Using-Minkowski's-spacetime-formalism-Laue-went

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Using and spacetime

Using the ADM formalism of general relativity, the spacetime is described by a foliation of space-like hypersurfaces of constant coordinate time t. The general form of the metric described within the context of this formalism is:

Using a structure called a simplex, it divides spacetime into tiny triangular sections.

Using tensor calculus, proper time is more rigorously defined in general relativity as follows: Given a spacetime which is a pseudo-Riemannian manifold mapped with a coordinate system and equipped with a corresponding metric tensor, the proper time experienced in moving between two events along a timelike path P is given by the line integral

Using a structure called a simplex, it divides spacetime into tiny triangular sections.

Using and formalism

Using again just the syntactic transformations available in this formalism, one can obtain so called fixed point combinators ( the best-known of which is the Y combinator ); these, by definition, have the property that f ( Y ( f )) = Y ( f ) for all functions f.

Using a BRST antifield formalism with a duality gauge fixing, a consistent quantization in spaces of double dual curvature is obtained.

Using the standard formalism of probability, let and be two random variables defined on probability spaces and.

Using the path-integral formalism.

Using the superconnection formalism of Quillen, they obtained a refinement of the Riemann – Roch formula, which links together the Thom classes in K-theory and cohomology, as an equality on the level of differential forms.

Using and went

Using this mobile innovation, he was able to practice the tea ceremony wherever he went, powerfully projecting his unrivaled power and status upon his arrival.

This rivalry went far enough that the OS-9 version 2. 4 manual had this entry describing UNIX in the Glossary of Appendix C of " Using Professional OS-9 ":

Using the opportunity offered by the Green Fellowship in Mental Science awarded to him at Princeton he went to study in Germany with Wilhelm Wundt at Leipzig and with Friedrich Paulsen at Berlin.

" Using the name of his birthplace, Gyula Halász went by the pseudonym " Brassaï ," which means " from Brasso.

Using the Volkswagen Rabbit as the archetype, much of Detroit went to front wheel drive after 1980 in response to CAFE's 27. 5 mpg mandate.

Using the resources of the Royal Library in Copenhagen and of the libraries of Exeter, Oxford and Cambridge in three successive summer visits to England ( 1829 – 31 ), he went on to make transcriptions of two of the four great codices of Anglo-Saxon poetry: the Exeter Book and the codex designated Junius 11 in the Bodleian Library, Oxford.

Using Ephesus as its base, the land army went to Sardis, where they captured the city without any opposition and forced the satrap Artaphernes and his forces to retreat to the acropolis.

Using the pseudonym British Whale, Hawkins went on to release a cover version of the Sparks song This Town Ain't Big Enough for Both of Us, reaching No. 6 in the UK singles chart.

Using much of its old on-screen appearance design features, it went from a basic blue setting to a more orangish-gold setting.

Using a new 4 – 2 – 3 – 1 formation built around playmaker Adel Taarabt who went on win the Football League Championship Player of the Year 2011, QPR topped the table for the majority of the 2010 – 11 season and on 30 April 2011 were promoted as Championship champions after a 2 – 0 win over Watford.

Using the soulsword given to her by Magik, Karma went inside Legion's psyche and liberated an unknown personality imprisoned deep within him.

Using this inflated figure, the report went on to speculate on how the PLA could change its basic nuclear policy and doctrine.

Using the title " Yankee Robinson and Ringling Brothers ", the Ringling Bros. and Yankee Robinson went through the midwest performing their one ring circus.

Using these self-evident propositions as his axioms, or foundations, he went on to deduce his entire body of knowledge from them.

Using this pretext, Gongsun Zan fought against Yuan Shao after a plan to gain Han Fu's lands went awry.

Using his own body as a portal, Alexander Luthor, Kal-L, and Superboy-Prime went into the " paradise dimension " alongside Lois.

Using subterfuge, Chandragupta went to the Saka camp, killed the Saka king and won the victory and also the esteem of the people and the queen.

Using the same final drive ratio, the Michigan State Police tests found the 1979 St. Regis to be a superior performer to the 400 powered 1978 Monaco, in all areas except gas consumption, though performance definitely dropped as drive ratio and engine sizes went down.

Using this technology, the Remote created a copy of Fitz which went by the name Kode.

Using intelligence provided by Filipino guerrillas, American units were able to find intact bridges and shallow rivers everywhere they went.

Using the alias of John Charles Baker, Hughes agreed to broadcast propaganda and went to Berlin where he was allowed a substantial degree of freedom, renting a flat while he was employed as a broadcaster and scriptwriter at Radio Metropole, for which he was paid 600 RM monthly.

Using estimates of the total amount of iridium in the K – T layer, and assuming that the asteroid contained the normal percentage of iridium found in chondrites, the Alvarez team went on to calculate the size of the asteroid.

Using and on

Using a steering system that controlled the modified rocket's tail surfaces and wings equipped with ailerons, Fiedler was to land the missile on a skid especially bolted under the fuselage.

: Using * to denote a binary operation performed on a set

Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S n → ℝ n that does not equalize on any antipodes then we can construct a map g: S n → S n-1 by the formula

Using these tools, one can write a more complex text editor, and a simple compiler for a higher-level language and so on, until one can have a graphical IDE and an extremely high-level programming language.

Using pharmacogenomics, pharmaceutical companies can create drugs based on the proteins, enzymes and RNA molecules that are associated with specific genes and diseases.

Using the language of category theory, many areas of mathematical study can be cast into appropriate categories, such as the categories of all sets, groups, topologies, and so on.

Using ClearType on these display configurations will actually reduce the display quality.

Using the Cartesian coordinate system, geometric shapes ( such as curves ) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape.

Using to denote the size of the original grammar, the size blow-up in the worst case may range from to, depending on the transformation algorithm used.

Using pioneering film-looping technology, Enoch J. Rector presented the entirety of a famous 1897 prize-fight on cinema screens across the country.

* International Good Practice: Guidance on Project Appraisal Using Discounted Cash Flow, International Federation of Accountants, June 2008, ISBN 978-1-934779-39-2

Using the civil unrest in India as an excuse to move troops to the Durand Line, Afghan troops crossed the border at the western end of the Khyber Pass on 3 May 1919 and occupied the village of Bagh, the scene of an earlier uprising in April.

Using his favorite model in his last painting of her, a fellow painter, Victorine Meurent, also the model for Olympia and the Luncheon on the Grass, sits before an iron fence holding a sleeping puppy and an open book in her lap.

Using digital computers, on the other hand, both FIR and IIR filters are straightforward to implement in software.

Using humanist techniques for working on texts, he prepared important new Latin and Greek editions of the New Testament.

* Using Java, and based very closely on Weizenbaum's published description of the program: http :// www. chayden. net / eliza / Eliza. html

* Using Z80 assembly language on the TI-83 Plus: ticalc. org

Using this method, the customer does not need to authenticate his or her identity by PIN entry or signature, as on a regular machine.

Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

Using FProxy, a user can browse freesites ( web sites that use normal HTML and related tools, but whose content is stored within Freenet rather than on a traditional web server ).

Using whatever equipment the vassal could obtain by virtue of the revenues from the fief, the vassal was responsible to answer calls to military service on behalf of the lord.

Using the submarine, Akatsuki, they hope to gather information on the robot's builders, the alien simians.

Using the notion of covering provided by a Grothendieck topology, it becomes possible to define sheaves on a category and their cohomology.

Using their data on the time occupied by travel to work, Table 2 below shows the absolute number of people who responded with travel times " at least 15 but less than 20 minutes " is higher than the numbers for the categories above and below it.

Using the Emergency-era Internal Security Act ( ISA ), the new government suspended Parliament and political parties, imposed press censorship and placed severe restrictions on political activity.

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