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Otherwise, the envelope of the wave will become distorted as it propagates.
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Otherwise and envelope
Otherwise, in cases where the group velocity varies with wavelength, the pulse shape changes in a manner often described using an envelope equation.
Otherwise and wave
Otherwise there is net absorption and the power of the wave is reduced during passage through the medium.
Otherwise the electrons can move along the field lines fast enough to shield the oscillations in potential, in which case an electrostatic ion cyclotron wave results.
Otherwise and will
Otherwise, UN will march blindly on to certain defeat.
Otherwise, development will not lead to longrun stability.
Otherwise it will be headed for bankruptcy, at worst, and at best towards starvation of other less dramatic but socially and culturally indispensable branches of learning.
Otherwise, special care must be taken to branch around them so that the program will not attempt to execute something in a data area as an instruction.
Otherwise, it will be reduced to spiritualist idealism, such as the philosophies of Kant or Hegel, which are only ideologies, that is the material product of social existence.
Otherwise, one government entity will have exclusive jurisdiction over the shared area.
Otherwise it will offer them as attachments.
Otherwise, any move in heap k will produce t = x < sub > k </ sub > ⊕ y < sub > k </ sub > from (*).
Otherwise stated, producers will be willing to supply more wheat at every price and this shifts the supply curve < tt > S1 </ tt > outward, to < tt > S2 </ tt >— an increase in supply.
Otherwise, distortion will occur.
Otherwise, he will be continually tempted to make an unfair use of the privilege of the historian ; he will sacrifice the interests of truth to the interests of party, national, or religious, or political.
Otherwise, the court will rule that the plaintiff " lacks standing " to bring the suit, and will dismiss the case without considering the merits of the claim of unconstitutionality.
Diver trails also called wreck trails can be used to allow scuba-divers to visit and understand archaeological sites that are suitable for scuba-diving Otherwise presentation will typically rely on publication ( book or journal articles, web-sites and electronic media such as CD-ROM ).
Otherwise, you will be trapped in a " loop of infinity ".
Otherwise, low-rpm power will suffer.
Otherwise, a subsequent will revokes earlier wills and codicils only to the extent to which they are inconsistent.
Otherwise if the pan is removed from the heat the bubbles will be reabsorbed into the water as it cools, possibly causing pitting on the bottom of the pan as the bubbles implode.
Otherwise, it will lead to the C term ( 4 ) of figure 1, which requires the degeneracy of the ground state.
Otherwise such a person will face the wrath of Amadioha ( the god of thunder and lightning ).
Otherwise you will be hearing from my solicitors, Messrs Geldsnatch, Geldsnatch and Blubberclutch ".
Otherwise the thing will lack legitimacy ...
Otherwise, the two will coalesce into a single neutron star.
Otherwise and become
Otherwise, the victim, once they become aware of the scam, can successfully retrieve their money and / or alert officials who can track the accounts used by the scammer.
Otherwise, the bill fails to become law unless it is presented to the President again and he chooses to sign it.
Otherwise he can only create a base fee ; a base fee only confers a right to the property on its owner, when its creator would have become entitled to it ; if its creator dies before he would have received it, the owner of the base fee gets nothing.
Otherwise, we would become this one-dimensional thing, and that had to be avoided at all costs.
Otherwise, they will remain on the station until they run out of money or become unhappy.
Otherwise, if the sum of the cost of two items is cheaper than the cost of the bundle of two of them together, then nobody would ever buy the bundle, effectively causing the price of the bundle to " become " the sum of the prices of the two separate items.
Otherwise, he continued, God the Father and God the Holy Ghost would have become incarnate with God the Son.
Otherwise, the first player to beat the banker by rolling 4-5-6 or triples will become the new banker ( after the existing banker settles the remaining bets and pockets whatever remains of his bank ).
Otherwise we become suspicious when the characters behave " uncharacteristically.
Otherwise they would have become British Overseas citizens.
Otherwise maybe I ’ d have holed up in my room and become a folk artist !”
Otherwise and .
Otherwise, she would be baited into a tantrum -- teased and provoked until she lost control of herself, and thus lost still another battle in the maddening struggle of Tom Lord Vs. Joyce Lakewood.
Otherwise, we go on endlessly trying to draw the line, color and other, as to which kind of man we wish to see dominate.
Otherwise, the outlook could be dark indeed.
Otherwise, we hold a reception.
Otherwise, you may be saddled with a good-size milk bill by milk drinkers.
Otherwise Mussorgsky reserves his vocal melodies for prolonged expressions of emotion -- Boris' first monologue, for example.
Otherwise, symbolic names may have previously been assigned to these same index words.
Otherwise, you may pay too much for the farm and get nothing for your labor.
Otherwise, freedom would mean removal from the state in which `` as the place of their past residence from birth, or for many years, it would be materially for their advantage to be at liberty to remain ''.
Otherwise, cross over the Corso and walk a block or so to the left.
Otherwise, the silence was complete.
Otherwise, the program included, as on Thursday, the Taras-Tchaikovsky `` Design For Strings '', the Dollar-Britten `` Divertimento '', the Dollar-De Banfield `` The Duel '' and the pas de deux from `` The Nutcracker ''.
Otherwise, straighten your halo, square your wings, and dig in.
Otherwise, individuals must pay for their Alexander Technique education out of pocket.
Otherwise, replace it with either the largest in its left sub tree ( in order predecessor ) or the smallest in its right sub tree ( in order successor ), and remove that node.
Otherwise, the senior justice in the majority assigns the writing of a decision.
Otherwise is the oblique asymptote of ƒ ( x ) as x tends to a.
Otherwise, if the sought key is less than the middle element's key, then the algorithm repeats its action on the sub-array to the left of the middle element or, if the input key is greater, on the sub-array to the right.
Otherwise, for the benefit of the wicked, it was more proper to set a limit for their rage by my silence, rather than any new things written to provoke daily the insanity of the envious.
Otherwise, the question is asked on, i. e. the first variable is assumed to be 0.
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