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When and specializing
When demand for these industries are growing nationally or internationally, that creates an opportunity for an urban, regional, or national economy to grow rapidly by specializing on these sectors.
When Rose, Blanche and Sophia invest in a hotel, Sophia is installed as one of the two chefs, specializing in Italian cuisine while the hotel's previous chef, Chuy Castillos ( Cheech Marin ), handles Mexican food.
When not writing, Wolfe is also an artist specializing in pastel portraits of people and animals and makes and sells jewelry and kaleidoscopes.
When Steffin was laid off in the spring of 1979, he and Pederson decided to form a software publishing company specializing in educational software for the Apple II.

When and preadditive
When attempting to write down these generalizations, one should think of the morphisms in the preadditive category as the " elements " of the " generalized ring ".
The latter example leads to a generalization of modules over rings: If C is a preadditive category, then Mod ( C ) := Add ( C, Ab ) is called the module category over C. When C is the one-object preadditive category corresponding to the ring R, this reduces to the ordinary category of ( left ) R-modules.

When and categories
When I question them as to what they mean by concepts like liberty and democracy, I find that they fall into two categories: the simpler ones who have simply accepted the shibboleths of their faith without analysis ; ;
When analyzing a pitcher's statistics, some useful categories to consider include K / 9IP ( strikeouts per nine innings ), K / BB ( strikeouts per walk ), HR / 9, WHIP ( walks plus hits per inning pitched ) and OOPS ( opponent on-base plus slugging ).
When this approach is taken, it is seen that adverbs fall into a number of different categories.
When a player's counter lands on a square, the player answers a question according to the color of the square, which corresponds to one of the six categories.
When M is a finitely generated projective module, the endomorphism ring is central to Morita equivalence of module categories.
When the proposals are all in, the IFBs aggregate all the production and consumption proposals for the different categories of goods and services – inputs into all the production processes as well as consumer goods – to see if proposed supply and demand are equal.
When using Simpson's Diversity Index on 10 aggregated ethnic groups, the 2001 census identified Newham as the most ethnically diverse district in England and Wales, with 9 wards in the top 15 .< ref >< cite > Simpson's diversity indices by ward 1991 and 2001-GLA Data Management and Analysis Group ( page 11, Table 3 ) Greater London Authority, January 2006 ), accessed 13 December 2006 </ ref > However, when using the 16 ethnic categories in the Census so that White Irish and White Other ethnic minorities are also included in the analysis, Newham becomes the 2nd most ethnically diverse borough < ref >< cite > Focus on Newham 2006-local people and local conditions-London Borough of Newham, Corporate Research Unit ( chapter 2, page 24 ) ( 2006 ) date accessed 31 March 2007 </ ref > with 6 out of the top 15 wards, behind Brent with 7 out of the top 15 wards.
When leaving feedback, buyers are asked to rate the seller in each of these categories with a score of one to five stars, with five being the highest rating and one the lowest.
When m is a monomorphism, it must be its own image ; thus, not only are abelian categories normal, so that every monomorphism is a kernel, but we also know which morphism the monomorphism is a kernel of, to wit, its cokernel.
When categories of parties ( stakeholders ) do not have sufficient confidence that a corporation is being controlled and directed in a manner consistent with their desired outcomes, they are less likely to engage with the corporation.
When the problem was being studied, wave drag came to be split into two categories – wave drag caused by the wing as a part of generating lift, and that caused by other portions of the plane.
In his major work, Economy and Society he used this term in arbitrary chronological and geographical frames, e. g., he wrote that " this Christian preoccupation with the formulation of dogmas was in Antiquity particularly influenced by the distinctive character of ' intelligentsia ', which was the product of Greek education " When formulating major social classes of his time, Weber combines intelligentsia with other social categories, e. g., he defines a major class consisting of " the propertyless intelligentsia and specialists ( technicians, various kinds of white-collar employees, civil servants – possible with considerable social differences depending on the cost of their training )" and yet other " classes privileged through property and education ".
When it appeared, there were two such categories in one game ( always appearing on the second row ) and each team was required to play one of them.
When this happens, all three selectable categories will refer to the sequel question.
When considering different programs that are on television, it makes sense that scholars would criticize Gerbner ’ s lack of categories.
When one uses such categories, power relations, differences in political views, questions of gender, and many other key issues might become erased.
When asked about the poll, Barlick stated that it was a disgrace, due to the lack of qualifications of the writers and some of the categories in the poll, which included " most sarcastic ," " hardest to talk to ," " biggest grandstander ," and " worst pop-off.
When assigned categories, four possible permutations result: identity diffusion, identity foreclosure, identity moratorium, and identity achievement.
He argues that " When people ask about " universals ", they usually mean descriptive categories that are assumed to be found in all languages.
When the windows stopped spinning, the contestant chose either of the displayed categories, and had to fulfill the contract by correctly answering the number of questions indicated in the contract window.
When he became an ethnomusicologist later on, he worked on uncovering implicit musical systems and studied the ways in which a culture builds its cognitive categories as observed in its music – using interactive experiments.
GameSpy's Raymond Padilla lauded the game's use of characters and the player categories, stating " When you put it all together, you have a broad cast of characters, each of whom offers a different feel.
When first registering on a website, the user chooses several secret categories of things ; such as dogs, cars, boats and flowers.
When the Hugo Awards were instituted in 1953, one of the categories was "# 1 Fan Personality ", which has also been referred to as the " BNF Award.

When and abelian
When A is a finite abelian group, A < sub > Tp </ sub > coincides with the unique Sylow p-subgroup of A.
When R is an abelian group such a cycle may also be called an R-flow on G. Nowhere-zero R-flows for a finite abelian group R of k elements are related to nowhere-zero integral k-flows in Tutte's theory.
When R isn't commutative one needs the more careful statement, that ( if M is a left R-module ) the tensor product with M maps exact sequences of right R-modules to exact sequences of abelian groups.
The statement of the more general Chebotarev theorem is in terms of the Frobenius element of a prime ( ideal ), which is in fact an associated conjugacy class C of elements of the Galois group G. If we fix C then the theorem says that asymptotically a proportion | C |/| G | of primes have associated Frobenius element as C. When G is abelian the classes of course each have size 1.
When the triangulated category is K ( A ) for some abelian category A, and when X, Y, Z are objects of A placed in degree 0 in their eponymous complexes, and when the maps are injections in A, then the cones are literally the above quotients, and the pretense becomes truth.
When is an abelian von Neumann algebra, this is the original group-measure space construction of Murray and von Neumann.
* A ( v, k, λ ) difference set is a subset D of a group G such that the order of G is v, the size of D is k, and every nonidentity element of G can be expressed as a product d < sub > 1 </ sub > d < sub > 2 </ sub >< sup >- 1 </ sup > of elements of D in exactly λ ways ( when G is written with a multiplicative operation ).< ref > When the group G is an abelian group ( or written additively ) the defining property looks like d < sub > 1 </ sub > – d < sub > 2 </ sub > from which the term difference set comes from .</ ref >

When and groups
When these groups were first formed many prominent and accomplished decorators could not have had the advantage of school training since interior design courses were rare and undeveloped during their youth.
When used in the broader sense, the term can include many different groups.
When looking at variations it needs to be kept in mind that different groups of people do not always sign one way and not the other, rather they prefer and use a particular form of a sign more often.
When telegraph messages were the state of the art in rapid long distance communication, elaborate systems of commercial codes that encoded complete phrases into single words ( commonly five-letter groups ) were developed, so that telegraphers became conversant with such " words " as BYOXO (" Are you trying to weasel out of our deal?
When Haydn and Mozart began composing, symphonies were played as single movements — before, between, or as interludes within other works — and many of them lasted only ten or twelve minutes ; instrumental groups had varying standards of playing, and the continuo was a central part of music-making.
When there are many different groups within a nation, citizenship may be the only real bond which unites everybody as equals without discrimination — it is a " broad bond " linking " a person with the state " and gives people a universal identity as a legal member of a specific nation.
When subjects were placed into groups and given random amounts of income, they spent their own money to reduce the incomes of the highest earners and increase the incomes of the lowest earners.
When industry groups lobbied to weaken regulation and a backlash against environmental regulations, the so called wise use movement gained importance and influence.
When exposed to the ultraviolet rays of sunlight, many explosive compounds containing nitrogen groups rapidly decompose, affecting their stability.
When the substituent groups are oriented in the same direction, the diastereomer is referred to as cis, whereas, when the substituents are oriented in opposing directions, the diastereomer is referred to as trans.
When the Romans and written history arrived in 57 BC, the country was sparsely populated by various tribal groups at the periphery of the empire.
When disagreements or rivalry arose, different groups moved to form their own states.
When voicing was lost in all dialects except the Wu group, this distinction became phonemic, and the system of initials and tones was rearranged differently in each of the major groups.
When not touring, Wertico divides his career among session work, producing, teaching, composing and leading his own groups.
When the practice of treating certain groups preferentially, or denying rights or benefits to certain groups, based on racial characteristics is institutionalized, it is termed “ institutional racism ”.
When the Japanese took control of the country, several American special operations groups stationed in the Philippines were introduced to the Filipino Martial Arts and swordsmanship, leading to this style reaching America despite the fact that natives were reluctant to allow outsiders in on their fighting secrets.
When considering isometry groups, one may restrict oneself to those where for all points the set of images under the isometries is topologically closed.
When Peru's military government allowed elections for the first time in a dozen years in 1980, the Shining Path was one of the few leftist political groups that declined to take part.
When the term emerged within the Anglo-American tradition during the 1960s, it was basically applied as a synonym for the search for patterns in the distribution of social groups, thus being closely connected to urban geography and urban sociology.
When states provide funding for groups considered by some to be terrorist, they rarely acknowledge them as such.
When the gallery opened in 2000, the collections were not displayed in chronological order but were rather arranged thematically into four broad groups each allocated a wing on levels 3 and 5 ( now levels 2 and 4 ):
When urgent telegrams from Republicans begged for Army help to put down the violence by paramilitary groups at election time, he told his Attorney General that, " the whole public is tired of these annual autumnal outbreaks in the South ," insisting that state militias should handle the problems, not the Army.
When this occurs, it is because the conflicting majorities are each made up of different groups of individuals.
When groups of wildebeest join together, the female to male ratio is larger, as the females flock to the areas held by fewer males.

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