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Page "Symmetry group" ¶ 10
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When and considering
When an HTML document includes special characters outside the range of seven-bit ASCII two goals are worth considering: the information's integrity, and universal browser display.
When considering changes to halakha, Conservative Judaism's rabbinical authorities may rely on historical analysis as well as religious considerations.
When considering computational problems, a problem instance is a string over an alphabet.
When considering an appropriate syntax, it is important to note that Dublin Core concepts and semantics are designed to be syntax independent, are equally applicable in a variety of contexts, as long as the metadata is in a form suitable for interpretation both by machines and by human beings.
When considering human-powered equipment, a healthy human can produce about 1. 2 hp briefly ( see orders of magnitude ) and sustain about 0. 1 hp indefinitely ; trained athletes can manage up to about 2. 5 hp briefly
When considering fuel economy in automobiles two measures are commonly used – miles per gallon ( mpg ), and litres per 100 km.
When considering all of The Picture and not just the excerpt, Coleridge describes how inspiration is similar to a stream and that if an object is thrown into it the vision is interrupted.
When considering past relationships within appropriate historic context, there were times when love and sex were separate and unrelated notions.
When considering the band structure and binding energy of a metal, it is necessary to take into account the positive potential caused by the specific arrangement of the ion cores – which is periodic in crystals.
When considering the role conceptual metaphor plays in the worldview of the community, the problem becomes twofold.
When considering a new application, the engineer can compare multiple learning algorithms and experimentally determine which one works best on the problem at hand ( see cross validation.
When considering light's particle-like properties, the light is modelled as a collection of particles called " photons ".
A number a is a root of P if and only if the polynomial x − a ( of degree one in x ) divides P. It may happen that x − a divides P more than once: if ( x − a )< sup > 2 </ sup > divides P then a is called a multiple root of P, and otherwise a is called a simple root of P. If P is a nonzero polynomial, there is a highest power m such that ( x − a )< sup > m </ sup > divides P, which is called the multiplicity of the root a in P. When P is the zero polynomial, the corresponding polynomial equation is trivial, and this case is usually excluded when considering roots: with the above definitions every number would be a root of the zero polynomial, with undefined ( or infinite ) multiplicity.
When considering the plans of Crown Prince Wilhelm, purely concerned with taking the citadel and not with French casualty figures, it can be considered a true siege.
When McNamara informed them that they were considering cancelling the program in November 1962, a firestorm of protest broke out in the House of Commons.
When Congress began considering a resolution of independence in June 1776, Adams ensured that Jefferson was appointed to the five-man committee to write a declaration in support of the resolution.
When considering only the state of the board, and after taking into account board symmetries ( i. e. rotations and reflections ), there are only 138 terminal board positions.
When considering private authority figures ( such as parents or an employer ), the First Amendment provides no protection.
When Congress had been considering the resolution of independence on June 8, the New York Provincial Congress told the delegates to wait.
When they described the gods of Celtic and Germanic tribes, rather than considering them separate deities, the Romans interpreted them as local manifestations or aspects of their own gods, a cultural trait called the interpretatio Romana.
When considering whether to allow Campbell to go ahead with the demonstration, their engineers had estimated that they stood to save $ 700, 000 in new installation costs in New York and New Jersey alone.
# When we are done considering all of the neighbors of the current node, mark the current node as visited and remove it from the unvisited set.
When considering similar or related signs as well as identical, they are 98 % cognate.
When considering the power gain for a particular direction given by an elevation ( or " altitude ") and azimuth, then:

When and isometry
* When g is periodic, there is an element of its mapping class that is an isometry of a hyperbolic structure on S.

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 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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