Unreferenced stub auto yes date December 2009 1552Bessel alternate designation 1938 DE is a asteroid belt Main Belt asteroid . It was discovered on February 24, 1938 by Yrj V is l at Turku , Finland . It was named in honor of the German astronomer Friedrich Wilhelm Bessel . Minor planets navigator 1551 Argelander 1553 Bauersfelda Small Solar System bodies DEFAULTSORT Bessel Category Main Belt asteroids Category Asteroids named for people Category Discoveries by Yrj V is l Category Astronomical objects discovered in 1938 Beltasteroid stub de 1552Bessel eo 1552Bessel eu 1552Bessel fa it 1552Bessel la 1552Bessel hu 1552Bessel ja no 1552Bessel nn 1552Bessel pl 1552Bessel pt 1552Bessel sk 1552Bessel sr 1552 sv 1552Bessel tl 1552Bessel uk 1552 vi 1552Bessel yo 1552Bessel ... more details
Use mdy dates date March 2011 Year dab 1552 Year nav 1552 C16 year in topic File Vasnetsov Ioann 4.jpg thumb October 2 Ivan IV of Russia . File Eustachi01.jpg thumb Bartolomeo Eustachi . NOTOC Year 1552 Roman numerals MDLII was a leap year starting on Friday link will display the full calendar of the Julian calendar . Events onlyinclude January&ndash June January 15 &ndash Henry II of France and Maurice, Elector of Saxony Maurice of Saxony sign the Treaty of Chambord . February 12 &ndash Pedro de Valdivia founds the city of Valdivia city Valdivia as Santa Mar a la Blanca de Valdivia in Chile . February ... of Uniformity 1552 Act of Uniformity imposes the Protestant Book of Common Prayer in England . March ... Hakluyt , English author, editor and translator b. c. 1552 or 1553 d. 1616 Philemon Holland , English ... Reflist DEFAULTSORT 1552 Category 1552 af 1552 am 1552 . . . ar 1552 an 1552 ast 1552 az 1552 bn zh min nan 1552 n map bms 1552 be 1552 be x old 1552 bh bcl 1552 bg 1552 bs 1552 br 1552 ca 1552 cv 1552 cs 1552 co 1552 cy 1552 da 1552 de 1552 et 1552 el 1552 es 1552 eo 1552 eu 1552 fa fr 1552 fy 1552 ga 1552 gd 1552 gl 1552 gan 1552 ko 1552 hy 1552 hi hr 1552. io 1552 bpy id 1552 ia 1552 os 1552 is 1552 it 1552 he 1552 jv 1552 krc 1552 ka 1552 kk 1552 sw 1552 ht 1552 almanak jilyen la 1552 lv 1552. gads lb 1552 lt 1552 m. lmo 1552 hu 1552 mk 1552 mg 1552 mi 1552 mr . . ms 1552 nah 1552 nl 1552 ne new ja 1552 nap 1552 no 1552 nn 1552 nrm 1552 nov 1552 oc 1552 uz 1552 pi pnb 1552 nds 1552 pl 1552 pt 1552 ksh Joohr 1552 ro 1552 qu 1552 ru 1552 sah 1552 se 1552 sa sq 1552 scn 1552 simple 1552 sk 1552 sl 1552 ckb sr 1552 sh 1552 su 1552 fi 1552 sv 1552 tl 1552 tt 1552 th . . 2095 tr 1552 tk 1552 uk 1552 ur 1552 vec 1552 vi 1552 vo 1552 vls 1552 war 1552 yo 1552 zh yue 1552 zh 1552 ... more details
Bessel may refer to Bessel beam Bessel ellipsoid Bessel function in mathematics Bessel s inequality in mathematics Bessel filter , a linear filter often used in audio crossover systems Bessel crater , a small lunar crater Bessel transform, also known as Fourier Bessel transform or Hankel transform Window function Bessel window Bessel window Besselian date, see Epoch astronomy Besselian years MV Bessel , a German merchant ship in service 1928 45, latterly for the Kriegsmarine Bessel is the name of Friedrich Bessel 1784 1846 , German mathematician, astronomer, and systematizer of the Bessel functions Bessel Kok born 1941 , Dutch businessman and chess organiser See also Bessell disambiguation Category Surnames Category Given names de Bessel Begriffskl rung fr Bessel nl Bessel ja sk Bessel sr ... more details
Gauss Carl Gauss , also a mathematician and physicist . The asteroid 1552Bessel was named in his honour. Life and work Bessel was born in Minden in Minden Ravensberg , the son of a civil servant. At the age of 14 Bessel was apprenticed to the import export concern Kulenkamp . He soon became the company ...Infobox scientist name Friedrich Bessel image Friedrich Wilhelm Bessel 1839 painting .jpg image size 225px caption Christian Albrecht Jensen C. A. Jensen , Friedrich Wilhelm Bessel , 1839 Ny Carlsberg ... doctoral students Heinrich Scherk known for Bessel function s br Stellar parallax prizes Gold Medal of the Royal Astronomical Society 1829 & 1841 religion footnotes Friedrich Wilhelm Bessel 22 July 1784 &ndash 17 March 1846 was a Germany German mathematician , astronomer , and systematizer of the Bessel ... longitude . Bessel came to the attention of a major figure of German astronomy at the time, Heinrich ... two years Bessel had left Kulenkamp and become an assistant at Lilienthal, Lower Saxony Lilienthal Observatory ... of 26, Bessel was appointed director of the K nigsberg Observatory by King Frederick William III of Prussia ... won him the Lalande Prize from the French Academy of Sciences in 1811. Bessel was able to pin down the position of over 50,000 stars during his time at K nigsberg . With this work under his belt, Bessel ... parallax accurately. In 1838 Bessel won the race, announcing that 61 Cygni had a parallax of 0.314 ... ly away. If the currently accepted figure of 11.4 ly see 61 Cygni and discussion page is correct, Bessel .... As well as helping determine the parallax of 61 Cygni, Bessel s precise measurements allowed him to notice ... led to the discovery of Sirius B . Despite lacking a university education, Bessel was a major figure ... is named Bessel crater Bessel after him. Bessel s work in 1840 contributed in some degree to the discovery ... accessdate 24 June 2011 ref Bessel won the Gold Medal of the Royal Astronomical Society in 1841. In the second ..., Bessel developed what are now known as Bessel function s. Critical for the solution of certain differential ... more details
Year nav topic2 1552 music art class infobox style background color f3f3f3 align center 1540s in music 1540s sup . sup 1550s in music sup . sup 1560s in music 1560s align center Other events 1550s sup . sup Music timeline Events none listed Publications Music none listed Theory Adrianus Petit Coclico Compendium musices Musical compendium Compositions none listed Births none listed Deaths Death of Heinrich Faber , Johannes Cochlaeus , and probably Philippe Verdelot Category 16th century in music Category 1552 Music mk 1552 ... more details
Year nav topic 1552 literature Events New books Bartolom de las Casas A Short Account of the Destruction of the Indies Fran ois Rabelais Le quart livre Ger nimo de Santa Fe Hebr omastix posthumous Libellus de Medicinalibus Indorum Herbis Little Book of the Medicinal Herbs of the Indians , composed in Nahuatl language Nahuatl by Mart n de la Cruz and translated into Latin language Latin by Juan Badiano . New drama David Lyndsay A Satire of the Three Estates first public performance Poetry See 1552 in poetry Births Deaths June 10 Alexander Barclay , English Scottish poet born c.1476 October 17 Andreas Osiander , Lutheran theologian born 1498 December 11 Paolo Giovio , physician, historian and biographer born 1483 December 30 Francisco de Enzinas , classical scholar, translator, author, and Protestant apologist born c.1518 DEFAULTSORT 1552 in literature Category 1552 books ... more details
Year nav topic 1552 art Events Empty section date July 2010 Paintings Tintoretto The Vision of St. Peter Births Hans von Aachen Germany German mannerism mannerist Painting painter d. 1615 in art 1615 Alessandro Casolano Italian painter primarily working in Siena d. 1606 in art 1606 Cristoforo Roncalli Italian painter d. 1626 in art 1626 Lavinia Fontana Italian painter d. 1614 in art 1614 Barbara Longhi Italian painter d. 1638 in art 1638 Deaths Peter Dell the Elder German sculptor b. 1490 in art 1490 Qiu Ying China Chinese painter who specialized in the gongbi brush technique b. 1494 in art 1494 Category 1552 Art Category Years of the 16th century in art mk 1552 ... more details
Year nav topic 1552 science Life sciences In Italy , Bartolomeo Eustachi completes his Tabulae anatomicae , presenting his discoveries on the structure of the inner ear including the Eustachian tube ref cite book first Bernard last Grun title The Timetables of History edition 3rd location New York publisher Simon & Schuster year 1991 isbn 0 671 74919 6 page 245 ref and heart , although it will not be published until 1714 in science 1714 . Cornelius Gemma publishes the first illustration of a human tapeworm . ref cite web publisher University of W rzburg title Parasitology Research & Encyclopedic Reference of Parasitology url http parasitology.informatik.uni wuerzburg.de login n h 0661 0001 a.pdf dead link date December 2010 ref Thierry de H ry publishes La M thode Curatoire de la maladie v n rienne vulgairement appel e grosse V role et de la diversit de ses sympt mes , the first work in French language French on syphilis . Ambroise Par appointed royal surgeon to the House of Valois in France and begins publication of La Mani re de traicter les playes faictes tant par hacquebutes que par fl ches et les accidentz d icelles . Edward Wotton zoologist Edward Wotton s systematic researches in zoology are collected in De differentiis animalium libri decem , published in Paris . ref name ODNB cite web authorlink Albert Pollard first1 A. F. last1 Pollard first2 Patrick last2 Wallis title Wotton, Edward 1492 1555 work Oxford Dictionary of National Biography publisher Oxford University Press year 2004 url http www.oxforddnb.com view article 29999 accessdate 2011 10 24 doi 10.1093 ref odnb 29999 ODNBsub ref Births February 28 Jost B rgi , Swiss people Swiss clockmaker and mathematician d. 1632 in science 1632 Petrus Plancius , Flemish people Flemish cartographer and cosmographer d ... References reflist DEFAULTSORT 1552 In Science Category 1552 in science fr 1552 en science hu 1552 a tudom nyban mk 1552 ... more details
Year nav topic2 1552 poetry literature Works French poetry French Jean Antoine de Ba f , Les Amours de M line Nostradamus , Centuries , a book of prophecies presented in rhymes ref name gtktwl Kurian, George Thomas, Timetables of World Literature , New York Facts on File Inc., 2003, ISBN 0 8160 4197 0 ref Pierre Ronsard , French poetry France Fifth Book of Odes see also first four books 1550 in poetry 1550 ref name ll http www2.ac lyon.fr enseigne lettres louise lyon biolab.html La vie de Louise Lab , a chronology, retrieved May 17, 2009. http www.webcitation.org query?id 1242848641679587 Archived 2009 05 20. ref Les Amours de P. de Ronsard Vandomoys, Ensemble de Bocages , sonnets ref name gtktwl Oeuvres de l invention de l Auteur Other Thomas Churchyard , A Myrrour for Man ref name cocel Cox, Michael, editor, The Concise Oxford Chronology of English Literature , Oxford University Press, 2004, ISBN 0 19 860634 6 ref Nostradamus , also known as Michel de Notredame or Michel de Nostredame, Centuries , a book of rhymed prophecies ref name jttpc Trager, James, The People s Chronology , New York Holt, Rinehart and Winston, 1979 ref Births February 8 &ndash Th odore Agrippa d Aubign died 1630 in poetry 1630 , French poetry French poet, soldier, propagandist and chronicler Also Jean Bertaut , died 1611 in poetry 1611 , French poetry French Abraham Fleming died 1607 in poetry 1607 , poet, translator and antiquarian ref name cocel Alonso de Ledesma , born this year, according to many sources, ref One of many that give 1552 as the birth year Hills, Elijah Clarence, and Sylvanus Griswold Morley, http books.google.com books?id lLoNAAAAYAAJ&pg PR25&lpg PR25&dq 22Alonso de Ledesma 22 1623&source bl&ots e0r5XP4Xhf&sig rKhnS5HlOM4NILc0jON9bSszRgU&hl en&ei XZKStPdHY6ZtgegkPGfBg&sa X&oi book result&ct result&resnum 19 Modern Spanish lyrics , p xxv, New York Henry Holt and Company, 1913 ... in poetry Category 1552 Poetry Poetry year stub ... more details
The Schism of 1552 was an important event in the history of the Church of the East . It divided the church into two factions, of which one entered into communion with Rome and the other remained independent. The modern Chaldean Catholic Church and the Assyrian Church of the East , both of which trace their descent to the old Church of the East, emerged as a result of this schism. The circumstances of the schism were controversial at the time and have been disputed ever since. Summary of events Around the middle of the fifteenth century the patriarch Shem transl ar DIN on IV Basidi made the patriarchal succession hereditary, normally from uncle to nephew. This practice, which tended to result in a shortage of eligible heirs, eventually led to a schism in the Church of the East. ref Wilmshurst, EOCE , 19 ref The patriarch Shemon VII Ishoyahb Shem transl ar DIN on VII Isho transl ar DIN ..., selling clerical posts and living intemperately. By 1552 Shem transl ar DIN on VII Isho ... act of April 1553, the schism of 1552 was precipitated by the death of the patriarch Shem transl ar ... in 1552 when they claimed that Sulaqa had been elected in response to the consecration of the eight ... was elected in 1552 in the course of a rebellion against the reigning patriarch Shem transl ... precipitated the schism of 1552. ref Wilmshurst, 21 2 and 193 4 ref Habbi and Wilmshurst s conclusions ... in 1552 by Sulaqa s supporters, which was taken to Rome by Sulaqa. This letter, quoted in two slightly ... ar DIN yahb did indeed make only two metropolitan appointments before the schism of 1552. In 1539 ... in colophons of 1550, May 1552 and June 1554. ref MSS Mosul Scher 80 1550 , Diyarbakr Scher 53 7 May 1552 and Mardin Scher 38 4 June 1554 ref According to transl ar DIN Abdisho transl ar DIN ... after Eliya s consecration, and the schism of 1552 was probably provoked by Eliya s designation as natar ... Category Schisms in Christianity Category Chaldean Catholic Church Category 1552 Category 16th century ... more details
lunar crater data image Image Bessel crater Apollo 15.jpg 200px caption Lunar crater Bessel from Apollo 15 . NASA photo. latitude 21.8 N or S N longitude 17.9 E or W E diameter 16 km depth 1.7 km colong 342 eponym Friedrich Wilhelm Bessel Friedrich W. BesselBessel is a small moon lunar Impact crater crater that is located in the southern half of the Mare Serenitatis . Despite its small size, this is the largest crater to lie entirely within the Lunar mare mare . It lies to the north northeast of the crater Menelaus crater Menelaus . This crater is circular and bowl shaped with a rim that has a higher albedo than the floor or the surrounding mare. The outer rim is not significantly worn, and there are no features of note on the interior, apart from some slumping of material from the inner walls to the floor. Bessel is not of sufficient size to have developed the wiktionary terrace terrace structures of larger craters. It was named after Friedrich Wilhelm Bessel . A large Ray system ray , most likely from Tycho crater Tycho , crosses the mare from north to south, passing Bessel s western side. Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater mid point that is closest to Bessel. class wikitable width 25 style background eeeeee Bessel width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center D align center 27.3 N align center 19.9 E align center 5 km align center F align center 21.2 N align center 13.8 E align center 1 km align ... Astronomical Union IAU . Bessel A &mdash See Sarabhai crater . Bessel E &mdash See Bobillier crater ... title Radar Strip Showing Crater Bessel date November 23, 2009 publisher NASA url http www.nasa.gov ... craters on the Moon da Bessel m nekrater de Bessel Mondkrater fa fr Bessel crat re ru sk Bessel kr ter ... more details
File Bessel beam.svg thumb Diagram of Axicon and resulting Bessel Beam File Bessek beam intensity.svg thumb Cross section of the Bessel beam and graph of intensity File Bessel beam reform.svg thumb Bessel beam re forming central bright area after obstruction A Bessel beam is a field of electromagnetic, acoustic or even gravitational radiation whose amplitude is described by a Bessel function of the first ... pmid 12226659 issue 6903 bibcode 2002Natur.419..145G ref ref D. McGloin, K. Dholakia, Bessel beams diffraction in a new light, Contemporary Physics 46 2005 15 28 ref A true Bessel beam is non diffractive ... spot. Bessel beams are also self healing , meaning that the beam can be partially obstructed at one point, but will re form at a point further down the beam axis . As with a plane wave a true Bessel ... because they exhibit little or no diffraction over a limited distance. Approximations to Bessel beams are made in practice by focusing a Gaussian beam with an axicon lens to generate a Bessel Gauss beam. The properties of Bessel beams ref F. O. Fahrbach, P. Simon, A. Rohrbach, Microscopy with self ... of an electromagnetic zero order Bessel beam by a dielectric sphere. Optics Letters 36 2011 766 768 ref make them extremely useful for Optical tweezers optical tweezing , as a narrow Bessel beam will maintain ... manipulation with acoustical tweezers may be feasible with a Bessel beam that scatters ref P. L. Marston, Scattering of a Bessel beam by a sphere, J. Acoust. Soc. Am. 121 2007 753 758 ref ref G. T. Silva, Off axis scattering of an ultrasound bessel beam by a sphere. IEEE Trans. Ultrason. Ferroelectr ... order Bessel vortex beam by a rigid sphere, Wave Motion 48 2011 392 400 ref and produces a radiation ... and quasi standing zero order Bessel beam tweezers, Annals of Physics 323 2008 1604 1620 ref ... and quasi standing zero order Bessel beam tweezers of variable half cone angles, IEEE Transactions ... acoustic radiation force of a high order Bessel beam on a rigid sphere, IEEE Transactions on Ultrasonics ... more details
In mathematics , especially functional analysis , Bessel s inequality is a statement about the coefficients of an element math x math in a Hilbert space with respect to an orthonormal sequence . Let math H math be a Hilbert space, and suppose that math e 1, e 2, ... math is an orthonormal sequence in math H math . Then, for any math x math in math H math one has math sum k 1 infty left vert left langle x,e k right rangle right vert 2 le left Vert x right Vert 2 math where , denotes the inner product space inner product in the Hilbert space math H math . If we define the infinite sum math x sum k 1 infty left langle x,e k right rangle e k, math consisting of infinite sum of vector resolute math x math in direction math e k math , Bessel s inequality mathematics inequality tells us that this series mathematics series Limit of a sequence converges . One can think of it that there exists math x in H math which can be described in terms of potential basis math e 1, e 2, ... math . For a complete orthonormal sequence that is, for an orthonormal sequence which is a Orthonormal basis basis , we have Parseval s identity , which replaces the inequality with an equality and consequently math x math with math x math . Bessel s inequality follows from the identity math 0 le left x sum k 1 n langle x, e k rangle e k right 2 x 2 2 sum k 1 n langle x, e k rangle 2 sum k 1 n langle x, e k rangle 2 x 2 sum k 1 n langle x, e k rangle 2, math which holds for any natural n . planetmath title Bessel inequality id 3089 See also Cauchy Schwarz inequality External links http mathworld.wolfram.com BesselsInequality.html Bessel s Inequality the article on Bessel s Inequality on MathWorld. Category Hilbert space Category Inequalities de Besselsche Ungleichung es Desigualdad de Bessel eo Neegala o de Bessel fr In galit de Bessel it Disuguaglianza di Bessel kk hu Bessel egyenl tlens g ro Inegalitatea lui Bessel ru fi Besselin ep yht l sv Bessels olikhet uk ... more details
Bessel Kok born Hilversum , 13 December 1941 is a Dutch business man and chess organiser living in Prague . He has served in top management positions in telecommunications companies in Belgium Belgacom and in the Czech Republic . He was also President of the Belgian based Banking communications company Society for Worldwide Interbank Financial Telecommunication SWIFT and responsible for SWIFT s sponsorship of several major International chess events. Kok was the Chairman of World Chess Grandmaster Association from 1985 until 1991, and helped to establish the 2002 Prague Agreement concerning the World Chess Championship . Kok is also active in the art s he was the producer of the movie film Nicholas Winton, the power of Good about British businessman Nicholas Winton who rescued children from the Nazi s. The film won an Emmy Award in 2002. Kok ran a campaign for presidency of FIDE the World Chess Federation FIDE against the incumbent Kirsan Ilyumzhinov in 2006. The election was held in June, 2006 in Torino , Italy during the World Chess Olympiad and Kok lost 54 96 to Ilyumzhinov. External links http www.fide.com news.asp?id 960 Two Tickets Announced for FIDE Elections http www.chessville.com Editorials Interviews 20Questions Kok.htm Chessville Interviews 20 Questions with Bessel Kok Persondata Metadata see Wikipedia Persondata . NAME Kok, Bessel ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 13 December 1941 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Kok, Bessel Category 1941 births Category Living people Category Dutch chess players Category Dutch businesspeople Category People from Hilversum Category Chess officials Category Belgacom Group Netherlands business bio stub netherlands chess bio stub ca Bessel Kok de Bessel Kok fr Bessel Kok nl Bessel Kok fi Bessel Kok ... more details
hide filter3 hide In electronics and signal processing , a Bessel filter is a type of linear filter with a maximally flat group delay maximally linear phase response . Bessel filters are often used in audio crossover systems. Analog Bessel filters are characterized by almost constant group delay across ... s name is a reference to Friedrich Bessel , a German mathematician 1784 1846 , who developed the mathematical theory on which the filter is based. The filters are also called Bessel Thomson filters in recognition of W. E. Thomson, who worked out how to apply Bessel functions to filter design. ref ... order low pass Bessel filter. Note that the transition from the pass band to the stop band is much slower than for other filters, but the group delay is practically constant in the passband. The Bessel filter maximizes the flatness of the group delay curve at zero frequency. A Bessel low pass ...&dq Bessel filter polynomial&lr &as brr 3&ei gyeWSvTbIpmwNPyaqNcH v onepage&q Bessel 20filter 20polynomial ... Bessel polynomial from which the filter gets its name and math omega 0 math is a frequency chosen ... 0 math . Bessel polynomials File Bessel 3rd order poles.svg right thumb The roots of the third order Bessel polynomial are the pole zero plot poles of filter transfer function in the s plane s plane , here plotted as crosses. The transfer function of the Bessel filter is a rational function whose denominator is a reverse Bessel polynomial , such as the following math n 1 quad s 1 math br math n ... math br math n 5 quad s 5 15s 4 105s 3 420s 2 945s 945 math br The reverse Bessel polynomials are given ... quad k 0,1, ldots,n. math Example File Bessel 3rd order gain.svg right thumb Gain plot of the third order Bessel filter, versus normalized frequency File Bessel 3rd order delay.svg right thumb Group delay plot of the third order Bessel filter, illustrating flat unit delay in the passband The transfer function for a third order three pole Bessel low pass filter , normalized to have unit group delay ... more details
The Bessel ellipsoid or Bessel 1841 is an important reference ellipsoid of geodesy . It is currently used by several countries for their national geodetic surveys, in Europe and on other continents, but will be replaced in the next decades by modern ellipsoids of satellite geodesy . The Bessel ellipsoid was derived 1841 by Friedrich Wilhelm Bessel , based on several meridian arc s and other data of continental geodetic network s of Europe , Russia and the British Survey of India . It is based on 10 meridional arcs and 38 precise measurements of the astro geographic latitude and longitude see also Astro geodetic astro geodesy . The dimensions of the ellipsoid axes were defined by logarithm s in keeping with former calculation methods. The Bessel and GPS ellipsoids The Bessel ellipsoid fits especially well to the geoid curvature of Europe and Eurasia . Therefore it is optimal for National survey networks in these regions, despite of the fact that its axes are about 700 m shorter than that of the mean Earth ellipsoid derived by satellites. Below the two axes a , b and the flattening a &minus b a . As for comparison, the data of the modern World Geodetic System WGS84 are shown, which is mainly used for modern surveys and the Global Positioning System GPS system. Bessel ellipsoid 1841 defined by log a and a 6,377,397.155 m 1 299.152815 3513233 0.003342 773154 0.000005 b 6,356,078.963 m . Earth ellipsoid WGS84 defined directly by a and a 6,378,137.0 m 1 298.257223563 b 6,356,752.30 m . Usage The ellipsoid data published by Bessel 1841 were ... data e.g. of satellite geodesy in the same way as the pioneering work of Bessel. In 1950 about ... on the Bessel ellipsoid. In the following decades the Americas American states switched mainly to the Hayford ... to use the Krassowski ellipsoid of about 1940. As of 2010 the Bessel ellipsoid is the geodetic system ... Geodesy de Bessel Ellipsoid fr Ellipso de de Bessel nl Ellipso de van Bessel ru ... more details
In mathematics , the Bessel potential is a potential theory potential named after Friedrich Wilhelm Bessel similar to the Riesz potential but with better decay properties at infinity. If s is a complex number with positive real part then the Bessel potential of order s is the operator math I Delta s 2 math where is the Laplace operator and the fractional calculus fractional power is defined using Fourier transforms. See also Riesz potential Fractional integration Sobolev space Fractional Schr dinger equation References eom id B b110420 title Bessel potential operator first R. last Duduchava Citation last1 Grafakos first1 Loukas title Modern Fourier analysis publisher Springer Verlag location Berlin, New York edition 2nd series Graduate Texts in Mathematics isbn 978 0 387 09433 5 doi 10.1007 978 0 387 09434 2 mr 2463316 year 2009 volume 250 eom id B b120170 title Bessel potential space first L.I. last Hedberg eom id B b015870 first E.D. last Solomentsev citation first Elias last Stein authorlink Elias Stein title Singular integrals and differentiability properties of functions publisher Princeton University Press location Princeton, NJ year 1970 isbn 0 691 08079 8 Category Fractional calculus Category Partial differential equations Category Potential theory Category Singular integrals ... more details
Location map Greenland lat dir N lat deg 75 lat min 59 lon dir W lon deg 21 lon min 10 width 300 caption Location within Greenland label Bessel Fjord Bessel Fjord is a fjord in Erik the Red s Land in northeastern Greenland . It is located in the Greenland Caledonites. ref cite book url http books.google.co.uk books?id 0YhkhnIuJwgC&pg PA172&lpg PA172&dq Bessel Fjord&source bl&ots IWfb4ow2ku&sig s jye6hc 7JEJZTVzv8vSJTK6Y&hl en&ei dNVATNyoCJKy0gTQ7OmgDw&sa X&oi book result&ct result&resnum 6&ved 0CCoQ6AEwBQ v onepage&q Bessel 20Fjord&f false title The Greenland Caledonides evolution of the northeast margin of Laurentia authors A. K. Higgins, Jane A. Gilotti, M. Paul Smith work Volume 202 of Memoir Geological Society of America publisher Geological Society of America year 2008 page 172 isbn 0813712025 ref References Reflist coord 75 59 N 21 10 W scale 1000000 display title Category Fjords of Greenland Category Article Feedback 5 greenland geo stub ... more details
Citations missing article date January 2008 Vasily Vasil yevich Bessel lang ru April 25 OS April 13 , 1843 1842? St Petersburg March 1, OS February 16 1907, Zurich was a Russian music publisher. He co founded the thriving publishing firm V. Bessel and Co. since 1869 and a print shop since 1871 , which published works by prominent Russian composers, notably Pyotr Tchaikovsky , Anton Rubinstein , Alexander Dargomyzhsky and the members of the New Russian Musical School Modest Musorgsky , Nikolai Rimsky Korsakov Nikolay Rimsky Korsakov , C sar Cui , Mily Balakirev , and Alexander Borodin . He was the journal s publisher and also the sole editor of a weekly St Petersburg magazine Muzykal ny listok The Musical Leaf from September 3, 1872 to June 5, 1877, that appeared on Sundays during the nine month Russian musical season, from September October to May June. The journal s purpose was to offer an in depth view of the many aspects of Russian and foreign musical life. Later he published the journal Muzykal noye obozrenie The musical revue 1885 1888 . He also wrote a book Notnoe delo The Note Matter , published in 1901. His brother N. V. Bessel was a co owner of the firm V. Bessel and Co. External links http www.ripm.org journal info.php?ABB MUL Muzykal ny listok Persondata Metadata see Wikipedia Persondata . NAME Bessel, Vasily ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1843 PLACE OF BIRTH DATE OF DEATH 1907 PLACE OF DEATH DEFAULTSORT Bessel, Vasily Category Russian editors Category 1843 births Category 1907 deaths ... more details
More footnotes date September 2009 In mathematics , the Bessel polynomials are an orthogonal polynomials ..., is sometimes known as the reverse Bessel polynomials See Grosswald 1978, Berg 2000 . math theta ... are the same as the first but in reverse order. For example, the third degree Bessel polynomial is math y 3 x 15x 3 15x 2 6x 1 , math while the third degree reverse Bessel polynomial is math theta 3 x x 3 6x 2 15x 15 , math The reverse Bessel polynomial is used in the design of Bessel filter Bessel electronic filters . Properties Definition in terms of Bessel functions The Bessel polynomial may also be defined using Bessel function s from which the polynomial draws its name. math y n x ... frac 2 pi x ,e 1 x K n frac 1 2 1 x math where math K n x math is a modified Bessel function of the second ... as a hypergeometric function The Bessel polynomial may also be defined as a confluent hypergeometric ... left frac 2 x right n 1 U left n 1,2n 2, frac 2 x right . math The reverse Bessel polynomial may ... The Bessel polynomials have the generating function math sum n 0 sqrt frac 2 pi x n frac 1 2 e x K n frac 1 2 x frac t n n e x 1 sqrt 1 2t . math Recursion The Bessel polynomial may also be defined ... 2 theta n 2 x , math Differential equation The Bessel polynomial obeys the following differential equation ... of the Bessel polynomials have been suggested in literature Krall, Fink , as following math y n ... math a curve surrounding the 0 point. They specialize to the Bessel polynomials for math alpha beta 2 math , in which situation math rho x e 2 x math . Rodrigues formula for Bessel polynomials The Rodrigues formula for the Bessel polynomials as particular solutions of the above differential equation ... 2n e frac beta x math where math a n alpha, beta math are normalization coefficients. Associated Bessel polynomials According to this generalization we have the following generalized associated Bessel ... authorlink Leonard Carlitz coauthors year 1957 month title A Note on the Bessel Polynomials journal ... more details
In mathematics , a Bessel process , named after Friedrich Bessel , Why is it named after him? is a type of stochastic process . The Bessel process of order n is the real number real valued process X given by math X t W t , math where · denotes the Norm mathematics Euclidean norm Euclidean norm in R sup n sup and W is an n dimensional Wiener process Brownian motion started from the origin. The Bessel process of order n is the solution to the stochastic differential equation math dX t dZ t frac n 1 2 frac dt X t math where Z is a 1 dimensional Wiener process Brownian motion . Note that this SDE makes sense for any real parameter math n math although the drift term is singular at zero . Since W was assumed to have started from the origin the initial condition is X sub 0 sub 0. For n &ge 2, the n dimensional Wiener process is Markov chain Recurrence transient from its starting point almost surely with probability one , X sub t sub > 0 for all t > 0. It is, however, neighbourhood recurrent for n 2, meaning that with probability 1, for any r 0, there are arbitrarily large t with X sub t sub r on the other hand, it is truly transient for n 2, meaning that X sub t sub &ge r for all t sufficiently large. A notation for the Bessel process of order n started at zero is BES sub 0 sub n . References cite book author ksendal, Bernt title Stochastic Differential Equations An Introduction with Applications publisher Springer, Berlin year 2003 isbn 3 540 04758 1 Williams D. 1979 Diffusions, Markov Processes and Martingales, Volume 1 Foundations. Wiley. ISBN 0 471 99705 6. Category Stochastic processes probability stub ... more details
In mathematics, Bessel functions , first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel , are Canonical Mathematics canonical solutions y x of Bessel s differential equation ... number the order of the Bessel function the most common and important cases are for an integer or half ... to define different Bessel functions for these two orders e.g., so that the Bessel functions are mostly smooth functions of . Bessel functions are also known as cylinder functions or cylindrical harmonics ... of Bessel function Bessel s equation arises when finding separable solutions to Laplace s equation and the Helmholtz equation in cylindrical or spherical coordinates . Bessel functions are therefore ... problems in cylindrical coordinate systems, one obtains Bessel functions of integer order n in spherical ... radiation Bessel functions also have useful properties for other problems, such as signal processing e.g., see FM synthesis , Kaiser window , or Bessel filter . Definitions Since this is a second ... variations are described below. Bessel functions of the first kind J sub &alpha sub Bessel functions of the first kind, denoted as J sub sub x , are solutions of Bessel s differential equation that are finite ... sub x are defined by its Bessel function Properties properties below. It is possible to define ... of the factorial function to non integer values. The graphs of Bessel functions look roughly like ... be expressed in terms of J sub n 1 sub x by the identities Bessel function Properties below . Image Bessel Functions 1st Kind, n 0,1,2 .svg thumb 300px right Plot of Bessel function of the first kind ..., the second linearly independent solution is then found to be the Bessel function of the second kind, as discussed below. Bessel s integrals Another definition of the Bessel function, for integer values ... pi e mathrm i , n tau x sin tau , mathrm d tau. math This was the approach that Bessel used, and from ... Relation to hypergeometric series The Bessel functions can be expressed in terms of the generalized ... more details
In statistics , Bessel s correction , named after Friedrich Bessel , is the use of n 1 instead of n in the formula for the sample variance and sample standard deviation , where n is the number of observations in a sample it corrects the bias in the estimation of the population variance, and some but not all of the bias in the estimation of the population standard deviation. That is, when estimation theory estimating the population variance and standard deviation from a sample when the population mean is unknown, the sample variance is a biased estimator of the population variance, and systematically underestimates it. Multiplying the standard sample variance by n n 1 equivalently, using 1 n 1 instead of 1 n corrects for this, and gives an unbiased estimator of the population variance. The cost of this correction is that the unbiased estimator has uniformly higher mean squared error than the biased estimator. In some terminology, ref W.J. Reichmann, W.J. 1961 Use and abuse of statistics , Methuen. Reprinted 1964 1970 by Pelican. Appendix 8. ref ... data ref the factor n n 1 is itself called Bessel s correction . A subtle point is that, while the sample variance using Bessel s correction is an unbiased estimate of the population ... estimation of standard deviation for details. One can understand Bessel s correction intuitively ... variance s sub n sub sup 2 sup is the biased sample variance i.e. without Bessel s correction s sup 2 sup is the unbiased sample variance i.e. with Bessel s correction The standard deviations will then be the square ... n n 1 right ,s n 2 math Proof that Bessel s correction yields an unbiased estimator of the population ... Reflist External links MathWorld urlname BesselsCorrection title Bessel s Correction DEFAULTSORT Bessel s Correction Category Statistical deviation and dispersion Category Statistical inference hu Bessel f le korrekci ... more details
Ship propulsion Screw propellor Ship speed Ship capacity Ship crew Ship notes Ship armament Bessel .... She was sold in 1926 and renamed Bessel . She was seized by the Allies in Vigo , Spain , in May 1945 ... to Otwi Werke GmbH , Bremen and renamed Bessel . In December 1928, ref name Leokragh she was sold ... publisher Plimsoll Ship Data accessdate 24 June 2010 ref In 1940, Bessel was requisitioned by the Kriegsmarine ... Ships Bessel was used to refuel U boat s eight times during the war. Although supposedly a merchant ... of Bessel during the Second World War http www.photoship.co.uk JAlbum 20Ships Old 20Ships 20Ba slides Birgitte 20Skou 01.html Photo of Birgitte Skou Empire C ships DEFAULTSORT Bessel Category 1925 ... more details
List of state leaders in 1551 1551 state leaders 1552 Events of 1552 List of state leaders in 1553 1553 state leaders State leaders by year Africa Empire of Ethiopia Gelawdewos of Ethiopia Gelawdewos 1540&ndash 1559 Kingdom of Kongo Diogo I Nkumbi a Mpudi Diogo I , Manikongo 1545&ndash 1561 Kingdom of Sennar Abd al Qadir I 1550 1 1557 8 Songhai Empire Askia Daoud , Askiya Dynasty Askiya Dynasty of the Songhai Empire Askia of the Songhai Empire 1549&ndash 1582 Asia Sultanate of Aceh , Alauddin al Kahar 1539 1571 Sultanate of Banten Banten Sunan Gunungjati Hasanudin , Sultan of Banten 1552 1570 China Ming Dynasty Jiajing Emperor 1521&ndash 1566 Jaffna Kingdom Cankili I 1519 1561 Sengoku period Japan Sengoku period Monarch Emperor Go Nara 1526&ndash 1557 Shogun Ashikaga shogunate Ashikaga Ashikaga Yoshiteru 1546&ndash 1565 Joseon Dynasty Korea Joseon Dynasty Myeongjong of Joseon Myeongjong 1545&ndash 1567 Mughal Empire Ibrahim Sur 1545&ndash 1555 Ry ky Kingdom Sh Sei 1527&ndash 1555 Sulu Sultanate Sultan Nasir ud Din I 1548 1568 Vijayanagara Empire Rama Raya 1542&ndash 1565 Europe Kingdom of Denmark and Norway Christian III of Denmark Christian III 1534&ndash 1559 Duchy of Schleswig Adolf, Duke of Holstein Gottorp Adolphus 1544&ndash 1586 , Christian III of Denmark Christian III 1523&ndash 1559 , and John II, Duke of Schleswig Holstein Haderslev John II 1544&ndash 1580 in condominial rule Kingdom of England Edward VI of England Edward VI 1547&ndash 1553 Kingdom of France Henry ...&ndash 1552 Ioan Joldea , List of Moldavian rulers Voivode of Moldavia 1552 Alexandru L pu neanu , List of Moldavian rulers Voivode of Moldavia 1552&ndash 1561 Kingdom of Navarre Henry II of Navarre ... 1545&ndash 1552 Radu Ilie Haidaul , List of Wallachian rulers Voivode of Wallachia 1552&ndash 1553 ... Category Lists of state leaders by year 1552 Category 1552 de Liste der Staatsoberh upter 1552 mk 1552 ... more details
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