|
Georg Aumann
Georg Aumann (11 November 1906, Munich, Germany – 4 August 1980), was a German mathematician. He was known for his work in general topology and regulated functions. During World War II, he worked as part of a group of five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Alexander Aigner, Oswald Teichmueller and Johann Friedrich Schultze, and led by Wolfgang Franz, to form the backbone of the new mathematical research department in the late 1930s, which would eventually be called: Section IVc of Cipher Department of the High Command of the Wehrmacht (abbr. OKW/Chi). He also worked as a cryptanalyst, on the initial breaking of the most difficult cyphers. He also researched and developed cryptography theory. Life Born in Munich, George Aumann initially considered a career as a civil servant. From 1925, Aumann studied mathematics and physics at the Ludwig-Maximilian-University of Munich, among others with Professor Constantin Carathéodory and P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Munich
Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the States of Germany, German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the List of cities in Germany by population, third-largest city in Germany, after Berlin and Hamburg, and thus the largest which does not constitute its own state, as well as the List of cities in the European Union by population within city limits, 11th-largest city in the European Union. The Munich Metropolitan Region, city's metropolitan region is home to 6 million people. Straddling the banks of the River Isar (a tributary of the Danube) north of the Northern Limestone Alps, Bavarian Alps, Munich is the seat of the Bavarian Regierungsbezirk, administrative region of Upper Bavaria, while being the population density, most densely populated municipality in Germany (4,500 people per km2). Munich is the second-largest city in the Bavarian dialects, Bavarian dialect area, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contact Relation
In mathematics, a binary relation associates elements of one set, called the ''domain'', with elements of another set, called the ''codomain''. A binary relation over sets and is a new set of ordered pairs consisting of elements in and in . It is a generalization of the more widely understood idea of a unary function. It encodes the common concept of relation: an element is ''related'' to an element , if and only if the pair belongs to the set of ordered pairs that defines the ''binary relation''. A binary relation is the most studied special case of an -ary relation over sets , which is a subset of the Cartesian product X_1 \times \cdots \times X_n. An example of a binary relation is the "divides" relation over the set of prime numbers \mathbb and the set of integers \mathbb, in which each prime is related to each integer that is a multiple of , but not to an integer that is not a multiple of . In this relation, for instance, the prime number 2 is related to number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cipher
In cryptography, a cipher (or cypher) is an algorithm for performing encryption or decryption—a series of well-defined steps that can be followed as a procedure. An alternative, less common term is ''encipherment''. To encipher or encode is to convert information into cipher or code. In common parlance, "cipher" is synonymous with "code", as they are both a set of steps that encrypt a message; however, the concepts are distinct in cryptography, especially classical cryptography. Codes generally substitute different length strings of characters in the output, while ciphers generally substitute the same number of characters as are input. There are exceptions and some cipher systems may use slightly more, or fewer, characters when output versus the number that were input. Codes operated by substituting according to a large codebook which linked a random string of characters or numbers to a word or phrase. For example, "UQJHSE" could be the code for "Proceed to the following ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cryptanalyst
Cryptanalysis (from the Greek ''kryptós'', "hidden", and ''analýein'', "to analyze") refers to the process of analyzing information systems in order to understand hidden aspects of the systems. Cryptanalysis is used to breach cryptographic security systems and gain access to the contents of encrypted messages, even if the cryptographic key is unknown. In addition to mathematical analysis of cryptographic algorithms, cryptanalysis includes the study of side-channel attacks that do not target weaknesses in the cryptographic algorithms themselves, but instead exploit weaknesses in their implementation. Even though the goal has been the same, the methods and techniques of cryptanalysis have changed drastically through the history of cryptography, adapting to increasing cryptographic complexity, ranging from the pen-and-paper methods of the past, through machines like the British Bombes and Colossus computers at Bletchley Park in World War II, to the mathematically advanced comput ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cipher Department Of The High Command Of The Wehrmacht
The Cipher Department of the High Command of the Wehrmacht (german: Amtsgruppe Wehrmachtnachrichtenverbindungen, Abteilung Chiffrierwesen) (also ''Oberkommando der Wehrmacht Chiffrierabteilung'' or ''Chiffrierabteilung of the High Command of the Wehrmacht'' or ''Chiffrierabteilung of the OKW'' or ''OKW/Chi'' or ''Chi'') was the Signal Intelligence Agency of the Supreme Command of the Armed Forces of the German Armed Forces before and during World War II. OKW/Chi, within the formal order of battle hierarchy OKW/WFsT/Ag WNV/Chi, dealt with the cryptanalysis and deciphering of enemy and neutral states' message traffic and security control of its own key processes and machinery, such as the rotor cipher machine ENIGMA machine. It was the successor to the former Chi bureau (german: Chiffrierstelle) of the Reichswehr Ministry. Short name The letter "Chi" for the ''Chiffrierabteilung'' ("cipher department") is, contrary to what one might expect, not the Greek letter Chi , nor anythin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolfgang Franz (mathematician)
Wolfgang Franz (born 4 October 1905 in Magdeburg, Germany; died 26 April 1996) was a German mathematician who specialized in topology particularly in 3-manifolds, which he generalized to higher dimensions. He is known for the Reidemeister–Franz torsion. He also made important contributions to the theory of lens spaces. During World War II Franz led a group of five mathematicians, recruited by Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Alexander Aigner, Oswald Teichmüller and Johann Friedrich Schultze, to form the backbone of the new mathematical research department in the field of cryptology, in the late 1930s. This would eventually be known as: Section IVc of Cipher Department of the High Command of the Wehrmacht (abbr. OKW/Chi). After the war, he returned to teach at the Goethe University Frankfurt and was awarded the Chair of Mathematics in 1949. In 1967 he became the Chairman of the German Mathematical Society. He became Dean of the Faculty of Scien ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Friedrich Schultze (mathematician)
Johann, typically a male given name, is the German form of ''Iohannes'', which is the Latin form of the Greek name ''Iōánnēs'' (), itself derived from Hebrew name ''Yochanan'' () in turn from its extended form (), meaning "Yahweh is Gracious" or "Yahweh is Merciful". Its English language equivalent is John. It is uncommon as a surname. People People with the name Johann include: A–K * Johann Adam Hiller (1728–1804), German composer * Johann Adam Reincken (1643–1722), Dutch/German organist * Johann Adam Remele (died 1740), German court painter * Johann Adolf I, Duke of Saxe-Weissenfels (1649–1697) * Johann Adolph Hasse (1699-1783), German Composer * Johann Altfuldisch (1911—1947), German Nazi SS concentration camp officer executed for war crimes * Johann Andreas Eisenmenger (1654–1704), German Orientalist * Johann Baptist Wanhal (1739–1813), Czech composer * Johann Bernhard Fischer von Erlach (1656–1723), Austrian architect * Johann Bernoulli (1667–1748), Swis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oswald Teichmueller
Oswald may refer to: People *Oswald (given name), including a list of people with the name *Oswald (surname), including a list of people with the name Fictional characters *Oswald the Reeve, who tells a tale in Geoffrey Chaucer's ''The Canterbury Tales'' *Oswald, servant of Goneril in Shakespeare's play ''King Lear'' *Oswald Bastable, in E. Nesbit's novel ''The Story of the Treasure Seekers'' and Michael Moorcock's unrelated novel ''The Warlord of the Air'' *Roald Dahl's title character in the novel ''My Uncle Oswald'', as well as two short stories *Oswald the Lucky Rabbit, a cartoon character from the 1920s and 1930s created by Walt Disney *Oswald Chesterfield Cobblepot, Batman villain better known as the Penguin *Oswald Baskerville, in the Pandora Hearts manga *Oswald (comics), a Marvel Comics mutant *Clara Oswald, a character in the British science fiction TV series ''Doctor Who'' *Oswald Danes, in the British science fiction TV series ''Torchwood: Miracle Day'' *Oswald "Otto" ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Aigner
Alexander Aigner (18 May 1909 – 2 September 1988) was number theorist and a full university professor for mathematics at the Karl Franzens University in Graz, Austria. During World War II he was part of a group of five mathematicians, which was recruited by the military cryptanalyst Wilhelm Fenner, and which included Ernst Witt, Georg Aumann, Oswald Teichmueller and Johann Friedrich Schultze, to form the backbone of the new mathematical research department in the late 1930s, which would eventually be called Section IVc of Cipher Department of the High Command of the Wehrmacht. (abbr. OKW/Chi).TICOM reports DF-187 A-G and DF-176, ‘European Axis Signal Intelligence in World War II’ vol 2 The group was led by the German professor of mathematics Wolfgang Franz. Life Alexander Aigner was the son of noted medical doctor Oktavia Aigner-Rollett and anatomist Walter Aigner (1878–1950). He is the grandson of noted physiologist and histologist of Alexander Rollett. He st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Witt
Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time. Biography Witt was born on the island of Alsen, then a part of the German Empire. Shortly after his birth, his parents moved the family to China to work as missionaries, and he did not return to Europe until he was nine. After his schooling, Witt went to the University of Freiburg and the University of Göttingen. He joined the NSDAP (Nazi Party) and was an active party member. Witt was awarded a Ph.D. at the University of Göttingen in 1934 with a thesis titled: "Riemann-Roch theorem and zeta-Function in hypercomplexes" (Riemann-Rochscher Satz und Zeta-Funktion im Hyperkomplexen) that was supervised by Gustav Herglotz with Emmy Noether suggesting the top for the doctorate. He qualified to become a lecturer and gave guest lectures in Göttingen and Hamburg. He became associated with the team led by Helmut Hasse who led his habilitation. In June 1936 gave his habil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wilhelm Fenner
Wilhelm Fenner (* 14 April 1891 in Saint Petersburg † after 1946) was a German Cryptanalysis, cryptanalyst, before and during the time of World War II in the OKW/Chi, the Cipher Department of the High Command of the Wehrmacht, working within the main cryptanalysis group, and entrusted with deciphering enemy message traffic (Cryptography). Wilhelm Fenner was considered an excellent organizer, an Nazism, anti-Nazi, an Bolsheviks, anti-Bolshevik and a confirmed Protestantism, Protestant and was known by colleagues as someone who was keen to continue working in cryptology after World War II. To quote military historian David Alvarez: :''Wilhelm Fenner was the central figure in the evolution of the German Cipher Bureau between 1922 and 1939, and a major personality in the history of German communications intelligence in the interwar period. Under his direction, the Cipher Bureau evolved into a highly professional communications intelligence service, which scored impressive cryptana ... [...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 vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies and the Axis powers. World War II was a total war that directly involved more than 100 million 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. Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the only two nuclear weapons ever used in war. World War II was by far the deadliest conflict in human history; it resulted in 70 to 85 million fatalities, mostly among civilians. Tens of millions died due to genocides (including the Holocaust), starvation, ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.svg "Click for more on -> Munich")
