### Some articles on *initial, initial conditions, condition*:

... true for all time by the guiding equation if the

**initial**distribution of the particles satisfies ... evolution of the system, is the appropriate measure of typicality for

**initial conditions**of the positions of the particles ... They then prove that the vast majority of possible

**initial**configurations will give rise to statistics obeying the Born rule (i.e ...

... Running dynamical models of the Solar System with different

**initial conditions**for the simulated length of the history of the Solar System will produce the various populations of objects ... As the

**initial conditions**of the model are allowed to vary, each population will be more or less numerous, and will have particular orbital properties ... At the present time, computer models of the Solar System that are begun with the

**initial conditions**of the Nice scenario best match many aspects of the observed Solar System ...

... Wormholes, Time Machines, and the Weak Energy

**Condition**, which showed that a new general relativity solution known as a traversable wormhole could lead to closed timelike curves ... Later analysis by Thorne and Robert Forward showed that for certain

**initial**trajectories of the billiard ball, there could actually be an infinite number of self-consistent ... results in 1991 in addition, they reported that they had tried to see if they could find any

**initial conditions**for the billiard ball for which there were no self-consistent ...

... to work, and as pointed out by Roger Penrose from 1986 on, inflation requires extremely specific

**initial conditions**of its own, so that the problem (or pseudoproblem) of

**initial**... than after.” The problem of specific or “fine-tuned”

**initial conditions**would not have been solved it would have gotten worse ...

... Chaos theory studies the behavior of dynamical systems that are highly sensitive to

**initial conditions**, an effect which is popularly referred to as the butterfly effect ... Small differences in

**initial conditions**(such as those due to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems ... are deterministic, meaning that their future behavior is fully determined by their

**initial conditions**, with no random elements involved ...

### Famous quotes containing the words conditions and/or initial:

“If there ever are great revolutions there, they will be caused by the presence of the blacks upon American soil. That is to say, it will not be the equality of social *conditions* but rather their inequality which may give rise to it.”

—Alexis de Tocqueville (1805–1859)

“For those parents from lower-class and minority communities ... [who] have had minimal experience in negotiating dominant, external institutions or have had negative and hostile contact with social service agencies, their *initial* approaches to the school are often overwhelming and difficult. Not only does the school feel like an alien environment with incomprehensible norms and structures, but the families often do not feel entitled to make demands or force disagreements.”

—Sara Lawrence Lightfoot (20th century)