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Page "Euclidean vector" ¶ 5
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When and only
When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.
When fame came it changed Sandburg only slightly.
When McPherson pushed blindly through Snake Creek Gap in a potentially decisive movement, the only cavalry in his van was the Ninth Illinois Mounted Infantry, totally inadequate for its role.
When these chores were finished, only then, was she allowed whatever freedom she could find.
When we become firm enough to stand for those ideals which we know to be right, when we become hard enough to refuse to aid nations which do not permit self-determination, when we become strong enough to resist any more drifts towards socialism in our own Nation, when we recognize that our enemy is Communism not war, and when we realize that concessions to Communists do not insure peace or freedom, then, and only then will we no longer be `` soft ''.
When one powerful nation strives to emulate the success of another, it is only natural.
When he showed this model as his `` solution '' as to how the Howe sewing machine operated, he was told he was `` wrong '', and discovered to his amazement that the Howe Machine, which was unknown to him in detail, used two threads while the one that he had perfected used only one.
When the automobile was in its embryonic stage, such roads as existed were pretty much open roads with the tacit understanding that horses should not be unduly terrified being about the only rule governing where, when and how fast a car could go.
When necessary, we should make it clear that countries which choose to derive marginal advantages from the cold war or to exploit their potential for disrupting the security of the world will not only lose our sympathy but also risk their own prospects for orderly development.
When helped by a high degree of structure in lesson presentation, then, and only then, does such a child attain unusual success.
When a word represents a larger construction of which it is the only expressed part, it normally has more stress than it would have in fully expressed construction.
When she reached port, she was found to have on board only eight men, all near starvation.
When you stand before the barrel-vaulted colonnade you have the impression that the statue at the end is at a considerable distance, yet it is actually only a few feet away.
When a man invests a block of his years at a university without gaining the coveted promotion, not only is he faced with the problem of starting over but there is also a certain depreciation in the market value of his services.
When he was made a vice president only a year after the new sales job, a leading business magazine ran his photograph with a brief biography in a series on national business leaders of the future.
When the solution finally came to him, one night while he was in bed, he was so shaken by its simplicity that he could only wonder why it had not occurred to him before.
When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.
When one attempts to solve problems in this class, it makes no difference whether ZF or ZFC is employed if the only question is the existence of a proof.
When Ted Peate, England's last batsman, came to the crease, his side needed just ten runs to win, but Peate managed only two before he was bowled by Harry Boyle.
When talking about those who have made " shipwreck " of their faith ( 1 Tim 1: 19 ), Wesley claims that " not one, or a hundred only, but I am persuaded, several thousands ... innumerable are the instances ... of those who had fallen but now stand upright.
When Tennessee seceded, though the vote did not win a majority in East Tennessee, Johnson was forced to flee from the state with armed security ; he was in fact the only Senator from the seceded states to continue participation in Congress.
When they lost control of Assyria itself, the name Syria survived and was applied only to the land of Aramea to the west, that had once been part of the Assyrian empire.
When sitting in review of a decision, the Court will only look at the method in which the decision was arrived at, whereas in an administrative appeal the correctness of the decision itself will be examined, usually by a higher body in the agency.
When using the works of his authorities Alexander does not only review their reasoning but also gives conclusions, expands on them, and offers his agreements and disagreement with them.
When Alaska Natives enrolled in their regional corporations under the terms of the Alaska Native Claims Settlement Act of 1971 ( ANCSA ), the Aleut Corporation attracted only about 2, 000 enrolees who could prove a blood quantum of 1 / 4 or more Alaska Native ( including Aleut ).

When and magnitude
When referring to total energy output, the proper term is bolometric magnitude.
When the heat release oscillations are in phase with the pressure oscillations, the Rayleigh Index is positive and the magnitude of the thermo acoustic instability is maximised.
When considering human-powered equipment, a healthy human can produce about 1. 2 hp briefly ( see orders of magnitude ) and sustain about 0. 1 hp indefinitely ; trained athletes can manage up to about 2. 5 hp briefly
When he plotted the spectral types of these stars against their absolute magnitude, he found that dwarf stars followed a distinct relationship.
When truncating, a number of this order of magnitude is between 10 < sup > 6 </ sup > and 10 < sup > 7 </ sup >.
When a system expels or accelerates mass in one direction, the accelerated mass will cause a force of equal magnitude but opposite direction on that system.
When the diode is forward biased, the injected carrier concentration is typically several orders of magnitude higher than the intrinsic level carrier concentration.
When cardinal utility is used, the magnitude of utility differences is treated as an ethically or behaviorally significant quantity.
# When a reaction is reversed, the magnitude of ΔH stays the same, but the sign changes.
:" When I first put pen to paper to write The Golden Bough I had no conception of the magnitude of the voyage on which I was embarking ; I thought only to explain a single rule of an ancient Italian priesthood.
When Eta Carinae was first catalogued in 1677 by Edmond Halley, it was of the 4th magnitude, but by 1730, observers noticed it had brightened considerably and was, at that point, one of the brightest stars in Carina.
When multiplying numbers, the magnitude of the product is always just the product of the two magnitudes.
When the restoring force of the cantilever exceeds tip-sample adhesion force the probe jumps out of contact, and the magnitude of this jump is often used as a measure of adhesion force or rupture force.
When the heat and work transfers in the equations above are infinitesimal in magnitude, they are often denoted by δ, rather than exact differentials denoted by " d ", as a reminder that heat and work do not describe the state of any system.
When rounding to a predetermined number of significant digits, the increment m depends on the magnitude of the number to be rounded ( or of the rounded result ).
When using a CCD camera to conduct photometry there are a number of possible ways to extract a photometric measurement ( e. g. the magnitude of a star ) from the raw CCD image.
When a system expels mass in one direction, the force the expelled mass applies to the system is called thrust ; the force the system applies to the mass being expelled is of equal magnitude but opposite direction.
When Jones won all four, the sports world searched for ways to capture the magnitude of his accomplishment.
When the lie is of sufficient magnitude it may succeed, due to the victim's reluctance to believe that an untruth on such a grand scale would indeed be concocted.
When a part is subjected to a cyclic stress, also known as stress range ( Sr ), it has been observed that the failure of the part occurs after a number of stress reversals ( N ) even if the magnitude of the stress range is below the material ’ s yield strength.
When the force is not perpendicular to the point of interest, such as Point O in Images B and C, the magnitude of the Moment, M of a vector F about the point O is
When solar irradiance is measured on the outer surface of Earth's atmosphere, the measurements can be adjusted using the inverse square law to infer the magnitude of solar irradiance at one AU and deduce the solar constant.
When the magnitude of the disaster became evident, there was a general panic.
When the right hand side of this equation is positive, there is a nonzero solution for ψ ( remember that the magnitude of a complex number can be positive or zero ).

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