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The lack of reflections in a free field means that any sound in the field is entirely determined by a listener or microphone because it is received through the direct sound of the sound source. This makes the open field a direct sound field. [3] In a free field, sound is attenuated with increased distance according to the inverse-square law. [1]
In quantum field theory, an operator valued distribution is a free field if it satisfies some linear partial differential equations such that the corresponding case of the same linear PDEs for a classical field (i.e. not an operator) would be the Euler–Lagrange equation for some quadratic Lagrangian.
"Olly olly oxen free" is a catchphrase or truce term used in children's games such as hide and seek, capture the flag, and kick the can to indicate that players who are hiding can come out into the open without losing the game or that the position of the sides in a game has changed [1] (as in which side is on the field or which side is at bat or "up" in baseball or kickball); alternatively ...
In quantum theory however there is always an "external" field, namely the source-free or vacuum field E 0 (t). According to our earlier equation for a k λ ( t ) the free field is the only field in existence at t = 0 as the time at which the interaction between the dipole and the field is "switched on".
In probability theory and statistical mechanics, the Gaussian free field (GFF) is a Gaussian random field, a central model of random surfaces (random height functions). The discrete version can be defined on any graph, usually a lattice in d-dimensional Euclidean space. The continuum version is defined on R d or on a bounded subdomain of R d.
The magnetic field in the Sun's corona is often approximated as a force-free field. In plasma physics, a force-free magnetic field is a magnetic field in which the Lorentz force is equal to zero and the magnetic pressure greatly exceeds the plasma pressure such that non-magnetic forces can be neglected. For a force-free field, the electric ...
Enjoy a classic game of Hearts and watch out for the Queen of Spades!
In hydrodynamics, the free surface is defined mathematically by the free-surface condition, [11] that is, the material derivative on the pressure is zero: = In fluid dynamics , a free-surface vortex , also known as a potential vortex or whirlpool, forms in an irrotational flow, [ 12 ] for example when a bathtub is drained.