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Alternatively, the following definition, in terms of the Hurwitz zeta function, is valid in the whole complex s-plane:
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Alternatively and following
Alternatively, the Trojans and Pallas Athena were the judges in that, following Nestor's advice, spies were sent to the walls to overhear what was said.
Alternatively, one could use some of the following criteria:
Alternatively you can try the following techniques:
Alternatively, imaginary roots are obfuscated in the following:
Alternatively, it has been explained by journalist Charles Mowbray White that Garvey proposed the colours for the following reasons: " Garvey said red because of sympathy for the ' Reds of the world ', and the Green their sympathy for the Irish in their fight for freedom, and the Black-the Negro.
Alternatively, it was explained by journalist Charles Mowbray White that Marcus Garvey proposed the colours for the following reasons: " Garvey said red because of sympathy for the ' Reds of the world ', and the Green their sympathy for the Irish in their fight for freedom, and the Black -
Alternatively the following car may accelerate more rapidly than the leading ( for example, leaving an intersection ) resulting in an equivalent collision.
Alternatively, if the track takes the flight directly overhead a beacon, the pilot can use the ADF instrument to maintain heading relative to the beacon, though " following the needle " is bad practice, especially in the presence of a strong cross wind-the pilot's actual track will spiral in towards the beacon, not what was intended.
Alternatively, we could make the level structure quasi-random in the following way:
Alternatively, or following this identification, it is supposedly necessary to mistreat the child by placing it in a hot oven, by holding it in a shovel over a hot fire, or by bathing it in a solution of foxglove.
Alternatively, lenition may be represented by a following letter h, thus: bh ch dh fh gh mh ph sh th.
Alternatively, some of the main characteristics of the disorder, which consist of recurring intrusion feelings, an inability to resist the urge to steal, and a release of pressure following the theft, suggest that kleptomania could be an obsessive-compulsive spectrum disorder, although this is disputed.
Alternatively, a crew finishing last in a division must race in the next-lower division the following day ( starting first ).
Alternatively, digital Y ′ CbCr is derived from digital R ' dG ' dB'd ( 8 bits per sample ) according to the following equations:
Alternatively, they can tame wild animals and monsters into following and fighting for them.
Alternatively, Bob may be required to write something like the following:
Alternatively, this move can be performed in the same fashion, but following an arm wrench or wrist lock instead of an Irish whip, or by simply grabbing hold of one of the opponent's arms with one the wrestler's hands, pulling it towards the wrestler and clotheslining him with his spare arm.
Alternatively, pancreatitis can be diagnosed by meeting any of the following:
Alternatively, if there is no " pase ", light jokes or comments can be made in a show involving people of the following show, so that some viewers or listeners might be interested in hearing what the reply will be.
Alternatively stated, an Euler brick is a solution to the following system of Diophantine equations:
Alternatively, the pieces may spar, following rules similar to those used by the Society for Creative Anachronism.
Alternatively, one can imagine directly generating the entire infinite Fibonacci word by the following process: start with a cursor pointing to the single digit 0.
Alternatively, you can add one of the following templates ; these will automatically add you to the relevant section of this list.
Alternatively, you can add any of the following templates, which will automatically add you to the relevant section of this list.
Alternatively and definition
Alternatively, these experiments provide an operational definition of what is meant by " absolute rotation ", and do not pretend to address the question of " rotation relative to what?
Alternatively, Websters Online Dictionary presents a specialty definition for a goodwill ambassador as one that promotes goodwill and solicits trade for local business firms who are members of parent organization: Develops list of prospective clients from such sources as newspaper items, utility companies ' records, and local merchants.
Alternatively, the definition provided in the DAMA Data Management Body of Knowledge ( DAMA-DMBOK ) is:
Alternatively, one can think of a simplicial set as a simplicial object ( see below ) in the category Set, but this is only different language for the definition just given.
Alternatively, X is right-totally bounded if and only if it satisfies the definition for topological abelian groups above, using right translates.
Alternatively, this may be taken as a definition of precompactness, while still using a separate definition of total boundedness.
Alternatively, a definition based on spectral type can be used, such as F8 V through K2 V, which would correspond to B-V color of 0. 50 to 1. 00.
Alternatively, some theorists choose to accept a narrow or wide definition for theoretical reasons.
Alternatively, one can define as a formula having exactly the above set of models ; furthermore, one can also avoid giving a definition of and only define minimal inference as if and only if every minimal model of is also a model of.
Alternatively and terms
Alternatively, there may further be requirements for maximum terms that a government can keep power before holding an election.
Alternatively, for an orientable surface the formula can be given in terms of the genus of a surface, g:
Alternatively, the path integral formulation of quantum field theory represents the transition amplitude as a weighted sum of all possible histories of the system from the initial to the final state, in terms of either particles or fields.
Alternatively, it may be expressed in terms of pervaded volume, which is the volume of solution spanned by the polymer chain and scales with the cube of the radius of gyration.
Alternatively, the magnetic field can be defined in terms of the torque it produces on a magnetic dipole ( see magnetic torque on permanent magnets below ).
Alternatively, the law may be written in terms of the specific volume v, the reciprocal of density, as
Alternatively, it can be defined in terms of the Euler characteristic χ, via the relationship χ = 2 − 2g for closed surfaces, where g is the genus.
Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − k, where k is the non-orientable genus.
Alternatively, one may restate this more succinctly in terms of the areal density of mass, Σ:
Alternatively in terms of free current, the line integral of the magnetic H-field ( in ampere per metre, Am < sup >− 1 </ sup >) around closed curve C equals the free current I < sub > f, enc </ sub > through a surface S:
Alternatively, a syllepsis may contain a governing word or phrase that does not agree grammatically with one or more of its distributed terms.
Alternatively, unexpected improvements in a country terms of trade can lead to a boost in consumption and investment generating the rapid expansion we observe during the boom phase.
Alternatively, one can use the identity, where both terms in the parentheses vanish.
Alternatively they can be defined as a vector space with a family of seminorms, and a topology can be defined in terms of that family.
Alternatively, the base value for power may be given in terms of reactive or apparent power, in which case we have, respectively,
Alternatively, this can be seen in terms of, the Compton wavelength, and the fine structure constant:
Alternatively, the terms constructed, conceptualized, and ideational have been used to describe: the constructed ways in which people engage with their environments, meanings and interactions people place onto specific landscapes, and imagined and emotional perspectives individuals place with their landscapes.
Alternatively, material in scare quotes may represent the writer's concise ( but possibly misleading ) paraphrasing, characterization, or intentional misrepresentation of statements, concepts, or terms used by a third party.
Alternatively in terms of magnetic permeability ( analogous to electric conductance ):
Alternatively, one can describe the system in terms of its scalar and vector potentials V and A.
Alternatively, in terms of the bipartite Kneser graph, the symmetric group on five points acts separately on the two-element and three-element subsets of the five points, and complementation of subsets forms a group of order two that transforms one type of subset into the other.
Alternatively, the test may be stated in terms of absolute convergence, in which case it also applies to series with complex terms:
Alternatively, these terms mark a class above the superbikes for the largest displacement sport bikes with the highest top speeds, with weights somewhat greater than the superbike class.
Alternatively, they can be called by the period in which they lived, either the " Maritime Archaic " ( emphasizing a coastal and seafaring culture ) or " Late Archaic " ( emphasizing time and leaving open the possibility of living inland seasonally ), although these terms often cover the longer period from 7000 BCE to 1000 CE.
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