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 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, maps objects and morphisms identically to.

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 taking Φ equal to the ( pointwise ) differential of a smooth map φ from M to N, the pullback of multilinear forms can be combined with the pullback of sections to yield a pullback ( 0, s ) tensor field on M. More precisely if S is a ( 0, s )- tensor field on N, then the pullback of S by φ is the ( 0, s )- tensor field φ < sup >*</ sup > S on M defined by

The 1523 " Turin map " of the islands was the first to refer to them as Los Lagartos, meaning alligators or large lizards, By 1530 they were known as the Caymanes after the Carib word caimán for the marine crocodile, either the American or the Cuban crocodile, Crocodylus acutus or C. rhombifer, which also lived there.

Additional milieu were provided by Chaosium with the release of Dreamlands, a boxed supplement containing additional rules needed for playing within the Lovecraft Dreamlands, a large map and a scenario booklet, and Cthulhu By Gaslight, another boxed set which moved the action from the 1920s to the 1890s.

The intersection of the periodic orbit with the Poincaré section is a fixed point of the Poincaré map F. By a translation, the point can be assumed to be at x = 0.

By projective duality, an ellipse can be defined also as the envelope of all lines that connect corresponding points of two lines which are related by a projective map.

By contrast, the nematode worm Caenorhabditis elegans has just 302 neurons making it an ideal experimental subject as scientists have been able to map all of the organism's neurons.

By common convention, the boundaries of the " Known World " are those covered in the world map as originally published in the module X1, The Isle of Dread, plus Norwold, the Isle of Dawn, and ( pre Wrath of the Immortals ) Alphatia.

By convention, the top side of a map is north.

By convention, the right hand side of a map is east.

By scanning the microscope's beam in an X-Y pattern and measuring the light emitted with the beam at each point, a map of the optical activity of the specimen can be obtained.

By 613 he had inherited or conquered all of the coloured portions of the map.

By the late 1700s, Leinster looked as shown in the above map of 1784.

By convention, the bottom side of a map is south.

By fighting other pirates, Guybrush learns various insults and defeats Rottingham, reclaiming the map.

By the early 1950s, Martin Ryle and Antony Hewish at Cambridge University had used the Cambridge Interferometer to map the radio sky, producing the famous 2C and 3C surveys of radio sources.

By the 19th century, Leicester Square was known as an entertainment venue, with many amusements peculiar to the era, including Wyld's Great Globe, which was built for the Great Exhibition of 1851 and housed a giant scale map of the Earth.

By 1862 Stanford's map of London shows large homes had been constructed along Penge New Road ( now Crystal Palace Park Road, Sydenham and Penge High Street ), Thick Wood ( now Thicket ) Road and Anerley Road.

By 1877 the town was large enough to make its first city map.

By tuning in a radio station and then using a directional antenna to find the direction to the broadcasting antenna, then using triangulation, two such measurements can be plotted on a map where their intersection is the position.

By studying the refracted and reflected seismic waves, the scientists attempted to map the interior of the volcano, much as a CT scan images the inside of an object using X-rays, to understand its deep " plumbing " and how the magma rises to the lava lake.

By careful analysis of the breaking force at various pulling speeds, it is possible to map the energy landscape of the chemical bond under mechanical force.

By the 2nd century, the geographer Ptolemy gave coordinates for a surprisingly detailed map of Ireland, naming tribes, towns, rivers and headlands.

By 1745, the first map, in the 1 / 8628th, of Châlus is established to appear in the atlas of Trudaine for the majority of Limoges, with the portion of road at the level of La-Ribière going to Châlus of the Big road from Limoges to Périgueux and with the portion of road reaching the majority of Périgord.

By 1795, several streets had been created according to Pye's map.

By considering a coordinate transformation on a manifold as a map from the manifold to itself, the transformation of covariant indices of a tensor are given by a pullback, and the transformation properties of the contravariant indices is given by a pushforward.