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Topic: Shannon number

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	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-10)
		Date: 05/12/2004 at 07:26:00 From: James Subject: Convert a big number to a small formula I need to find a formula that takes X (a large number) and creates another expression which equals X but is shorter in length than X. For example, take 390,625 which uses six characters.
		Consider the quantity of numbers of the form a^b, where a and b are only one digit each.
		If you pick a random number with 100 digits, which is not likely to have many patterns, then you'll probably need about 100 digits to represent it exactly, no matter how you try to compress it.
	mathforum.org /library/drmath/view/65726.html (784 words)

	Claude Elwood Shannon Summary
		Shannon's work on information systems not only had important implications in the whole theory of communications but was of considerable value in the development of computers.
		Shannon and his famous electromechanical mouse Theseus, named after the Greek mythology hero of Minotaur and Labyrinth fame, and which he tried to teach to come out of the maze in one of the first experiments in artificial intelligence.
		Yet Shannon, whose genius many scientists consider at par with Einstein's, was oblivious to the marvels of the digital revolution because his mind was ravaged by Alzheimer's disease, his wife mentioned in the same Star-Ledger article.
	www.bookrags.com /Claude_Elwood_Shannon (3395 words)

	Claude Elwood Shannon - Wikipedia, the free encyclopedia
		Shannon was a distant relative of Thomas Edison.
		Shannon came to the Massachusetts Institute of Technology (MIT) in 1956 to join its faculty and to conduct work in the Research Laboratory of Electronics (RLE).
		However, Shannon was oblivious to the marvels of the digital revolution because his mind was ravaged by Alzheimer's disease.
	en.wikipedia.org /wiki/Claude_E._Shannon (1974 words)

	Against Gravity - sculptor and installation artist Tom Shannon, various galleries and museums Art in America - Find ... (Site not responding. Last check: 2007-10-10)
		A number of Shannon's objects have practical applications and have been granted patents from the U.S. government--such as the Telephysical Phone (1973), which transmits both voice and touch, or the Synchronous World Clock (1986), which tells us the time of day throughout the world at a single glance.
		Shannon attended Fuller's memorable lectures while a student at the Art Institute of Chicago (where the artist received an MFA in 1971).
		Later, designing a similar object to represent the distance between the earth and the moon (Moons, 1987), Shannon found that the gap is equal to 109 moon diameters, a remarkable correspondence that led him to focus on similar factors of 109 in the mass and distance ratios of several other planetary bodies.
	www.findarticles.com /p/articles/mi_m1248/is_4_87/ai_54432706 (846 words)

	Shannon: an artist porcelain doll
		Shannon is a precious 26" artist porcelain ballerina doll.
		Shannon is number 2 of a limited edition of 50.
		Shannon is an original creation in dress and detail by Darlyne Davis from commercially available porcelain molds and will not be duplicated in detail and dress.
	www.storytimedolls.net /shannon.html (155 words)

	Engaging Whole Number Knowledge for Rational Number Learning Using a Computer-Based Tool (Site not responding. Last check: 2007-10-10)
		If the number of counters placed on the in-tray is divisible by the fraction denominator, d, and the Go button is clicked, an observer sees a group of d counters removed, one at a time, from the in-tray; simultaneously a distinctive sound is heard.
		Shannon and Elliot were fluent in counting composite units where cumulative totals were to be determined as rows of objects were progressively uncovered.
		Shannon used the strategy of relating multiplication facts with the relevant number of items in each row and column, or added or subtracted a row or column from a previously computed display.
	www.crme.soton.ac.uk /publications/gdpubs/HuntingDavisPearn.html (10840 words)

	Shannon Entropy (Site not responding. Last check: 2007-10-10)
		The Shannon entropy equation provides a way to estimate the average minimum number of bits needed to encode a string of symbols, based on the frequency of the symbols.
		Shannon entropy provides a lower bound for the compression that can be achieved by the data representation (coding) compression step.
		Shannon entropy makes no statement about the compression efficiency that can be achieved by predictive compression.
	www.bearcave.com /misl/misl_tech/wavelets/compression/shannon.html (421 words)

	Heroes of Cyberspace: Claude Shannon
		Claude Shannon isn't well known to the public at large, but he is one of a handful of scientists and thinkers who made our world of instant communications possible.
		Shannon used mathematical proofs to show that you could use this measure of entropy to measure the actual capacity of a channel.
		Shannon himself has made statements about machines of the future possibly being superior to humans, placing him in a camp with certain other dour late-twentieth-century writers and scientists such as Vernor Vinge and Hans Moravec.
	www.skypoint.com /~gimonca/shannon.html (2291 words)

	Zeran v. Diamond Broadcasting Inc.
		Shannon first saw the e-mail either late in the evening on the day it was sent or early the next morning, May 1, 1995.
		Shannon was an AOL member and had given his screen name out over the air to enable his listeners to send messages to him.
		Plaintiff next argues that even if knowing or reckless conduct is required, the conduct of Shannon and Spinozi, in accepting the posting at face value and failing to verify its authenticity, is sufficient to avoid summary judgment, notwithstanding Plaintiff's expert's failure to use the term "reckless" in describing their actions.
	www2.bc.edu /~herbeck/cyberlaw.zeranvdiamond.html (1256 words)

	Television Without Pity » The Bachelor » Love Means Never Having To Say You're Crazy
		Shannon acts like, because Aaron gave Helene his phone number, if he marries somebody else, that means the other woman was the "second choice" behind Helene.
		He gave Helene his number, and Shannon therefore assumes that Aaron wants to talk to her because he wants to marry her.
		I guess Shannon and Kyla are upset to discover that they were never really in the running and are upset that they didn't see it coming.
	www.televisionwithoutpity.com /articles/content/a5027/index-9.html (673 words)

	Mattitude — Matt Hardy and Mfer’s Crash and Shannon Moore
		Shannon Moore and Crash Holly are seen standing in front of Matt Hardys house in Cameron, North Carolina and they knock on the door and about five minutes pass and than they knock again but continue to get no response.
		To be honest Shannon though as soon as I get my chance to take the WCW Title trust me I will and than I will be the most decorated wrestler in the two companies and everyone will have no choice but to respect your hero.
		Shannon and Crash both of you are to wash my car and make it look perfect and that's all I need to tell you in my eyes.
	members.tripod.com /ice_cold_diablo/Mattitude3.html (1751 words)

	Shannon and Jake: An Application of Medical Ethics Principles - Case Study Collection - National Center for Case Study ...
		In terms of this case, by not counseling Shannon on responsible sexual behavior, the physician would be opening the door to other sexually transmitted infections, potentially with long-term or fatal consequences.
		Justice: The physician using justice as a guiding principle may be most concerned with the fact that the character in the case is a minor and the person she is seeing is over the age of 18.
		However, as a teen like Shannon reaches adulthood, the principle of autonomy must also be considered, leading her physician to inform Shannon of her risks and let her make her own decisions.
	www.sciencecases.org /shannon_jake/shannon_jake_notes.asp (1879 words)

	RuggratzRacing2 (Site not responding. Last check: 2007-10-10)
		Shannon Ibison owner/driver of the number 2i street stock.Shannon is
		the number 18 SIMS and his youngest son plans on racing next season.We are lucky to have Freddy and his Lovely wife Leah be apart of our team.
		Daniel Payne owner/driver of the number 99 bomber.Daniel is married to Paige and
	members.aol.com /ruggratzracing (251 words)

	Shannon Noll : iSOUND.COM™
		SHANNON NOLL is one of the most popular male singers in Australia at the moment, he has also proven to be one of Australias most popular touring artists, having performed several sold-out tours from 2004-2006 consisting of hundreds of concerts.
		Shannon has also enjoyed being the recipient of many public-voted awards such as THE NICKELODEAN KIDS CHOICE AWARDS as well as numerous awards for his music videos.
		Shannon gives freely of his time and talents towards many charities in Australia, even starting his own charitable cause to create safer working conditions for farm workers, brought about by the fact that Shannon lost his own Father in a shocking farming accident several years ago.
	www.isound.com /shannon_noll/forum/14176 (529 words)

	RTÉ.ie Sport - Shannon back on top after victory
		Champions Shannon rose back to the top of the AIB League Division One standings thanks to a two-try 13-8 victory against Blackrock College at Thomond Park.
		Back row Colm McMahon, Shannon's captain for the season, scored a try on his first start since breaking the fourth metatarsal bone in his right foot in October.
		Shannon number 10 Delaney squared it up at 8-apiece on 63 minutes and Cronin's try, five minutes later, proved to be the final act.
	www.rte.ie /sport/2006/0128/shannon.html (251 words)

	Data Compression -- Section 3
		The result is an instantaneously decodable code since the total length of a codeword is exactly one greater than twice the number of zeros in the prefix; therefore, as soon as the first 1 of a codeword is encountered, its length is known.
		The number of bits transmitted using this mapping would be 161, which does not compare well with the 117 bits transmitted by the Huffman code of Figure 1.3.
		The number of bits transmitted using this mapping would be 153, which is an improvement over the Elias code of Figure 3.6 but still compares poorly with the Huffman code of Figure 1.3.
	www.ics.uci.edu /~dan/pubs/DC-Sec3.html (4346 words)

	Ozark NSR: A Homeland and Hinterland (Chapter 7)
		In real numbers, the U.S. Census indicated that the population of Carter County went from 2,168 in 1880 to 4,659 in 1890 and that Shannon County, the physically larger of the two, grew from 3,441 to 8,898.
		The number of new farms continued to grow in these two counties from 1900 to 1920 despite an overall decline in the number of farms in the five-county area composed of Oregon, Reynolds, Ripley, Carter, and Shannon counties.
		Regardless of the number of pupils there was generally one teacher to a school and that teacher had to cope with students ranging in age anywhere from four to twenty.
	www.cr.nps.gov /history/online_books/ozar/hrs7.htm (7369 words)

	Shannon Court Report December 8th - Indymedia Ireland
		Against this we will also need to list the number of cases taken by the state against those criminals who passed through Shannon airport on their way to commit crimes in Iraq, Afghanistan and elsewhere, including crimes of torture and mass murder.
		The number of people killed by criminals allowed pass unhindered through Shannon, and indeed invited and significantly assisted to pass through Shannon airport is now well in excess of 100,000 people.
		We need another volunteer to compile details of the numbers of people killed in Iraq and Afghanistan, or people killed elsewhere whose deaths were associate with these wars or the so-called war on terror.
	www.indymedia.ie /article/73376 (3300 words)

	Maryland Sea Grant Marine Education: Biofilms & Biodiversity - How (Site not responding. Last check: 2007-10-10)
		Use the numbers to estimate various measures of biodiversity.
		All you do is count of the number of species found in a community (e.g., the number of the species found on a biofilm plate).
		In ecological studies, this order is characterized by the number of individuals observed for each species in the sample plot (e.g., biofilm on a plexiglass disc).
	www.mdsg.umd.edu /Education/biofilm/diverse.htm (1373 words)

	UMC; Administration; President James Shannon (1850-1856); James Shannon Papers
		James Shannon (1799-1859), the second President of the University of Missouri (1850-56) was born, raised and educated in Ireland.
		Shannon's correspondence reflects his vehement opposition to the Abolition movement, Freemasonry, and the Whig political party.
		Shannon continued to serve as the first president of this institution until he died of a heart ailment, at the age of sixty, in 1859.
	muarchives.missouri.edu /c-rg1-s1.html (3364 words)

	DIVERSITY INDICES
		Methods: The Shannon diversity index (H) is another index that is commonly used to characterize species diversity in a community.
		The primary rain forest not only has a greater number of species present, but the individuals in the community are distributed more equitably among these species.
		Because diversity indices provide more information than simply the number of species present (i.e., they account for some species being rare and others being common), they serve as valuable tools that enable biologists to quantify diversity in a community and describe its numerical structure.
	www.tiem.utk.edu /~gross/bioed/bealsmodules/shannonDI.html (905 words)

	[No title]
		VILLAS OF SHANNON I.D. As a result of a survey conducted by representative(s) of the Department, it has been determined the following violations occurred.
		Staff to check (R-1) frequently." Interview with Z-3 on 1/19/99 revealed, "Estimated temperatures for Shannon, Illinois on 1/7/99 were 4 degrees Fahrenheit for the high and -18 Fahrenheit for the low.
		Per interview with staff from the weather bureau, it was revealed that the temperature in Shannon on 1/12/99 at 5:30 a.m.
	www.idph.state.il.us /about/nursing_home_violations/shannon.txt (956 words)

	[No title]
		This descriptor is used only when it was not possible to seek in the output zip file, e.g., when the output zip file was standard output or a non seekable device.
		The value/10 indicates the major version number, and the value mod 10 is the minor version number.
		number of the disk with the start of the central directory: (2 bytes) The number of the disk on which the central directory starts.
	help-site.com /local/ZIPNOTE.TXT (2220 words)

	CHAPTER 16
		Shadae and Shannon bith work at the same firm so Shannon’s number was on there too.
		From the moment we met, it was obvious that I was attracted to Shannon and Shadae knew that.
		I mean, I knew Shannon was reluctant to go out with me but I wanted her too much to really take that on.” AJ said.
	www.angelfire.com /boybands/shalabsb/dare16.htm (526 words)

	A Mathematical Theory of Communication (Site not responding. Last check: 2007-10-10)
		Claude Shannon's ``A mathematical theory of communication'' was first published in two parts in the July and October 1948 editions of the Bell System Technical Journal [1].
		Prefaced by Warren Weaver's introduction, ``Recent contributions to the mathematical theory of communication,'' the paper was included in The Mathematical Theory of Communication, published by the University of Illinois Press in 1949 [4].
		Weaver and C. Shannon, The Mathematical Theory of Communication, Urbana, Illinois: University of Illinois Press, 1949, republished in paperback 1963.
	cm.bell-labs.com /cm/ms/what/shannonday/paper.html (356 words)

	Shannon number - Wikipedia, the free encyclopedia
		The Shannon number is an estimation of the game-tree complexity of chess.
		It was first calculated by Claude Shannon, the father of information theory.
		The biggest number of simultaneous possible legal moves : the composition of Nenad Petrovic by Reinhard A. Scharnagl
	en.wikipedia.org /wiki/Shannon_number (206 words)

	Sharon Shannon, Spellbound: The Best of Sharon Shannon
		There are two photos of Sharon Shannon in this release's CD booklet, with a third picture on the back of the CD case itself.
		The bigger surprise, however, is the tenor saxophone that accompanies the accordion, bouzouki and fiddle.
		Traditional and traditional-sounding numbers do reign supreme on this CD, but, yet again, there sometimes is a little twist.
	www.rambles.net /shannon_spellbound99.html (631 words)

	Amazon.com: What About Me?: Music: Shannon Noll (Site not responding. Last check: 2007-10-10)
		I am Shannon Noll's Number "ONE" fan, from Australia and I would love to say that "What about Me" is fantastic.
		Shannon is the soul of the Australian people with the country supportive of him.
		Shannon was the runner up Australian Idol just in case anyone wants to know.
	www.amazon.com /What-About-Me-Shannon-Noll/dp/B00015YUYQ (617 words)

	The Ballard Brothers' Official Site
		Shane and Shannon actually picked their numbers when they joined a team called the Red Wings, part of the Bay Harbor Hockey league, when they were only 12 years old.
		Shannon also took his number from one worn by another King's player, Doug Smith.
		Oh yes, Shannon is a budding musician, and has played guitar now for over 10 years in "Synthetic Mary", a rock band he originally formed with childhood friends.
	www.theballardbrothers.freeservers.com /trivia.htm (735 words)

	CHAPTER 23
		He clearly remembered AJ saying that he was going to turn the tables and take advantage of Shannon just as she did with him.
		He had to admit that he thought AJ was wrong about Shannon’s reasons for getting involved with him, which made it all the more important for him to get into contact with her.
		But he needed to make sure that Shannon was the one that came out to do the analysis so he called Shadae up and got her to help him out so Shadae got her mother to persuade Shannon to go and she agreed.” Nick finished.
	www.angelfire.com /boybands/shalabsb/dare23.htm (856 words)

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