alternating

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Zeilberger was the first to prove the elusive result in combinatorial theory known as the alternating sign matrix conjecture.

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Definitions (6)

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  1. Specifically, in electricity, periodicaliy reversing or changing the direction in such a manner that the total effect in one direction is the same as in the opposite direction. An alternating current is a current consisting of a series of half-waves of equal duration and equal intensity but opposite direction. One half-wave is called an alternation, two successive half-waves, or a complete wave, a cycle. The number of cycles per second is the frequency. Commercial frequencies are 25, 60, and 125 cycles per second. Since the alternating current varies from instant to instant, the square-root of the mean square of the instantaneous values is commonly employed and called the effective value of the alternating current, since it represents the effect or power of the latter. Under alternating current, alternating electromotive force, etc., usually the effective value is understood. If the successive half-waves gradually decrease in intensity, the current is called an oscillating current. Oscillating currents usually have frequencies of hundred thousands and millions of cycles per second. They are produced by condenser discharges and are used in wireless telegraphy, etc.
  2. Alternating group. See group.
  3. Alternating motion. See motion.

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Examples (50)

  • Thus for a while, and without speaking, they dipped their heads, alternating, to the box Presently, Cis lifted the bouquet--almost with reverence. —  The Rich Little Poor Boy
  • But Jerrold, who had lately moved from Regent's Park to his house, West Lodge, at Putney Lower Common, continued there to write Caudle Lectures "by the yard"--alternating the locale, according to Mark Lemon, with a tavern in Bouverie Street. —  The History of "Punch"
  • Others too felt that burning flood The second torpedo they caught and deflected on a beam of alternating-current magnetism that repelled it. —  The Ultimate Weapon
  • The two intermediate rollers had an alternating, lateral motion which spread or distributed the ink sideways before it reached the lowest roller This press was the first to have ink-distributing rollers and the first to be run by steam power. —  The Building of a Book A Series of Practical Articles Written by Experts in the Various Departments of Book Making and Distributing
  • We have seen that the subconscious mind may become, so to speak, diseased_--this consisting very largely in the processes of dissociation, complex formation, etc. Further, we have seen that this dissociated, automatically-acting "self" may exist either as a separate stream of thought running alongside of, or rather below the main current; or may alternate with it, by rising to the surface and occupying the whole stage to the exclusion of the normal consciousness--when we have those cases of alternating or multiplex personality which have so puzzled psychologists for many years--and the correct interpretation of which we are only just beginning to realize. —  The Problems of Psychical Research Experiments and Theories in the Realm of the Supernormal
 

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