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Page "Group velocity" ¶ 37
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Some Related Sentences

For and waves
: For amber waves of grain,
: For amber waves of grain,
For example, in an analog audio signal, the instantaneous voltage of the signal varies continuously with the pressure of the sound waves.
For example, in AC power lines, the waves of electromagnetic energy propagate through the space between the wires, moving from a source to a distant load, even though the electrons in the wires only move back and forth over a tiny distance.
For water waves, this is already the case ; water waves propagate only on the surface of the water.
For waves that propagate in a medium, such as sound waves, the velocity of the observer and of the source are relative to the medium in which the waves are transmitted.
For waves which do not require a medium, such as light or gravity in general relativity, only the relative difference in velocity between the observer and the source needs to be considered.
For this reason, infrared, microwaves, and radio waves are thought to damage molecules and biological tissue only by bulk heating, not excitation from single photons of the radiation ( however, there does remain controversy about possible non-thermal biological damage from low frequency EM radiation, see below ).
For low-frequency radiation ( radio waves to visible light ) the best-understood effects are those due to radiation power alone, acting through the effect of simple heating when the radiation is absorbed by the cell.
For example, the sentence " The coat is red " has no observer, the sentence " We see the coat as red " ( where " we " indicates observers ) appears more specific in context as regards light waves and colour as determined by modern science, that is, colour results from a reaction in the human brain.
For cyclical processes, such as rotation, oscillations, or waves, frequency is defined as a number of cycles per unit time.
For p-polarization, a positive r or t means that the magnetic fields of the waves are parallel, while negative means anti-parallel.
For example, if gravitational waves were observed to propagate slower than c ( the speed of light in a vacuum ), that would imply that the graviton has mass.
The red dot overtakes two green dots when moving from the left to the right of the figure. New waves seem to emerge at the back of a wave group, grow in amplitude until they are at the center of the group, and vanish at the wave group front. For surface gravity waves, the water particle velocities are much smaller than the phase velocity, in most cases.
For who are so free as the sons of the waves?
For example, on the simplest of principles, one might expect to have standing waves in the extra compactified dimension ( s ).
For example, monohulls can power through waves that a multihull would be forced to ride over.

For and traveling
For certain game genres there are even powers for traveling to other dimensions or moving faster than light.
For objects traveling at speeds close to the speed of light, Newton ’ s laws were superseded by Albert Einstein ’ s theory of relativity.
For example, a model airplane of 1 kg, traveling due north at 1 m / s in straight and level flight, has a momentum of 1 kg m / s due north measured from the ground.
For a transverse-electric-magnetic ( TEM ) plane wave traveling through a homogeneous medium, the wave impedance is everywhere equal to the intrinsic impedance of the medium.
For example, in São Paulo, Manila and in Mexico City, each vehicle has a specific day of the week in which it is forbidden from traveling the roads during rush hour.
In the Star Trek: The Original Series episode " For the World Is Hollow and I Have Touched the Sky " ( 1968 ) the Enterprise encounters a computer-led generation ship, whose inhabitants do not know they are within a ship traveling through space but instead believe themselves to be on a solid world and that the created sky is real.
For many the town of West Yellowstone is a place to stay while traveling through Yellowstone National Park.
For those traveling south from North Jersey or New York, it was the first stretch of Jersey Shore beachfront before the then more popular Keansburg or Asbury Park.
For many years, Lordsburg has been a popular rest stop for people traveling to and from the West Coast by car on Interstate 10 and its precursor highway.
For many centuries it was used by Native Americans traveling between the bay and the Yachats River ( but only during low tide ).
For tractors with additional front-wheel drive, this operation often engages the 4-wheel locking differential ( diff-lock ) to help stop the tractor when traveling at road speeds.
For a time, she was poverty-stricken and lived in her van while traveling around the country doing street performances and small gigs.
For example, an intersection has dedicated left-turn signals for traffic traveling north.
For over three months, the Nez Perce outmaneuvered and battled their pursuers traveling across Oregon, Washington, Idaho, Wyoming, and Montana.
For traveling, they also split into bands of 20-30 people, but would come together for times of celebration.
For all vehicles traveling through air, the force of drag is proportional to the coefficient of drag ( C < sub > d </ sub >), to the square of the airspeed and to the air density.
For a rest frame, of course, and, hence thus justifying the statement about traveling in the time direction.
For an observer outside using Schwarzschild coordinates, infalling particles take an infinite time to reach the black hole horizon infinitely far in the future, while outgoing particles which pass the observer have been traveling outward for an infinite time since crossing the white hole horizon infinitely far in the past ( however, the particles or other objects experience only a finite proper time between crossing the horizon and passing the outside observer ).
For passengers traveling with small dogs, the airport created a pet relief area conveniently located just outside the baggage claim area.
For Catullus, the city was Durrachium Hadriae tabernam, " the taberna of the Adriatic ", one of the stopping places for a Roman traveling up the Adriatic, as Catullus had done himself in the sailing season of 56.
For instance, some believe that all romance novels are similar to those of Danielle Steel, featuring rich, glamorous people traveling to exotic locations.
For those traveling by road in North America, many truck stops have Internet kiosks, for which a typical charge is around 20 cents per minute.
For the next several years, Maverick spent a great deal of time away from home, either surveying frontier lands or traveling to New Orleans on business.
For the next several years he hit the lecture circuit, traveling so often that his wife, Bess Brown, had to help him with his schedules and even some of his speeches.

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