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Topic: 1729

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	The Dullness of 1729
		The famous anecdote is that during one visit to Ramanujan in the hospital at Putney, Hardy mentioned that the number of the taxi cab that had brought him was 1729, which, as numbers go, Hardy thought was "rather a dull one".
		At this, Ramanujan perked up, and said "No, it is a very interesting number; it is the smallest number expressible as a sum of two cubes in two different ways." This was the sort of thing that prompted Littlewood to say "every positive integer was one of [Ramanujans'] personal friends".
		So if anyone ever tells me that 1729 is a dull number, I intend to affect a moment of contemplation and then say "Not at all, it is the first occurrance of all ten digits consecutively in the decimal representation of e".
	www.mathpages.com /home/kmath028.htm (848 words)

	1729 - The Infosphere
		1729 is known as the Hardy-Ramanujan number, after a famous anecdote of the British mathematician G. Hardy regarding a hospital visit to the Indian mathematician Srinivasa Ramanujan.
		I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen.
		Because in base 10 the number 1729 is divisible by the sum of its digits, it is a Harshad number.
	futurama.overt-ops.com /index.php?title=1729 (433 words)

	[No title]
		Lynch [Page 4] RFC 1729 Using the Z39.50 in the Internet Environment December 1994 Real-world implementations need to be prepared to deal with both TCP ABORT and CLOSE anyway, so this approach presents no additional problems, other than the somewhat ambiguous nature of the type of association termination.
		In the OSI environment, the partners in a Z39.50 association are assumed to agree, either through presentation negotiation as part of association establishment, or later, dynamically, as part of the PRESENT process (through the use of the alter presentation context function at the presentation layer), on which record syntaxes the two entities commonly know.
		A number of implementations are already employing this field, and interoperable implementations might be wise to include code which at least ignores the presence of such fields rather than considering their presence an error (in contravention of the standard).
	www.ietf.org /rfc/rfc1729.txt (2476 words)

	1729 (number) - Wikipedia, the free encyclopedia
		1729 is known as the Hardy-Ramanujan number, after a famous anecdote of the British mathematician G.
		The quotation is sometimes expressed using the term "positive cubes", as the admission of negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a factor of 1729):
		The physicist Richard Feynman demonstrated his abilities at mental calculation when, during a trip to Brazil, he was challenged to a calculating contest against an experienced abacist.
	en.wikipedia.org /wiki/1729_(number) (776 words)

	A Simple Refutation of Gödel's Theorem
		To write down the number 1729, therefore, formal logic uses 1730 symbols -- and, by Gödel's numbering system, each of these symbols must be assigned a numerical value of either 1 or an integer greater than 1.
		And then, generalising, he could have a general provability predicate which used the existential quantifier, and said just that there was a number which was the Gödel number of a sequence that was a proof of the well-formed formula whose Gödel number was the second number.
		These two manoeuvres enable Gödel to refer to well-formed formulae by numbers, and to represent provability as a property of numbers definable in terms of the simple arithmetical operations of addition and multiplication, though the definitions are themselves very complicated.
	homepage.mac.com /ardeshir/Godel-SimpleRefutation.html (2104 words)

	Sums of Powers - Ramanujan and his Number 1729 - Graphics Version
		To see the significance of Ramanujan's Number and one other identity of his in this equality scroll down to the end of the page.
		1729 as we all know is 12^3 + 1^3 = 10^3 + 9^3.
		In the example below, 1729 is contained in a beautiful manner.
	users.tellurian.com /hsejar/maths/1729-SOP/index.htm (338 words)

	UDP 1729 - Port Protocol Information and Warning!
		UDP Port 1729 may use a defined protocol to communicate depending on the application.
		If you have information on UDP port 1729 that is not reflected in our database, please leave a comment with the help desk.
		Like TCP (Transmission Control Protocol), UDP is used with IP (the Internet Protocol) but unlike TCP on Port 1729, UDP Port 1729 is connectionless and does not guarantee reliable communication; it's up to the application that received the message on Port 1729 to process any errors and verify correct delivery.
	www.auditmypc.com /port/udp-port-1729.asp (358 words)

	AS-1729 Antenna
		The MX-6707 base tuning unit uses capactance and inductance to match the antenna, not lossy resistance as is used on the newer matching bases that are now needed for frequency hopping radios like the SINCGARS.
		There is also a mast adapter that allows the AS-1729 to be mounted on a GRA-4 or RC-292 mast.
		The AS-2731/GRC, NSN 5985-01-017-0785, as described in TM 11-5985-355-13 is very similar in appearance to the AS-1729, but has an operating frequency range of 30 to 80 MHz.
	www.pacificsites.com /~brooke/AS1729.shtml (1395 words)

	The Novel in Europe, 1729
		A Select Collection of Novels in Six Volumes (1729).
		The Life of Madam de Beaumont, a French Lady; Who lived in a Cave in Wales above fourteen Years undiscovered, being forced to fly France for her Religion; and of the Cruel Usage she had there.
		The Secret History of the Court of Augustus Caesar London: Printed, and Sold by the Booksellers of London and Westminster, 1729.
	www.pierre-marteau.com /resources/novels/novels-1729.html (1251 words)

	Sums of Powers - Ramanujan and his Number 1729 - Text Version
		Sums of Powers - Ramanujan and his Number 1729 - Text Version
		Since this is the text version of this page, I am going to write the equality in a different manner unlike in the Graphics Version.
		The same applies to any interchange you make with any of the triples.
	users.tellurian.net /hsejar/maths/1729-SOP/1729-SOPtext.htm (740 words)

	F H (Francis Hoffman) wood-engravings bibliography
		Dublin : Printed for E. Smith,and sold by the booksellers of Great-Britain and Ireland, 1729.
		London : Printed by W. Botham, for James and John Knapton, 1729.
		A paraphrase on the four evangelists : wherein for the clearer understanding of the sacred history, the whole text and paraphrase are printed in separate columns over-against each other.
	web.uflib.ufl.edu /spec/rarebook/fh/bib1729.htm (140 words)

	Anglo-Spanish War, 1727-1729
		The British maintained their hold on Gibraltar with little difficulty, and the conflict degenerated into a war of words until both sides eventually lost interest.
		The end of conflict was sealed by the Treaty of Sevilla (1729) leaving Britain in possession of Gibraltar.
		A year later the last of the Farnese dukes of Parma died, leaving that succession problem still unresolved.
	www.regiments.org /wars/18thcent/27spain.htm (614 words)

	Prime Curios!: 1729 (Site not responding. Last check: 2007-11-06)
		The largest number which is divisible by its prime sum of digits (19) and reversal (91) happens to be Ramanujan's famous taxi-cab number (1729 = 12
		It is the smallest number expressible as the sum of two positive cubes in two different ways.
		If you reverse the middle digits of this pseudoprime you get 1279 and 2
	primes.utm.edu /curios/page.php/1729.html (71 words)

	From Revolution to Reconstruction: Documents: A Modest Enquiry into the Nature and Necessity of Paper Currency (1729)
		A Modest Enquiry into the Nature and Necessity of Paper Currency (1729)
		There is no Science, the Study of which is more useful and commendable than the Knowledge of the true In terest of one's Country; and perhaps there is no Kind of Learning more abstruse and intricate, more difficult to acquire in any Degree of Perfection than This, and there fore none more generally neglected.
		Much less will they lay it out in advancing new Manufactures; nor is it possible new Manufactures Should turn to any Account, where there is not Money to pay the Workmen, who are discouraged by being paid in Goods, because it is a great Disadvantage to them.
	odur.let.rug.nl /~usa/D/1726-1750/franklin/paper.htm (1142 words)

	Ling Lung - Issue No. 241, 1936, Page 1729 (Site not responding. Last check: 2007-11-06)
		Ling Lung - Issue No. 241, 1936, Page 1729
		Page 1729 of 1721 - 1800 (9 of 80 pages)
		1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737
	www.columbia.edu /dlc/linglung/1936/241/1729.html (45 words)

	Fine Art for Sale $100-500 - Page 1729 - absolutearts.com
		Fine Art for Sale $100-500 - Page 1729 - absolutearts.com
		Browse over 26248 works of contemporary art for sale in the price range US$100.00 - $500.00.
		To view a work by any of these contemporary artists simply click on the image or browse the artist's portfolio.
	www.absolutearts.com /portfolio/for_sale/p100-500-1729.html (82 words)

	The New York Van Slyke Bible 1729
		Beautiful engravings (100 or more) fill its pages, and you can easily imagine how impressive it must have been for the Van Slyke family to gather around.
		The publication date of the Bible is 1729, but the first genealogical entry that remains is dated 1794 and written by Adrian C. Van Slyke.
		Adrian's baptism record is found in Schenectady Reformed Dutch Church on February 07, 1779.
	www.olivetreegenealogy.com /nn/surnames/vslyke_bible.shtml (558 words)

	Storm Prediction Center Mesoscale Discussion 1729
		Press enter or select the go button to submit request
		MESOSCALE DISCUSSION 1729 NWS STORM PREDICTION CENTER NORMAN OK 0334 PM CDT MON JUL 11 2005 AREAS AFFECTED...NE/ECNTRL CO AND SE WY/WRN NEB/FAR NW KS CONCERNING...SEVERE THUNDERSTORM POTENTIAL VALID 112034Z - 112230Z TSTMS EXPECTED TO DEVELOP INVOF FRONT RANGE/HIGHER TERRAIN AND SPREAD SSEWD REMAINDER OF THE AFTERNOON/EARLY EVENING.
		A SEVERE WATCH WILL LIKELY BE NEEDED IN THE NEXT HOUR OR TWO.
	www.spc.noaa.gov /products/md/2005/md1729.html (222 words)

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