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Page "Collaboration" ¶ 51
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Generally and defined
Generally, any number concept leading to multiplication cannot be defined in Presburger arithmetic, since that leads to incompleteness and undecidability.
Generally, unless both the objective function and the feasible region are convex in a minimization problem, there may be several local minima, where a local minimum x < sup >*</ sup > is defined as a point for which there exists some δ > 0 so that for all x such that
Generally the calculation of Lyapunov exponents, as defined above, cannot be carried out analytically, and in most cases one must resort to numerical techniques.
For example, organizations in the U. S. define inventory to suit their needs within US Generally Accepted Accounting Practices ( GAAP ), the rules defined by the Financial Accounting Standards Board ( FASB ) ( and others ) and enforced by the U. S. Securities and Exchange Commission ( SEC ) and other federal and state agencies.
Generally, modern medical professionals have given up the use of " hysteria " as a diagnostic category, replacing it with more precisely defined categories such as somatization disorder.
Generally, the more specialized and developed the culture, the more lamer is used as it was defined originally.
Generally, a chemical species can be defined as an ensemble of chemically identical molecular entities that can explore the same set of molecular energy levels on a characteristic or delineated time scale.
Generally, temperature as it is felt is defined by the kinetic energy of atoms.
Generally fiscal domicile under such treaties is defined by reference to domicile as opposed to tax residence.
Generally, consumption is defined in part by comparison to production.
Generally speaking, self-medication is defined as " the use of drugs to treat self-diagnosed disorders or symptoms, or the intermittent or continued use of a prescribed drug for chronic or recurrent disease or symptoms "
Generally, the TMDL determines load based on a Waste Load Allocation ( WLA ), Load Allocation ( LA ), and Margin of Safety ( MOS ) Once the TMDL assessment is completed and the maximum pollutant loading capacity defined, an implementation plan is developed that outlines the measures needed to reduce pollutant loading to the non-compliant water body, and bring it into compliance.
Generally, this tax is imposed at a specific rate or range of rates on taxable income as defined within the system.
Generally, torts are not defined within specific statute or legislation and have evolved through judge-made law, or common law.
Generally materials will be defined, allowing different portions of the mesh to use different shaders when rendered.
Generally the wines are defined by the young fruit that makes them very drinkable while young.
Generally, emergency law provides the government with the authority to control every level of political activity, including that within the confines of the formally defined political arena.
Generally, theorists have moved to regarding parameters as varying feature specifications on lexical items within languages and derivations rather than parameters which are globally defined.
Generally, high-speed rail is defined as having a top speed in regular use of over.
Generally speaking, the discount rate or capitalization rate may be defined as the yield necessary to attract investors to a particular investment, given the risks associated with that investment.
Generally, in the United States it is defined as intentional taking property of others in an amount exceeding the state statutory amount.
Generally, fixed fee IT consulting is for a specific amount of work, within a defined timeframe.
Generally, the area is defined as bordering North I Street to the south-southwest and Tacoma Avenue to the north-northeast, with another portion extending from Tacoma Avenue to the south, North Borough Road to the west, North Stadium Way to the north and northeast, and North 3rd Street to the east.

Generally and is
Generally, however, there is an abundance of available machinery of coordination -- in NATO, in O.E.C.D., in the U.N. and elsewhere.
Generally, throughout the South, there is a growing impatience with the pattern of violence with which every step of desegregation is met.
Generally, it is necessary to mark distances on a specimen ( or garment ) in both lengthwise and widthwise directions and to measure before and after laundering.
Generally, however, in such marriages as those cited, the husband is at his wife's mercy.
Generally the first salvo of a tsunami is a rather sharp swell, not different enough from an ordinary wave to alarm casual observers.
Generally, there is no trial in an appellate court, only consideration of the record of the evidence presented to the trial court and all the pre-trial and trial court proceedings are reviewed — unless the appeal is by way of re-hearing, new evidence will usually only be considered on appeal in " very " rare instances, for example if that material evidence was unavailable to a party for some very significant reason such as prosecutorial misconduct.
Generally, an answer is a reply to a question or is a solution, a retaliation, or a response that is relevant to the said question.
Generally speaking in private, civil cases there is no plea entered of guilt or innocence.
Generally speaking, negation is an automorphism of any abelian group, but not of a ring or field.
Generally, however, northern Alberta ( and areas along the Alberta Rockies ) is forested land and logging is more important than agriculture there.
Generally the visible spectrum ( vmag ) is used for the apparent magnitude, but other spectrums such as the near-infrared J-band magnitude are also used.
Generally it is a battery, but sub-divided batteries are quite common, and in some armies very common.
The body of rules that governs financial accounting in a given jurisdiction is called Generally Accepted Accounting Principles, or GAAP.
Generally the absent zee-rhyme is not missed, although some children use a zee pronunciation in the rhyme which they would not use elsewhere.
Generally it is impossible to close two or three transactions at the same instant ; therefore, there is the possibility that when one part of the deal is closed, a quick shift in prices makes it impossible to close the other at a profitable price.
Generally, a battle is a conceptual component in the hierarchy of combat in warfare between two or more armed forces, or combatants.
Generally Heinz Guderian is attributed as creating the military doctrine later described as blitzkrieg.
Generally, information currently available as of January 1 of the current year is used in preparing the Factbook.

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