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Topic: John Machin

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	Machin biography
		Machin, as well as Keill and Taylor, sat on the committee and, of course, found in favour of Newton.
		Machin's Quadrature of the Circle appeared as an appendix to Maseres' A Dissertation on the Use of the Negative Sign in Algebra: Containing a Demonstration of the Rules Usually Given Concerning it, published in London in 1758.
		Machin's work on the series for has proved of lasting importance, but most of his other contributions are not of the same high standard.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Machin.html (1156 words)

	Brook Taylor
		Brook Taylor, (1685—1731), English mathematician, was the son of John Taylor of Bifrons House, Kent, by Olivia, daughter of Sir Nicholas Tempest[?], Bart., of Durham, and was born at Edmonton in Middlesex on August 18, 1685.
		He entered St John's College, Cambridge, as a fellow-commoner in 1701, and took degrees of LL.B. and LL.D. respectively in 1709 and 1714.
		Having studied mathematics under John Machin[?] and John Keill[?], he obtained in 1708 a remarkable solution of the problem of the "centre of oscillation," which, however, remaining unpublished until May 1714[?] (Phil.
	www.ebroadcast.com.au /lookup/encyclopedia/br/Brook_Taylor.html (585 words)

	John Machin
		The earliest John Macham is recorded in head right grants based on his transportation to the colonies by Christopher Branche in 2 grants dated 12 /8/1635 and 5/8/1638.
		This may be the same person or an earlier relative of John Machin, above, recorded later with his family in the Christ Parish Church records of Middlesex County, Virginia between 1679 to 1683.
		John Micham is himself a Justice of the Peace and militia man at this time.
	www.next1000.com /family/EC/machen.john1.html (1024 words)

	Machin
		On 30 November 1710 Machin was elected a Fellow of the Royal Society.
		Taylor was a friend of Machin and that the two corresponded about mathematical questions.
		Newton was planning for a third edition, he received two independent solutions of the problem of the motion of the nodes of the moon's orbit, one by John Machin, the other by Henry Pemberton.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Machin.htm (963 words)

	Portal de matematica
		Machin had explained to Taylor in Child's Coffeehouse how to use Newton 's series to solve Kepler 's problem and also how Halley 's method finds roots of polynomial equations.
		However, in, Machin's paper The Laws of the Moon's Motion According to Gravity which was included in Andrew Motte's 1729 English translation of Newton 's Principia is described at "a poor performance".
		Machin's Quadrature of the Circle appeared as an appendix to Maseres ' A Dissertation on the Use of the Negative Sign in Algebra: Containing a Demonstration of the Rules Usually Given Concerning it, published in London in 1758.
	www.learn-math.info /historyDetail.do?id=Machin (1122 words)

	Machin's Formula
		The first truly attractive formula for coputing decimal digit of PI was found by John Machin (1680-1752), in 1706.
		The adventage of Machin`s formula is that the second term converes very rapidly and the first is nice for decimal arithmetic.
		No indication is given in Jones's work, however, as to how Machin discovered his series expansion for p so when de Moivre wrote to Johann Bernoulli on 8 July 1706 telling him about Machin's series for PI he suggested that Johann Bernoulli might tell Jakob Hermann about Machin's unproved result.
	milan.milanovic.org /math/english/pi/machin.html (715 words)

	Reference.com/Encyclopedia/John Machin
		John Machin, (1680—June 9, 1751), a professor of astronomy at Gresham College, London, is best known for developing a quickly converging series for π in 1706 and using it to compute π to 100 decimal places.
		The benefit of the new formula, a variation on the Gregory/Leibniz series (π/4 = arctan 1), was that it had a significantly increased rate of convergence, which made it a much more practical method of calculation.
		John Machin served as secretary of the Royal Society from 1718 to 1747.
	www.reference.com /browse/wiki/John_Machin (202 words)

	John Lewis Machen
		John and Leah remain at least through 1836 when their last child is born.
		They are demanding the return of the slave Celia and the two children born to her since leaving South Carolin in 1843 to settle a debt the Machen's have in Alabama.
		John Machin a Negro Sara and her ch.
	www.next1000.com /family/EC/machen_johnlew.html (1035 words)

	Regional Consultants for YOUNG & Associates
		John Machin has more than 30 years' experience in the building industry, has been with YOUNG and Associates since 1998.
		A licensed general contractor with extensive earthquake reconstruction experience, John is from Thousand Oaks, Calif. He is based in Los Angeles.
		In addition to holding membership in the Ventura Country Contractors Association, John also is a disaster relief volunteer for the American Red Cross.
	www.youngonline.com /about/bios2.htm (644 words)

	PI - Machin's Method (Site not responding. Last check: 2007-11-03)
		He combined his formula with the Taylor series expansion for the inverse tangent of x.
		Machin's formula remained the primary tool of Pi-hunters for centuries.
		As late as 1973, Guilloud and Bouyer used a version of it to compute one million digits of Pi on a CDC 7600.
	ic.net /~jnbohr/java/Machin.html (129 words)

	IDE Corp. - Innovative Designs for Education
		John, with the help of two full time assistants, runs a classroom that incorporates technology to differentiate instruction and help with classroom management.
		John has a BA in Education and a MA in Special Education.
		John believes that if the students have a safe and comfortable environment, the learning will be easier and will follow suit.
	www.idecorp.com /teacher/teacherFeature_098.htm (601 words)

	[Patches] [ python-Patches-529408 ] fix random.gammavariate bug #527139
		John, is there something you object to in what Raymond committed (not the process, but the result)?
		---------------------------------------------------------------------- Comment By: John Machin (sjmachin) Date: 2002-05-13 21:08 Message: Logged In: YES user_id=480138 Raymond, If you had read the copious notes that I posted on the original bug report, you would have seen that I had (a)figured out what was wrong and (b) promised a patch.
		John, if you're going to remove stdgamma, you need also to remove its (string) name from the module's __all__ list (right before the _verify() function).
	mail.python.org /pipermail/patches/2002-May/008291.html (801 words)

	PI in JavaScript (Site not responding. Last check: 2007-11-03)
		As late as 1973, Guilloud and Bouyer used a variation of it to compute one million digits of Pi on a CDC 7600.
		This program uses arrays of multiple precision digits for the two series terms, for their sum, and for the series.
		In the end, John Machin was never cured.
	ic.net /~jnbohr/javascript/ScriptPi.html (139 words)

	Paul's Page of Pi: Gregory, Leibniz, and Machin (Site not responding. Last check: 2007-11-03)
		In 1706, John Machin introduced a variation on the Gregory/Leibniz series with a significantly increased rate of convergence, which made it a much more practical method of calculation.
		I wrote a program in C++ which is based on Machin's forumla, and I used it to calculate the first 8192 digits of
		Since Machin's time many many other arctangent formulae for pi have been discovered.
	www.escape.com /~paulg53/math/pi/greg (366 words)

	Stephen Machin at IDEAS (Site not responding. Last check: 2007-11-03)
		Mirko Draca & Stephen Machin & John Van Reenen, 2006.
		Machin, Stephen & Alan Manning & Lupin Rahman, 2003.
		Berman, Eli & Bound, John & Machin, Stephen, 1997.
	ideas.repec.org /e/pma110.html (3900 words)

	Brook Taylor
		English mathematician, the son of John Taylor, of Bifrons House, Kent, by Olivia, daughter of Sir Nicholas Tempest, Bart., of Durham, and was born at Edmonton in Middlesex on the 18th of August 1685.
		Having studied mathematics under John Machin and John Keill, he obtained in 1708 a remarkable solution of the problem of the "center of oscillation", which, however, remaining unpublished until May 1714 (Phil.
		11), his claim to priority was unjustly disputed by John Bernoulli.
	www.nndb.com /people/460/000098166 (602 words)

	CSV module for Python - Object Craft
		Fixed bug in memory allocation of internal parser buffer - thanks to John Machin for pointing this out.
		When a parsing exception is raised during parse(), the parser will automatically call clear() discard accumulated fields and state the next time you call parse().
		Thanks again to John Machin for suggesting this.
	www.object-craft.com.au /projects/csv/news.html (491 words)

	Pi with Machin's formula (Lisp) - LiteratePrograms
		A simple way to compute the mathematical constant π ≈ 3.14159 with any desired precision is due to John Machin.
		Finally, the main function, which uses Machin's formula to compute π using the necessary level of precision:
		To avoid rounding errors in the result, we use 10 guard digits internally during the calculation.
	en.literateprograms.org /Pi_with_Machin's_formula_(Lisp) (268 words)

	Amazon.com: "John Machin": Key Phrase page (Site not responding. Last check: 2007-11-03)
		The arctan formula used most frequently was first developed by John Machin (1680-1752),...
		John Machin in 1706 obtained the identity 717 1 l - = 4arctan - - arctan 239' which he then used to...
		John Machin (1680-1751), mathematician and Secretary to the RS.
	www.amazon.com /phrase/John-Machin (497 words)

	Machin Family Genealogy Forum
		Tracing the Machins who are related to Robson and Duncan - Echo VanderWal 4/19/05
		Machin - 1881 found in Tixall, Stafford - Anna Arrol 10/06/03
		John MACHIN - Hannah BARWELL/ William MACHIN - Sarah SMITH - Sherill Mills 7/06/02
	genforum.genealogy.com /machin (156 words)

	John Machin Summary
		English mathematician who made significant progress towards understanding the number pi (π;), which he calculated to over 100 decimal places.
		Machin developed one of the first efficient trigonometric identities that could be used to calculate the value of pi to a large number of places in a reasonable amount of time.
		John Machin at the MacTutor History of Mathematics archive.
	www.bookrags.com /John_Machin (247 words)

	[Patches] [ python-Patches-529408 ] fix random.gammavariate bug #527139
		---------------------------------------------------------------------- Comment By: John Machin (sjmachin) Date: 2002-03-19 00:05 Message: Logged In: YES user_id=480138 Attached is test script test_gamma.py.
		---------------------------------------------------------------------- Comment By: John Machin (sjmachin) Date: 2002-03-18 23:57 Message: Logged In: YES user_id=480138 Patch file random2.dif uploaded.
		---------------------------------------------------------------------- Comment By: John Machin (sjmachin) Date: 2002-03-18 07:46 Message: Logged In: YES user_id=480138 OK; I understand the problems with the patch.
	mail.python.org /pipermail/patches/2002-May/008289.html (619 words)

	Annoyances.org - Failed in what way? nt (Windows XP Discussion Forum)
		On Wednesday, October 22, 2003 at 12:25 pm, John Machin wrote:
		(John Machin: Wednesday, October 22, 2003 at 12:25 pm)
		Please do not plagiarize; redistributing these pages without permission is strictly prohibited.
	www.annoyances.org /exec/forum/winxp/1066850828 (146 words)

	Re: Another Newbie with a question
		> > Because there is no way known that the real John Machin would > suggest that a market which has set new highs is more likely to tank > than a market which trades at 10% below an all-time high with a > MACD of 0.76 a triple fat bottom and an inverted candlestick.
		> > The real John Machin would know that markets are much more > likely to set new highs than new lows (an event which has not > been witnessed for 500 years) > What a day !
		I was sitting at my desk studying the Melbourne Cup form guide (DUI 1st from ARG 2nd from AUI 3rd) when 5 masked gunmen burst through the window.
	www.talkaboutinvestments.com /group/aus.invest/messages/79168.html (708 words)

	Re: Creating a segregated portion with SMSF
		On 8/06/2006 12:18 PM, John Wright wrote: > "John Machin" wrote [edited] >> You may like to read this, and then follow the link in the middle of the >> page.
		However, allocating the $36.1K according to opening balances give $18K to each member -- hardly fair and reasonable.
		Cheers, John > > The page - like most ATO pages - is very confusing, does not clearly state > who needs the certificates and who doesn't...
	www.talkaboutinvestments.com /group/aus.invest/messages/96435.html (362 words)

	Rob Herr History - Machin
		GUISEPPE (JOSEPH) MACHIN was born October 19, 1866 in Italy, and died October 31, 1923 in Pittsburgh, PA.
		She married (2) GIOVANNI SCANAVINO AKA John Scott.
		I was told she was 5 or 6 when she died in a house fire, I estimate her death to be in 1909, because Laura Mae (her next younger sister) was named after her.
	www.geocities.com /robherr/history/machin.html (355 words)

	Stephen Machin Citations at IDEAS (Site not responding. Last check: 2007-11-03)
		John Cawley & David C. Grabowski & Richard A. Hirth, 2004.
		John Ermisch & Marco Francesconi & Thomas Siedler, 2004.
		John Ermisch & Marco Francesconi & Thomas Siedler, 2005.
	ideas.repec.org /e/c/pma110.html (10080 words)

	Memorial to Lieutenant-Commander John Lee Machin (Site not responding. Last check: 2007-11-03)
		Biographical Information: John was the son of George and Grace Machin.
		He entered the Navy sometime after the First World War and was promoted to Lieutenant by June 1925.
		Hood Chapel, Church of St John the Baptist, Boldre, Hampshire
	www.hmshood.com /crew/memorial/m/MachinJL.html (209 words)

	a unicode question?
		John Machin This question come form the flow codes.
		I use the PyXml to build a DOM tree.
		John Machin > > This question come form the flow codes.
	www.codecomments.com /message884037.html (338 words)

	Re: problem uploading ZIP file tp PyPI
		On Mon, 16 May 2005 22:11:49 +1000, richard <[EMAIL PROTECTED]> wrote: >John Machin wrote: >> richard wrote: >>> John Machin wrote: >>> > Sorry in advance if this is not the correct forum...
		>>> >> >> Tried that, when I was trying to register and getting strange error >> messages about the user name, like "John Machin" and "John_Machin" were >> not "ascii" [it finally permitted "sjmachin"].
		The response volume >> could not be likened to that of a fire-hose.
	www.mail-archive.com /python-list@python.org/msg28604.html (315 words)

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