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* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
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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 required
If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.
If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.
If an atom bomb in 1945 could destroy an entire city surely the atomic arsenal we now have is more than adequate to fulfill any military objective required of it.
If they feel that we are taking a long-term view of their problems and are prepared to enter into reasonably long-term association with them in their development activities, they will be much more likely to undertake the difficult tasks required.
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 you were required to file a declaration of estimated tax for the calendar year 1961, it is not necessary to pay the fourth installment otherwise due on January 15, 1962, if you file your income tax return Form 1040, and pay your tax in full for the calendar year 1961 by January 31, 1962.
If he had income other than wages subject to withholding, he may be required to file Form 1040.
If all forms of a paradigm are grouped together within the dictionary, a considerable reduction in the amount of information required is possible.
If the force required to remove the coatings is plotted against film thickness, a graph as illustrated schematically in Fig. 5 may characteristically result.
If, however, we are seeking the optimal R-stage policy for a given feed state, only one search for a maximum is required at the final step.
If all the operating variables were varied simultaneously, Af operations would be required to do the same job, and as R increases this increases very much more rapidly than the number of operations required by the dynamic program.
If high accuracy is required in preflight leveling, it is usually necessary to integrate or doubly integrate the accelerometer outputs ( this also minimizes the noise problem ).
If the drift error is systematic, it can be canceled with a bias circuit which can be arranged and adjusted to supply the required compensating current.
If a small heater is available for the coldest nights, a slab or basement cistern can inexpensively provide the required thermal mass.
If the assets used are not identical ( so a price divergence makes the trade temporarily lose money ), or the margin treatment is not identical, and the trader is accordingly required to post margin ( faces a margin call ), the trader may run out of capital ( if they run out of cash and cannot borrow more ) and go bankrupt even though the trades may be expected to ultimately make money.
If the character encoding for a web page is chosen appropriately then HTML character references are usually only required for a markup delimiting characters mentioned above, and for a few special characters ( or not at all if a native Unicode encoding like UTF-8 is used ).
If precise dates are required, the beginning may be set in 802 AD, when the founder of the Khmer Empire, Jayavarman II pronounced himself universal monarch ( chakravartin ) and declared independence from Java, and the end may be set in 1431 AD, when Thai invaders from the kingdom of Ayutthaya sacked Angkor and caused the Khmer elite to migrate to Phnom Penh.
If a demonstration of ability or knowledge is required by law before being allowed to perform a task or job, this is referred to as licensure.
If the medication is mixed with formulas containing iron or soya products, larger doses may be required, as these substances may alter the absorption of thyroid hormone from the gut.
If the team scores a touchdown, starting with the 2010 season, it is required to attempt a 2-point conversion.
If the liquid and vapor are not evenly distributed across the superficial tower area as it enters the packed bed, the liquid to vapor ratio will not be correct in the packed bed and the required separation will not be achieved.
If liberty is taken to mean " the ability to exercise one's rights as provided for by the law and nature " then this is true, but if it means " the state when one is not held to nor required to perform anything against their will " then this is clearly false.
If a significant amount of greens work is required in a film, then the Greens may be an identifiable sub-department, with its own team-often of a size numbering double figures-and hierarchy ( eg.
If and use
If you elect to use the Standard Deduction or the Tax Table, and later find you should have itemized your deductions, you may do so by filing an amended return within the time prescribed for filing a claim for refund.
If you use a fiscal year, a year ending on the last day of any month other than December, your return is due on or before the 15th day of the 4th month after the close of your tax year.
If you do use a cold frame be sure that its ventilation is adequate.
If we could use all the small airfields we have in this country, we could disperse our strategic aircraft by a factor of 10 or more.
If you use parking attendants, can they be replaced by automatic parking gates??
If you use company transportation to meet trains or to haul visitors, would taxis be cheaper??
If a lot of rust shows in the drain, use a good flushing cleaner.
If you use one of the new year-round cooling system fluids such as `` Dowguard '' be sure to check it.
If you are going to produce for home use only, you will need only hand tools.
If A-Z could buy Ticonderoga cheaply and use their presses and dies and other equipment, if William could hit precisely the right promotion note, if the money hurdle was not insurmountable.
If we use a cylindrical coordinate system with basis vectors, then the gradient of and the divergence of are given by
If the resulting four kilobyte table size is too large for a given target platform, the table lookup operation can be performed with a single 256-entry 32-bit ( i. e. 1 kilobyte ) table by the use of circular rotates.
" If there is any doubt as to whether the sick person has reached the use of reason, or is dangerously ill, or is dead, this sacrament is to be administered ".
If the software works as intended and without issues during normal use, one can reasonably extrapolate the same level of stability in production.
If a pair cannot hit downwards, they will use flat strokes in an attempt to gain the attack.
If an implant is used, the individual runs the same risks and complications as those who use them for breast augmentation but has higher rates of capsular contracture ( tightening or hardening of the scar tissue around the implant ) and revisional surgeries.
If a woman is uncomfortable with her breasts ' asymmetry, she can minimize the difference with a corrective bra or use gel bra inserts.
If there are special ways to make a plural word, such as " ES " and " IES ", use them.
If the risk of asphyxiation is deemed to be high, doctors may use various devices ( such as an oropharyngeal airway, nasopharyngeal airway or endotracheal tube ) to safeguard the airway.
If we attempt to use the above formula to compute the derivative of f at zero, then we must evaluate 1 / g ′( f ( 0 )).
If a state is not observable, the controller will never be able to determine the behaviour of an unobservable state and hence cannot use it to stabilize the system.
If one employs the strict, limited definition of crannog which requires the use of timber, then sites in the Western Isles are stricken from the discussion.
If Neal Townsend breaks the contract and doesn't use any of Wisda's Landscaping's services, expectation damages paid to Wisda's Landscaping would be $ 500, which is the economic loss they suffered.
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