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By definition, maps objects and morphisms identically to.
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By and definition
By accepted definition, a 1-ton conditioner will provide 12,000 BTU of cooling in one hour.
By the Brønsted-Lowry definition, any compound which can easily be deprotonated can be considered an acid.
By definition it does not cover problems whose solution are unknown or have not been characterised formally.
By definition a multilinear map is alternating if it vanishes whenever two of its arguments are equal.
By this definition, if previous versions ( N-1, N-2, etc.
* By the definition of addition and scalar multiplication of linear functionals in the dual space,
By definition, where a director enters into a transaction with a company, there is a conflict between the director's interest ( to do well for himself out of the transaction ) and his duty to the company ( to ensure that the company gets as much as it can out of the transaction ).
By legal definition, all semi-highways are expressways.
By definition a set S is countable if there exists an injective function
By 1963 – 4 Gödel would disavow Herbrand – Gödel recursion and the λ-calculus in favor of the Turing machine as the definition of " algorithm " or " mechanical procedure " or " formal system ".
By contrast, a dictionary definition has additional details, typically including an etymology showing snapshots of the earlier meanings and the parent language.
By his own admission, Hubbard made what he considered was one of the greatest mistakes of his life when he used the biological definition of engram as a " trace on a cell ", which was not in line with the proper biological definition.
By definition, this classifies it as both a river and a strait — a strait being a narrow passageway connecting two large bodies of water.
Let f and g be any two elements of G. By virtue of the definition of G, = and =, so that =.
By definition, it is the amount of energy gained by the charge of a single electron moved across an electric potential difference of one volt.
At standard temperature, pressure and concentration conditions, the cell's emf ( measured by a multimeter ) is 0. 34 V. By definition, the electrode potential for the SHE is zero.
By definition, equality follow a number of " equivalence relations ", including ( a ) reflexive ( i. e. ), ( b ) symmetric ( i. e. if then ) ( c ) transitive ( i. e. if and then ).
By definition, a and b can be written as multiples of c: a = mc and b = nc, where m and n are natural numbers.
By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.
By an abuse of the definition, a particular formal language is often thought of as being equipped with a formal grammar that describes it.
By definition, granite is an igneous rock with at least 20 % quartz by volume.
By definition, these clouds must have a v < sub > lsr </ sub > greater than 90 km s < sup >− 1 </ sup >, where v < sub > lsr </ sub > is the local standard rest velocity.
By definition, there was only one " catholic " or " universal " Church.
By and maps
By this time the small lake ( Lady Pool on old maps ) at the end of Ladypool Road had been filled-in to create a park.
By using Taylor series approximations of the maps and an understanding of the differences that may be eliminated by a change of coordinates, it is possible to catalog the bifurcations of dynamical systems.
By darkening areas of texture maps corresponding to corners, joints and recesses, and applying them via self-illumination or diffuse mapping, a radiosity-like effect of patch interaction could be created with a standard scanline renderer ( cf.
By 1884, over two-thirds of all ships and tonnage used it as the reference meridian on their maps.
" By at least 1564, the name appeared on maps.
By the 1970s he was confident and ambitious and made Vertical Features Remake and A Walk Through H. The former is an examination of various arithmetical editing structures, and the latter is a journey through the maps of a fictitious country.
By the 1980s, centralized printing of standardized topographic maps began to be eroded by databases of coordinates that could be used on computers by moderately skilled end users to view or print maps with arbitrary contents, coverage and scale.
By comparing his observations with optical astronomical maps, Jansky eventually concluded that the radiation source peaked when his antenna was aimed at the densest part of the Milky Way in the constellation of Sagittarius.
By August 11, 1804 the plat maps were completed, payments or notes promising payments collected and deeds prepared for all sixteen thousand acres ( 65 km² ) of the Scioto Company's purchase ( McCormick 1998: 71 ).
By showing in St. James's, Wilde was targeting a fashionable, upper-middle class audience and Wilde maps out the geography of their world, Grosvenor Square, Curzon Street, the park, with precision.
By comparing his observations with optical astronomical maps, Jansky concluded that the radiation was coming from the Milky Way and was strongest in the direction of the center the galaxy, in the constellation of Sagittarius.
By the end of the 17th century most land along the “ Harlaem River ” had come under the ownership of the Dutch families whose names are now commonly seen on street signs, area maps, and parks, including Jonas Dyckman, Jacob Nagle, etc.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Amundsen.
By early 1980s, the government of Pakistan was granting special expedition permits to mountaineers and United States Army maps deliberately showed Siachen as a part of Pakistan.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Copernicus.
* By the Gelfand-Neumark theorem, the category of localizable measurable spaces ( with measurable maps ) is equivalent to the category of commutative Von Neumann algebras ( with normal unital homomorphisms of *- algebras ).
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Alder.
By analogy, an étale presheaf is called a sheaf if it satisfies the same condition ( with intersections of open sets replaced by pullbacks of étale morphisms, and where a set of étale maps to U is said to cover U if the topological space underlying U is the union of their images ).
By using the new maps to guide the future development and expansion of its overseas conservation work, Durrell can be confident it is using its limited resources to the maximum benefit of the world ’ s precious biodiversity.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Fermat.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Bingham.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Anaximander.
By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Anaximenes.
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