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Helmut Ulm
Helmut Ulm (born 21 June 1908 in Gelsenkirchen; died 13 June 1975) was a German mathematician who established the classification of countable periodic abelian groups by means of their Ulm invariants. Career Helmut Ulm's father was an elementary school teacher in Elberfeld. After finishing high school in Wuppertal in 1926, he attended the universities of Göttingen (1926–1927), Jena (1927) and Bonn (1927–1930), where he studied mathematics and physics, attending the lectures of Richard Courant, Erich Bessel-Hagen, Felix Hausdorff, and the joint Hausdorff–Otto Toeplitz seminar. He graduated summa cum laude in 1930 with a thesis about countable periodic abelian groups (1933). In 1933–1935 he was an assistant in Göttingen and worked with Wilhelm Magnus and Olga Taussky-Todd editing David Hilbert's ''Collected Works''. His Habilitationsschrift developed a generalization of the elementary divisor theory to infinite matrices, continuing ideas of Ulm's teacher Toeplitz. It ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toeplitz Hagemann Vieth Ulm Köthe 1930 MFO4233
Toeplitz or Töplitz may refer to: Places * Töplitz, the German name of Toplița, a city in Romania * Toplița, Hunedoara, a commune in Romania * Teplice (archaic German: ''Töplitz''), Czech Republic People * Jerzy Toeplitz (1909–1995), co-founder of the Polish Film School * Kasper T. Toeplitz (born 1960), Polish-French composer * Otto Toeplitz (1881–1940), German Jewish mathematician See also * Dolenjske Toplice, a settlement in southeastern Slovenia * Toeplitz matrix, a structured matrix with equal values along diagonals * Toeplitz operator, the compression of a multiplication operator on the circle to the Hardy space * Toeplitz algebra, the C*-algebra generated by the unilateral shift on the Hilbert space * Toeplitz Hash Algorithm, used in many network interface controllers * Hellinger–Toeplitz theorem, an everywhere defined symmetric operator on a Hilbert space is bounded * Silverman–Toeplitz theorem In mathematics, the Silverman–Toeplitz theorem, first prove ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Summa Cum Laude
Latin honors are a system of Latin phrases used in some colleges and universities to indicate the level of distinction with which an academic degree has been earned. The system is primarily used in the United States. It is also used in some Southeastern Asian countries with European colonial history, such as Indonesia and the Philippines, although sometimes translations of these phrases are used instead of the Latin originals. The honors distinction should not be confused with the honors degrees offered in some countries, or with honorary degrees. The system usually has three levels of honor: ''cum laude'', ''magna cum laude'', and ''summa cum laude''. Generally, a college or university's regulations set out definite criteria a student must meet to obtain a given honor. For example, the student might be required to achieve a specific grade point average, submit an honors thesis for evaluation, be part of an honors program, or graduate early. Each school sets its own standards. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pers Z S
The Pers Z S was the signals intelligence agency of the German Foreign Office (german: Auswärtiges Amt) before and during World War II. It consisted of two cryptologic sections. Pers Z S was the cryptanalytic section which was called ''Special Service of Z Branch of the Foreign Office Personnel Department'' (german: Sonderdienst des Referats Z in der Personalabteilung des Auswärtigen Amtes). Its mission was the solution of foreign diplomatic codes and ciphers. The other section, which was the Cryptography Section was called ''Personal Z Cipher Service of the Federal Foreign Office'' (german: Personal Z Chiffrierdienst des Auswärtigen Amtes) (abbr. Pers Z Chi). The latter section was responsible for compilation, distribution and security of Foreign Office codes and ciphers. Both were colloquially known as Pers Z S. Though similar in nature and operation to the OKW/Chi cipher bureau, it was a civilian operation as opposed to the military operation at OKW/Chi and focused primarily o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cryptographer
Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or '' -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adversarial behavior. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security (data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, chip-based payment cards, digital currencies, computer passwords, and military communications. Cryptography prior to the modern age was effectively synonym ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies of World War II, Allies and the Axis powers. World War II was a total war that directly involved more than 100 million Military personnel, personnel from more than 30 countries. The major participants in the war threw their entire economic, industrial, and scientific capabilities behind the war effort, blurring the distinction between civilian and military resources. Air warfare of World War II, Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the Atomic bombings of Hiroshima and Nagasaki, only two nuclear weapons ever used in war. World War II was by far the List of wars by death toll, deadliest conflict in hu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Münster
The University of Münster (german: Westfälische Wilhelms-Universität Münster, WWU) is a public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over 120 fields of study in 15 departments, it is Germany's fifth largest university and one of the foremost centers of German intellectual life. The university offers a wide range of subjects across the sciences, social sciences and the humanities. Several courses are also taught in English, including PhD programmes as well as postgraduate courses in geoinformatics, geospational technologies or information systems. Professors and former students have won ten Leibniz Prizes, the most prestigious as well as the best-funded prize in Europe, one Fields Medal and two Nobel Prizes. The WWU has also been successful in the German government's Excellence Initiative. History The university has its roots in the Münster's Jesuit College (''Jesuiten-Kolleg Münster' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nazi
Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right politics, far-right Totalitarianism, totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Nazi Germany. During Hitler's rise to power in 1930s Europe, it was frequently referred to as Hitlerism (german: Hitlerfaschismus). The later related term "neo-Nazism" is applied to other far-right groups with similar ideas which formed after the Second World War. Nazism is a form of fascism, with disdain for liberal democracy and the parliamentary system. It incorporates a dictatorship, fervent antisemitism, anti-communism, scientific racism, and the use of eugenics into its creed. Its extreme nationalism originated in pan-Germanism and the ethno-nationalist ''Völkisch movement, Völkisch'' movement which had been a prominent aspect of German nationalism since the late 19th century, and it was strongly i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gottfried Köthe
Gottfried Maria Hugo Köthe (born 25 December 1905 in Graz – died 30 April 1989 in Frankfurt) was an Austrian mathematician working in abstract algebra and functional analysis. Scientific career In 1923 Köthe enrolled in the University of Graz. He started studying chemistry, but switched to mathematics a year later after meeting the philosopher Alfred Kastil. In 1927 he submitted his thesis ''Beiträge zu Finslers Grundlegung der Mengenlehre'' ("Contributions to Finsler's foundations of set theory") and was awarded a doctorate. After spending a year in Zürich working with Paul Finsler, Köthe received a fellowship to visit the University of Göttingen, where he attended the lectures of Emmy Noether and Bartel van der Waerden on the emerging subject of abstract algebra. He began working in ring theory and in 1930 published the Köthe conjecture stating that a sum of two left nil ideals in an arbitrary ring is a nil ideal. By a recommendation of Emmy Noether, he was appoin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heinrich Behnke
Heinrich Adolph Louis Behnke ( Horn, 9 October 1898 – Münster, 10 October 1979) was a German mathematician and rector at the University of Münster. Life and career He was born into a Lutheran family in Horn, a suburb of Hamburg. He attended the University of Göttingen and submitted his doctoral thesis to the University of Hamburg. He was noted for work on complex analysis with Henri Cartan and Peter Thullen. His first wife, Aenne Albersheim, was Jewish, but she died soon after the birth of their son. He was concerned about his son's ethnicity during the Nazi period. In 1936 he was elected a member of the '' Deutsche Akademie der Naturforscher Leopoldina''. Selected publications *with Peter Thullen: Theorie der Funktionen mehrerer komplexer Veränderlicher, Springer Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1934, 2nd edn. with collaboration by Reinhold Remmert 1970 *with Friedrich Sommer: Theorie der Funktionen einer komplexen Veränderlichen, Spri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elementary Divisor
In algebra, the elementary divisors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain. If R is a PID and M a finitely generated R-module, then ''M'' is isomorphic to a finite sum of the form ::M\cong R^r\oplus \bigoplus_^l R/(q_i) \qquad\textr,l\geq0 :where the (q_i) are nonzero primary ideals. The list of primary ideals is unique up to order (but a given ideal may be present more than once, so the list represents a multiset of primary ideals); the elements q_i are unique only up to associatedness, and are called the ''elementary divisors''. Note that in a PID, the nonzero primary ideals are powers of prime ideals, so the elementary divisors can be written as powers q_i=p_i^ of irreducible elements. The nonnegative integer r is called the ''free rank'' or ''Betti number'' of the module M. The module is determined up to isomorphism by specifying its free rank , and for class of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitationsschrift
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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