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If a series is analysed which is known to be random – fair dice falls, or computer-generated pseudo-random numbers – and a trend line is fitted through the data, the chances of a truly zero estimated trend are negligible.
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If and series
If the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.
If it pleases symphony audiences as a light, jolly piece, a series of impressions musically expressed, it succeeds.
If a series is drawn then the country already holding the Ashes retains them.
* In the Tales of Old Dartmoor episode ( recorded in 1956 ) of The Goons radio comedy series, Grytpype-Thynne arranges for the prison to put to sea to visit the Château d ' If in France as part of a plan to find the treasure of the Count of Monte Cristo hid there.
If y is a point where the vector field v ( y ) ≠ 0, then there is a change of coordinates for a region around y where the vector field becomes a series of parallel vectors of the same magnitude.
If the next time the orbit loops around phase space in a different way, then it is impossible to rectify the vector field in the whole series of patches.
Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).
If Wycliffe was in philosophy the superior of his contemporaries and had no equal in scholastic discipline, he belongs with the series of great scholastic philosophers and theologians in which England in the Middle Ages was so rich – with Alexander of Hales, Roger Bacon, Duns Scotus, William of Ockham ( Occam ), and Thomas Bradwardine.
# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.
If the series is successful, collected chapters may be republished in paperback books called tankōbon.
If a manga series is popular enough, it may be animated after or even during its run, although sometimes manga are drawn centering on previously existing live-action or animated films ( e. g. Star Wars ).
If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the " sample mean " () to distinguish it from the " population mean " ( or < sub > x </ sub >).
In addition, multiple continuities are visited in the comic book series What If, What The --?!
Wender and Klein point out that pessimism can be useful in some circumstances: " If one is subject to a series of defeats, it pays to adopt a conservative game plan of sitting back and waiting and letting others take the risks.
If he claimed the throne, he would throw the country into yet another series of wars, and if he failed, he would be sacrificing everyone and everything he knew.
If snowfall stays on the ground for a series of years uninterrupted, the snowpack develops into a mass of ice called glacier.
If a series of messages are sent to the same receiver as in the example above, they can also be written as a cascade with individual messages separated by semicolons:
If a series of judicial decisions result in an interpretation of the law which the Executive considers does not reflect the intention of the policy, the Executive can change the legislation.
* In an issue of the What If series, Cannonball's brother Josh ( who would, in normal continuity, later become Icarus ) found and " adopted " a Sentinel.
If the Taylor series is centered at zero, then that series is also called a Maclaurin series, named after the Scottish mathematician Colin Maclaurin, who made extensive use of this special case of Taylor series in the 18th century.
If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.
If and analysed
If we assume the controller C, the plant P, and the sensor F are linear and time-invariant ( i. e., elements of their transfer function C ( s ), P ( s ), and F ( s ) do not depend on time ), the systems above can be analysed using the Laplace transform on the variables.
If a price change modifies consumers ' perception of the good, they should be analysed as Veblen goods.
If you took your problems to a Freudian analyst, they would be analysed in Freudian terms ; a Jungian would interpret them in Jungian terms ; a behaviourist would interpret them in terms of conditioning ; and so on.
If and which
If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.
`` If you become a Baptist, I will not '', Ann informed her husband, but sweeping her threat aside Adoniram continued to search for an answer to the personal dilemma in which he found himself.
If man is actually the product of his environment and if science can discover the laws of human nature and the ways in which environment determines what people do, then someone -- a someone probably standing outside traditional systems of values -- can turn around and develop completely efficient means for controlling people.
If the party of Adenauer and Erhart, with 45 per cent of the vote, approaches the party of Willy Brandt, which won 36 per cent, the result would be a stiffening of the old resolve.
If there is anything which we can do in the executive branch of the Government to speed up the processes by which we come to decisions on matters on which we must act promptly, that in itself would be a major contribution to the conduct of our affairs.
If it is decided to make a small shift which may be required from military aid or special assistance funds, in order to carry out the purposes of the Mutual Security Act through this new peaceful program, this will be a hopeful sign to the world.
If the last day ( due date ) for performing any act for tax purposes, such as filing a return or making a tax payment, etc., falls on Saturday, Sunday, or a legal holiday, you may perform that act on the next succeeding day which is not a Saturday, Sunday, or legal holiday.
If your computation on Form 1040 or Form 1040A shows you owe additional tax, it should be remitted with your return unless you owe less than $1, in which case it is forgiven.
If you file Form 1040A and the District Director computes your tax, any refund to which you are entitled will be mailed to you.
If we stop thinking in terms of tremendous multimegaton nuclear weapons and consider employing much smaller nuclear weapons which may be more appropriate for most important military targets, it would seem that the B-52 or B-70 could carry a great many small nuclear weapons.
If your pool is located on or near sloping ground, it may have natural drainage which is certainly more desirable than to be faced with the annual expense and labor of first pumping out the water and then scooping out all the debris.
If you have a house which heat doesn't penetrate easily, your unit will have less heat to remove.
If you will be using your car more than fifteen days, which isn't all unlikely, the daily rates drop quite sharply to $.86 a day for the Fiat 500 and to an infinitesimal $.30 a day for the Fiat 2100 Station Wagon.
If you drive greater distances than that, you'll just be skimming the surface and will never discover the enchantment, fascination and beauty which lured you in the first place to explore the hinterlands.
If he was sober, which was doubtful, he'd have him get in touch with Mr. Crombie.
If the volume is the molal volume, then Af is obtained on a molal basis which is the customary terminology of the chemists.
If one assumes that the average flux did not change between measurements, a mass-distribution curve is obtained which relates the flux of particles larger than a given radius to the inverse 7/2 power of the radius.
If we manage to keep track of a Bombus queen after she has left her feeding place, we may discover the snug little hideout which she has fixed up for herself when she woke up from her winter sleep.
If this is the case, one would expect that not only the various procedures just mentioned which alter the hypothalamic balance would influence emotional state and behavior but that emotion itself would act likewise.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.
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