When the intermediate states at intermediate times are energy eigenstates ( collections of particles with a definite momentum ) the series is called old-fashioned perturbation theory.

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 new perturbation of temperature of this type happens, temperatures within the system will change in time toward a new equilibrium with the new conditions, provided that these do not change.

When the magnetic-field perturbation significantly exceeds the spin-orbit interaction, one can safely assume.

When very close to threshold, the smallest perturbation is able to cause huge swings in the output laser power.

When thinking about orbitals, we are often given an orbital vision which ( even if it is not spelled out ) is heavily influenced by this Hartree – Fock approximation, which is one way to reduce the complexities of molecular orbital theory.

When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.

When applied to the simplest two-electron molecule, H < sub > 2 </ sub >, valence bond theory, even at the simplest Heitler-London approach, gives a much closer approximation to the bond energy, and it provides a much more accurate representation of the behavior of the electrons as chemical bonds are formed and broken.

When, in the 1970s and 1980s, Jürgen Habermas redefined critical social theory as a theory of communication, i. e. communicative competence and communicative rationality on the one hand, distorted communication on the other, the two versions of critical theory began to overlap or intertwine to a much greater degree than before.

When describing graviton interactions, the classical theory ( i. e., the tree diagrams ) and semiclassical corrections ( one-loop diagrams ) behave normally, but Feynman diagrams with two ( or more ) loops lead to ultraviolet divergences ; that is, infinite results that cannot be removed because the quantized general relativity is not renormalizable, unlike quantum electrodynamics.

When Charles Darwin proposed his theory of evolution in 1859, one of its major problems was the lack of an underlying mechanism for heredity.

When speaking in terms of a labor theory of value, value, without any qualifying adjective should theoretically refer to the amount of labor necessary to the production of a marketable commodity, including the labor necessary to the development of any real capital employed in the production.

Following World War II, a nationwide movement pressed to return to pre-war society as quickly as possible in the U. S. When combined with the increasing national paranoia about communism and psychoanalytic theory that had become pervasive in medical knowledge, homosexuality became an undesired characteristic of employees working for the U. S. government in 1950.

When Mendel's theories were integrated with the chromosome theory of inheritance by Thomas Hunt Morgan in 1915, they became the core of classical genetics.

When Edward Witten named M-theory, he did not specify what the M stood for — perhaps because the nascent theory was not fully defined.

When k points are blown-up, the del Pezzo surface describes M-theory on a k-torus, and the exceptional del Pezzo surface, namely P < sup > 1 </ sup >( C ) × P < sup > 1 </ sup >( C ), is connected with type IIB string theory in 10 dimensions.

When either randomness or uncertainty modeled by probability theory is attributed to such errors, they are " errors " in the sense in which that term is used in statistics ; see errors and residuals in statistics.

When studying axiomatic probability theory, many deep consequences follow from merely these three axioms.

When significant evolutionary change occurs, the theory proposes that it is generally restricted to rare and geologically rapid events of branching speciation called cladogenesis.

When Eldredge and Gould published their 1972 paper, allopatric speciation was considered the " standard " theory of speciation.

When a statistical procedure has been specified in the study protocol, then statistical theory provides well-defined probability statements for the method when applied to all populations that could have arisen from the randomization used to generate the data.

When first published, relativity superseded a 200-year-old theory of mechanics stated by Isaac Newton.

When an old theory and a new one are parallel in this way, we can conclude that we are describing the same reality, only more completely.

When not actively performing The Wizard busies himself checking the validity of his cosmology or " theory of everything " which includes elements found in such thinkers as the philosopher Whitehead, the sociologist Parsons, the physicist Prigogine, the systems analyst Jantsch and the biologist Sheldrake.

When a surface is illuminated by a light wave, according to diffraction theory, each point on an illuminated surface acts as a source of secondary spherical waves.

When the technology to perform direct measurements with a pressure probe was developed, there was initially some controversy about whether the classic theory was correct, because some workers were unable to demonstrate negative pressures.

# When theory is based on analogy between explained and unexplained observations, " generally only a limited aspect of the familiar phenomena is incorporated into ( the ) explanatory model ".

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.