* the width of the range of some other phenomenon ( e. g., a reflection, the phase matching of a nonlinear process, or some resonance )

One can interpret this nonlinear optical interaction as being analogous to a real-time holographic process.

TNT HD is criticized for its practice of airing a significant amount of 4: 3 standard definition content stretched to 16: 9 through a nonlinear process similar to the " panorama " setting on many HDTVs that some viewers have nicknamed Stretch-o-Vision ; though other simulcasted HD cable channels have also fallen into this practice, TNT is usually cited since it was one of the first channels with an HD simulcast.

This uses a nonlinear optical process, the optical Kerr effect, which results in high-intensity light being focussed differently than low-intensity light.

* Cybernetica advanced process control, specializing in nonlinear model predicitive control

The nonlinear response to illumination caused by the quenching process in which adding more light causes the image to become less bright generates sub-diffraction limited information about the location of dye molecules, allowing resolution far beyond the diffraction limit provided high illumination intensities are used.

The process seems to be similar to waves of light, sound or water that pass directly through each other ; the detailed mechanism is, however, very different, being nonlinear.

The process of nonlinear video editing and digital recording allowed for much easier and less expensive editing of mass amounts of video, making reality television more viable than it had been in previous decades.

Light bounces exactly back in the direction from which it came due to a nonlinear optical process.

* Process control: model predictive control, controllability measures, robust control, nonlinear control, statistical process control, process monitoring, thermodynamics-based control

* Supporting tools: sequential modular simulation, equation based process simulation, AI / expert systems, large-scale nonlinear programming ( NLP ), optimization of differential algebraic equations ( DAEs ), mixed-integer nonlinear programming ( MINLP ), global optimization

Kerr-lens modelocking ( KLM ) is a method of modelocking lasers via a nonlinear optical process known as the optical Kerr effect.

The optical Kerr effect is a process which results from the nonlinear response of an optical medium to the electric field of an electromagnetic wave.

Other principles involve different nonlinear effects like saturable absorbers and saturable Bragg reflectors, which induce pulses short enough to initiate the Kerr-lensing process.

In mathematics, nonlinear programming ( NLP ) is the process of solving a system of equalities and inequalities, collectively termed constraints, over a set of unknown real variables, along with an objective function to be maximized or minimized, where some of the constraints or the objective function are nonlinear.

The process is nonlinear and multifaceted, so an interruption by light merely starts the adaptation process over again.

The process can be controlled with nonlinear MPC that uses a nonlinear model directly in the control application.

In the following examples, the autocorrelation signal is generated by the nonlinear process of second-harmonic generation ( SHG ).

The generation of the second harmonic in crystals is a nonlinear process that requires high peak power, unlike the previous setup.

More generally, nonlinear compositing can have effects such as " halos " around composited objects, because the influence of the alpha channel is non-linear.

He identifies nonlinear texts as objects of verbal communication in which the words or sequence of words may differ from reading to reading.

At Analog Devices, Barrie started the company ’ s Northwest Labs design center in Oregon where he continues to work on RF products crafted with high-speed nonlinear circuit techniques.

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

A reference signal of a known frequency near the unknown frequency is mixed with the unknown frequency in a nonlinear mixing device such as a diode.

Hayek points out that much of science involves the explanation of complex multivariable and nonlinear phenomena, and the social science of economics and undesigned order compares favourably with such complex sciences as Darwinian biology.

For molecules with N atoms in them, linear molecules have 3N – 5 degrees of vibrational modes, whereas nonlinear molecules have 3N – 6 degrees of vibrational modes ( also called vibrational degrees of freedom ).

This effect is called ion channelling, and, like all the channelling effects, is highly nonlinear, with small variations from perfect orientation resulting in extreme differences in implantation depth.

It is also concerned with the physics of laser beam propagation, particularly the physics of Gaussian beams, with laser applications, and with associated fields such as nonlinear optics and quantum optics.

Dynamic programming has been coupled with ANNs ( Neuro dynamic programming ) by Bertsekas and Tsitsiklis and applied to multi-dimensional nonlinear problems such as those involved in vehicle routing or natural resources management because of the ability of ANNs to mitigate losses of accuracy even when reducing the discretization grid density for numerically approximating the solution of the original control problems.

is an interaction in which the quantum state of the nonlinear material is not changed by the interaction with the optical field.

If the pump waves and the signal wave are superimposed in a medium with a non-zero χ < sup >( 3 )</ sup >, this produces a nonlinear polarization field:

* Encyclopedia of laser physics and technology, with content on nonlinear optics, by Rüdiger Paschotta

In the early 1990s, he began his career as an independent filmmaker with films employing nonlinear storylines and the aestheticization of violence.

Large-amplitude ocean waves with certain shapes can propagate unchanged, because of properties of the nonlinear surface-wave medium.

Because a wormhole time-machine introduces a type of nonlinearity into quantum theory, this sort of communication between parallel universes is consistent with Joseph Polchinski ’ s discovery of an “ Everett phone ” in Steven Weinberg ’ s formulation of nonlinear quantum mechanics.

Generally a nonlinear optical material ( organic polymers have the fastest response rates, and thus are best for this application ) with an incident static or low frequency optical field will see a modulation of its refractive index.

In the case of a lumped Raman amplifier highly nonlinear fiber with a small core is utilised to increase the interaction between signal and pump wavelengths and thereby reduce the length of fiber required.

The results of reflection from a magneto-optic material are known as the magneto-optic Kerr effect ( not to be confused with the nonlinear Kerr effect ).

The purpose of CNLS is to continue the laboratory's tradition of work in nonlinear science, which began with FPU, but which also includes Mitchell Feigenbaum's important work in chaos and fractals ( 1975 ).

Examples include a solid body with a cavity filled with an inviscid, incompressible, homogeneous liquid, the static equilibrium configuration of a stressed elastic rod in elastica theory, the polarization dynamics of a light pulse propagating through a nonlinear medium, the Lorenz system in chaos theory, and the motion of an ion in a Penning trap mass spectrometer.

The nonlinear nature of ferroelectric materials can be used to make capacitors with tunable capacitance.

When a barometer is supplied with a nonlinear calibration so as to indicate altitude, the instrument is called a pressure altimeter or barometric altimeter.

Phenytoin kinetics are nonlinear and saturable, resulting in highly variable concentrations even with minor dosage changes.

Regardless of what kind of fluid is being dealt with, convective acceleration is a nonlinear effect.