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Page "Otto I, Duke of Brunswick-Lüneburg" ¶ 9
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proof and Otto
For example, by 1952 members of the SS like Otto Skorzeny could be declared formally denazified () in absentia by a German government arbitration board and without any proof that this was true.
To his surprise, Herzl is a Holocaust survivor and Nazi hunter who shows him photographic proof that Otto used to work for the Third Reich.
The first written proof of Wessem's existence found, according to Crassier in his Dictionaire ( Dictionary ), is in a Charter of 946, when Emperor Otto I confirmed to the abbey of Gembloux, the possession in Wessem of a mill and a brewery.
Otto Preminger was shown the galley proof of the 1, 064-page Gilden manuscript by his brother Ingo and, fully expecting it to be another Gone with the Wind, purchased the film rights to the novel for $ 100, 000 eight months prior to its publication.

proof and had
In any event, the critical productivity of that time is abundant proof that if he was taking laudanum, it was never in command of him to the extent that it had been during his vagrant years.
Both Alfred Harcourt and Donald Brace had written him enthusiastic praise of Elmer Gantry ( any changes could be made in proof, which was already coming from the printer ) and they had ordered 140,000 copies -- the largest first printing of any book in history.
so that the absence of the hymen is by no means positive proof that a girl has had sex relations.
But I had the proof, all documented in a legal agreement which I would show her the moment I was free to do so.
Mordell's theorem had an ad hoc proof ; Weil began the separation of the infinite descent argument into two types of structural approach, by means of height functions for sizing rational points, and by means of Galois cohomology, which was not to be clearly named as that for two more decades.
He had introduced the adele ring in the late 1930s, following Claude Chevalley's lead with the ideles, and given a proof of the Riemann – Roch theorem with them ( a version appeared in his Basic Number Theory in 1967 ).
Stilicho is alleged by some to have wanted control of both Emperors, and is supposed to have had Rufinus assassinated by Gothic mercenaries in 395 ; though definite proof of Stilicho's involvement in the assassination is lacking, the intense competition and political jealousies engendered by the two figures compose the main thread of the first part of Arcadius ' reign.
He had been well educated, and was versed in grammar and rhetoric, and had already, while still a young man, and before reaching the episcopate, given proof to those who dwelt with him of his wisdom and acumen " ( Soz., II, xvii ).
He had power to lay down a human sense of life for his spiritual identity in the likeness of the divine ; but he allowed men to attempt the destruction of the mortal body in order that he might furnish the proof of immortal life.
Daniel Gorenstein announced in 1983 that the finite simple groups had all been classified, but this was premature as he had been misinformed about the proof of the classification of quasithin groups.
Hubbard claimed, in an interview with the New York Times in November 1950, that " he had already submitted proof of claims made in the book to a number of scientists and associations.
At the last moment, when his immense work was drawing to an end, he encountered a crowning mortification: he discovered that the bookseller, fearing the government's displeasure, had struck out from the proof sheets, after they had left Diderot's hands, all passages that he considered too dangerous.
Although Kronecker had conceded, Hilbert would later respond to others ' similar criticisms that " many different constructions are subsumed under one fundamental idea " — in other words ( to quote Reid ): " Through a proof of existence, Hilbert had been able to obtain a construction "; " the proof " ( i. e. the symbols on the page ) was " the object ".
Duesberg argued in 1989 that a significant number of AIDS victims had died without proof of HIV infection.
concluded that a certain equation considered by Diophantus had no solutions, and noted without elaboration that he had found " a truly marvelous proof of this proposition ," now referred to as Fermat's Last Theorem.
The imaginary company had produced a proof of the Riemann Hypothesis but then had great difficulties collecting royalties from mathematicians who had proved results assuming the Riemann Hypothesis.

proof and full
The full significance of Bolzano's theorem, and its method of proof, would not emerge until almost 50 years later when it was rediscovered by Karl Weierstrass.
Sun Zi's work contains neither a proof nor a full algorithm.
A proof of the politically stabilizing effect of the banana boom of the 1950s is that even Velasco, who in 1952 was elected president for the third time, managed to serve out a full four-year term.
* John Morgan and Gang Tian posted a paper on the arXiv in July 2006 which gave a detailed proof of just the Poincaré Conjecture ( which is somewhat easier than the full geometrization conjecture ) and expanded this to a book.
For contemporary Marxists, the existence of persistent unemployment is proof of the inability of capitalism to ensure full employment.
At this time he commented on the readmission of the confederate states: " The burden of proof rests on each of them to show whether it is fit again to enter the federal circle in full communion of privilege.
However, the result only holds under the restrictive assumptions necessary for the proof ( markets exist for all possible goods so there are no externalities, all markets are in full equilibrium, markets are perfectly competitive, transaction costs are negligible, and market participants have perfect information ).
Ackermann was born in Herscheid municipality, Germany, and was awarded a Ph. D. by the University of Göttingen in 1925 for his thesis Begründung des " tertium non datur " mittels der Hilbertschen Theorie der Widerspruchsfreiheit, which was a consistency proof of arithmetic apparently without full Peano induction ( although it did use e. g. induction over the length of proofs ).
But though it contains proof of vast erudition and many original ideas as to the future of the state and of law, it lacks logical sequence, and is, consequently, full of contradictions.
The theorem is named after Andrey Nikolayevich Tychonoff, who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same as for the special case.
When the requirements of burden of proof for a divorce are difficult to meet, in most jurisdictions, an a mensa et thoro ruling assures the couple a slot in the court's schedule whenever they file for a full divorce, by showing that they were both serious about their separation.
In January 2009, at an IHES anniversary conference for Alexander Grothendieck, Voevodsky announced a proof of the full Bloch-Kato conjectures.
This was adopted by David Hilbert and Paul Bernays as the " contentual " finitist system for metamathematics, in which a proof of the consistency of other mathematical systems ( e. g. full Peano Arithmetic ) was to be given.
Auto giant Tata Motors of India has assessed the design passing phase 1, the " proof of the technical concept " towards full production for the Indian market.
This was done without reference to the insurer concerned whose normal practice in such circumstances would have been to maintain cover and to require payment of the full premium until proof of the no claims discount was forthcoming.
Tata Motors announced in May 2012 that they have assessed the design passing phase 1, the " proof of the technical concept " towards full production for the Indian market.
These tools, developed in full by Grothendieck and collaborators in Séminaire de géométrie algébrique ( SGA ) 4 and SGA 5, provided the tools for the eventual proof of the Weil conjectures.
Grigori Perelman sketched a proof of the full geometrization conjecture in 2003 using Ricci flow with surgery.
This method, with full details leading to the proof of Geometrization, can be found in the exposition by B. Kleiner and J. Lott in ' Notes on Perelman's papers ' in the journal Geometry & Topology.
Adrien-Marie Legendre, one of the referees, soon completed the proof for this case ; Dirichlet completed his own proof a short time after Legendre, and a few years later produced a full proof for the case.
If superposition is to be considered a valid method of geometric proof, all of geometry would be full of such proofs.
The mathematical structure of modal logic, namely Boolean algebras augmented with unary operations ( often called modal algebras ), began to emerge with J. C. C. McKinsey's 1941 proof that S2 and S4 are decidable, and reached full flower in the work of Alfred Tarski and his student Bjarni Jonsson ( Jonsson and Tarski 1951 – 52 ).
He was also the first to introduce the notion of rational approximations of functions ( nowadays known as Pade approximants ), and gave the first full proof for the Cayley – Hamilton theorem.

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