How to use nonlinear in a sentence

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Sentence Examples He also continues to cut on film, a noticeable deviation from the industry standard of nonlinear digital editing. Two-photon excitation is a nonlinear process in which a fluorophore absorbs two photons simultaneously. Second, the scale marked on the rule is nonlinear and had to be marked by hand from a master pattern. In that the transition function is smooth and continuously differentiable, standard nonlinear estimation techniques are also applicable. It is a nonlinear processor for acoustic echo canceller with background noise preservation and long echo tail suppression. Data analysis was carried out using a nonlinear, least-squares iterative convolution method based on the Marquardt algorithm. As bearing surfaces in scan mirror galvanometers age, they can become nonlinear and result in distorted spatial representations. Good agreement was obtained for all motions except roll motion, which usually showed strong nonlinear behaviour due to viscous damping. Rate equations in a simplified form are given by JONG 2002, where R is a diagonal matrix and G is a vector of nonlinear functions. There has been, for example, a sustained effort to develop polymers for nonlinear optics or the electro-optic effect. Furthermore, could we explore the idea of the body as a dynamic nonlinear hologram existing within a fractal space? These devices rely on a nonlinear process called optical parametric downconversion in a nonlinear crystal such as beta barium borate. No matter how nonlinear, there are only so many solutions to a puzzle or ways to defeat an enemy. The significance of monotonicity is that simple linear models are able to capture interaction effects and nonlinear effects amazingly well. The logarithm is only one of many nonlinear but monotonic functions that can be applied to measurements prior to analysis. In this theory a nonlinear symmetry unifies the Standard Model particles with heavy new particles. The shape of the nonlinear regression line indicates that chlorophyll synchrony between two lakes is very sensitive to differences in stratification intensity. When amplifying two signals simultaneously, any nonlinear amplifier will produce intermodulation products. The straight symbolizes the absolute way, absolute time and space, nonlinear space i.e. without personal conscience. Children of today are participators rather than spectators, nonlinear thinkers, active content users and bored to death at school. Show More Sentences When the calibration adjustment has a nonlinear form, a variant of the jackknife can remove the need for iteration in variance estimation. The proposed criterion is a simple and rational nonlinear polyaxial strength criterion for anisotropic jointed rocks. The PAM is an attempt at modelling the linear component of the highly nonlinear hydromechanics of the human cochlea. Binding to the latter protein is saturable, and the drug displays nonlinear kinetics with respect to plasma concentration and clearance. As the nonlinear coefficient increases furtherly, the influence of the coefficient on dispersion properties becomes weak. This software of pharmacokinetic is conceived for the analysis of the kinetics of fixed substances in a nonlinear way on plasmatic proteins. For nonlinear functions one can linearize the function and use the linear error propagation approximation. The nonlinear equations of motion are studied by using arclength continuation method and bifurcation analysis. The discretized nonlinear equations of motion are studied by using the arclength continuation and collocation method. Critics rediscovered Wuthering Heights, praising its complicated, nonlinear structure. Considering the high nonlinear of the laser welding process, the transition element modeling was adopted. Highly nonlinear models can convect vigorously for an interval of time and then stop, allowing the system to revert to a stable form. In this regime, the nonlinear response is augmented by the optical Stark effect, a nonlinearity that is fast because it does not involve the generation of real carriers. The dash-dot line shows waveform for the linear long wave equation, and the solid line shows waveform for nonlinear long wave equation. Both factors were added to the utility function in a nonlinear way to indicate the diminishing marginal utility. Fractal scientists and chaologists, in contrast, operate from the assumption that natural systems are necessarily nonlinear, dynamic, and disordered. Further, the necessary nonlinear implicit correction, introduced via iterations of the semi-implicit step to ensure the stability, is outlined. Surfactant causes the surface tension to change in a nonlinear way with changes in surface area. That is because a loose, fun, nonlinear atmosphere is important to the creative process. A key indicator of quality in a digital camera is how many bits are used in its nonlinear processes, such as gamma correction. Show More Sentences It is especially well-suited to finding the best overall global solution to nonlinear, complex problems where other solvers fail. The Audiovisual Media Services Directive, on the other hand, defines a system specific to linear and nonlinear audiovisual media services. Depth to the water table is an important, but nonlinear, ecological feature. Internet offers possibilities for active participation and nonlinear learning, and combines image, text and sound. Chapter 8 uses the ideas of complex nonlinear systems to help explain how a myriad of microinteractions helps govern the activities of macrostructures. The calorimetric profiles were nonlinear with increasing slope for the case when DNA was titrated into lipid solution, and the endpoint was rate dependent. Since both are nonlinear interrelated buffering systems, soil stability with regard to sorption and mobilization processes is liable to unpredictable, chaotic changes. The most difficult to modelize is the highly nonlinear character of the thermo-physical properties of water. Articles in this category consider the theory and application of copulas as well as the impact of linear and nonlinear dependencies among risks. In the future, based on the accurate data, we will totalize and estimate the effects of each factor of the collapse process of the monuments with nonlinear behavior of displacement and stresses within the monument. A nonlinear optical material, comprising: a solid solution of an organic guest compound having at least one of an electron donative group and an electron attractive group in a polyoxyalkylene matrix. The dynamical phenomena of the oscillation of mechanical components of a rail vehicle are often nonlinear and nonsteady. In the consultations, the majority view was that the distinction between linear and nonlinear services is a workable, future-oriented basis for a legal definition. This specific preoccupation with adaptation seems to be relatively recent within European policies and emerges from assessment of growing impacts of climate change provoked by events that are often nonlinear. This is itself a major source of complex and nonlinear behaviour. In cylindrical tanks, spherical tanks or other asymmetrical tank forms, nonlinear level values are generated due to the varying distance to the vessel wall. The nonlinear cubic conversion colour management system uses a unique 3D LUT to reproduce an extremely wide colour gamut, thus offering more accurate colour reproduction. The original investigation by the two researchers of the nonlinear, nonperturbative reaction of atoms and molecules to intense laser pulses resulted in the major discovery of the generation of attosecond pulses. This is a nonlinear combination of information and the worth of the information for the decision in question, dealing with the uncertainty in both forms of data. If the kernel K is a linear function in regard of u and u', we have a linear integral equation, otherwise the equation is nonlinear. Show More Sentences However, the dependence is nonlinear at extremes of low and high values of absorptivity, and signal saturation occurs at high signal levels. Feedback linearization has proved to be a tremendously useful tool in nonlinear control. Applications of the classical potential theory to the solution of the problem of the anisotropic nonlinear ellipsoidal inclusion: a new solution for internal and external points has been derived in integral form. And her nonlinear, neologizing prose style may require some indulgent effort on the part of the reader. There is a possibility of using neural networks, because of their ability of approximation of any nonlinear mathematic function. Natural communities are complex systems with multiple trophic levels and nonlinear interactions between species. Strongly nonlinear theory of nanostructure formation owing to elastic and nonelastic strains in crystalline solids. Chaos, or nonlinear dynamics, is a young science that is shedding light on an apparent inner order to seemingly random phenomena. This critical strain denotes where the nonlinear viscoelastic region begins. Classification schemes for nonoscillatory solutions of twodimensional nonlinear difference systems. The main topic was the research of non-centrosymmetric structures built with organic nonlinear optical chromophores hosted in inorganic and organic networks. An increase in either of the Froude numbers leads to a wide range of nontrivial and often nonlinear phenomena. The importance of intrinsic analysis of nonlinear phenomena has been gradually understood, and led to soliton and strange attractor concepts. Dee Hock, its founder, coined the term chaordic to refer to any complex, self-organizing, self-governing, adaptive, nonlinear system. By performing complex averaging and arclength continuations techniques, semi-analytical approximations for nonlinear steady-state response was developed. Linearised inversions involve local linearisation of such nonlinear problem. The inverse problem is nonlinear and ill-conditioned. Mr. Duda, 31, a Prague native and graduate of Charles University there, was studying geometric nonlinear functional analysis in Missouri, where he met Ms. Slattery. The observer design is based on an adapted nonlinear double track model. Blending elements of fable and picaresque fiction, it is distinctly postcolonial in its marginalization of Europe and postmodern in its nonlinear structure and thick intertextuality. Show More Sentences A new nonlinear feedback vector controller is designed to guarantee HPS, which can be simplified ulteriorly into a single scalar controller to achieve complete synchronization between two novel hyperchaotic systems. Von Neumann was an expert in the nonlinear physics of hydrodynamics and shock waves, an expertise that he had already applied to chemical explosives in the British war effort. In the last section we solve the equation for stationary simple shear and calculate the nonlinear viscosity and the viscometric functions. The present project aims at studying qualitative properties of some nonlinear Partial Differential Equations arising in fluid mechanics. The present work gives analytical solutions and graphics assigned problems method of partial discretization of nonlinear differential equation. Thus we negatively answer Morrey's conjecture in the subclass of isochoric nonlinear energies, since polyconvexity implies quasiconvexity. Problems related to the surface boundary condition are discussed and some experiments on idealized nonlinear non-hydrostatic mountain flow have been done to test the precision of the scheme. These are examples of a nonlinear response. However, both of these basic approaches to confirming models encounter serious difficulties when applied to nonlinear models, where the principle of linear superposition no longer holds. For intermediate and shallow water, the Boussinesq equations are applicable, combining frequency dispersion and nonlinear effects. However, these programs are not set up to handle more complicated, nonlinear problems where the best local solution may not be the best absolute answer. This nonlinear function is shown in the diagram and the related table. Equation 2 is a hyperboloid in which the exponent s may represent the psychophysical and nonlinear scaling of amount and time. For the optimization a regularized nonlinear conjugate gradient scheme and a cascadic multilevel strategy are used. Those relations are explicitly linear in porosity and implicitly nonlinear through the self-consistent dependence on Poisson's ratio, v, which is itself dependent on porosity. Using the cellular automaton model it is possible to describe the complex, global and coherent systems and nonlinear phenomena using simple rules. But in practice, the most of real processes have nonlinear behavior and their linearization is possibly only in a near neighborhood of an operating point. So-called logic-dynamic approach to fault diagnosis in systems described by nonlinear dynamic models with no differentiable nonlinearities was proposed in. These include nonlinear effects, such as a toxicity that initially decreases as concentration goes down but eventually increases, producing a U-shaped curve. Let us transform the problem into the nonlinear integral equation. Show More Sentences Specific case of such nonlinear system is an exothermic chemical reactor. The relationships between Fourier expansions in nonlinear systems with the orthonormal sets are obtained as characteristics functions of Sturm-Liouville systems. Researchers at NIST have developed a new technique for modeling nonlinear error data that can reduce the amount of testing that a linear model would require. They developed a fuzzy controller for acting as an interpolative supervisor of different trackers that apply in different operating conditions of dynamic nonlinear system. In an earlier work we showed computationally that it is possible to successfully employ nonlinear targeted energy transfers for seismic mitigation. The other approach may be called a phenomenological one because it formally employs the stress-strain power series relationships obtained in the weakly nonlinear case. Biological systems are highly complex and their behavior can be nonlinear. The difference about qualitative stability of nonlinear systems of equations related to its linearized forms about the equilibrium for the center singular point is emphasized. They cover fundamentals of lasers and beam polarizations, generating orthogonal laser polarizations, nonlinear behavior of orthogonally polarized lasers, and applications. As far as the processes usually are nonlinear, there are few analytical solutions and the asymptotical and numerical methods should be elaborated. The results of our researches show that by increasing the concentration of nanoparticles, the linear and nonlinear optical refractions can be increased significantly. To overcome the difficulty in controller design due to nonlinearity, the piecewise linearization technique is applied to linearise the nonlinear system. Since the response is nonlinear, piecewise linearization technique has been implemented to obtain five linearised second order transfer functions. The OM1400A-105 ADC modules incorporate Optichron's proprietary Linearizer IC, based on the company's advanced Turbolinear technology that eliminates nonlinear distortion. You've probably heard the terms linear and nonlinear bandied about lately. The strain and strain rate states are described using Green-Lagrange strain and strain rate tensors, respectively, and are nonlinear dependences without any linearisation. When the transportation cost on a given route is nonlinearly dependent on the discrete number of units transported, the TP becomes the nonlinear discrete optimization problem. Kralik stated that transitions in the chronic illness experience constitute a nonlinear process of change involving movement from extraordinariness to ordinariness. Examples from Classical Literature The new stage corresponds to distributed, non-sequential forms of human activity, nonlinear dependencies. Let us assume that each of the environmental variables is a nonlinear oscillator, as is probable. The frequency distribution of breeding activity in birds is described by a nonlinear curve. Canopus Corporation designs and markets, nonlinear video editing products for video professionals and enthusiasts. ImageX, Digital Echidna, Demac Media, nonlinear digital, Ignite Digital, Falcon-Software, Pieoneers, Coldfront Labs, Atomic Motion, and Forge and Smith. In this paper we study the run-up of bell-shaped waves on the coast of an inclined bay of parabolic cross-section in the framework of nonlinear shallow water theory. Contributions discuss on nonlinear dynamics for target recognition, exactly solvable chaos, logic in chaotic dynamics, and system identification using chaos. Find more words! 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Words that rhyme with nonlinear Use our Sentence Generator Nearby Words nonlife non-lethal nonlethal nonlegal nonleaded nonkosher non-linear nonlinearity nonlinearly nonlinguistic non-literal nonliterary 9-letter Words Starting With n no non nonl nonli nonlin nonline nonlinea