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While seldom used explicitly, the geometric view of the complex numbers is implicitly based on its structure of a Euclidean vector space of dimension 2, where the inner product of complex numbers and is given by ; then for a complex number its absolute value || coincides with its Euclidean norm, and its argument with the angle turning from 1 to.
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While and seldom
While they may occur in forests and woodlands dominated by other tree types, these are marginal habitats for the family and are seldom used.
While the Alliance continually insisted that he had little support, and there were limited clashes with the smaller SCIRI, he was seldom condemned by his more senior clerics.
While the members of the genus Conopophaga always are found near the forest floor, seldom rising more than 1. 5 m above the ground, they also seldom travel or spend much time on the ground ( though they do feed there ; see diet ).
While lateral thinking may help you construct such puzzles, the lateral thinking tools will seldom help you solve puzzles.
While Eastern Screech Owls have lived for over 20 years in captivity, wild birds seldom, if ever live that long.
While the labeling of an attack ( on strategic and tactical levels ) seldom is controversial, it is much more so in regard to the initiation of a war.
While Native Americans might attempt to raid horses under cover of darkness, they rarely attacked a train ; wagons were seldom circled defensively, contrary to popular belief.
While seldom aggressive, howler monkeys do not take well to captivity and are of surly disposition, hence are the only monkey in their forests not made a pet by the Native Americans.
While a single porro prism can be constructed to work as well as a roof prism, it is seldom used as a such.
While Shewhart drew from pure mathematical statistical theories, he understood that data from physical processes seldom produced a " normal distribution curve "; that is, a Gaussian distribution or " bell curve ".
While people can fake in practice they seldom do so to any significant level.
While still acceptable, this claim style is seldom used in the U. S. because it is counted for filing fee purposes according to the number of claims that it references.
While he seldom visited his home town, he kept the affection and respect of his townspeople to a most unusual degree.
While the album's lyrics dealt with topics such as drug dealers, prostitution, and transvestites, the music itself was seldom dark, and tracks like " Rock ' n ' Roll Doctor " and " It's Alright " ( the latter sung by drummer Bill Ward — a decision supported by Ozzy Osbourne ), were very different from Black Sabbath's earlier recordings.
While this area is now seldom offered as a field of study in itself, in which one might become a specialist, there are related fields emerging, as may be judged by the titles of academic journals, some of which have changed to reflect the passage of time since 1989 and the effect of the end of Soviet rule.
While regular forms, they are so seldom used, peculiarly in spoken language, that their use strikes one as odd.
: While the so-called historiographical " rehabilitation of the canon " has been underway for some time now, Morgan's emergent evolutionist position ( which was the highest expression of his attempt to place the study of mind back into such a " wider " natural history ) is seldom mentioned in more than passing terms even within contemporary history of psychology textbooks.
While praising the acting and William Wyler's " close-to " direction, he also had high praise for the chariot race: " There has seldom been anything in movies to compare with this picture's chariot race.
While full convergence might be seen in genetic algorithms using only cross over, such convergence is seldom seen in genetic programming using Koza's subtree swapping crossover.
While females have four teats in their pouches and can have up to 3 young per birth, they seldom suckle more than two.
While swordsmanship continued to be practiced, it was eclipsed in popularity by archery and the use of cavalry, was generally not as systematized as Japanese sword schools, and was seldom practiced beyond members of the military and their associates.
While he still came to the ring with the belt, the Light Heavyweight Championship was all but forgotten as Gill seldom defended the title on television or at house shows.
While the dirham is a fully convertible currency, export of the local currency is prohibited by law, but seldom controlled.
While and used
While some suppression and some denial are not only necessary but healthy, the worker's clinical knowledge must determine how these defenses are being used, what healthy shifts in defensive adaptation are indicated, and when efforts at bringing about change can be most effectively timed.
While we had expected that compulsive children in the unstructured school setting would have difficulty when compared to those in the structured, we were surprised to find that the achievement of the high compulsives within the schools where the whole-word method is used in beginning reading compares favorably with that of the low compulsives.
While the U. S. Department of Labor has a program of projecting industry and occupational employment trends and publishing current outlook statements, there is little tangible evidence that these projections have been used extensively in local curriculum planning.
While the arithmetic mean is often used to report central tendencies, it is not a robust statistic, meaning that it is greatly influenced by outliers.
While most alphabets have letters composed of lines ( linear writing ), there are also exceptions such as the alphabets used in Braille, fingerspelling, and Morse code.
While Zhuyin is not used as a mainstream writing system, it is still often used in ways similar to a romanization system — that is, for aiding in pronunciation and as an input method for Chinese characters on computers and cellphones.
While current mouthwash treatments must be used with a degree of frequency to prevent this bacteria from regrowing, future treatments could provide a viable long term solution.
While resistant to most beta lactam antibiotics commonly used for skin infections, it remains sensitive to alternative antibiotics, e. g., clindamycin ( Cleocin ), trimethoprim-sulfamethoxazole ( Bactrim ), and doxycycline ( unlike hospital-acquired MRSA that may only be sensitive to vancomycin IV ).
While scholars wanting to learn Greek used to employ learned Greeks to teach them directly, the Aldine editions, edited by Greek scholars, allowed many scholars across Europe to study Greek.
While the 68000 family has a 32-bit design, the 68000 used in several early models is generally referred to as 16-bit.
While the term " Afghani " is typically used in reference to the unit of Afghan currency, some use the term to indicate a person or thing of, from, or related to Afghanistan, e. g., a citizen of Afghanistan.
While popular during the 1950s, these terms are infrequently used today.
While hunting they used small watercrafts called Baidarkas and during travel they used their large Baidaras.
While English and Russian are the dominant languages used by Aleuts living in the US and Russia respectively, the Aleut language is still spoken by several hundred people.
While most foods are harvested during the autumn, foods particularly associated with the season include pumpkins ( which are integral parts of both Thanksgiving and Halloween ) and apples, which are used to make the seasonal beverage apple cider.
While not without criticism ( e. g. by Neusner, 1998 ), the Steinsaltz edition is widely used throughout Israel, the United States and the world.
While the early explorers used horses to cross the outback, the first woman to make the journey riding a horse was Anna Hingley, who rode from Broome to Cairns in 2006.
While modern Roman Catholic scholars openly recognize the Greek additions as clearly being additions to the text, the Book of Esther is used twice in commonly used sections of the Catholic Lectionary.
" While the document itself is not in any way actual law, it is used by the town council, board of adjustment, and other committees to guide decision making as to what types of development are appropriate.
While both and combination are commonly implemented as a way of breaking the execution of a console application, they are also used for similar effect in integrated development environments.
While early German tanks, Stuka dive-bombers and concentrated forces were used in the Polish campaign, the majority of the battle was conventional infantry and artillery based warfare and most Luftwaffe action was independent of the ground campaign.
While proven useful in the past, barbiturates are no longer commonly used in psychiatry ; thus the option of either benzodiazepines or ECT.
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