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Page "Foundations of mathematics" ¶ 53
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then and showed
But he came toward me sedately enough, showed me around the counter, offered me a seat inside his office, then walked to a file cabinet and got out my application.
I showed her the shower and tub, and she said, smiling, `` If you really don't mind, I think I'll get clean in the shower, then soak for a few minutes in your tub.
Now and then, the glistening side of a half-swamped object showed as it swept past.
He was then asked for a solution of the difficulty, and began to talk trenchant sense, though private anguish showed through in the vehemence of his manner.
Four subjects ( 10% ) did not change even then but needed the additional information that an arm-elevation under these circumstances was a perfectly normal reflex reaction which some people showed while others did not.
The artist for whom he showed particular sympathy and regard in London was Benjamin Haydon, who might at the time be counted the sole representative of historical painting there, and whom he especially honored for his championship of the then recently transported to England and ignorantly depreciated by polite connoisseurs Parthenon's marbles.
Atari Corp. then showed the Lynx to the press at the Summer 1989 CES as the " Portable Color Entertainment System ", which was changed to Lynx when actual consoles were distributed to resellers.
The introduction to Deuteronomy recalled how Yahweh had given the land to the Israelites but then withdrew the gift when Israel showed fear and only Joshua and Caleb had trusted in God.
He showed that if ρ ( x, t ) is the density of Brownian particles at point x at time t, then ρ satisfies the diffusion equation:
This is because if a group has sectional 2-rank at least 5 then MacWilliams showed that its Sylow 2-subgroups are connected, and the balance theorem implies that any simple group with connected Sylow 2-subgroups is either of component type or characteristic 2 type.
When asked about the " DK " logo in an interview, Jello Biafra explained, "... I wanted to make sure it was something simple and easy to spray-paint so people would graffiti it all over the place, and then I showed it to Winston Smith.
In 1926 von Neuman showed that if atomic states were understood as vectors in Hilbert space, then they would correspond with both Schrödinger's wave function theory and Heisenberg's matrices.
The production of Dolly showed that genes in the nucleus of such a mature differentiated somatic cell are still capable of reverting back to an embryonic totipotent state, creating a cell that can then go on to develop into any part of an animal.
of 1901, which showed a tramp stealing a leg of mutton from a butcher's boy in the first shot, then being chased through the second shot by the butcher's boy and assorted dogs, and finally being caught by the dogs in the third shot.
Air-to-air missiles largely replaced guns and rockets in the early 1960s since both were believed unusable at the speeds being attained, however the Vietnam War showed that guns still had a role to play and most fighters built since then are fitted with cannon ( typically between 20 and 30 mm in caliber ) as an adjunct to missiles.
" And by the soul and Him Who perfected it, then showed it what is right and what is wrong for it-indeed, he succeeds who purifies his soul, and, indeed, he fails who corrupts his soul.
Initially Eiffel showed little enthusiasm, although he did sanction further study of the project, and the two engineers then asked Stephen Sauvestre to add architectural embellishments.
Khrushchev wrote in his ( unreliable ) memoirs that Beria had, immediately after the stroke, gone about " spewing hatred against and mocking him ", and then, when Stalin showed signs of consciousness, dropped to his knees and kissed his hand.
The answer to this question turned out to be negative: in 1952, Gleason, Montgomery and Zippin showed that if G is a topological manifold with continuous group operations, then there exists exactly one analytic structure on G which turns it into a Lie group ( see also Hilbert – Smith conjecture ).
Using quantum theory Dirac showed that if magnetic monopoles exist, then one could explain the quantization of electric charge --- that is, why the observed elementary particles carry charges that are multiples of the charge of the electron.
He then crossed the Dardanelles to Asia with a large army ; but the young Sultan showed in this emergency that he possessed military and political abilities worthy of his best ancestors.
Hook commented that the only positive thing to come out of the Movement sessions was that producer Martin Hannett had showed the band how to use a mixing board, which allowed them to produce records by themselves from then on.
Hertz observed and then showed that electrodes illuminated with ultraviolet light create electric sparks more easily.
Refound by J. J. Thomson and then more decisively by Frederic Palmer, Jr., it was studied and showed very different characteristics than those at first attributed to it by Lenard.
Perelman showed how to continue past these singularities: very roughly, he cuts the manifold along the singularities, splitting the manifold into several pieces, and then continues with the Ricci flow on each of these pieces.

then and der
She then studied for two years with the painter Francis Adolf Van der Wielen, who offered lessons in perspective and drawing from casts during the time that the new Pennsylvania Academy of the Fine Arts was under construction.
In 1584, the pastor and chronicler Balthasar Russow in his Chronica der Provinz Lyfflandt ( 1584 ) wrote of an established tradition of setting up a decorated spruce at the market square where the young men " went with a flock of maidens and women, first sang and danced there and then set the tree aflame ".
Between 1240 and 1270, Dachau was granted market privileges, first by Duke Otto II, and then by his son, Duke Ludwig II der Strenge.
Then he announced to the world: " The independence of Austria, for which he has fallen, is a principle that has been defended and will be defended by Italy even more strenuously ", and then replaced in the main square of Bolzano the statue of Walther von der Vogelweide, a Germanic troubadour, with that of Drusus, a Roman general who conquered part of Germany.
In the published version, Heidegger refers to the " inner truth and greatness " of the National Socialist movement ( die innere Wahrheit und Größe dieser Bewegung ), but he then adds a qualifying statement in parentheses: " namely, the confrontation of planetary technology and modern humanity " ( nämlich die Begegnung der planetarisch bestimmten Technik und des neuzeitlichen Menschen ).
Many couplets from Busch's humorous verses have achieved the status of adages in the German language, such as " Vater werden ist nicht schwer, Vater sein dagegen sehr " (" It's easy to become a father, but being one is harder rather ") or " Dieses war der erste Streich, doch der zweite folgt sogleich " (" This was the first initial trick, but then the second follows quick ").
A common misbelief is that in late 13th century Bruges commodity traders gathered inside the house of a man called Van der Beurze, and in 1309 they became the " Brugse Beurse ", institutionalizing what had been, until then, an informal meeting, but actually, the family Van der Beurze had a building in Antwerp where those gatherings occurred ; the Van der Beurze had Antwerp, as most of the merchants of that period, as their primary place for trading.
To commemorate the day that marks the official unification of the former East and West Germany in 1990, 3 October has since then been the official German national holiday, the Day of German Unity ( Tag der deutschen Einheit ).
If one assumes that the electron is in the ground state, then the van der Waals binding energy is essentially the change of the zero-point energy:
Some texts mean by the van der Waals force the totality of forces ( including repulsion ); others mean all the attractive forces ( and then sometimes distinguish van der Waals-Keesom, van der Waals-Debye, and van der Waals-London ).
The van der Waals force between two spheres of constant radii ( R < sub > 1 </ sub > and R < sub > 2 </ sub > are treated as parameters ) is then a function of separation since the force on an object is the negative of the derivative of the potential energy function ,.
Two years before the merger, German architect Ludwig Mies van der Rohe joined the then Armour Institute of Technology to head both Armour's and the Art Institute of Chicago's architecture program.
For example Louis Grodecki argued that the lateral doors of the transept portals were cut through the walls at a later date, and van der Meulen that they had wanted to rebuild the western portals ( then only 50 years old ).
In 1870 Wilhelm Sigismund Teuffel in Geschichte der Römischen Literatur ( A History of Roman Literature ) innovated the definitive philological classification of classical Latin based on the metaphoric uses of the ancient myth of the Ages of Man, a practice then universally current: a Golden Age and a Silver Age of classical Latin were to be presumed.
In late 13th century Bruges commodity traders gathered inside the house of a man called Van der Beurse, and in 1309 they became the " Bruges Beurse ", institutionalizing what had been, until then, an informal meeting.
Luther Adler had previously portrayed Hitler in two 1951 feature films: The Magic Face, a fantasy about a European impersonator who somehow manages to murder " der Fuehrer " and then assumes his identity ; and The Desert Fox, a drama about Erwin Rommel.
* Van der Waerden's theorem: For any given c and n, there is a number V, such that if V consecutive numbers are coloured with c different colours, then it must contain an arithmetic progression of length n whose elements are all the same colour.
A theorem similar to van der Waerden's theorem is Schur's theorem: for any given c there is a number N such that if the numbers 1, 2, ..., N are coloured with c different colours, then there must be a pair of integers x, y

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