For almost one-sixth of the national population discrimination in the free selection of residence casts a considerable shadow upon these values assumed as self-evident by most Americans.

Cash often included the song when he toured prisons, saying " For the three minutes that song is going on, everybody is free.

For an adiabatic free expansion of an ideal gas, the gas is contained in an insulated container and then allowed to expand in a vacuum.

For Arthur Schopenhauer aesthetic contemplation of beauty is the most free that the pure intellect can be from the dictates of will ; here we contemplate perfection of form without any kind of worldly agenda, and thus any intrusion of utility or politics would ruin the point of the beauty.

For a century free trade was the one cause which could unite all Liberals.

For him, celibacy is the single life, free from such distraction, not a life of saintly denial.

For example, in high-energy environments such as the corona of a star, free electrons form a plasma that radiates energy due to Bremsstrahlung.

For instance, New Zealand's landmark reform in 1989, during which schools were granted substantial autonomy, funding was devolved to schools, and parents were given a free choice of which school their children would attend, led to moderate improvements in most schools.

For the first time in many years, German audiences had free access to cinema from around the world and in this period the films of Charlie Chaplin remained popular, as were melodramas from the United States.

For example, the statement " A society is free if and only if liberty is maximized and people are required to take responsibility for their actions " is true or paradoxical, depending on the individual's definition of liberty.

For example, the fundamental group of the figure eight is the free group on two letters.

For example, in the Austrian view — often shared by neoclassical and other " free market " economists — the primary factor of production is the time of the entrepreneur, which, when combined with other factors, determines the amount of output of a particular good or service.

For many fouls, such as stick infractions, a free hit is the only discipline provided.

For more complex or proprietary file formats, file viewers are usually provided by the same companies that make the editing software using those formats ( viewers may be distributed free of charge, while editors have to be bought ).

For instance, the license may be " free for private, non-commercial use ".

For example, contemporary mutualist Kevin Carson argues in favor of " free market anti-capitalism.

For example, coffeehouses often provide Internet access free of charge to attract more customers.

For the crowd, amphitheatres afforded unique opportunities for free expression and free speech ( theatralis licentia ).

For alpha particles and low energy beta particles the " end window " type of GM tube is used as these particles have a limited range even in free air and are easily stopped by a solid material.

For efficient detection of alpha particles the GM tube window should ideally be within 10mm of the radiation source due to the attenuation in free air.

For the first time in history an entire sea ( the Mediterranean ) was free of piracy.

The Finnish metal band Nightwish mentions Carter in the song " Tutankhamun " on its début album Angels Fall First: " For Carter has come / To free my beloved ".

For who are so free as the sons of the waves?

For a non-relativistic system consisting of a finite number of distinguishable particles, the component systems are the individual particles.

For instance, the well-known model of the quantum harmonic oscillator uses an explicitly non-relativistic expression for the kinetic energy of the oscillator, and is thus a quantum version of the classical harmonic oscillator.

For example, in standard non-relativistic quantum theory, the collapse of the wave-function happens globally and instantaneously, which on its face appears to violate causality ( although a closer look shows this is not true ).

For the special case of a matter wave, for example an electron wave, in the non-relativistic approximation:

* For hadrons containing two heavy quarks, an effective field theory which expands in powers of the relative velocity of the heavy quarks, called non-relativistic QCD ( NRQCD ), has been found useful, especially when used in conjunctions with lattice QCD.

For illustration, the LRL vector for a non-relativistic, isotropic harmonic oscillator can be calculated.

For non-relativistic thermal velocities, the Doppler shift in frequency will be:

For neutrinos with a non-zero rest mass, the description in terms of a temperature is no longer appropriate after they become non-relativistic ; i. e., when their thermal energy 3 / 2 kT falls below the rest mass energy mc.

For more details of this early work, see Alpha particle # History of discovery and use.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

( For one particle, J = L + S.

For example, it also predicts the variation of the particle density in a gravitational field with height, if.

For example, the probability that an alpha particle striking a beryllium target will produce a neutron can be expressed as the equivalent cross section of beryllium for this type of reaction.

For example, if we suppose at t = 0 the extension is a unit distance ( x = 1 ), and the particle is not moving ( dx / dt = 0 ).

For mathematical purposes, elementary particles are normally treated as point particles, although some particle theories such as string theory posit a physical dimension.

: For an elementary introduction to how Lie algebras are related to particle physics, see the article Particle physics and representation theory.

The red dot overtakes two green dots when moving from the left to the right of the figure. New waves seem to emerge at the back of a wave group, grow in amplitude until they are at the center of the group, and vanish at the wave group front. For surface gravity waves, the water particle velocities are much smaller than the phase velocity, in most cases.

For non-interacting particles, i. e. particles which do not interact mutually and move independently, the potential of the system is the sum of the separate potential energy for each particle, that is

For instance, if a particle is in a state | ψ ⟩, the probability of finding it in a region of volume d < sup > 3 </ sup > x surrounding some position x is

For a single particle, this quantity is the rest mass ; for a system of bound or unbound particles, this quantity is the invariant mass.

For example, in a collision of two particles a reference frame can be chosen where one particle begins at rest.

For example, one can talk about motion of a wave or a quantum particle ( or any other field ) where the configuration consists of probabilities of occupying specific positions.

For example, mā ( high level pitch ) means " mom ", má ( rising pitch ) means " hemp ", mǎ ( falling then rising ) means " horse ", mà ( falling ) means " scold ", and ma ( neutral tone ) is an interrogative particle.

For example, a single photon may be refracted by a lens or exhibit wave interference with itself, but also act as a particle giving a definite result when its position is measured.

The red dot overtakes two green dots when moving from the left to the right of the figure. New waves seem to emerge at the back of a wave group, grow in amplitude until they are at the center of the group, and vanish at the wave group front. For surface gravity waves, the water particle velocities are much smaller than the phase velocity, in most cases.

For example, the free particle in the previous example will usually have a wavefunction that is a wave packet centered around some mean position x < sub > 0 </ sub > ( neither an eigenstate of position nor of momentum ).

For example, a single electron in an unexcited atom is pictured classically as a particle moving in a circular trajectory around the atomic nucleus, whereas in quantum mechanics it is described by a static, spherically symmetric wavefunction surrounding the nucleus ( Fig.

For example, consider a free particle.

For instance, the fundamental observables associated with the motion of a single quantum mechanical particle are the position and momentum operators and.

For example, the 3-particle state with one particle in state and two in state is

For the case of light alpha particles scattering off heavy nuclei, as in the experiment performed by Rutherford, the reduced mass is essentially the mass of the alpha particle and the nucleus off of which it scatters is essentially stationary in the lab frame.

For head on collisions between alpha particles and the nucleus, all the kinetic energy of the alpha particle is turned into potential energy and the particle is at rest.