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There are many specific kinds of symmetric polynomials, such as elementary symmetric polynomials, power sum symmetric polynomials, monomial symmetric polynomials, complete homogeneous symmetric polynomials, and Schur polynomials.
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There and are
There are certainly large areas of understanding in the human sciences which in themselves and even without political invention can help to dispel our present fears.
There are many domains in which understanding has brought about widespread and quite appropriate reduction in ritual and fear.
There are, however, some wonderful chapters at the beginning of the second part, concerning the reactions of the Swedes in adversity.
There are ghostly scenes in which the little boy on his rocking horse rocks madly toward the climax that will magically give him the name of the winning horse.
There is probably some significance in the fact that two of the best incest stories I have encountered in recent years are burlesques of the incest myth.
There is evidence to suggest, in fact, that many authors of the humorous sketches were prompted to write them -- or to make them as indelicate as they are -- by way of protesting against the artificial refinements which had come to dominate the polite letters of the South.
There is essential pleasantness in reading the writing of men who are not angry, who can contend without quarreling.
There are in The Almagest no rules for determining in advance whether a new epicycle will be required for dealing with abberations in lunar, solar, or planetary behavior.
Said: `` There are things I must tell you about this man you are marrying which he does not know himself ''.
There is plenty more to recommend Gorton, the facts of whose life are given in The Life And Times Of Samuel Gorton, by Adelos Gorton.
There are millions who accept this doctrine, but few indeed are those who accept it so truly that the fate of humanity lies as a weight on their souls night and day.
There are some people, intelligent people, who seem to be untouched by the sea of wonder in which we are immersed and in which we spend our lives.
There are only two men remaining in Congress who, with Rayburn, voted for the declaration of war against Germany in 1917.
There and many
There are many possibilities, including poor circulation, a variety of neurological conditions, and functional disorders.
There were not many chairs, so that some preferred to sit on the edge of the porch, resting their feet on the ground, and others liked to sit where they could lean back against the wall.
There have been many extremely competent men who have been converted into very incompetent managers or submerged in paper work, to their own and the public's dissatisfaction and loss.
There is much that many industries can continue to learn from some of the more recent developments described below.
There are many types of ambiguity and many of them have been described by rhetoricians under such names as amphibology, parisology, and other ologies.
There are many grammatical misconstructions other than dangling modifiers and anatomicals which permit two different interpretations.
There has been a tendency on the part of many American linguists to assume that a phonemic transcription will automatically be the best possible orthography and that the only real problem will then be the social one of securing acceptance.
There and specific
There is impressive consistency between specific occupational preferences and the student's basic conception of what is for him a good way of life.
There is specific mention in " The Capture of Cerberus " to the fact that there has been a gap of twenty years between Poirot's previous meeting with Countess Rossakoff and this one.
There are buses with specific routes and destinations, generally written on their windshields or shouted out by a barker riding in the front seat.
There are two types of allophones, based on whether a phoneme must be pronounced using a specific allophone in a specific situation, or whether the speaker has freedom to ( unconsciously ) choose which allophone he or she will use.
There are only two specific exercises practiced separately ; the first is lying semi-supine ; resting in this way uses " mechanical advantage " as a means of releasing cumulative muscular tension.
In 2007, she wrote that she did not want to belittle the issue but was sceptical of the claims that specific actions would prevent catastrophe, then in 2008 that her doubts had been “ crystalised ” by Nigel Lawson's book An Appeal to Reason, before stating in 2009 that " There is no climate change, hasn ’ t anybody looked out of their window recently?
There is no specific symbol for strong aspiration, but can be iconically doubled for, say, Korean vs..
There are also cycling specific multi-tools that combine many of these implements into a single compact device.
There are numerous other countries, such as Cyprus, which although do not have an established church, still give official recognition to a specific Christian denomination.
There are codes using colors, like traffic lights, the color code employed to mark the nominal value of the electrical resistors or that of the trashcans devoted to specific types of garbage ( paper, glass, biological, etc.
There are musical genres and styles specific to each Celtic country, due in part to the influence of individual song traditions and the characteristics of specific languages:
In order to work, and as pointed out by Roger Penrose from 1986 on, inflation requires extremely specific initial conditions of its own, so that the problem ( or pseudoproblem ) of initial conditions is not solved: “ There is something fundamentally misconceived about trying to explain the uniformity of the early universe as resulting from a thermalization process.
There are, however, many specific categories of corporations and other business organizations which may be formed in various countries and jurisdictions throughout the world.
There is speculation that this line of research could lead to producing bacteria that have been engineered to perform specific reactions, for example, produce fuels, make medicines, combat global warming, and so on.
There were several serious confrontations between the U. S. and Denmark on security policy in the so-called " footnote era " ( 1982 – 88 ), when an alternative parliamentary majority forced the government to adopt specific national positions on nuclear and arms control issues.
There are ongoing issues concerning the validity and reliability of the diagnostic categories ; the reliance on superficial symptoms ; the use of artificial dividing lines between categories and from ' normality '; possible cultural bias ; medicalization of human distress and financial conflicts of interest, including with the practice of psychiatrists and with the pharmaceutical industry ; political controversies about the inclusion or exclusion of diagnoses from the manual, in general or in regard to specific issues ; and the experience of those who are most directly affected by the manual by being diagnosed, including the consumer / survivor movement.
There are documented cases of specific school projects that have seen views toppling the 3 million mark.
There are about 1000 environmental law treaties in existence today ; no other area of law has generated such a large body of conventions on a specific topic.
There is evidence that tangible rewards decrease intrinsic motivation in specific situations, such as when the student already has a high level of intrinsic motivation to perform the goal behavior.
There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory ; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.
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