When proper units are used for tangential speed v, rotational speed ω, and radial distance r, the direct proportion of v to both r and ω becomes the exact equation:

When the κ angle is zero, the ω and φ axes are aligned.

** When the phase is non-zero, the entire waveform appears to be shifted in time by the amount φ / ω seconds.

When the field is an arbitrary function of time t, the polarization is a convolution of the Fourier transform of χ ( ω ) with the E ( t ).

When properly adjusted it can alter the spectral phase φ ( ω ) of the input pulse so that the output pulse is a bandwidth-limited pulse with the shortest possible duration.

When the pulses from both beams overlapped in space and time, the Ford researchers observed a signal at ω + ω < sub > v </ sub >, which is the blue-shifted CARS signal.

When the difference frequency ω < sub > p </ sub >- ω < sub > S </ sub > approaches ω < sub > v </ sub >, the oscillator is driven very efficiently.

When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.

When they express themselves it is incandescent hatred that shines forth, the rage of repudiation, the ecstasy of negation.

When I try to work out my reasons for feeling that this passage is of critical significance, I come up with the following ideas, which I shall express very briefly here and revert to in a later essay.

When the proprietor dies, the establishment should become a corporation until it is either acquired by another proprietor or the government decides to drop it.

When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.

When I take over Taliesin, the first thing I'll do is fire you ''.

When someone in the audience rose and asked how does it feel to be a celebrity, Carl said, `` A celebrity is a fellow who eats celery with celerity ''.

When decision makers act within this frame they determine whether a claim put forward in the name of religion is to be accepted by the larger community as appropriate to religion.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When we turn to Aristotle's ideas on the moral measure of literature, it is at once apparent that he is at times equally concerned about the influence of the art.

When their faith in civil liberties is tested against strong pressures of social expediency in specific issues, e.g., suppression of `` dangerous ideas '', many waver and give in.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

When I first came across Samuel Johnson's pronouncement, `` the remedy for the ills of life is palliative rather than radical '', it seemed to me to sum up the profoundest of political and social truths.

When all else fails, it is argued that open sessions slow down governmental operations.

When a person has thoughtlessly or deliberately caused us pain or hardship it is not always easy to say, `` Just forget it ''.

When a person meets God's requirements for the experience of forgiveness he is forgiven.

When I hold my son he stiffens his whole body in my arms until he is as straight and stiff as a board.

When different colors are used, she is just as likely to color trees purple, hair green, etc..

When we become firm enough to stand for those ideals which we know to be right, when we become hard enough to refuse to aid nations which do not permit self-determination, when we become strong enough to resist any more drifts towards socialism in our own Nation, when we recognize that our enemy is Communism not war, and when we realize that concessions to Communists do not insure peace or freedom, then, and only then will we no longer be `` soft ''.

When one powerful nation strives to emulate the success of another, it is only natural.

When a man is laid to rest, he is entitled to stay put.

When I talked to Ching about it, he said, Everyone can learn, if he is not a Reactionary or lazy.

When a beam of silver atoms was passed through a specially shaped magnetic field, the beam was split based on the direction of an atom's angular momentum, or spin.

When a body is acted upon by external contact forces, internal contact forces are then transmitted from point to point inside the body to balance their action, according to Newton's second law of motion of conservation of linear momentum and angular momentum ( for continuous bodies these laws are called the Euler's equations of motion ).

When the angular velocity of this co-rotating frame is not constant, that is, for non-circular orbits, other fictitious forces — the Coriolis force and the Euler force — will arise, but can be ignored since they will cancel each other, yielding a net zero acceleration transverse to the moving radial vector, as required by the starting assumption that the vector co-rotates with the planet.

When a body at these points is perturbed, it moves away from the point, but the factor opposite of that which is increased or decreased by the perturbation ( either gravity or angular momentum-induced speed ) will also increase or decrease, bending the object's path into a stable, kidney-bean-shaped orbit around the point ( as seen in the rotating frame of reference ).

When a direction is assigned to rotational speed, it is known as rotational velocity or angular velocity.

When they rope out, the length of their funnel increases, which forces the winds within the funnel to weaken due to conservation of angular momentum.

When it is spun up to speed with its axis pointing in some direction, due to the law of conservation of angular momentum, such a wheel will normally maintain its original orientation to a fixed point in outer space ( not to a fixed point on Earth ).

When used together with adaptive optics, infrared interferometers, such as two 10 meter telescopes at Keck Observatory or the four 8. 2 meter telescopes that make up the Very Large Telescope Interferometer, can achieve high angular resolution.

When calculating with SI units, the standards would be for mass, kilograms ; for radius, meters ; and for angular velocity, radians per second.

When obtaining photometry for a point source ( an object with an angular diameter that is much smaller than the resolution of the telescope ) the goal is to add up all the light from the object and subtract the light due to the sky.

When the nearer object has a larger angular diameter than the farther object, thus covering it completely, the event is not a transit but an occultation.

When added to both sides, it will have the same sign as the angular acceleration term:

When Lassen Peak formed it looked much like the nearby Chaos Crags domes do today, with steep sides covered by angular rock talus.

When spinning the disk while observing an object " through " the disk, preferably through a relatively small circular sector of the disk ( the viewport ), for example, an angular quarter or eighth of the disk, the object seems " scanned " line by line, first by length or height or even diagonally, depending on the exact sector chosen for observation.

When using the correct angular momentum conservation in calculations the predicted effect is twice as large as when the erroneous conservation of linear momentum is used.

When the angular velocity is expressed with respect to a coordinate system coinciding with the principal axes of the body, each component of the angular momentum is a product of a moment of inertia ( a principal value of the inertia tensor ) times the corresponding component of the angular velocity ; the torque is the inertia tensor times the angular acceleration.

When the head translates, the angular direction of near targets changes faster than the angular direction of far targets.

When referring to angular momentum, it is best to simply use the quantum number ℓ.

When a vessel ( typically a tube or bottle ) containing a mixture of proteins or other particulate matter, such as bacterial cells, is rotated at high speeds, the angular momentum yields an outward force to each particle that is proportional to its mass.

When the target passed through the sights, the timer was started, which started another sight rotating forward at twice the angular speed of the aircraft.