Bohr Compactification: Information From Answers.com bohr compactification In mathematics , the bohr compactification of a is namedafter harald bohr who pioneered the study of almost periodic functions, http://www.answers.com/topic/bohr-compactification
Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Bohr compactification Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Bohr compactification In mathematics , the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G . Its importance lies in the reduction of the theory of uniformly almost periodic functions on G to the theory of continuous functions on H . The concept is named after Harald Bohr who pioneered the study of almost periodic functions , on the real line Given a topological group G , the Bohr compactification of G is a compact Hausdorff topological group Bohr G ) and a continuous homomorphism which is universal with respect to homomorphisms into compact Hausdorff groups; this means that if K is another compact Hausdorff topological group and is a continuous homomorphism, then there is a unique continuous homomorphism
Niels Henrik David Bohr His brother, harald August bohr,. 18871951, a mathematician, taught (191530)at the College of Technology in Copenhagen and in 1930 became professor at http://www.factmonster.com/ce6/people/A0808132.html
Extractions: Reference Desk Encyclopedia Bohr, Niels Henrik David Pronunciation Key Bohr, Niels Henrik David , Danish physicist, one of the foremost scientists of modern physics. He studied at the Univ. of Copenhagen (Ph.D. 1911) and carried on research on the structure of the atom at Cambridge under Sir James J. Thomson and at Manchester under Lord Ernest Rutherford. In 1916, Bohr became professor of theoretical physics at the Univ. of Copenhagen, and in 1920 he was made director of the Institute of Theoretical Physics, which he was instrumental in founding. Rutherford had discovered the nucleus of the atom in 1911, but classical theory was unable to explain the stability of the nuclear model of the atom. Bohr provided the solution to this problem in 1913, when he postulated that electrons move around the nucleus of the atom in restricted orbits and explained the manner in which the atom absorbs and emits energy. He thus combined the quantum theory with this concept of atomic structure. Much of the knowledge of modern physics was made possible by Bohr's initial revolutionary assumption that atomic processes cannot be explained by classical laws alone. Bohr was a leading figure in the continuing development of the quantum theory over the next twenty years. He received the 1922 Nobel Prize in Physics.
The Bohr Atom For one thing, Rutherford was a soccer fan, and bohr s brother harald (onlynineteen months younger than bohr) was famoushe had played in the silver medal http://galileo.phys.virginia.edu/classes/252/Bohr_Atom/Bohr_Atom.html
Extractions: Bohr Comes to Cambridge In 1911, the 26-year-old Niels Bohr earned a Ph. D. at the University of Copenhagen; his dissertation was titled "Studies on the Electron Theory of Metals". He was awarded a postdoctoral fellowship funded by the Carlsberg Brewery Foundation, which enabled him to go to Cambridge in September to study with J. J. Thomson. Bohr was a great admirer of Thomson's many achievements, both experimental and theoretical. In his thesis work, he had closely studied some of the problems covered in Thomson's book Conduction of Electricity through Gases. He had uncovered some apparent errors in Thomson's work, and looked forward to discussing these points with the great man. Unfortunately, by the time Bohr arrived, the Cavendish Laboratory had grown to the point where Thomson as director had more than he could manage. He had no spare time to think about electrons, and was not happy to hear from Bohr that some of his earlier work might be incorrect. In fact, Thomson went out of his way to avoid theoretical discussions with Bohr (Pais, page 195). He did assign Bohr an experiment on positive rays, but Bohr was not enthusiastic. (Rhodes, page 65) Bohr kept himself busy writing a paper on electrons in metals, reading Dickens to improve his English, and playing soccer. In December, Rutherford came down from Manchester for the annual Cavendish dinner. Bohr later said that he was deeply impressed by Rutherford's charm, his force of personality, and his patience to listen to every young man who might have an ideacertainly a refreshing change after J. J.! A little later, Bohr met with Rutherford again when he visited one of his father's friends in Manchester, someone who also knew Rutherford. Although Rutherford was usually skeptical of theorists, he liked Bohr. For one thing, Rutherford was a soccer fan, and Bohr's brother Harald (only nineteen months younger than Bohr) was famoushe had played in the silver medal winning Danish soccer team at the 1908 Olympics in London.
From Bohr's Atom To Electron Waves harald bohr wrote to his brother from Göttingen in the fall of 1913 that theyoung physicists there considered bohr s model too bold and fantastic . http://galileo.phys.virginia.edu/classes/252/Bohr_to_Waves/Bohr_to_Waves.html
Extractions: Reactions to Bohr's Model Bohr's interpretation of the Balmer formula in terms of quantized angular momentum was certainly impressive, but his atomic model didn't make much mechanical sense, as he himself conceded. For example, an electron jumping from the n th orbit to the m th emitted radiation at frequency equal to the energy difference of the orbits divided by h . Presumably, it began radiating as soon as it left its original orbit. As Rutherford put it in a letter to Bohr, "how does an electron decide what frequency it is going to vibrate at when it passes from one stationary state to another? It seems to me that you would have to assume that the electron knows beforehand where it is going to stop." A few days later, Bohr sent Rutherford another manuscript containing the correspondence principle argument gone over in our last lecture. This was a bit too long for Rutherford. He responded: "As you know, it is the custom in England to put things very shortly and tersely in contrast to the Germanic method, where it appears to be a virtue to be as long-winded as possible". Mysterious Spectral Lines One good reason for the Germanic skepticism was the recent discovery of apparently new spectral lines for hydrogen corresponding to half -integers in the Balmer formula. These new lines had been seen by a spectroscopist, Alfred Fowler, in a discharge tube containing a mixture of hydrogen and helium, and also in the spectra of a star by Pickering.
Det Kongelige Danske Videnskabernes Selskab Author(s), bohr, harald and Flanders, Donald A. Editor(s). Title, AlgebraicEquations with almostperiodic Coefficints. http://www.royalacademy.dk/SearchDatabase.asp?page=11
Det Kongelige Danske Videnskabernes Selskab Author(s), bohr, harald. Editor(s). Title, Neuer Beweis eines allgemeinenKronecker schen Approximationssatzes. Series, Matematiskfysiske Meddelelser http://www.royalacademy.dk/SearchDatabase.asp?page=10
The Mathematics Genealogy Project - Harald Bohr According to our current online database, harald bohr has 2 students and 14descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=44557
The Mathematics Genealogy Project - Update Data For Harald Bohr If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=44557
Mathematics List2 bohr, harald. Kleinere Beitrage Zur Theorie der Fastperiodischen Funktionen, III . harald bohr first published on Almost Periodic Functions in Acta http://www.significantbooks.com/mthl2.htm
Extractions: Go back to Catalog Lists To inquire about any of these items contact us by e-mail at: inquire@significantbooks.com Go To page Blank, Michael . Discreteness and Continuity in Problems of Chaotic Dynamics. 161 pp. American Mathematical Society. ( 1997 ) ( Hardback ) Very good condition. (Translations of Mathematical Monographs, Vol. 161 ) MATH13524 $40.00 Blaschke, W. Uber Eine Geometrische Frage von Euklid Bis Heute. 20 pp. Hamberger Mathematische Einzelschriften 23, Heft, 1938 ( Pamphlet ) Good condition, but with scrape to cover. ( The signature weyl appears on the front cover. ) MATH13235 $25.00 Bliss, G. Lectures on the Calculus of Variations 296 pp. "Univ. Chicago Good condition. MATH12635 $20.00 Blumenthal, Leonard M. Methods and Problems of Distance Geometry. 45 pp. Memorias de Matematica del Instituto Jorge Juan. No. 5. Madrid 1948 ( Pamphlet ) Good condition. MATH13826 $22.00 Boas, Ralph P. A Primer of Real Functions. 189 pp. Mathematical Association of America.(1960) ( Hardback) Very good condition, signature on title page. No dustjacket. MATH13891 $4.5
Bohr, Harald Spiller nr. 4 harald bohr. f. 22. april 1887. AB. 4 Alandskampe - 2 mål. 3 sejre0 uafgjorte 1 nederlag. 28 - 4 i målscore http://home6.inet.tele.dk/pin/landsholdet/Bohr_Harald.htm
Extractions: Renowned physicist and Nobel Prize laureate Niels Henrik David Bohr was born on October 7, 1885 in Copenhagen, Denmark. His mother hailed from a wealthy Jewish banking family and his father was a physiology professor at the University of Copenhagen. Bohr had two siblings, one of which, Harald Bohr, would later become a distinguished mathematician. During his childhood, Bohr was already demonstrating a penchant for understanding how things work, often fixing instruments, such as clocks, that needed repair. He excelled in his studies and graduated from high school in 1903. He was then accepted at the University of Copenhagen and there embarked on an impressive academic career in physics. Bohr's thesis concerning the determination of surface tension through vibrations of water jets garnered him a gold medal from the Royal Danish Academy of Science in 1907. After graduation that same year, he decided to stay on to pursue his Masters, which he received in 1909, and his doctorate, awarded in 1911. Bohr, primarily interested in electromagnetism and atomic theory, was awarded a travel grant by the Carlsberg Foundation in 1911. He planned to spend a year at the Cavendish Laboratory at Cambridge for research, but only stayed for a brief period since the director at the time, J.J. Thomson, did not express interest in his ideas. Though discouraged by Thomson, Bohr caught the attention of another physicist, Ernest Rutherford, and traveled to Manchester in 1912 to participate in the construction of his nuclear model of the atom. There he began the work that would dominate his career, but returned to Copenhagen that summer as scheduled, soon marrying Margrethe Norlund, with whom he would later have four sons.
Niels Bohr - Biography Niels bohr Niels Henrik David bohr was born in Copenhagen on October 7, 1885, Niels, together with his younger brother harald (the future Professor in http://nobelprize.org/physics/laureates/1922/bohr-bio.html
Extractions: HOME SITE HELP ABOUT SEARCH ... EDUCATIONAL Niels Henrik David Bohr was born in Copenhagen on October 7, 1885, as the son of Christian Bohr, Professor of Physiology at Copenhagen University, and his wife Ellen, Adler. Niels, together with his younger brother Harald (the future Professor in Mathematics), grew up in an atmosphere most favourable to the development of his genius - his father was an eminent physiologist and was largely responsible for awakening his interest in physics while still at school, his mother came from a family distinguished in the field of education. While still a student, the announcement by the Academy of Sciences in Copenhagen of a prize to be awarded for the solution of a certain scientific problem, caused him to take up an experimental and theoretical investigation of the surface tension by means of oscillating fluid jets. This work, which he carried out in his father's laboratory and for which he received the prize offered (a gold medal), was published in the Transactions of the Royal Society, 1908. Bohr's subsequent studies, however, became more and more theoretical in character, his doctor's disputation being a purely theoretical piece of work on the explanation of the properties of the metals with the aid of the electron theory, which remains to this day a classic on the subject. It was in this work that Bohr was first confronted with the implications of Planck's quantum theory of radiation.
Copenhagen . Niels Bohr | PBS In 1909 when his brother harald left to pursue his own academic endeavors, Bohrhired Margrethe Norlund to type his numerous papers. http://www.pbs.org/hollywoodpresents/copenhagen/story/bohr.html
Extractions: Niels Bohr, 1925 Niels Bohr was one of the most influential scientists of the 20th Century and a major force in the field of quantum physics. He won the 1922 Nobel Prize in physics for his study of the structure and radiation of atoms. [See the animation of "The Bohr Atom", below, right.] Bohr recognized that Ernest Rutherford's model of the atom, in which electrons emitted radiation continuously, was unstable according to the laws of classical physics. Bohr postulated that radiation is emitted from atoms not as a result of the periodic motion of the electron in its orbit, but only when an electron "jumps" from one orbit to another losing energy that is emitted as radiation. Bohr's theory of the compound nucleus , in which the repulsion between positively charged protons is countered by huge amounts of energy in order to hold the nucleus together, helped lead to the hypothesis that splitting an atom would produce enough energy to fabricate a powerful weapon. Bohr's father was a well-known Danish physiologist, his mother came from a wealthy family of Jewish bankers. Bohr earned his Ph.D. at the University of Copenhagen in 1911, then worked in Cambridge, England with J.J. Thomson, discoverer of the electron, and in Manchester with Rutherford, who proposed the first nuclear model of the atom.
Copenhagen . Margrethe Bohr | PBS She was studying French for a private teacher s certificate, when in 1910 shemet the brothers Niels and harald bohr, friends of her own brothers. http://www.pbs.org/hollywoodpresents/copenhagen/story/mbohr.html
Extractions: Margrethe Norlund and Niels Bohr engaged, 1911 Margrethe Norlund grew up the daughter of a pharmacist in the small Danish town of Slagelse, some 50 miles south-west of Copenhagen. She was studying French for a private teacher's certificate, when in 1910 she met the brothers Niels and Harald Bohr, friends of her own brothers. A year later she was engaged to Niels, and in 1912 they were married in a brief civil ceremony. They had six sons. Photo credits In the early 30s, the Danish government honored Niels by moving him and his family into the "Residence of Honor," a palatial mansion on the Carlsberg Brewery grounds reserved for the country's foremost scientist. There, Margrethe officiated with great warmth and charm over the many receptions held for visiting scientists and high dignitaries, from England's Queen Elizabeth II to the Indian Prime Minister Jawaharlal Nehru.
Elsevier.com - Complementarity Beyond Physics (1928-1962) Following the reproduction of papers brought to publication by bohr, the articles bohr wrote about the great Danish philosopher harald Høffding. http://www.elsevier.com/wps/product/cws_home/600556
Extractions: Home Site map Regional Sites Advanced Product Search ... Complementarity Beyond Physics (1928-1962) Book information Product description Author information and services Ordering information Bibliographic and ordering information Conditions of sale Book related information Submit your book proposal Other books in same subject area About Elsevier Select your view COMPLEMENTARITY BEYOND PHYSICS (1928-1962) This volume is divided into five parts. The title of the volume refers primarily to part I, which is by far the largest and comprises papers discussing the fundamental questions of biology and related psychological and philosophical problems. Following the reproduction of papers brought to publication by Bohr, there is a separate Appendix to Part I including some of Bohr's most interesting and substantive unpublished contributions in this area. The papers in Part I span the last thirty years of Bohr's life and display his great interest in biological problems and his unremitting efforts to show that biology cannot be reduced to physics and chemistry.
Niels Bohr Sister Jenny (b. 1883) Brother harald bohr (mathematician) Wife MargretheNorlund (m. 1Aug-1912) Son Aage N. bohr (physicist and Nobel Laureate) http://www.nndb.com/people/560/000024488/
Polytech Photos Hoved side / Hist / Lære / Portrætter / bohr, harald Niels bohr (18851962).Dansk fysiker. Her sammen med broderen harald. Mere information http://www.polytechphotos.dk/index.php?CatID=382
The Bohr Model Of The Atom On June 19, 1912, Niels bohr wrote to his brother harald. Perhaps I have foundout a little about the structure of atoms. I. Setting the Stage http://dbhs.wvusd.k12.ca.us/webdocs/Electrons/Bohr-Model-part1.html
Extractions: Current Issue Past Issues Search this Journal Editorial Board ... Viewing Abstracts with MathML Harald Bohr and Donald A. Flanders Source: Duke Math. J. Full-text: Access denied (no subscription detected) Access to Duke Mathematical Journal is available by subscription only. Please select one of the following options; or to exit this window, click your browser's back button.
