For example, in optics two or more coherent lightwaves may interact and by constructive or destructive interference yield a resultant irradiance deviating from the sum of the component irradiances of the individual lightwaves.

For Wittgenstein, there is no single, coherent " sample " or " object " that we can call " meaning ".

For an electromagnetic wave, the coherence time is the time over which a propagating wave ( especially a laser or maser beam ) may be considered coherent.

For example, in a coherent system the units of force, energy and power are chosen so that the equations

For composers, the sonata form is like the plot of a play or movie script, describing when the crucial plot points are, and the kinds of material that should be used to connect them into a coherent and orderly whole.

For Frye, this kind of coherent, critical integrity involves claiming a body of knowledge for criticism that, while independent of literature, is yet constrained by it: " If criticism exists ," he declares, " it must be an examination of literature in terms of a conceptual framework derivable from an inductive survey of the literary field " itself ( Anatomy 7 ).

For example, the collisional effects and the motional Doppler shifts can act in a coherent manner, resulting under some conditions even in a collisional narrowing, known as the Dicke effect.

For example, although far-field thermal radiation at distances from surfaces of more than one wavelength is generally not coherent to any extent, near-field thermal radiation ( i. e., radiation at distances of a fraction of various radiation wavelengths ) may exhibit a degree of both temporal and spatial coherence.

For instance, the laser, superconductivity, and superfluidity are examples of highly coherent quantum systems, whose effects are evident at the macroscopic scale.

For high altitude nuclear explosions, these electrons are captured in the Earth's magnetic field at altitudes between twenty and forty kilometers where they interact with the Earth's magnetic field to produce a coherent electromagnetic pulse ( EMP ) which lasts about one millisecond.

For a coherentist, reality is exactly the entire coherent system.

For instance, a coherent state describes the oscillating motion of the particle in a quadratic potential well ( for an early reference, see e. g.

For that reason, the coherent states associated to the quantum harmonic oscillator are usually called

For the " Democratic Faction ", the party that propagated cultural Zionism ( founded in 1901 by Chaim Weizmann ), he served in the words of his biographer, Steve Zipperstein, " as a symbol for the movement's culturalists, the faction's most coherent totem.

For a curve C the coherent groups H < sup > i </ sup > vanish for i > 1 ; but H < sup > 1 </ sup > does enter implicitly.

For related reasons, terahertz radiation also represents the region in which the generation and modulation of coherent electromagnetic signals ceases to be possible by the conventional means used to generate most coherent radiowaves and microwaves, and requires new devices and techniques, many of which are novel.

For a given numerical aperture ( NA ), the resolution of microscopy for flat objects under coherent illumination can be improved using interferometric microscopy.

In 1999 he was awarded the Balzan Prize for Philosophy " For his capacity in bringing together all the most important themes and indications of 20th century philosophy, and re-elaborating them into an original synthesis which turns language-in particular, that which is poetic and metaphoric-into a chosen place revealing a reality that we cannot manipulate, but interpret in diverse ways, and yet all coherent.

For no coherent biological reason, the Gedds evolved with webbed toes and two legs, one leg significantly shorter than the other, restricting them to an inefficient limp.

For instance, upon hearing an utterance such as " I drink a glass of wine every night before I go to sleep " is coherent when made by a speaker identified as an adult, but registers a small semantic anomaly when made by a speaker identified as a child.

) For a proper morphism in the sense of scheme theory, it was shown that this functor sends coherent sheaves to coherent sheaves.

For that major change in approach, the light used had to be both monochromatic and coherent, properties that were already a requirement on the radar radiation.

For a family of C-sets ( i. e., F ⊆ ℘( C )), the dual of F, written F < sup >⊥</ sup >, is defined as the set of all C-sets S such that for every T ∈ F, S ⊥ T. A coherent space F over C is a family C-sets for which F = ( F < sup >⊥</ sup >) < sup >⊥</ sup >.

For example, an electron in the state is in a quantum superposition of the states and.

For example, in the 19th century, the Sun appeared to be no more than 20 million years old, but the Earth appeared to be no less than 300 million years ( resolved by the discovery of nuclear fusion and radioactivity, and the theory of quantum mechanics ); or current attempts to resolve theoretical differences between quantum mechanics and general relativity.

For example, quantum mechanics and solid state physics might be relevant to an engineer working on VLSI ( the design of integrated circuits ), but are largely irrelevant to engineers working with macroscopic electrical systems.

For example, in quantum field theory " locality " means that quantum fields at different points of space do not interact with one another.

For instance, when measuring the position of an electron, one imagines shining a light on it, thus disturbing the electron and producing the quantum mechanical uncertainties in its position.

For example, as the only neutral atom with an analytic solution to the Schrödinger equation, the study of the energetics and bonding of the hydrogen atom played a key role in the development of quantum mechanics.

For example, at very high temperature and high pressure, unless there are sufficiently many flavors of quarks, the theory of quantum chromodynamics ( QCD ) predicts that quarks and gluons will no longer be confined within hadrons < i > because the strength of the strong interaction diminishes with energy .</ i > This property, which is known as asymptotic freedom, has been experimentally confirmed in the energy range between 1 GeV ( gigaelectronvolt ) and 1 TeV ( teraelectronvolt ).

For all pictures the magnetic quantum number m has been set to 0, and the cross-sectional plane is the xz-plane ( z is the vertical axis ).

For example, every electron is the same and in quantum mechanics, one can not keep track of an individual electron precisely.

For a quantum computer, however, Peter Shor discovered an algorithm in 1994 that solves it in polynomial time.

For example, the founder of quantum field theory, Paul Dirac, stated in 1951 in an article in Nature, titled " Is there an Aether?

For atomic and subatomic particles, Newton ’ s laws were superseded by quantum theory.

For instance, the motion of a spacecraft, regarding its orbit and attitude ( rotation ), is described by the relativistic theory of classical mechanics, while the analogous movements of an atomic nucleus are described by quantum mechanics.

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 quantum mechanics, this translates into the need to study the so-called classical limit of quantum mechanics.

For example, we cannot create backup copies of a state in the middle of a quantum computation, and use them to correct subsequent errors.

For example, in classical mechanics, the derivative is used ubiquitously, and in quantum mechanics, observables are represented by linear operators.

For example, Albert Einstein's revolutionary " Annus Mirabilis " papers in the 1905 issue of Annalen der Physik were not peer-reviewed by anyone other than the journal's editor-in-chief, Max Planck ( the father of quantum theory ), and its co-editor, Wilhelm Wien.

For example, no two electrons in a single atom can have the same four quantum numbers ; if n, l, and m < sub > l </ sub > are the same, m < sub > s </ sub > must be different such that the electrons have opposite spins, and so on.

For this purpose he introduced a new two-valued quantum number, identified by Samuel Goudsmit and George Uhlenbeck as electron spin.

For details, see the article on measurement in quantum mechanics.

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.