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Page "Homomorphism" ¶ 36
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However and definitions
However, the first definitions of AIDS mentioned no cause and the first AIDS diagnoses were made before HIV was discovered.
However, focusing on this approach to defining euthanasia may also lead to counterexamples: such definitions may encompass killing a person suffering from an incurable disease for personal gain ( such as to claim an inheritance ), and commentators such as Tom Beauchamp & Arnold Davidson have argued that doing such would constitute " murder simpliciter " rather than euthanasia.
However, it is similar to several definitions for open educational resources, which include resources under noncommercial and verbatim licenses.
However, definitions of ' orgasm ' vary and there is sentiment that consensus on how to consistently classify it is absent.
However, it could further be argued that the ability to conflict with truth is not an appropriate representation of accepted definitions of power, which negates the assertion that a deity does not have infinite powers.
However, Pascal also has many data structuring facilities and other abstractions which were not included in the original ALGOL 60, like type definitions, records, pointers, enumerations, and sets.
However Israel, Russia and Hungary would meet many definitions of the term republic.
However, the word " myth " itself has multiple ( and some contradictory ) definitions:
However, there are three factors that, although subject to differing interpretations, are common to all such definitions: a trade secret is information that:
However, authors disagree on the exact definitions.
However, an XHTML document is an XML document, which, while not having an explicit " document character " layer of abstraction, nevertheless relies upon a similar definition of permissible characters that cover most, but not all, of the Unicode / UCS character definitions.
However, small clusters do not exhibit sharp first order phase transitions such as melting, and at the boundary it is not possible to completely categorize the cluster as a liquid or solid, since these concepts are ( without extra definitions ) only applicable to macroscopic systems.
However, instead of comparing engine performance, the gross aircraft performance as complete systems can be compared using first principle definitions of power, force and work with the requisite considerations of constantly changing effects like drag and the mass ( of the fuel ) in both systems.
However, some of those extended definitions are incompatible, and may not be suitable for certain applications.
However, according to researchers at the National Library of the Netherlands: " The original inhabitants of the area were unfamiliar with the European notions and definitions of ownership rights.
However, sui generis statutes exist in many countries that extend intellectual property protection to matter that does not meet characteristic definitions: mask works, ship hull designs, fashion designs in France, databases, or plant varieties require sui generis statues because of their unique characteristics.
However, definitions are usually still phrased in terms of regularity, since this condition is more well known than any weaker one.
However, the two definitions cease to be equivalent when we consider subsets of more general metric spaces and in this generality only the latter property is used to define compactness.
However, the definitions of ‘ matrimonial cause ’ and ‘ de facto financial cause ’ differ in some respects, due to the different sources of Commonwealth power to legislate for these matters.
However, obscure words are found in an unabridged dictionary instead of the definitions and meanings provided on cards.
However, this rejection of operationalism as a general project destined ultimately to define all experiential phenomena uniquely did not mean that operational definitions ceased to have any practical use or that they could not be applied in particular cases.
However, providing that the conditions of the first welfare theorem are met, these two definitions agree, and give identical results.
However, the boundaries and exact definitions are unclear due to the expansion of suburban development in the town during the latter half of the 20th century.
However, these definitions can be misleading because, even with no changes in spending or tax laws at all, cyclic fluctuations of the economy cause cyclic fluctuations of tax revenues and of some types of government spending, altering the deficit situation ; these are not considered to be policy changes.

However and category
However it is important to note that the objects of a category need not be sets nor the arrows functions ; any way of formalising a mathematical concept such that it meets the basic conditions on the behaviour of objects and arrows is a valid category, and all the results of category theory will apply to it.
However, there are certain classes of diuretic which usually fall into this category, such as the thiazides.
However, in 2002, Amnon Neeman and Pierre Deligne constructed an example of such a system in a category satisfying ( AB4 ) ( in addition to ( AB4 *)) with lim < sup > 1 </ sup > A < sub > i </ sub > ≠ 0.
However, task-orientated behaviors composed the in-role category and the extra-role category included interpersonally-oriented behaviors, down-time behaviors and destructive and hazardous behaviors.
However, in contrast to the countries in the Anglo-Saxon system category, this is a much more widespread network of collective agreements, which covers most industries and most firms.
However, unlike foodservice establishments with names ending with the Chinese character lou, which always cooked their specialty dishes on locations like higher ranking foodservice establishments, foodservice establishment of this category would either cook on location, or simply bring the already cooked food to the location.
However, some newer methods such as plasma polymerization do not fit neatly into either category.
However, English speakers intuitively treat both sounds as variations ( allophones ) of the same phonological category, that is, of the phoneme.
However Karl Barth considered that category of parousia includes Resurrection Sunday and the Acts 2 Pentecost as well, and therefore that the New Testament parousia is not limited to his final return.
However, there were a slew of other less commonly used Prakrits that also fall into this category.
However, despite also being called the direct sum of rings when I is finite, the product of rings is not a coproduct in the sense of category theory.
However, authorities disagree as to whether this particular story is the archetype after which the category is named.
However, the authorities are not in agreement about exactly which category ( or categories ) this would fall under.
However, the category can include other types of information than pointing, such as direction of gaze, tone of voice, and so on.
However, it has immediate practical consequences – when defining a group object in category theory, where the object in question may not be a set, one must use equational laws ( which make sense in general categories ), and cannot use quantified laws ( which do not, as objects in general categories do not have elements ).
However during the late twentieth century the term Indigenous peoples evolved into a legal category that refers to culturally distinct groups that had been affected by the processes of colonization.
However, no statute or regulation of the CPSC specifically addresses this category of products in the US.
However to stay in the second category, Feyenoord needed to obtain the same amount of points earned rounding up to or higher than 65 points.
However, a large proportion of catches is not reported at species level ; in the FAO fishery statistics, the category " Croakers, drums, not elsewhere included ", is the largest one within Sciaenidae, with annual landings of 431, 000 – 780, 000 tonnes in 2000 – 2009, most of which were reported from the Western Indian Ocean ( FAO fishing area 51 ) and Northwest Pacific ( FAO fishing area 61 ).
However, horse breeds most often seen at the Olympics and other international FEI competitions are in the warmblood category.
However, V8 Supercars does provide the closest racing of any touring car category, with the top twenty cars usually qualifying within one second of one another.

0.485 seconds.