When this is done, the model radius still decreases with mass, but becomes zero at M < sub > limit </ sub >.

When the photon is emitted at a distance equal to the Schwarzschild radius, the redshift will be infinitely large.

When integrated over the radius, this implies that for b = 1, the total number of stars is proportional to r < sup > 2 </ sup >.

When the observer is on the terrestrial Arctic Circle and the radius of the circumpolar stars is 66 ° the celestial Arctic Circle is identical to the celestial Tropic of Cancer.

When the radius of Vega was measured to high accuracy with an interferometer, it resulted in an unexpectedly large estimated value of times the radius of the Sun.

When using radians as the unit, the length that is compared is the length of the radius of the circle.

When it is positive, the power series converges absolutely and uniformly on compact sets inside the open disk of radius equal to the radius of convergence, and it is the Taylor series of the analytic function to which it converges.

When ice skates are sharpened the blade is ground with a stone with a curved surface, dressed to either restore the hollow or provide a different radius.

When object travels from point P to point Q, as it does in the illustration to the left, over the radius of the circle goes around a change in angle.

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

When eradication has been unsuccessful and the disease has become established, management options include replacing susceptible citrus cultivars with resistant cultivars, applying preventive sprays of copper-based bactericides, and destroying infected trees and all surrounding trees within an appropriate radius.

When the yield of a nuclear weapon is less than one kiloton, its lethal radius from blast, 700 m ( 2300 ft ), is less than that from its neutron radiation.

When a star in a binary fills its Roche lobe ( either due to being very close to its companion or having a relatively large radius ), it begins to lose matter, which streams towards the neutron star.

When a tube of a narrow bore, often called a capillary tube, is dipped into a liquid and the liquid wets the tube ( with zero contact angle ), the liquid surface inside the tube forms a concave meniscus, which is a virtually spherical surface having the same radius, r, as the inside of the tube.

When pronator quadratus contracts, it pulls the lateral side of the radius towards the ulna, thus pronating the hand.

When a city is created, it has a culture rating of 1, which allows influence over the closest 8 squares only ( a sphere of influence 1 square in radius ).

When certain objects are designed digitally, revolutions like these can be used to determine surface area without the use of measuring the length and radius of the object being designed.

When viewed from the side, the blade of a figure skate is not flat, but curved slightly, forming an arc of a circle with a radius of.

When all the terms of the series are defined and it has a non-zero radius of convergence, then the series defines an analytic function.

When the smaller sphere has a radius greater than 0. 4142 of the radius of the larger sphere, it is no longer possible to fit into even the octahedral holes of the close-packed structure.

When calculating the length of a short north-south line at the equator, the sphere that best approximates that part of the spheroid has a radius of, or 6, 335. 439 km, while the spheroid at the poles is best approximated by a sphere of radius, or 6, 399. 594 km, a 1 % difference.

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.