When A, B and C are sorted in a counterclockwise order, this determinant is positive if and only if D lies inside the circumcircle.

When n = 1, the symplectic condition on a matrix is satisfied if and only if the determinant is one, so that Sp ( 2, F ) = SL ( 2, F ).

When A is a Euclidean domain ( e. g. a field, or the integers ) SK < sub > 1 </ sub >( A ) vanishes, and the determinant map is an isomorphism.

When infants use infant directed speech as a determinant of acceptable caregivers their cognitive development seems to thrive because they are being encouraged by adults who are invested in the development of the given infants.

When a non-price determinant of demand changes the curve shifts.

When has a Jacobian determinant, then is usually taken to be.

When computing path integrals, the functional measure needs to be " weighted " by the square root of the determinant of g

When integrating the above term over the fermion fields one obtains a factor of the square root of the determinant of the Dirac operator for each of the n Majorana fermions.

When she left anthropology she attacked the concept of skull size as a determinant of intelligence distinguishing the sexes.

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 the Know-nothings get control, it will read, All men are created equal except Negroes and foreigners and Catholics.

When this situation exists, the address Af will equal Af which was produced from Af.

When the partial pressure of is reduced, for example when a can of soda is opened, the equilibrium for each of the forms of carbonate ( carbonate, bicarbonate, carbon dioxide, and carbonic acid ) shifts until the concentration of in the solution is equal to the solubility of CO < sub > 2 </ sub > at that temperature and pressure.

When this happens, the limit of the product of these two factors will equal the product of the limits of the factors.

When placed in an electric or magnetic field, equal but opposite forces arise on each side of the dipole creating a torque τ:

When the two waves are in phase, i. e. the path difference is equal to an integral number of wavelengths, the summed amplitude, and therefore the summed intensity is maximum, and when they are in anti-phase, i. e. the path difference is equal to half a wavelength, one and a half wavelengths, etc., then the two waves cancel and the summed intensity is zero.

When an electron in an excited molecule or atom descends to a lower energy level, it emits a photon of light equal to the energy difference.

When they reached college, the experimental students were found to equal or surpass traditionally educated students on all outcomes: grades, extracurricular participation, dropout rates, intellectual curiosity, and resourcefulness.

When a system, for example, n moles of a gas of volume V at pressure p and temperature T, is created or brought to its present state from absolute zero, energy must be supplied equal to its internal energy U plus pV, where pV is the work done in pushing against the ambient ( atmospheric ) pressure.

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

When the hammer strikes, the head gets stopped by an opposite force coming from the target ; which is equal and opposite to the force applied by the head to the target.

When a subject takes an IQ test, the result is ranked compared to the results of the standardization sample and the subject is given an IQ score equal to those with the same test result in the standardization sample.

When Carlson countered that conservatives " are always arguing against ' special rights ' for gays ," Falwell said that equal access to housing, civil marriage, and employment are basic rights, not special rights.

When properly implemented, as in the Columbia University Kermit Software collection, Columbia University's Kermit group claim performance is equal to or better than other protocols such as ZMODEM, YMODEM, and XMODEM, especially on poor connections.

When afflicted individuals have an equal chance of being included in a study this is called truncate selection, signifying the inadvertent exclusion ( truncation ) of families who are carriers for a gene.

As Bakunin's associate, James Guillaume, put it in his essay, Ideas on Social Organization ( 1876 ), " When ... production comes to outstrip consumption ... veryone will draw what he needs from the abundant social reserve of commodities, without fear of depletion ; and the moral sentiment which will be more highly developed among free and equal workers will prevent, or greatly reduce, abuse and waste.

When the speed of the runner is equal to the initial jet velocity, the torque is zero ( i. e. when u = V < sub > i </ sub >, then T = 0 ).

When all the probabilities ρ < sub > i </ sub > ( rho ) are equal, I is maximal, and we have minimal information about the system.

When our information is maximal ( i. e., one rho is equal to one and the rest to zero, such that we know what state the system is in ), the function is minimal.

When the Sun's path crosses the equator, the length of the nights at latitudes + L ° and-L ° are of equal length.

: When the Persians meet one another in the roads, you can see whether those who meet are of equal rank.

When the Supreme Court revisited some of the territory covered by Luther v. Borden in cases like Baker v. Carr,, the Fourteenth Amendment's equal protection clause was the basis of its changed decisions.

When this is true, the two phases will be in equilibrium, and the gas pressure will equal the equilibrium vapor pressure of the liquid ( or solid ).