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Page "Correspondence principle" ¶ 56
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where and velocity
And on the summit of Mount Washington, where thirty-five degrees below zero is commonplace and the wind velocity has registered higher than anywhere else in the world, there is a kind of wisdom to be found that other men often seek in the Himalayas `` because it is there ''.
where is the acoustic pressure and is the acoustic fluid velocity vector, is the vector of spatial coordinates, is the time, is the static mass density of the medium and is the bulk modulus of the medium.
where is the mass density of the fluid and is the fluid velocity.
where the velocity has been expressed as.
A more precise way to measure resistance is to place an object within an artificial, uniform stream of air where the velocity is known.
where I is the moment of inertia of the object ( in general, a tensor quantity ), and ω is the angular velocity.
where R < sub > i </ sub > is the position vector of particle i from the reference point, m < sub > i </ sub > is its mass, and V < sub > i </ sub > is its velocity.
where I is the moment of inertia of the object ( in general, a tensor quantity ) and ω is the angular velocity.
where ω is the angular velocity dθ / dt.
where | v | = Rω is the magnitude of the velocity ( the speed ).
where m is the mass of the molecule and v is its velocity.
where h is Planck's constant and p is the momentum of the particle ( mass × velocity for slow-moving particles ).
* Exhalation, especially where the velocity of exhaled air can influence the harmonic generating properties of a vibrating body, such as the reed of a musical instrument like the saxophone
The redshift is not defined for photons emitted inside the Scharzschild radius, the distance from the body where the escape velocity is greater than the speed of light.
Although the theory of special relativity forbids objects to have a relative velocity greater than light speed, and general relativity reduces to special relativity in a local sense ( in small regions of spacetime where curvature is negligible ), general relativity does allow the space between distant objects to expand in such a way that they have a " recession velocity " which exceeds the speed of light, and it is thought that galaxies which are at a distance of more than about 14 billion light-years from us today have a recession velocity which is faster than light.
In some models of broken Lorentz symmetry, it is postulated that the symmetry is still built into the most fundamental laws of physics, but that spontaneous symmetry breaking of Lorentz invariance shortly after the Big Bang could have left a " relic field " throughout the universe which causes particles to behave differently depending on their velocity relative to the field ; however, there are also some models where Lorentz symmetry is broken in a more fundamental way.
where ' is the mass of the particle and v its velocity.
where m is the mass of the particle, c is the speed of light in a vacuum, is the Lorentz factor, and v is the velocity of the particle regardless of wave behavior.
A dramatic increase in the velocity of money as the cause of hyperinflation is central to the " crisis of confidence " model of hyperinflation, where the risk premium that sellers demand for the paper currency over the nominal value grows rapidly.
If the bullets have to travel a varying distance from the case to the point where they engage the rifling, then this can result in variations in pressure and velocity.
In many vibrating systems the frictional force F < sub > f </ sub > can be modeled as being proportional to the velocity v of the object:, where c is called the viscous damping coefficient.
where the angular rotation of the frame is expressed by the vector Ω pointing in the direction of the axis of rotation, and with magnitude equal to the angular rate of rotation Ω, symbol × denotes the vector cross product, vector x < sub > B </ sub > locates the body and vector v < sub > B </ sub > is the velocity of the body according to a rotating observer ( different from the velocity seen by the inertial observer ).

where and is
But California is where we're goin ''.
He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.
Now I wish to enter the American market, where the competition is very strong.
from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.
The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.
A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.
In a society where everything is for sale, Marlowe is the only man who cannot be bought.
This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.
As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.
`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.
She was exposing herself to temptation which it is best to avoid where it can consistently be done.
Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.
but it is perennially restructured in situations where anchors are dragged or lost.
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
Finally we may note that the idea appears in educational theory where its influence is at present widespread.

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