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This is the use of the factor n-1 in the denominator of the formula, rather than just n. This occurs when the sample mean rather than the population mean is used to centre the data and since the sample mean is a linear combination of the data the residual to the sample mean overcounts the number of degrees of freedom by the number of constraint equations — in this case one.
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is and use
But apart from racial problems, the old unreconstructed South -- to use the moderate words favored by Mr. Thomas Griffith -- finds itself unsympathetic to most of what is different about the civilization of the North.
The sequence is determined by chance, and Mr. Cunningham makes use of any one of several chance devices.
This is the rhetoric of righteousness the beatniks use in defending their way of life, their search for wholeness, though their actual existence fails to reach these `` religious '' heights.
But what a super-Herculean task it is to winnow anything of value from the mud-beplastered arguments used so freely, particularly since such common use is made of cliches and stereotypes, in themselves declarations of intellectual bankruptcy.
`` The argument that is cutting most ice is that Hearst is the only candidate who is fighting the trusts fearlessly and who would use all the powers of government to disrupt them if he were elected.
for if this can be proved we shall surely be the gainers -- I mean, if there is a use in poetry as well as a delight ''.
It is even true that some among them use the sheer fact of conformity -- `` everyone does it '' -- as a criterion for conduct.
Without a precise knowledge of Germanic philology, however, it is debatable whether their use was not more often a source of confusion and error than anything else.
Often the historian must consider the use of intuition or instinct by those individuals or nations which he is studying.
Easily the best known of these three novels is The Space Merchants, a good example of a science-fiction dystopia which extrapolates much more than the impact of science on human life, though its most important warning is in this area, namely as to the use to which discoveries in the behavioral sciences may be put.
The narrator is an Alsatian serving with the French Army, and he has the same name ( Berger ) that Malraux himself was later to use in the Resistance ; ;
And by a skillful and unobtrusive use of imagery ( the enclosure is called a `` Roman-camp stockade '', the hastily erected lean-to is a `` Babylonian hovel '', the men begin to look like `` Peruvian mummies '' and to acquire `` Gothic faces '' ), Malraux projects a fresco of human endurance -- which is also the endurance of the human -- stretching backward into the dark abyss of time.
is and factor
Another growth factor is increased consumer demand for better quality and larger quantities of fabrics that go with a rising standard of living.
Actually, the engine displacement formula is the standard formula for computing the volume of a cylinder of any type with an added factor that represents the number of cylinders in the engine.
Another factor that may hold hope is for parallel recognition is, as one man says it: `` that the fad for educating top people along managerial lines is yielding to the technically trained approach ''.
For outdoor signs and displays, where the problem of weathering resistance is no longer a factor, the choice of plastics is almost unlimited.
It is presumed that this negative head was associated with some geometric factor of the assembly, since different readings were obtained with the same fluid and the only apparent difference was the assembly and disassembly of the apparatus.
However, a major factor in binding dirt is the attraction between surfaces that goes under the name of Van der Waal's forces.
It is assumed that the flux values increase by a factor of 2.512 per magnitude, in accordance with the opinion that the total mass flux in each unit range in magnitude is constant.
Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.
My aim in mentioning this factor obviously is not to give license to `` wild therapy '' but rather to encourage us to use the time-honored clinical casework skills we already possess, and to use them with greater confidence, precision, and professional pride.
While other conditions might be even more effective in bringing about a change from immobility to mobility in Kohnstamm reactivity, it is our hypothesis that all such conditions would have as a common factor the capacity to induce an attitude in the subject which enabled him to divorce himself temporarily from feelings of responsibility for his behavior.
The fact that such threat is potent in the beginning reading lessons is thought to be a vital factor in the continued pattern of failure or under-achievement these children exhibit.
One social-class factor which plays a large part in educational policy today is the fact that a great many school and college teachers are upward mobile from urban lower-class and lower-middle-class families.
Furthermore, the hydrolysis of paraoxon was studied in mammalian sera, and it was found that it is hydrolyzed by albumin ( or a factor attached to it ) in addition to arylesterase.
is and n-1
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
However, if it is known that it occurs once, then at most n-1 comparisons are needed, and the expected number of comparisons is
There are m − n-1 control points, and the convex hull of the control points is a bounding volume of the curve.
The number of 1-faces ( edges ) of the n-simplex is the ( n-1 ) th triangle number, the number of 2-faces ( faces ) of the n-simplex is the ( n-2 ) th tetrahedron number, the number of 3-faces ( cells ) of the n-simplex is the ( n-3 ) th pentachoron number, and so on.
The side length of each successive small triangle is 1 / 3 of those in the previous iteration ; because the area of the added triangles is proportional to the square of its side length, the area of each triangle added in the nth step is 1 / 9 of that in the ( n-1 ) th step.
This is calculated using the formula 100 x ( n-p ) / ( n-1 ), where n is the number of players and p is the player's position in an event.
This tensor W will have n ( n-1 )/ 2 independent components and this number is the dimension of the Lie algebra of the Lie group of rotations of an n-dimensional inner product space.
For example, when searching for a proper divisor of a random number n, it is better to enumerate the candidate divisors in increasing order, from 2 to n-1, than the other way around — because the probability that n is divisible by c is 1 / c. Moreover, the probability of a candidate being valid is often affected by the previous failed trials.
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