (bndnt nmbr) (mathematics) A positive integer that is greater than the sum of all its Hold Music divisors, including unityOn the smallest abundant number not divisible by the first $k$ primes On the smallest abundant number not divisible by the first $k$ primes We say a positive integer $n$ is
An abundant number is defined as a positive integer whose proper divisors sum to.
abundant.dolok.info /abundant-number.htm   (572 words)

  
 Million   (Site not responding. Last check: 2007-10-26)
Physical quantities can also be expressed using the SI prefix mega, when dealing with SI units.
The million is sometimes used in the English language as a metaphor for a very large number, as in "Never in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles".
(power of two), 2116-gonal number, an 8740-gonal number and a 174764-gonal number, the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on.
www.wikipedia-mirror.co.za /wiki/Million   (465 words)

  
 Million   (Site not responding. Last check: 2007-10-26)
The million is sometimes used in the English language as a metaphor for a very large number, as in "Never in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles".
The word "million" is common to the short scale and long scale numbering systems (and also to the proposed Rowlett numbering system), unlike the larger numbers, which have different names in the two systems.
(power of two), 2116-gonal number, an 8740-gonal number and a 174764-gonal number, the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on.
www.libraryoflibrary.com /E_n_c_p_d_Million.html   (442 words)

  
 [No title]   (Site not responding. Last check: 2007-10-26)
Colossally Abundant Number -- from Wolfram MathWorld A colossally abundant number is a positive integer n for which there is a positive exponent All colossally abundant numbers are superabundant numbers.
Abundant number synonyms, Abundant Abundant number: Definition and Much More from Answers.com abundant number (ə′bəndənt ′nəmbər) (mathematics) A positive integer that is greater than the sum of all its divisors, including unity.
PlanetMath: abundant number Given a pair of amicable numbers, the lesser of the two is abundant.
buydirto25.adnounsewed.org   (286 words)

  
 1000000000 (number) Encyclopedia Article @ ClearestDiamonds.com (Clearest Diamonds)   (Site not responding. Last check: 2007-10-26)
One thousand million (1,000,000,000) is the natural number following 999,999,999 and preceding 1,000,000,001.
(Though in many other languages, a billion means a million millions (or 1,000,000,000,000), instead of the English thousand million.) A milliard can also be used to refer to 1,000,000,000, though this terminology is rarely used in the English language, but often in other languages.
Physical quantities can be expressed using the SI prefix giga.
www.clearestdiamonds.com /encyclopedia/1000000000_(number)   (570 words)

  
 Land Use and Right Livelihood
Small numbers diminish the magnitude of the whites' genocidal crime as well as the Native Americans' ecological wisdom, while large numbers accentuate both.
Even if the actual number were double this— 36 million—the per capita resource use and effect on the environment would have hardly been small: a continent was transformed by a population roughly a tenth the size of today's.
Perhaps, in addition to "everything gardens," we can admit that "everything mines, a little bit.") Developed ecosystems use huge amounts of resources, but materials are kept dancing in the biosphere rather than being dumped to a waste sink.
www.patternliteracy.com /landuse.html   (2239 words)

  
 the writing of plays   (Site not responding. Last check: 2007-10-26)
The only rule that can be stated is that, when the attention of the audience is required for an exposition of any length, some attempt ought to be made to awaken in advance their general interest in the theme and characters.
It can, I think, be proved beyond any shadow of doubt that they are wrong in this; that the act division was perfectly familiar to Shakespeare, and was used by him to give to the action of his plays a rhythm which ought not, in representation, to be obscured or falsified.
We can derive no sense of superiority from our foreknowledge of an arbitrary or preposterous action; and that, I take it, is the reason why a good many plays have an initial success of curiosity, but cease to attract when their plot becomes familiar.
www.harvestfields.netfirms.com /etextLinks/033/02.htm   (18988 words)

  
 Reference.com/Encyclopedia/360 (number)
360 is also a superior highly composite number and a colossally abundant number.
360 is the smallest number divisible by every number from 1 to 10 except 7.
One of 360's divisors is 72, which is the number of primes below it.
www.reference.com /browse/wiki/360_(number)   (346 words)

  
 1000000000 (number) -   (Site not responding. Last check: 2007-10-26)
For details on the differing meanings of "billion", see long and short scales.
(A milliard can also be used to refer to 1,000,000,000, though this terminology is much rarer).
See Orders of magnitude (numbers) for larger numbers.
en.wikipedia.2es.com.pl /wiki/Billion   (655 words)

  
 ANGLO-SAXON CONSERVATISM   (Site not responding. Last check: 2007-10-26)
Normally, therefore, Leftists can justify their love of government power only by claiming that government powers are needed for "compassionate" ends -- to provide charity or protection to those in dire need of it.
The idea that large-scale compassionate results can be achieved by non-government or minimal government means is generally a complex one so the much more simplistic "get the government to pass a law" has wide appeal and wins lots of votes.
The answer becomes obvious if we posit (as I have done at length elsewhere) that Leftists really have no concern at all about what they are advocating, that they do not really care about human advancement at all, that their "concern" for the poor etc. is a sham.
jonjayray.tripod.com /rightism.html   (19612 words)

  
 Islam: A Primer
And, of course, a significant number of Arabs are Christians.
It seems to me that a moderate Islam can take hold only where there is an institution to support it: namely, independent schools of law, where moderation can become enshrined through deliberation by people who are respected.
This is truly the most romantic and utopian aspect of their thinking, that you can go back and extract from a literal but always selective reading of the Koran all the principles you need to create and run a just society.
www.catholiceducation.org /links/jump.cgi?ID=3691   (8914 words)

  
 Frederick Engels / How Proudhon Solves the Housing Question
The growth of the big modern cities gives the land in certain areas, particularly in those which are centrally situated, an artificial and often colossally increasing value; the buildings erected on these areas depress this value, instead of increasing it, because they no longer correspond to the changed circumstances.
This can naturally only take place by the expropriation of the present owners and by quartering in their houses the homeless or those workers excessively overcrowded in their former houses.
If the interest on loaned capital is abolished then no house owner can obtain a penny piece in rent for his house, simply because house rent is spoken of as interest and because the rent contains a part which is really interest on capital.
www.cooperativeindividualism.org /engels_proudhonandhousing.html   (6306 words)

  
 Invision Power Board > Alligator makes Python Blow up?
Oct 6 2005, 12:00 PM It is colossally boneheaded to release non-native species into the environment.
This can be called a regime shift because the whole food web and environment is affected.
NYtimes uses a base 36 numbering system for their articles, and that one is the 61,706,416,046th article written for the paper.
www.beggingtodiffer.com /forum/lofiversion/index.php?t1131.html   (3656 words)

  
 China's Kazakh prize: The expert opinion
The calculus of the oil economy is relatively simple: if the oil infrastructure can continue bringing oil to market fast enough to meet market demand, then the economy will continue to tick along as it has.
Coal is cheap and abundant but dirty, and a significant increase in the number of coal-fired power plants contribute to air quality problems, anthropocentric climate change, and toxic, even radioactive, waste.
Nuclear power, by contrast, is colossally expensive, and the cost will only increase as high quality fuel is depleted and the fuel costs of mining, refining, and transporting nuclear fuel, not to mention building nuclear power plants, go up.
www.fromthewilderness.com /free/ww3/082405_world_stories.shtml   (6164 words)

  
 Uru - Guild of Cartographers
As best I can tell this simply was a matter of a plan not working, bad timing and creative people failing to get it right on a first try, which is normal for human endeavor.
Many were young, all were inexperienced and the size, complexity of the caverns was enormous and danger from old colossally powerful machines long lacking proper care was a great risk.
Heavens, if explorers were to start dying, and several had already disappeared and some may well have died in the caverns, there would be those voices that would rise forth and call for the destruction and sealing of the caverns.
www.cates-associates.net /uru   (2415 words)

  
 [No title]
Any multiple of a perfect number or an is also abundant.
Colossally -- from Wolfram MathWorld A colossally is a positive integer n for which there is a positive exponent All colossally s are superabundant numbers.
7 exponent All colossally or excessive number is abundant What is the smallest synonyms, AbundantColossally is a positive integer n for which there is a professional development effort designed to support teachers in Trial reported three consecutive s are supers.
tradesortbuy51.tarascredefy.org   (409 words)

  
 John Robb's Weblog: March 2006
I can tell you that there are next generation economy jobs out there (I am in one now, building a new company that is zooming before we are even ready to take customers).
You can get a sense of how wrong it is by the efforts of US Ambassador Zalmay Khalilzad to inform insurgents that the war should be over and that they have lost.
Reuters: Police officers working at their Baghdad headquarters said witnesses and patrol officers had reported that about 50 employees of the security firm had been taken away from their headquarters by men in uniform driving police pick-up trucks.
globalguerrillas.typepad.com /johnrobb/2006/03/index.html   (7596 words)

  
 stitch marker: knitting: shawls
Or, no, the number of rows I've gotten up to on this luscious feather and fan comfort shawl, done in Adrian's handdyed yarn.
Thursday night's knitalong at Abundant Yarn was so fun, with 7 or 8 of us knitting together in the cafe and comparing yarns and color cards and dishing about patterns and learning about berry picking from Sarah and Kathy.
I drew 3 names by assigning numbers between 0 and 1 to all eligible knitalongers, then using excel's random number function to choose three winners.
larissmix.typepad.com /stitch_marker/knitting_shawls/index.html   (1653 words)

  
 360 Font : MyFonts   (Site not responding. Last check: 2007-10-26)
Distorted fonts are great but are mostly not very practical - 360 is an attempt to create a simple distorted font that can be used far beyond a few logos or headlines.
Each 360 character averages roughly half the number of sharp angles of a regular sans serif.
360 was chosen as a name because it can be used as an everyday font, all year round, and because 360 has so many unusual angles that don't conform to normal font conventions.
www.myfonts.com:8080 /Article10301.html   (235 words)

  
 The Standard Bearer: December 15, 1998
He is earnestly looking for a place in which he can worship in a manner consistent with his new found faith and which is not charismatic.
Having understood this, we can see the second distinction between the office of deacon and the other offices: the work of the deacons, specifically, is that of serving tables, that is, being sure that the poor of the church are cared for.
Perhaps she can "make do" just as a mother who works outside the home can "make do" taking care of the material needs of the family.
www.prca.org /standard_bearer/volume75/1998dec15.html   (16631 words)

  
 Joseph Hansen: Vietnam and World Politics (Winter 1966)   (Site not responding. Last check: 2007-10-26)
It could have been a decisive catalyst in a number of countries where the class struggle is not far from a revolutionary level right now.
No combination of capitalist powers can now successfully challenge the US, even if they were capable of uniting and could be lured into resisting American inducements for a common front against the colonial revolution and against the workers states.
And actions that appear small can become greatly magnified when they are disseminated by television or radio in regions where the level of tension in the class struggle is on the rise.
www.marxists.org /archive/hansen/1966/xx/vietnam.htm   (7227 words)

  
 International Socialist Review   (Site not responding. Last check: 2007-10-26)
The memory of the working class can only be embodied in organizations that are capable of carrying on the tradition.
Or they can learn from their own hard experience that the best way to defend themselves is to unite and raise the conditions of all.
Anyone who can argue today that the working class is “bought off” simply does not know what happened to the working class at the end of the last century and the beginning of this one.
www.isreview.org /issues/50/marxism.shtml   (5950 words)

  
 Informed Comment
This is not a time when men and women of good conscience can afford to be politically correct or be guided by anything except a willingness to discard every "cherished" belief or opinion which stands in the way of an accurate and fearless appraisal of the world around us.
I can only assume that the record of my lectures and writings, wherein I have come to be known as a man who backs up everything he says and presents it to his audiences for verification, had something to do with how the Board of Governors reached its decision to extend this invitation.
The numbers of people involved in both of those projects far exceeded the numbers of people within the United States government required to execute 9/11.
www.juancole.com /2006/09/maliki-in-tehran-for-oil-deal-60.html   (13980 words)

  
 The On-Line Encyclopedia of Integer Sequences
If the function f(k) is evaluated at colossally abundant numbers (A004490), we find that beyond the 58th colossally abundant number, which is over 10^76, the function is greater than f[12] and increasing at each subsequence colossally abundant number.
Use A073751 to generate colossally abundant numbers not in A004490.
T. Noe, Plot of the function f for the first 200 colossally abundant numbers
www.research.att.com /~njas/sequences/A076633   (213 words)

  
 Dom Nozzi's Big Island Adventures
After this aerial treat, the guidebook leads us to a small, 8 x 14 spring- and ocean-fed volcanic pool of water that was like a bathtub, with clear water at 90 degrees.
We spot a large number of moray eel, hawksbill turtle, crab, and numerous jet-fl sea urchins.
The coral, abundant and colorful (albeit small) tropical fish, dramatic lava canyons, and high-visibility water are outstanding.
www.afn.org /~savanna/big.htm   (3584 words)

  
 Keith Briggs: : abundant numbers
My purpose here is to show some new numerical data concerning these numbers.
L. Alaoglu and P. Erdös: On highly composite and similar numbers, Trans.
Annotated and with a foreword by J.-L. Nicholas and G. Robin, Ramanujan J. Nicolas: Ordre maximal d'un éléement du groupe des permutations et highly composite numbers, Bull.
keithbriggs.info /abundant.html   (179 words)

  
 AMERICAN MATHEMATICAL MONTHLY - June/July 2001
The authors were investigating finite groups possessing a property related to certain subsets of the group, when suddenly the problem became entangled in number theory.
Many standard problems in calculus can be easily solved by an innovative visual approach that makes no use of formulas.
It shows how subtangents can be used in practice to draw tangent lines, and it reveals an unexpected connection between pursuit curves and exponential curves.
www.maa.org /pubs/monthly_jj02_toc.html   (497 words)

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