After graduating in 1910, Banach and Wiłkosz moved to Lwów.

After obtaining his matura ( high school degree ) at age 18 in 1910 Banach, together with Wiłkosz, moved to Lwów with the intention of studying at the Lwów Polytechnic.

After Poland regained independence, in 1920 Banach was given an assistantship at Kraków's Jagiellonian University.

After the Red Army recaptured Lviv in the Lvov – Sandomierz Offensive of 1944, Banach returned to the University and helped re-establish it after the war years.

After significant analytical argument ( completing in a suitable Sobolev norm, applying the implicit function theorem and Sard's theorem for Banach manifolds, and using elliptic regularity to recover smoothness ) one can show that, for a generic choice of-tame and perturbation, the set of-holomorphic curves of genus with marked points that represent the class forms a smooth, oriented orbifold

After the Aster having been a few years on the Market Tandy released its own improved model, the TRS-80 Model 3 computer which solved many of the same problems that the Aster also had solved, but the model 3 still did not fully support CP / M as the Aster did.

After important contributions of Hendrik Lorentz and Henri Poincaré, in 1905, Albert Einstein solved the problem with the introduction of special relativity, which replaces classical kinematics with a new theory of kinematics that is compatible with classical electromagnetism.

After constructing the full theory of general relativity in 1916, Einstein solved for the space-space components in a post-Newtonian approximation, and calculated the correct amount of light deflection – double the Newtonian value.

After a number of problems had been discovered and solved, the computer began operation in 1951 although only on a limited basis.

After that smaller system has been solved ( whether by further application of the substitution method or by other methods ), substitute the solutions found for the variables in the above right-hand side expression.

After the problem has been solved in the world of mathematics, the solution must be translated back into the context of the original problem.

After production of the polymer, the aramid fiber is produced by spinning the solved polymer to a solid fiber from a liquid chemical blend.

After description of the Austrian-Hungarian flags used on sea during 19th century on eastern Adriatic, and after a paragraph on national colours ( i. e. Croatian national tricolour based flags ) used as house flags and owner's signals on ships beside the A-H ensign, Isaić writes: " For river navigation the flag hoisting was solved with legislation of 1869 according to which each ship was to hoist its national flag.

After 7 weeks, Gowers announced on his blog that the problem was " probably solved ", The success of the Polymath1 has spawned additional Polymath collaborations.

After the case is solved, they make their previously vague predictions somehow fit the crime and the criminal.

After Gillogly's announcement, the CIA revealed that their analyst David Stein had also solved the same sections in 1998, using pencil and paper techniques, though at the time of his solution the information was only disseminated within the intelligence community, and no public announcement was made.

After one case is solved, Fabbri takes her home to wine and dine her, much to Rez's chagrin.

After heavy losses in front of Hilli, the Indian division solved this problem by swinging around to the north and unleashing 340 Brigade under Brigadier Joginder Singh Bakshi.

After her death the problem of flying her remains home was solved by an offer from Cargolux, the Luxembourg-based air freight company.

After some time, if the problem has not been solved, the cell will be targeted for apoptosis ( programmed cell death ), a safety mechanism to avoid the generation of aneuploidy, a situation which generally has dramatic consequences for the organism.

After considering the issue solved, the Cuban government moved beyond the issue of racism.

After that case was solved, Bo became her sleuthing partner and best friend.

After all the leads went dry, the case was eventually abandoned and never solved.

After the problem of getting the gun to fit in the Sherman's turret was solved, the Firefly was put into production in early 1944, in time to equip Field Marshal Montgomery's forces for the Normandy landings.

After all the 9 problems are solved, the teams will be ranked by score from highest to lowest and the highest scoring team is declared the winner.

After Major League Baseball solved its labor problems in 1994, Pat Gillick and eventually Paul Beeston left the organization and annual attendance began to drop considerably.

After problems were solved, the rover picked up and continued exploring the Columbia Hills.

After the Mark IX of the First World War, the Kangaroo was one of the first attempts to solve this problem and, though they were expedient conversions, they largely solved the problem.

After criticizing the approaches of his predecessors, Ptolemy argued for basing musical intervals on mathematical ratios ( in contrast to the followers of Aristoxenus and in agreement with the followers of Pythagoras ) backed up by empirical observation ( in contrast to the overly theoretical approach of the Pythagoreans ).

After a sight is taken, it is reduced to a position by following any of several mathematical procedures.

After a three-year sojourn in Europe, Gibbs spent the rest of his career at Yale, where he was professor of mathematical physics.

After criticizing the approaches of his predecessors, Ptolemy argued for basing musical intervals on mathematical ratios ( in contrast to the followers of Aristoxenus ) backed up by empirical observation ( in contrast to the over-theoretical approach of the Pythagoreans ).

After providing a mathematical formulation of locality and realism based on this, he showed specific cases where this would be inconsistent with the predictions of QM.

After enrolling in a Computer Science Ph. D. program at Stanford University, Page was in search of a dissertation theme and considered exploring the mathematical properties of the World Wide Web, understanding its link structure as a huge graph.

After a year of traditional education, which began when she was 10 years old, her parents realized her obvious mathematical talent and decided that Irène ’ s academic abilities needed a more challenging environment.

After schooling at Cranleigh, Hardy was awarded a scholarship to Winchester College for his mathematical work.

After two years of mathematical studies at Heidelberg under such teachers as Hermann von Helmholtz, Gustav Kirchhoff and Robert Bunsen, she moved to Berlin, where she had to take private lessons from Karl Weierstrass, as the university would not even allow her to audit classes.

After studying at Leeds Grammar School he joined his father's law firm, but left to become a mathematical instrument maker ( working with Henry Hindley ), developing, among other instruments, a pyrometer to study material expansion and a whirling speculum or horizontal top ( a maritime navigation aid ).

" After completing his dissertation ( 1907-see Van Dalen ), Brouwer made a conscious decision to temporarily keep his contentious ideas under wraps and to concentrate on demonstrating his mathematical prowess " ( Davis ( 2000 ), p. 95 ); by 1910 he had published a number of important papers, in particular the Fixed Point Theorem.

After a single session in Glasgow, at the age of nineteen Dugald was summoned by his father, whose health was beginning to fail, to conduct his mathematical classes in the University of Edinburgh.

After about 1928 Weyl had apparently decided that mathematical intuitionism was not compatible with his enthusiasm for the phenomenological philosophy of Husserl, as he had apparently earlier thought.

After three years in the cavalry, during which time he became acquainted with fashionable social and mathematical circles, he moved to Paris and began building his reputation as a mathematician and literary wit.

After Hadamard moved to the University of Bordeaux in 1894, Hadamard continuously wrote to Fréchet, setting him mathematical problems and harshly criticising his errors.

After him, several authors applied BV functions to study Fourier series in several variables, geometric measure theory, calculus of variations, and mathematical physics.

After a thesis in mathematical logic, his early work was in field theory and valuation theory.

After the war he remained in exile in the United Kingdom and worked, until his retirement, as a lecturer in mathematical statistics at the University of Surrey.

After World War I, Volterra turned his attention to the application of his mathematical ideas to biology, principally reiterating and developing the work of Pierre François Verhulst.

After the Treaty of Trianon, which ceded Transylvania to Romania, the university had to move to Szeged, the closest city within the new boundaries, where he with Riesz established the Centre of Mathematics, and the first internationally recognised Hungarian mathematical journal, the Acta Scientiarum Mathematicarum.

After studying medicine for a time, Franz Aepinus devoted himself to the physical and mathematical sciences, in which he soon gained such distinction that he was admitted a member of the Prussian Academy of Sciences.

After matriculating he spent three years in the mathematical sixth form, most of the time on mathematics, with a little physics and world affairs.

After completing his studies in the humanities, physical and mathematical sciences, philosophy, and theology, he was ordained as a priest in 1775.

After every ODI match, the two teams involved receive points based on a mathematical formula.