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More and precisely
More precisely, an algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function.
More precisely, Ural – Altaic came to subgroup Finno-Ugric and Samoyedic as " Uralic " and Turkic, Mongolic, and Tungusic as " Altaic ", with Korean sometimes added to Altaic, and less often Japanese.
More precisely, if S
More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:
More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.
More precisely, objects can be reachable in only two ways:
More precisely, it tries to classify problems that can or cannot be solved with appropriately restricted resources.
More precisely:
More generally, to insist that all evidence converge precisely with no deviations would be naïve falsificationism, equivalent to considering a single contrary result to falsify a theory when another explanation, such as equipment malfunction or misinterpretation of results, is much more likely.
More precisely, the positions of the pixels and subpixels on the screen must be exactly known to the computer to which it is connected.
( More precisely, this is true of the sines of the angles.
More importantly, however, he went on to maintain the same high level of performance throughout the season, kicking precisely 100 goals for the year to become the first player to top the ton since Richmond's Jack Titus in 1940.
" More precisely, it is " the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.
More precisely, a full moon occurs when the geocentric apparent ( ecliptic ) longitudes of the Sun and Moon differ by 180 degrees ; the Moon is then in opposition with the Sun .< ref >
More precisely, all known FFT algorithms require Θ ( N log N ) operations ( technically, O only denotes an upper bound ), although there is no known proof that better complexity is impossible.
More precisely, because of the relation between spin and statistics, a particle containing an odd number of fermions is itself a fermion: it will have half-integer spin.
More precisely, and technically, a Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory.
More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.
More precisely, a groupoid G is:
( More precisely, the nodes are spherical harmonics that appear as a result of solving Schrödinger's equation in polar coordinates.
More precisely, the square of x is not invertible because it is impossible to deduce from its output the sign of its input.
More precisely, the law states that alleles of different genes assort independently of one another during gamete formation.
More precisely, it returns a new list whose elements are in reverse order compared to the given list.
More precisely, these proofs have to be verifiable in polynomial time by a deterministic Turing machine.
More precisely, it is the instant when the Moon and the Sun have the same ecliptical longitude.

More and Clifford
More precisely, William Rowan Hamilton put forth the quaternions and biquaternions ; James Cockle presented tessarines and coquaternions ; and William Kingdon Clifford was an enthusiast of split-biquaternions, which he called algebraic motors.

More and algebras
More generally, one can consider finite direct sums of matrix algebras.
More generally, square roots can be considered in any context in which a notion of " squaring " of some mathematical objects is defined ( including algebras of matrices, endomorphism rings, etc.
More specific complete lattices are complete Boolean algebras and complete Heyting algebras ( locales ).
More precisely, deformation can be accomplished within the category of Hopf algebras that are not required to be either commutative or cocommutative.
More categorically, this is not just an isomorphism of endomorphism algebras, but an isomorphism of categories – see categorical considerations.
More generally, the Brauer group of a scheme is defined in terms of Azumaya algebras.
More generally, this result holds for algebras over any algebraically closed field and for simple modules that are at most countably-dimensional.

More and may
More detailed instructions may be obtained from your local building supply houses and craftsmen.
More rarely, a script may have separate letters for tones, as is the case for Hmong and Zhuang.
More complex alkenes may be named using the E-Z notation, used to describe molecules having three or four different substituents ( side groups ).
More specialized bicycle components may require more complex tools, including proprietary tools specific for a given manufacturer.
More complexly, an economy may be unable to export enough goods to pay for its imports, but is able to find funds elsewhere.
More recent research into the Pygmy subspecies suggests this may be an underestimate.
More direct government involvement can lead to specific areas of crony capitalism, even if the economy as a whole may be healthy.
More complex computations may involve many operations and data elements together.
( More rarely, crystals may be deposited directly from gas ; see thin-film deposition and epitaxy.
* More than one assignment may be performed in a single statement.
More conceptually, this rule expresses the fact that a change in the x < sub > i </ sub > direction may change all of g < sub > 1 </ sub > through g < sub > k </ sub >, and any of these changes may affect f.
More generally, unspecific coercion may be the form taken by disciplinary coercion, and this appears to be in fact the case within the most effective command systems of the modern world.
More generally among Baptists, a variety of parachurch agencies and evangelical educational institutions may be supported generously or not at all, depending entirely upon the local congregation's customs and predilections.
More broadly speaking, Chinese classic texts may refer to texts, be they written in vernacular Chinese or in classical Chinese, that existed before 1912, when the last imperial Chinese dynasty, the Qing Dynasty, fell.
" In addition to the various works of Brewster already mentioned, the following may be added: Notes and Introduction to Carlyle's translation of Legendre's Elements of Geometry ( 1824 ); Treatise on Optics ( 1831 ); Letters on Natural Magic, addressed to Sir Walter Scott ( 1832 ); The Martyrs of Science, or the Lives of Galileo, Tycho Brahe, and Kepler ( 1841 ); More Worlds than One ( 1854 ).
More generally, values may be of any of the kinds described as a level of measurement.
More rarely, other beaters such as cartwheel mallets ( known to kit drummers as " soft sticks ") may be used.
More generally, a function may map equivalent arguments ( under an equivalence relation ~< sub > A </ sub >) to equivalent values ( under an equivalence relation ~< sub > B </ sub >).
More generally, a function may map equivalent arguments ( under an equivalence relation on ) to equivalent values ( under an equivalence relation on ).
More broadly, eschatology may encompass related concepts such as the Messiah or Messianic Age, the end time, and the end of days.
More recent experiments have suggested that these morphological descriptions of endocytic events may be inadequate, and a more appropriate method of classification may be based upon the clathrin-dependence of particular pathways, with multiple subtypes of clathrin-dependent and clathrin-independent endocytosis.
More generally, one may use the fact that the operators do not commute,
More generally, the observed IQ improvement may be the result of the slow reduction in environmental neurotoxins, including lead, cadmium, mercury, unfiltered coal smoke, tobacco, and ethanol.

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