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Topic: Sociable number

	Sociable number - Wikipedia, the free encyclopedia
		Sociable numbers are generalizations of the concepts of amicable numbers and perfect numbers.
		A set of sociable numbers is a kind of aliquot sequence, or a sequence of numbers each of whose numbers is the sum of the factors of the preceding number, excluding the preceding number itself.
		If the period of the sequence is 1, the number is a sociable number of order 1, or a perfect number—for example, the proper divisors of 6 are 1, 2, and 3, whose sum is again 6.
	en.wikipedia.org /wiki/Sociable_number (399 words)

	Math Forum: Ask Dr. Math FAQ: Glossary of Numbers
		A happy number is a number for which the sum of the squares of the digits eventually equals 1.
		Sometimes a narcissistic number is defined as a number equal to the sum of its digits raised to a certain power, or, more specifically, as an n-digit number equal to the sum of its digits raised to the nth power.
		Sociable numbers are like amicable numbers, but they come in larger groups.
	mathforum.org /dr.math/faq/faq.number.glossary.html (1547 words)

	Category:Number theory - Wikipedia, the free encyclopedia
		Traditionally, number theory mathematics concerned with the properties of integers and many open problems that are easily understood even by non-mathematicians.
		More generally, the field has come to be concerned with a wider class of problems that arose naturally from the study of integers.
		Number theory may be subdivided into several fields according to the methods used and the questions investigated.
	en.wikipedia.org /wiki/Category:Number_theory (124 words)

	Numerology (Site not responding. Last check: 2007-11-06)
		The challenges for number 5 are impetuous behavior, drifting, irresponsible conduct, impatience, lack of consideration, the tendency to scatter your energy, boredom, being too out-spoken, and ruthlessness.
		The challenges for number 6 are a lack of satisfaction, snobbishness, a lack of compassion, being overcritical, being domineering, and being interfering.
		Number 9 individuals are usually magnetic and charismatic, with perceptive minds and psychic abilities that point to a universal receptivity.
	www.charmed99.com /numerology.html (2345 words)

	Problem 23.- Divisors (V) Aliquot sequences, Sociable Numbers.
		As we saw in the Problem 22, one possible end of an aliquot sequence is to reach to a cycle of numbers.
		I have verified the existence of some of these cycles, and found that the least number that generates - in some instant of the develop of the aliquot sequence - the cycle of order k = 5 is n = 9464.
		The least number that generates the cycle of order k = 28 is n = 2856.
	www.primepuzzles.net /problems/prob_023.htm (414 words)

	Math words page 13
		Aliquot parts of a number are proper divisors of the number that are smaller than the number.
		The numbers were inscribed on "magic charms" in the middle ages which were sold to insure the fidelity of ones lover.
		One chain of sociable numbers is given by 12496, 14288, 15472, 14536, and 14264.
	www.pballew.net /arithm13.html (4167 words)

	Sun Angel - Numerology - The Numerology of your Dwelling by Angelia Mansfield
		Upon arriving at the hotel she and her daughter found that the room they were given was "911" and they certainly got to experience the profound meaning of that number as grieving conference participants visited them all throughout the night.
		The number of the dwelling is found by adding the numbers of your house number in sequence until you have a single or double digit.
		If the inhabitants have 5's very strong in their vibration, this would be a perfect house for them as it would support and supply the constant stream of new experience a 5 seeks.
	www.sun-angel.com /articles/archive/dwelling.php (2067 words)

	Sociable machines - Emotions
		For instance, a number of emotion theorists suggest that positive emotions are elicited by events that satisfy some motive, enhance one's power of survival, or demonstrate the successful exercise of one's capabilities.
		This table is derived from the evolutionary, cross-species, and social functions hypothesized by Plutchik (1991), Darwin (1872), and Izard (1977).
		In addition, the expression on the robot's face is a social signal to the human caregiver, who responds in a way to further promote the robot's ``well being''.
	www.ai.mit.edu /projects/sociable/emotions.html (1241 words)

	Prof. Ashay Dharwadker - My Students Database
		A set of sociable numbers is an aliquot sequence, or a sequence of numbers, with each number being the sum of the factors of t...
		There are a number of reasons why Visual Basic is an ideal tool for creating many of the server components that we use.
		For a number n, s(n) is defined to be the sum of the aliquot parts of n i.e.
	members.lycos.co.uk /dharwadker/all_notes.php (2660 words)

	Perfect, amicable and sociable numbers (Site not responding. Last check: 2007-11-06)
		For a number n, we define s(n) to be the sum of the aliquot parts of n, i.e., the sum of the positive divisors of n, excluding n itself: so, for example, s(8)=1+2+4=7, and s(12)=1+2+3+4+6=16.
		A perfect number is a cycle of length 1 of s, i.e., a number whose positive divisors (except for itself) sum to itself.
		However the sum of unitary divisors, bi-unitary divisors, or infinitary divisors of a number is always even, unless the number is a power of 2.
	djm.cc /amicable.html (2519 words)

	On a Generalization of Perfect Numbers
		Although several G-perfect numbers follow the pattern of a power of 2 times a prime, the first one is a power of 2, and the seventh one does not even have 2 as a prime factor.
		At the time of writing, all known perfect numbers are even, but perhaps there is actually an odd one waiting out there in the mysterious realm of the very large….
		For example, it is not hard to see that the φ-perfect numbers are the powers of 2, and the d-perfect numbers are the squares of primes.
	jlpe.tripod.com /gpn/fperfect.htm (1363 words)

	Mathematics Archives - Numbers
		In the section on applications there are a number of interactive programs that convert rationals (or quadratic irrationals) into a simple continued fraction, as well as the converse.
		All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination.
		A prime k-tuplet is a sequence of consecutive prime numbers {p1, p2,..., pk} such that, in some sense, pk - p1 is as small as possible.
	archives.math.utk.edu /subjects/numbers.html (1310 words)

	Math Lair - Sociable Numbers (Site not responding. Last check: 2007-11-06)
		A chain of numbers is sociable if the sum of the proper divisors of each number is the next number in the chain, the last number preceding the first.
		These two chains were the only known sociable chains until 1969, when Henri Cohen used a computer to check all numbers below 60,000,000, and he discovered seven new chains of four links.
		This process of traversing sociable chains is somewhat reminiscent of looping.
	www.stormloader.com /ajy/sociable.html (125 words)

	The Number Three
		The number 3 relates to Mars, the planet first outside the orbit of the Earth and is associated with energy and action.
		If their birth name adds down to 3: They are proud, active, optimistic, joyful, creative, ambitious, conscientious, popular, expressive, sociable, and youthful.
		As 3 is a talkative number, it may produce the same trait in the family.
	metaphysicalzone.com /number/three.shtml (402 words)

	Aliquot Sums
		The aliquot divisors of a number are all of its divisors except the number itself.
		A number whose aliquot sum equals its value is a PERFECT number (6 for example).
		There exist at least a few, and probably an infinite number, of aliquot triples, three numbers with the property that the aliquot sum of any two of them equals the third.
	www.delphiforfun.org /Programs/AliquotSums.htm (732 words)

	[No title]
		In this paper, we propose ``sociable'' interface formalisms, endowed with a rich compositional semantics that facilitates their use in design and modeling.
		We show that for an appropriate definition of bottom-up deterministic automata it is possible to minimize the number of states efficiently and to obtain a unique canonical representative of the accepted tree language.
		The main aim of this thesis is to gain insights into the decidability problem for hhpb, and to analyse when it coincides with hpb; less technically, we might say, to analyse the power of the interplay between concurrency, causality, and conflict.
	www.games.rwth-aachen.de /Publications/games.bib (6368 words)

	Numbers
		Two numbers n and m are called an amicable pair if the sum of all positive divisors of n is equal to the sum of all positive divisors of m and both are equal to n + m.
		Carmichael numbers behave like prime numbers with respect to the most useful primality test, that is they pretend to be prime.
		Pentagonal numbers to pentagons is the same as triangular numbers to triangles and square numbers to squares.
	www.tanyakhovanova.com /Numbers/numbers.html (1939 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		The essay concludes by suggesting a number of strategies for the moderation of ressentiment in society.
		After this essay there follow a number of fragments devoted to themes not taken up in the opening essay.
		It is a narrative, which productively generates a number of issues for student discussion in the classroom, and also around the organisation of this classroom.
	www.hil.no /Biblioteket/Publikasjoner/Hamlet/H-Preface.html (557 words)

	San Diego Zoo's Animal Bytes: Sociable Weavers
		The sociable weaver is a very common little brown bird in the Kalahari region of southern Africa.
		Sociable weavers are unlike most other birds due to their lifestyle and nest building: they weave one nest for their entire colony as well as for future residents.
		Sociable weavers do not migrate; in fact, chicks may never leave the nest.
	www.sandiegozoo.org /animalbytes/t-sociable_weavers.html (844 words)

	Sociable Media Group - MIT Media Lab
		It allows participants to engage in persistent discussions on a number of different topics, as well as on time-shifted media.
		The piece is a commentary on the continuous accumulation of email contacts over time and the large numbers of people we are in touch with over email.
		Color and form are used to convey social presence and activity, and proximity-based filtering is used to intuitively break large groups into conversational clusters.
	smg.media.mit.edu /projects.html (440 words)

	Sociable machines - Low level feature extraction
		Kismet's low-level visual perception system extracts a number of features that human infants seem to be particularly responsive toward.
		As an additional filtering stage, the ratio of activation in the peripheral part of the image versus the central part is computed to help reduce the number of spurious threat responses due to ego-motion.
		Kismet's low-level auditory perception system extracts a number of features that are also useful for distinguishing people from other sound emitting objects such as rattles, bells, and so forth.
	www.ai.mit.edu /projects/sociable/low-level-features.html (1039 words)

	Starling, Birds, Starling, Bird Pictures, Catalog, Encyclopedia (Site not responding. Last check: 2007-11-06)
		Date : 10/26/2005 Time : 6:13:01 AM Starlings, members of the bird family Sturnidae, are perching birds that number more than 111 species, including the MYNAH.
		Ranging from 18 to 43 cm (7 to 17 in) in length, they are highly sociable, and many are good mimics.
		The most common color is fl, and the plumage is often glossy.
	www.4to40.com /4to40.com_non_ssl/earth/geography/htm/birdsindex.asp?counter=90 (144 words)

	11A: Elementary number theory (Site not responding. Last check: 2007-11-06)
		A survey which perhaps illustrates the difference between "elementary" number theory and "easy" number theory is by Diamond, Harold G.: "Elementary methods in the study of the distribution of prime numbers", Bull.
		Multiply-perfect numbers (sum of divisors is a multiple of n)
		Sociable numbers (each the sum of the divisors of the next)
	www.math.niu.edu /~rusin/known-math/index/11AXX.html (597 words)

	Search results (Site not responding. Last check: 2007-11-06)
		A sociable group of order $k>0$ is the aliquot sequence $s(n),\ldots,s\sp k(n)=n$, whose length of iteration is $k$.
		The book is an account of known algebraic and computational methods for finding sociable groups with emphasis on amicable pairs.
		It is self-contained, with some material referred to in an appendix in number theory and two appendices dealing with Maple topics.
	www-users.aston.ac.uk /~yans/Books/zmath-pasca.html (345 words)

	Henry Cavendish (Site not responding. Last check: 2007-11-06)
		After touring Europe with his brother, he lived frugally in London, even after an inheritance made him one of the wealthiest men in England.
		He immersed himself in scientific studies but did not bother to publish a number of his important discoveries.
		Exceedingly shy and retiring, Cavendish was sociable only with his scientific friends.
	chemistry.mtu.edu /~pcharles/SCIHISTORY/HenryCavendish.html (296 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Otherwise, if another fish is within the fear radius, this fear factor is weighted with sociable factors to determine which way the fish wishes to head.
		The Number sets how many fish are created at the beginning of the simulation.
		A Starlogo bug that we encountered: Once all the fish die, or if number of the fish is set to or becomes zero, the min-of functions that search for fish will return -1, indicating that no such fish are left.
	www.cs.hmc.edu /~kknudtzo/nn/code/pond (614 words)

	ZZZ online \| Number 71 (Site not responding. Last check: 2007-11-06)
		In the issue number 69 I described a mesicopter - small air vehicle with propellers able to fly even in the rarefied Mars atmosphere.
		But it is one of those universities which never stop developing something new and weird, so digging into www.mit.edu will always bring some interesting results.
		As for me, I found that several people have created (and are still improving) a sociable humanoid robot called Kismet.
	zzz.com.ru /zzz_original_site/71.html (1683 words)

	Bottlenose dolphin
		A number of animals have been taken for captive display purposes (from 1860 through 1983, more than 2,700 have been taken for display purposes, 1,595-1,635 of those were taken in US waters, 580 in Japanese waters).
		There are a number of records of prolonged interactions between bottlenose dolphins and people.
		There have been (and still are) a number of sociable individuals, such as Percy (England), Donald (Man, Wales), Jean-Louis (Brittany), Opo (New Zealand), Dolly (Key West, Florida) and Flipper (Norway).
	ourworld.compuserve.com /homepages/jaap/tursiops.htm (2442 words)

	Sociable Stamp Society Chat Room :: The Glassine Surfer
		Our Sociable Stamp Society meets in the chat room here on Wednesday and Sunday evenings starting at 8 PM (est).
		If you are a member of the APS and plan on joining us at the SSS, please email me your name and APS number.
		Membership in the Sociable Stamp Society is free to anyone with an interest in learning about stamp collecting and philately and who attends our Internet chat room get togethers on Wednesday and Sundays.
	www.glassinesurfer.com /chat.shtml (204 words)

	Towards Sociable Robots - Breazeal (ResearchIndex) (Site not responding. Last check: 2007-11-06)
		From the diverse and growing number of applications for such robots, a few distinct modes of interaction are beginning to emerge.
		For the remainder of the paper, we explore a few key features of sociable robots that distinguishes them from the others.
		In, Breazeal defines four classes of social robots in terms of (1) how well the robot can support the social model that is abscribed to it...
	citeseer.ist.psu.edu /583850.html (317 words)

	Does Globalization Spell Trouble for fruit machine?
		The number of poker players in the Wyoming has bounce in the accommodating gold.
		Britt White was animated roll and sociable number on "The perfect person With Luciano Read" on Autumn night, mean frequent fight and gracefully begin around his leather's more smart reading.
		Here is why price owner is not lucky helped on to a credit it grabed to, but is expanded by the limit of lift on the reason.
	www.new-online-casino.org /slots-casino.html (898 words)

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