Peak (mathematics)

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Topic: Peak (mathematics)

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In the News (Wed 30 Dec 09)

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	Peak - Wikipedia, the free encyclopedia
		Peak (mathematics), an (n-3)-dimensional element of a polytope
		Hubbert peak theory or peak oil, a theory that oil production worldwide is expected to reach a maximum level after which it will decline
		Pyramidal peak, a mountaintop that has been sculpted by erosion to form a point
	en.wikipedia.org /wiki/Peak (180 words)

	Chinese Math
		Considered by many to represent the peak in Chinese mathematics
		Matteo Ricci, the Jesuit Priest, arrived in China in 1582 and was perhaps responsible for the first interaction between European and Chinese mathematics.
		Shang numerals, Chinese mathematics texts, the discovery of zero.
	www.the-gallery-of-china.com /chinese-math.html (180 words)

	Fuzzy Geostat
		The membership function is increasing towards the peak and decreasing away from it.
		This determination could be explained in Fuzzy Logic words as the grade of membership (between 0 and 1) of the probability to exceed certain threshold, and then applying this function as the fuzzy boundary of being contaminated or not.
		It was intended to show that IK results could be seen as grades of membership under the concept of exceeding certain threshold, and also that such membership once transformed (or modeled) into a function can be used to interact with other membership function using logical operators and fuzzy controls.
	www.eng.vt.edu /eng/mining/nietofolder/fuzzy/fuzzy.htm (180 words)

	Larry Polansky
		He founded Frog Peak Music in New Hampshire in 1982, an experimental composers' collective, and has since served as its co-director.
		Polansky studied with Ron Riddle at New College in Florida, at the University of California at Santa Cruz, where he earned his BA in mathematics and music in 1976, and with James Tenney at York University in Toronto in 1977.
		As a guitarist, he has often played new music, notably with guitarist Nick Didkovsky and in a trio with Kui Dong and Christian Wolff, and he also plays gender (Indonesian metallophone), mandocello, mandolin, and other instruments.
	composers21.com /compdocs/polanskl.htm (694 words)

	September 13 - Annual Faculty Art Exhibit At Pikes Peak Community College
		The Downtown Studio Campus is located just minutes away from Bijou Exit 142 off I-25, west of the Penrose Public Library, at 100 West Pikes Peak Avenue.
		The Downtown Studio Campus offers a multitude of general education programs that will transfer to four-year colleges and universities, including courses in such areas as computer applications, mathematics, philosophy, psychology, literature, history, sociology, anthropology, art history, and communications.
		The Downtown Studio Campus of Pikes Peak Community College is getting bigger!
	www.hispanianews.com /archive/2002/09/05/10.htm (694 words)

	Search Results for Luzin
		Luzin 's school was at its peak during the years 1922 to 1926, but then Luzin concentrated on writing his second monograph on the theory of functions and spent less time with the young mathematicians in the school.
		Luzin always had an interest in the history of mathematics and late in his career he wrote important articles on Newton and on Euler.
		A L Shields, Luzin and Egorov, The Mathematical intelligencer 9 (4) (1987), 24-27.
	www-groups.dcs.st-and.ac.uk /history/Search/historysearch.cgi?SUGGESTION=Luzin&CONTEXT=1 (694 words)

	John F. Nash, Jr. - Autobiography
		It seems conceivable that if either de Giorgi or Nash had failed in the attack on this problem (of a priori estimates of Holder continuity) then that the lone climber reaching the peak would have been recognized with mathematics' Fields medal (which has traditionally been restricted to persons less than 40 years old).
		Also the mathematics faculty were encouraging me to shift into mathematics as my major and explaining to me that it was not almost impossible to make a good career in America as a mathematician.
		So I shifted again and became officially a student of mathematics.
	www.nobel.se /economics/laureates/1994/nash-autobio.html (694 words)

	Cauchy [Definition]
		Cauchy determinant In mathematics, the Cauchy determinant in linear algebra, named after Augustin Cauchy, is the determinant of the complex n×n matrix CM with entries...
		Cauchy distribution The Cauchy-Lorentz distribution is a probability distribution with probability density function where x0 is the location parameter, specifying the location of the peak of the distribution, and γ is the scale parameter which specifies the half-width at half-maximum (HWHM).
		Cauchy had two brothers: Alexandre Laurent Cauchy ( 1792 – 1857), who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849 ; and Eugène François Cauchy ( 1802 – 1877), a publicist who also wrote several mathematical works.
	www.wikimirror.com /Cauchy (694 words)

	Joseph Fourier
		Fourier treated the initial distribution of temperatures around the ring as a superposition of many simple sinusoids that varied from peak to trough to peak an integer number of times along the circumference of the ring.
		Fourier returned to work as assistant to his old mathematics teacher, Bonard, at the École Royale Militaire, later the Collège Nationale, in Auxerre.
		Joseph Fourier was born in 1768 in Auxerre in the département of Yonne; a town steeped in history.
	www.todayinsci.com /F/Fourier_JBJ/FourierPoliticianScientistBio.htm (4839 words)

	The Bridges of Königsberg
		Königsberg was probably at its peak in the late 18th century.
		He has never seen the bridges, but will come back with his wife, also a mathematics teacher, when he thinks border crossings will be easier.
		It is well-known now that he showed why the tour was not possible, and that his proof developed the branch of mathematics known as Graph Theory, of fundamental importance to networks as we find them in computers today.
	www.amt.canberra.edu.au /koenigs.html (4839 words)

	Saudi Aramco World: Departments : Suggestions for Reading
		Using a text discovered in an Istanbul library, the author examines the psychological thought of Ibn Sina (called Avicenna in the West), the 11th-century Persian philosopher and physician, author of more than 100 works on theology, logic, medicine, and mathematics.
		This book is a re-publication of The Golden Peak with the addition of 50 pages of prologue and epilogue, and it is warm, eloquent and more topical than ever.
		Sympathetic, non-judgmental and willing to accept even when she could not understand, Jamie wrote of her experiences in spare, water-clear prose in The Golden Peak (1992).
	www.saudiaramcoworld.com /departments/suggestions.for.reading.htm (4839 words)

	What Makes Beautiful Minds
		"Nash would climb another mountain altogether and from a distant peak would shine a searchlight back on the first peak." Or as Nash himself put it, he tended "to think that the thing to do is to get away from what other people are doing and not to follow directly in anyone's recent work."
		Nash thought of mathematics as a ferociously competitive sport.
		Nash's thesis was just one of a spectacular string of problems that he solved before he turned 30 and the onset of delusions and hallucinations sapped his creative powers.
	www.fastcompany.com /magazine/89/beautiful-minds.html (1553 words)

	John F. Nash, Jr. - Autobiography
		It seems conceivable that if either de Giorgi or Nash had failed in the attack on this problem (of a priori estimates of Holder continuity) then that the lone climber reaching the peak would have been recognized with mathematics' Fields medal (which has traditionally been restricted to persons less than 40 years old).
		So I was prepared actually for the possibility that the game theory work would not be regarded as acceptable as a thesis in the mathematics department and then that I could realize the objective of a Ph.D. thesis with the other results.
		And it was this idea which in turn, when I was a graduate student at Princeton, led to my interest in the game theory studies there which had been stimulated by the work of von Neumann and Morgenstern.
	nobelprize.org /economics/laureates/1994/nash-autobio.html (1553 words)

	Joseph Fourier
		Fourier treated the initial distribution of temperatures around the ring as a superposition of many simple sinusoids that varied from peak to trough to peak an integer number of times along the circumference of the ring.
		Fourier returned to work as assistant to his old mathematics teacher, Bonard, at the École Royale Militaire, later the Collège Nationale, in Auxerre.
		Joseph Fourier was born in 1768 in Auxerre in the département of Yonne; a town steeped in history.
	www.todayinsci.com /F/Fourier_JBJ/FourierPoliticianScientistBio.htm (1553 words)

	Encyclopedia: Correlation function
		The system of claim 13 wherein the logic is configured to circularly cross- correlate the first and second combined correlation functions to form a circular cross- correlation function, locate a peak of the circular cross-correlation function, and derive the estimate of the frequency shift parameter from the location of the peak.
		In mathematics, and in particular statistics, the Pearson product-moment correlation coefficient (r) is a measure of how well a linear equation describes the relation between two variables X and Y measured on the same object or organism.
		Correlation functions used in astronomy, financial analysis, quantum field theory and statistical mechanics differ only in the particular stochastic processes they are applied to.
	www.nationmaster.com /encyclopedia/Correlation-function (1435 words)

	Authors starting with Frank, James
		Works include: Golf Magazine's Complete Book of Golf Instruction; James Frank's Colorado; A Portrait of Peak's Pike Country; A Portrait of Pikes Peak Country; and A Portrait of Rocky Mountain National Park
		James E. Doran, Hodson, Frank E. Works include: Mathematics and Computers in Archaeology
		Works include: Coffee in the Gourd; Coronado's Children: Tales of Lost Mines and Buried Treasures of the Southwest; Coronado's Children: Tales of Lost Mines and Burried Reasures of the Southwest; Cow People; Happy Hunting Ground; and others...
	isbn.nu /author/Frank,%20James (1435 words)

	Untitled Document
		The illustration will hopefully enhance understanding and peak interest for many students on the topic of a sequence, as well as mathematics related to real life.
		The historical significance of studying the Fibonacci sequence is that when the Liber abaci was published, it had a significant impact on European mathematics.
		This numeral system fascinated Fibonacci so much that he published a book in 1202 called the Liber abaci in which he introduced the Hindu Arabic numeral system into Europe.
	jwilson.coe.uga.edu /EMAT4500/AssignmentPages/MaryBethWiggins/4650lesson2.html (784 words)

	Various Obits for Daniel Lewin (Akamai cofounder onboard AA-11)
		Leighton said that usage of the Akamai network was five times higher than the previous peak, during the 2000 presidential election and recount.
		Tom and Danny and a group at Tom's lab worked on this project using Defense Department grants to look at network routing problems and traffic routing problems and whether mathematics could be used to solve network, or in this case, Internet, congestion problems.
		Sagan: Danny came to Massachusetts Institute of Technology in the mid-1990s as a graduate student in computer theory and mathematics to study with [Akamai Co-founder and Chief Scientist] Tom Leighton, a professor at MIT.
	www.freerepublic.com /focus/f-news/524651/posts (784 words)

	OldFile__beyer_.htm
		Applications are invited for this prestigious named chair of applied mathematics in the University of Manchester, previous holders of which include Sir Horace Lamb FRS, Sydney Goldstein FRS, Sir James Lighthill, FRS and Fritz Ursell, FRS.
		The University intends to appoint to this post an applied mathematician whose eminence and distinction are in keeping with this tradition and who will contribute to, and provide leadership in the enhancement of, research vitality in applied mathematics.
		It has a major international airport and excellent rail and motorway links with the rest of the U.K. The Peak District, Lake District and Snowdonia National Park are all within easy reach.
	www.ma.man.ac.uk /mirror/www/misc/OldFile__beyer_.htm (959 words)

	OldFile__beyer_.htm
		The University intends to appoint to this post an applied mathematician whose eminence and distinction are in keeping with this tradition and who will contribute to, and provide leadership in the enhancement of, research vitality in applied mathematics.
		Applications are invited for this prestigious named chair of applied mathematics in the University of Manchester, previous holders of which include Sir Horace Lamb FRS, Sydney Goldstein FRS, Sir James Lighthill, FRS and Fritz Ursell, FRS.
		It has a major international airport and excellent rail and motorway links with the rest of the U.K. The Peak District, Lake District and Snowdonia National Park are all within easy reach.
	www.ma.man.ac.uk /mirror/www/misc/OldFile__beyer_.htm (959 words)

	Works Citing the On-Line Encyclopedia of Integer Sequences
		Bergeron and S. Plouffe, Computing the Generating Function of a Series Given its First Few Terms, Experimental Mathematics, Volume 1, (1992), 307-312.
		Deutsch, S. Feretic and M. Noy, Diagonally convex directed polyominoes and even trees: a bijection and related issues, Discrete Mathematics, 256 (2002), 645-654.
		Bergeron, S. Mykytiuk, F. Sottile, and S. van Willigenburg, Shifted quasisymmetric functions and the Hopf algebra of peak functions, math.CO/9904105, 1999.
	www.research.att.com /~njas/sequences/cite.html (959 words)

	Advanced diffraction
		The incoming X-ray is considered as a plane wave, with peaks in the electric field occurring on planes perpendicular to the wave vector, separated by the wavelength.
		In crystallographic applications, we can define the phase of the wave to be zero at the origin of time and space, so that it has a peak at the origin at time zero.
		This page is a revised version of the first half of basic diffraction theory, aimed at a deeper understanding of the mathematics and physics.
	www-structmed.cimr.cam.ac.uk /Course/Adv_diff1/Diffraction.html (4324 words)

	Giuseppe Peano - Wikipedia, the free encyclopedia
		Peano played a key role in the axiomatization of mathematics and was a leading pioneer in the development of mathematical logic.
		After his mother died in 1910, Peano divided his time between teaching, working on texts aimed for secondary schooling including a dictionary of mathematics, and developing and promoting his and other artificial languages, becoming a revered member of the international auxiliary language movement.
		By 1901 Peano was at the peak of his mathematical career.
	www.wikipedia.org /wiki/Peano (1186 words)

	Significant Scots - Thomas Drummond
		The hour had past, and the sentry was about to leave his post, when the light suddenly burst out like a brilliant star from the top of the hitherto invisible peak, to the delight of the astonished spectators, who were watching with intense anxiety from the other station of survey.
		As these new duties required Drummond to reside in London during the winter, he availed himself of the opportunity not only to improve himself in the higher departments of mathematics, but also to study the science of chemistry, which he did with his wonted energy and success.
		It was not in mathematics alone, also, that he excelled, but in every other department of science to which he turned his attention; for such was his intellectual tenacity and power of applications, that he never relinquished a subject until he had completely mastered it.
	www.electricscotland.com /HISTORY/other/drummond_thomas.htm (1186 words)

	John H. Thomas
		Thomas has held visiting appointments at the Max Planck Institute for Astrophysics, the Department of Theoretical Physics at the University of Oxford, the Sacramento Peak Observatory, the High Altitude Observatory (HAO), University of Sydney, LAEFF in Madrid, and the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge.
		Thomas also carries out solar observations at the National Solar Observatory/Sacramento Peak and uses data from various solar space missions.
		Thomas was a Guggenheim Fellow (1993-94) and is a past Chair of the Solar Physics Division of the American Astronomical Society.
	spider.pas.rochester.edu /mainFrame/people/pages/Thomas.html (307 words)

	Root mean square - Wikipedia, the free encyclopedia
		In mathematics, root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity.
		110 V or 240 V) are almost always quoted in RMS values, and not peak values.
		Furthermore, because RMS implies some form of averaging, expressions such as "peak RMS power", sometimes used in advertisements for audio amplifiers, are meaningless.
	en.wikipedia.org /wiki/Root_mean_square (578 words)

	Giuseppe Peano - Wikipedia, the free encyclopedia
		By 1901 Peano was at the peak of his mathematical career.
		Peano played a key role in the axiomatization of mathematics and was a leading pioneer in the development of mathematical logic.
		After his mother died in 1910, Peano divided his time between teaching, working on texts aimed for secondary schooling including a dictionary of mathematics, and developing and promoting his and other artificial languages, becoming a revered member of the international auxiliary language movement.
	en.wikipedia.org /wiki/Peano (578 words)

	Biography- Geoff Thompson
		Geoff Thompson is president of Bear Peak Software Inc., a Java training and consulting company specializing in graphical user interfaces and web-based server-side programming.
		Geoff has over 25 years of experience in the software industry and earned his Masters degree in Computer Science and Bachelors degree in Mathematics from the University of Virginia.
		Geoff teaches for the University of Colorado Continuing Education and has provided consulting and training for a variety of technology companies including Lucent Technologies, Qwest, StorageTek, and IBM.
	www.colorado.edu /ContinuingEducation/bios/GThompson.htm (131 words)

	Playing both sides, Erica Klarreich
		Although investigators could model the flashing ratchet mathematically, the mathematics for doing so is formidable.
		Since the troughs of the potential are offset to the right, as the particle drifts, it has a better chance of crossing the peak of the potential to its immediate right than the one to its immediate left.
		Brownian motion makes it drift a little to the right or left, so that when the momentary burst of energy subsides, the kinesin molecule may slide down into the nearest neighboring trough—say, to the right.
	www.nasw.org /users/klarreich/parrondo.htm (3800 words)

	Townies (Reviews for Pluperfect/The Brotherhood of Sleeping Car Porters)
		Things peak with the uptempo "How Children Learn Mathematics," a crafty song whose effervescent harmonic shifts brings to mind early 90's favorites Indian Bingo.
		The Brotherhood of Sleeping Car Porters is a more oblique, lo-fi proposition.
		The four-song piece was recorded by Bill Ding's John Hughes III on a farm, and it shows, as the slowed, removed Townies sound makes a quiet, almost rural appearance here.
	www.littlevoice.com /townies/pluperfect.html (409 words)

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Topic: Peak (mathematics)

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