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For and amplitudes
For example, sound waves in air are oscillations in atmospheric pressure and their amplitudes are proportional to the change in pressure during one oscillation.
For the probability that a certain event will happen, one sums the probability amplitudes for all of the possible ways in which the event can occur, and then takes the square of the length of the result.
For those media in which the amplitudes are unchanged but a differential phase delay occurs, the Jones matrix is unitary, while those affecting amplitude without phase have Hermitian Jones matrices.
For larger amplitudes, the period increases gradually with amplitude so it is longer than given by equation ( 1 ).
For instance, the transform of a musical chord made up of pure notes ( without overtones ) expressed as amplitude as a function of time, is a mathematical representation of the amplitudes and phases of the individual notes that make it up.
For quantum amplitudes, the word entanglement replaces the word correlation, but the analogy is exact.
For example, the Waldmeier effect is the phenomenon that cycles with larger maximum amplitudes tend to take less time to reach their maxima than cycles with smaller amplitudes ; there is also a negative correlation between maximum amplitudes and the lengths of earlier cycles, which allows a degree of prediction.
For example, twistor string theory may simplify calculating scattering amplitudes from Feynman diagrams.
For small amplitudes, sound pressure and particle velocity are linearly related and their ratio is the acoustic impedance.
For this, the self-propelled model is exposed to a series of zig-zag maneuvers at different rudder angle amplitudes.
For tree interactions where some quark flavors ( e. g. very heavy ones ) have much higher interaction amplitudes than others, such as CP-violating or Higgs interactions, these penguin processes may have amplitudes comparable to or even greater than those of the direct tree processes.

For and up
For three days, their stolid oxen had plodded up a blazing valley as flat and featureless as a dead sea.
For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.
For Adams had made up his mind before all the facts were available.
For a time, urging Breasted to give up his public relations work and take up writing instead, he hoped to persuade him to become his assistant in research for the labor novel ; ;
For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.
For 25-cents load up the cooler with ice and keep cool pop in the car.
For those who plan to travel to Europe by one route and return by another some agencies offer a service whereby you can pick up a car in one city on arrival and leave it in another city, or even another country, when you are ready to return home.
For example, to move ( as the score requires ) from the lowest F-major register up to a barely audible N minor in four seconds, not skipping, at the same time, even one of the 407 fingerings, seems a feat too absurd to consider, and it is to the flautist's credit that he remained silent throughout the passage.
For example, one hebephrenic man used to annoy me, month after month, by saying, whenever I got up to leave and made my fairly steoreotyped comment that I would be seeing him on the following day, or whenever, `` You're welcome '', in a notably condescending fashion -- as though it were his due for me to thank him for the privilege of spending the hour with him, and he were thus pointing up my failure to utter a humbly grateful, `` thank you '' to him at the end of each session.
For internal political reasons, the union asks for ( and accepts ) increases in the basic wage rate, and would vigorously oppose a reduction in this rate, but the adjustment of the basic wage rate upwards is essentially up to the discretion of the companies of the industry.
For before someone takes up an attitude toward death, suffering, or their infliction, they have no moral quality at all.
For the first three weeks, the ship skirted up the east coast of Great Britain, then turned westward.
For three or four years in the mid-1950's, this complaint was heard rumbling up from the Senate floor whenever there was a dull legislative afternoon.
For the next hour he scrambled happily up and down the ladder, sharing the excitement of reporters who had seen McKinley's assassination, the Iroquois Theater fire in Chicago, and the Hall-Mills trial.
For the first time in his life he forgot the lyrics midway through and had to cover up by humming the rest.
Everybody returned after intermission for the miscellaneous sweepings of the Fantasy For Piano, Chorus, And Orchestra In C Minor, made up by its composer to fill out one of his programs.
For some reason, this ellipsis in the conversation spread until it swallowed up every other topic.
" For some time, Lincoln continued earlier plans to set up colonies for the newly freed slaves.
For one thing, it put paid to his idea of taking up medicine as a career ... His uniqueness lay in his universalism.
For general computer use access technology such as screen readers, screen magnifiers and refreshable Braille displays has been widely taken up along with standalone reading aids that integrate a scanner, optical character recognition ( OCR ) software, and speech software in a single machine.
" Swift extends the metaphor to get in a few jibes at England ’ s mistreatment of Ireland, noting that " For this kind of commodity will not bear exportation, and flesh being of too tender a consistence, to admit a long continuance in salt, although perhaps I could name a country, which would be glad to eat up our whole nation without it.
For most of the year, aardwolves spend time in shared territories consisting of up to a dozen dens, which are occupied for six weeks at a time.

For and about
For weeks I wandered about this neighborhood of warehouses and garages, truck terminals and taxi repair shops, gasoline pumps and longshoremen's lunch counters, yet never did I cease to feel myself a stranger there.
For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??
For the first time, he be sad about the move.
For example, probably very few people know that the word `` visrhanik '' that is bantered about so much today stems from the verb `` bouanahsha '': to salivate.
For all meteorites, the average nickel content is about 2.5 per cent.
For instance, the following statement was rated low in compulsivity, `` She's naturally quite neat about things, but it doesn't bother her at all if her room gets messy.
For the Smith-Hughes, George-Barden, and National Defense Act of 1958, the cumulative total of Federal expenditures in 42 years was only about $740 million.
For radiosterilization, to destroy all organisms for long-term preservation -- about 4.5 Mrad for nonacid foods of low salt content.
For destruction of insects -- about 25,000 Aj.
For the small diameter fibers now technically feasible and required for about 100 Af resolution, Af.
For example, the BBB has reported it was receiving four times as many inquiries about quack devices and 10 times as many complaints compared with two years ago.
For almost two months, the defendant and the world heard from individuals escaped from the grave about fathers and mothers, graybeards, adolescents, babies, starved, beaten to death, strangled, machine-gunned, gassed, burned.
For a number of years the board used a machine to keep a permanent record but abandoned the practice about two years ago.
For the year to date, sales of the company's farm equipment dealers still lag about 5% behind 1960.
For example, farm equipment shipments of International Harvester in August climbed about 5% above a year earlier, Mr. Keeler reports.
For the first few months of their marriage she had tried to be nice about Gunny, going out with him to watch this pearl without price stamp imperiously around in her stall.
For a moment, anger darkened the hallway about her, and when she found her voice, anger thickened it.
For example, Madagascar's central highland plateau has become virtually totally barren ( about ten percent of the country ), as a result of slash-and-burn deforestation, an element of shifting cultivation practiced by many natives.
For Rees's Cyclopaedia he wrote articles about Chemistry, Geology and Mineralogy, but the topics are not known.
For Hume, we assume that experience tells us something about the world because of habit or custom, which human nature forces us to take seriously.
For him, " probability " means a higher chance of occurring, and brings about a higher degree of subjective expectation in the viewer.
For example, the giant elliptical galaxy M87 has an absolute magnitude of − 22 ( i. e. as bright as about 60, 000 stars of magnitude − 10 ).
For example, cold weather crops like rye, oats, wheat, and apples are expected to decline by about 15 % in the next fifty years and strawberries will drop as much as 32 % simply because of projected climate changes of a few degrees.
For example, in the authoritative modern monograph about the creed, J. N. D.
For about a century it belonged to the Delhi empire, and then fell into Uzbek hands.

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