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Non-linear and .
Non-linear self-regenerative heterodyning systems can be approximated.
Two standards were developed: Non-linear NIR, in which a process analogous to gamma correction is used, and Linear NIR or SECAM IV that omits this process.
Non-linear loads, such as rectifiers, distort the current drawn from the system.
Non-linear loads change the shape of the current waveform from a sine wave to some other form.
Non-linear loads create harmonic currents in addition to the original ( fundamental frequency ) AC current.
** English translation: Non-linear Wave Mechanics: A Causal Interpretation.
Non-linear editing is the most natural approach when all assets are available as files on video servers or hard disks rather than recordings on reels or tapes, while linear editing is related to the need to sequentially view a film or read a tape to edit it.
Non-linear editing enables direct access to any video frame in a digital video clip, without needing to play or scrub / shuttle through adjacent footage to reach it, as was necessary with historical video tape linear editing systems.
Non-linear editing with computers as we know it today was first introduced by Editing Machines Corp. in 1989 with the EMC2 editor, a hard disk-based non-linear off-line editing system, using half-screen-resolution video at 15 frames per second.
* Linear vs. Non-linear editing
* Steven Strogatz, " Non-linear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engineering ", Perseus Books, 2000.
Non-linear multi-variate functions may be minimized over their parameters using variants of Newton's method called quasi-Newton methods.
A Non-linear editing system ( NLE ) product would be added later, with the invention of the Video Toaster Flyer, though the product never really worked to professional standards because it could not consistently play video without jitters.
Non-linear materials include rubber and soils, except under very small strains.
Non-linear editing is not inherent to every hard-disk recording system, however.
Non-linear methods can be broadly classified into two groups: those that provide a mapping ( either from the high dimensional space to the low dimensional embedding or vice versa ), and those that just give a visualisation.
* Hartley, R. V. L., " Oscillations with Non-linear Reactances ".
Non-linear dependence of the level of a series on previous data points is of interest, partly because of the possibility of producing a chaotic time series.
* Non-linear storytelling -- The film begins with a provocative situation and then goes back in time to show how the situation came to occur.
Non-linear objectives and constraints could also be incorporated if needed.
Non-linear behaviours emerge such as turbulence, eddies and relatively quiet regions.
* Curve fitting like Non-linear least squares analysis and other generalizations, used in fitting model parameters to experimental data in chemistry, physics, medicine, astronomy, engineering.

viscoelasticity and .
-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.
By strengthening the differentiability assumption, it has been possible to derive second and higher order theories of viscoelasticity.
The smooth muscle component does not dramatically alter the diameter of the aorta but rather serves to increase the stiffness and viscoelasticity of the aortic wall when activated.
Fundamentally, the viscoelasticity can be related to the motions of flexible polymer molecules and their entanglements and network junctions — the molecular basis of viscoelasticity.
These fibers with their extracellular matrices contribute to the viscoelasticity of these tissues.
Activation of aortic smooth muscle doesn't significantly alter the lumenal diameter but serves to increase the viscoelasticity of the vascular wall.
Below a critical value of applied stress, a material may exhibit linear viscoelasticity.
Specifically, viscoelasticity is a molecular rearrangement.
Linear viscoelasticity is when the function is separable in both creep response and load.
Linear viscoelasticity is usually applicable only for small deformations.
Nonlinear viscoelasticity is when the function is not separable.
The Generalized Maxwell model also known as the Maxwell – Wiechert model ( after James Clerk Maxwell and E Wiechert ) is the most general form of the linear model for viscoelasticity.
Though there are many instruments that test the mechanical and viscoelastic response of materials, broadband viscoelastic spectroscopy ( BVS ) and resonant ultrasound spectroscopy ( RUS ) are more commonly used to test viscoelastic behavior because they can be used above and below ambient temperatures and are more specific to testing viscoelasticity.
Using BVS and RUS to study the mechanical properties of materials is important to understanding how a material exhibiting viscoelasticity will perform.
An elastomer is a polymer with viscoelasticity ( colloquially " elasticity "), generally having low Young's modulus and high yield strain compared with other materials.
Linear viscoelasticity holds.
* It is often difficult to disentangle effects of inertia and viscoelasticity.
Muscles present viscoelasticity, therefore a viscous damper may be included in the model, when the dynamics of the second-order critically damped twitch is regarded.
The term has the same Greek root as rheology, the science of viscoelasticity and nonlinear flow.
Maxwell and Kelvin-Voigt models of viscoelasticity use springs and dashpots in series and parallel circuits respectively.
When added to crude oil it increases the oil's viscoelasticity when pulled, causing the oil to resist breakup when it is vacuumed from the surface of the water.
He is credited to be the father of Burgers ' equation, the Burgers vector in dislocation theory and the Burgers material in viscoelasticity.

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