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Topic: Alfred Haar

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Haar wavelet

	Alfred
		Alfred, New York Alfred, NY is both a town and a village nested in Allegany County, New York.
		Alfred Delp Alfred Delp was born on Jesuit.
		Alfred of Saxe-Coburg and Gotha Alfred, Duke of Saxe-Coburg and Gotha and 1893.
	www.brainyencyclopedia.com /topics/alfred.html (2507 words)

	Haar wavelet -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		The Haar wavelet is the first known (A small wave on the surface of a liquid) wavelet and was proposed in 1909 by (additional info and facts about Alfred Haar) Alfred Haar.
		The disadvantage of the Haar wavelet is that it is not (additional info and facts about continuous) continuous and therefore not (additional info and facts about differentiable) differentiable.
		The 2×2 Haar matrix that is associated with the Haar wavelet is
	www.absoluteastronomy.com /encyclopedia/H/Ha/Haar_wavelet.htm (121 words)

	Discrete wavelet transform - Open Encyclopedia (Site not responding. Last check: 2007-10-22)
		For an input represented by a list of $2^n numbers, the$ Haar wavelet transform may be considered to simply pair up input values, storing the difference and passing the sum.
		This formulation is based upon the use of recurrence relations to generate progressively finer discrete samplings of an implicit mother wavelet function, each resolution being twice that of the previous scale.
		In her seminal paper, Daubechies derives a family of wavelets, the first of which is the Haar wavelet.
	open-encyclopedia.com /DWT (347 words)

	Alfred Haar (Site not responding. Last check: 2007-10-22)
		Haar travelled to Germany in 1904 to study at Göttingen and there he studied under Hilbert's supervision, obtaining his doctorate in 1909.
		Haar then taught at Göttingen until 1912 when he returned to Hungary and held chairs at the university in Kolozsvár (which is now Cluj in Romania), Budapest University and Szeged University.
		Haar is best remembered for his work on analysis on groups.
	www.isye.gatech.edu /~brani/images/haar.html (235 words)

	Haar (Site not responding. Last check: 2007-10-22)
		In 1903, in his final year in school, Alfréd Haar won first prize in the Eötvös contest in mathematics.
		Haar travelled to Germany in 1904 to study at Göttingen and there he studied under Hilbert's supervision, obtaining his doctorate in 1909 with a dissertation entitled Zur Theorie der orthogonalen Funktionensysteme.
		Haar, together with Riesz, rapidly made a major mathematical centre from the new university.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Haar.html (227 words)

	Mehr zu "Haar-Wavelet" bei Metando (Site not responding. Last check: 2007-10-22)
		Das Haar-Wavelet ist das erste in der Literatur bekannt gewordene Wavelet und wurde 1909 von Alfred Haar vorgeschlagen.
		The disadvantage of the Haar wavelet is that it is not continuous and..
		The Haar wavelet is the first known wavelet and was.....2×2 Haar matrix that is associated..the Haar wavelet is..
	www.metando.de /search_Haar-Wavelet_0.html (481 words)

	Géza Grünwald
		It was again Lajos Erdős who drew Alfréd Haar's attention to Grünwald.
		Haar invited him to an interview which was successful and he was accepted into the University of Szeged's mathematics program.
		Haar died on March 16, 1933, and that year Grünwald used the code name "Haar" for his paper submitted to the student competition.
	www.cs.wisc.edu /~deboor/HAT/grunwald.html (1570 words)

	Wavelets: Seeing the For... - An Idea with No Name
		The first entrant in the wavelet derby was a Hungarian mathematician named Alfred Haar, who introduced in 1909 the functions that are now called “Haar wavelets.” These functions consist simply of a short positive pulse followed by a short negative pulse.
		Although the short pulses of Haar wavelets are excellent for teaching wavelet theory, they are less useful for most applications because they yield jagged lines instead of smooth curves.
		For example, an image reconstructed with Haar wavelets looks like a cheap calculator display, and a Haar wavelet reconstruction of the sound of a flute is too harsh.
	www.beyonddiscovery.org /content/view.page.asp?I=1954 (488 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		This is Haar's thesis, written under the supervision of David Hilbert.
		Haar, A., Die Minkowskische Geometrie und die Annäherung an stetige Funktionen, Math.
		Haar Theorem characterizing finite-dimensional unicity spaces in C(X).
	www.focm.net /at/HAT/haa.html (41 words)

	Haar wavelet - Wikipedia, the free encyclopedia
		The Haar wavelet is the first known wavelet and was proposed in 1909 by Alfred Haar.
		The disadvantage of the Haar wavelet is that it is not continuous and therefore not differentiable.
		The searching algorithm makes use of multiresolution wavelet decomposition (Haar 2D transform) of the query and database images.
	en.wikipedia.org /wiki/Haar_wavelet (218 words)

	Short history of the Bolyai Institute (Site not responding. Last check: 2007-10-22)
		Haar discovered a special system of pairwise orthogonal functions (known as the Haar system today), and became a privatdozent (a person entitled to announce and deliver lectures at the university) of the university of Göttingen at the age of 24.
		Riesz and Haar, with the help of their colleagues, succeeded in re-establishing the mathematical library by 1930.
		The staff grew in the subsequent years: in 1926 István Lipka became assistant of Haar, in 1927 László Kalmár became assistant of Ortvay, the physicist (since 1924, Radó was the first assistant of Riesz).
	www.math.u-szeged.hu /general/bolyhist.htm (2173 words)

	Wavelets: Seeing the Forest and the Trees - Text View
		The first entrant in the wavelet derby was a Hungarian mathematician named Alfred Haar, who introduced in 1909 the functions that are now called “Haar wavelets.” These functions consist simply of a short positive pulse followed by a short negative pulse.
		The new wavelets were almost as simple to program and use as Haar wavelets, but they were smooth, without the jumps of Haar wavelets.
		In fact, this whole procedure is the multiresolution version of the wavelet transform Haar discovered in 1909.
	www.beyonddiscovery.org /content/view.txt.asp?a=1952 (5405 words)

	The Hungary Page - More Famous Hungarians (Site not responding. Last check: 2007-10-22)
		Kolozsvár was no longer in Hungary after the Treaty of Trianon but rather it was in Romania and was renamed Cluj, so the Hungarian University there had to move within the new Hungarian borders and it moved to Szeged in 1920, where there had previously been no university.
		Of course the Institute was named after the famous Hungarian mathematician whose birthplace was Kolozsvár, the town from which the university had just been forced to move after the French awarded Transylvania and the Banat to the Rumanians.
		In 1932 he introduced a measure on groups, now called the Haar measure, used by von Neumann, and other notables.
	www.webenetics.com /hungary/sciencemathandtech2.htm (13571 words)

	SURFING THE WAVELETS
		In contrast to the Fourier transform, the wavelet transform allows exceptional localisation in both the time domain via translations of the mother wavelet, and in the scale (frequency) domain via dilations.
		Haar's research led to the simplest of the orthogonal wavelets, a set of rectangular basis functions depicted in Figure 13.
		The Haar basis function was of limited use due to it being discontinuous in nature.
	www.wavelet.org /tutorial/whistory.htm (1768 words)

	Postgraduate at Bolyai (Site not responding. Last check: 2007-10-22)
		In the Bolyai Institute of the Attila József University (Szeged) mathematical education and research started in 1921, when professors Frigyes Riesz and Alfréd Haar reorganized the Institute after the University of Kolozsvár, chartered in 1872, was relocated.
		The two great mathematicians, Frigyes Riesz and Alfréd Haar were the founders of the mathematical school in Szeged.
		The influence of their deep results can be traced up to now in both scientific research and university teaching.
	www.math.u-szeged.hu /general/postgrad.htm (911 words)

	Search Results for Budapest
		Haar then taught at Gottingen until 1912 when he returned to Hungary and held chairs at the university in Kolozsvar (which is now Cluj in Romania), Budapest University and Szeged University.
		Rozsa Peter studied at Lorand Eotvos University in Budapest where her interest in mathematics was brought about by Fejer's lectures.
		B S Nagy, Alfred Haar : Gesammelte Arbeiten (Budapest, 1959).
	www-gap.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Budapest&CONTEXT=1 (2816 words)

	Soundscapes: Links to other sites (Site not responding. Last check: 2007-10-22)
		The "In Focus" section with extensive treatments of topics like the Western or Alfred Hitchcock certainly deserve special attention.
		RadioVisie is de nieuwswebsite bij uitstek over radio in de Benelux.
		Met haar archief biedt de site actuele berichtgeving met een kenmerkende kritische benadering van het radiogebeuren in de Benelux, geplaatst tegen de historische achtergrond van meer dan een kwarteeuw radiogeschiedenis.
	www.icce.rug.nl /~soundscapes/HEADER/links.html (5006 words)

	Wavelet Editorial
		While wavelets have been traced all the way back to Alfred Haar in 1910 [1], for many, the starting point of their modern history coincides with two publications in the late 1980s by S. Mallat [2] and I. Daubechies [3].
		These groundbreaking papers established a solid mathematical footing which would both shape and define the field.
		Haar, "Zur Theorie der Orthogonalen Funktionensysteme," Annals of Mathematics, vol.
	bigwww.epfl.ch /publications/unser0304.html (2600 words)

	Vita
		J. Angelos, M. Henry, E. Kaufman, Jr., A. Kroó, and T. Lenker, On the continuity and differentiability of the best approximation operator, Colloquia Mathematica Societatis János Bolyai, 49, Alfred Haar Memorial Conference, (J. abados and K. Tandori, eds.), 127-144, North-Holland Publishing Company, New York, 1985.
		J. Angelos, M. Henry, E. Kaufman, A. Kroó, T. Lenker, "On the Continuity and Differentiability of the Best Approximation Operator," Alfred Haar Memorial Conference, Budapest, Hungary, August 12, 1985.
		The Alfred Haar Memorial Conference, Budapest, Hungary, August 11-17, 1985.
	www.cst.cmich.edu /users/angel1jr/vita_jra.htm (2387 words)

	11th October
		Mathematicians who were born or died on 11th October
		Click here for a poster of Alfréd Haar and here for a poster of Gotthold Eisenstein and here for a poster of Vito Volterra
		Another advantage of a mathematical statement is that it is so definite that it might be definitely wrong; and if it is found to be wrong, there is a plenteous choice of amendments ready in the mathematicians' stock of formulae.
	www-groups.dcs.st-and.ac.uk /~history/Day_files/Day1011.html (94 words)

	References for Haar (Site not responding. Last check: 2007-10-22)
		B S Nagy, Alfréd Haar : Gesammelte Arbeiten (Budapest, 1959).
		A B Németh, On Alfred Haar's original proof of his theorem on best approximation, A Haar memorial conference I, II (Amsterdam-New York, 1987), 651-659.
		B Szökefalvi-Nagy, Alfred Haar (1885-1933): invariant measure of mathematical excellence, A Haar memorial conference I, II (Amsterdam-New York, 1987), 17-24.
	www-history.mcs.st-and.ac.uk /References/Haar.html (63 words)

	16th March
		Mathematicians who were born or died on 16th March
		Click here for a poster of Eduard Heine and here for a poster of Gösta Mittag-Leffler and here for a poster of Alfréd Haar
		I never came across one of Laplace's Thus it plainly appears without feeling sure that I have hours of hard work before me to fill up the chasm and find out and show how in plainly appears.
	www-gap.dcs.st-and.ac.uk /~history/Day_files/Day316.html (84 words)

	Google Mystery Image 1 \| Feeeds Encyclopedia \| Computer Advice \| VisitorVille Intelligence \| Google Centuries \| Top 10 ...
		German Heise news also reports other keywords which would lead to sites installing spyware.
		These include: "Kreissparkasse Haar", "Autobahn staumelder", "Hypovereinsbank", and "Zelt kaufen" (these are request for banks, traffic jam alert system, or tent shops).
		Why is the German-language Google so spam infested when compared to English results (at least that's the impression I get)?
	blog.outer-court.com /archive/2005_01_03_index.html (1432 words)

	Selections from "Energy and Economic Myths" by Nicholas Georgescu-Roegen
		Undoubtedly, the current growth must cease, nay, be reversed.
		Apart from a few insignificant exceptions, all species other than man use only endosomatic instruments -- as Alfred Lotka proposed to call those instruments (legs, claws, wings, etc.) which belong to the individual organism by birth.
		Man alone came, in time, to use a club, which does not belong to him by birth, but which extended his endosomatic arm and increased its power.
	www.dieoff.com /page148.htm (8592 words)

	Food For Thought: Biographies
		d.494 BC Hitchcock, Sir Alfred Joseph (English film director)
		Housman, Laurence (English writer, illus.; brother of Alfred)
		Howard, Catherine (Fifth queen of Henry VIII of England)
	www.junkfoodforthought.com /bio/bio_H.htm (1564 words)

	The Wavelet Digest, Volume 7, Issue 8 (August 24, 1998)
		A set of biorthogonal filters is preset (first pull-down menu), Haar (this one is orthogonal!), linear spline and quadratic spline, with the delay induced by the filters, since one has linear phase.
		A special option, named CUSTOM, allows the user to enter its own filters.
		In the MatLab toolbox manual on page 1-28 "History of Wavelets" you find the statement: 'The first recorded mention of the term "wavelet" was in 1909, in a thesis by Alfred Haar.' Thats not true.
	cm.bell-labs.com /wavelet/digest_07/digest_07.08.html (5433 words)

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