# nonlinear In A Sentence

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• It is shown that the attenuation coefficient will decrease obviously with the increase of Mach number, and the nonlinear acoustic resistance and acoustic mass will reduce slightly.
• A nonlinear relationship was observed between coronary heart and stroke mortality with the two hour postprandial blood glucose.
• Firstly, the solvability of above-mentioned boundary value problem for linear equations is proved by using the method of parameter extension, and then this result is extended to nonlinear equations.
• The motion of the blade is investigated by the numerical solution of a complex nonlinear initial value problem.
• Mathematical algorithm in nerval network can change the input and output of a sample into nonlinear optimal algorithm.
• Seemingly, we will choose not to act until some big time nonlinear effect kicks in.
• Generally, the PID technology is used in motor control system, it possesses simple structure, reliable and steady characteristics, but it is not used in denaturalization and nonlinear cases.
• In particular, the method can be used to solve both linear and nonlinear semidefinite complementarity problems.
• The optimal control law consists of an accurate linear feedback term and a nonlinear delay compensation term that is the limit of an adjoint vector sequence.
• It brings back a nonlinear approach to the series.
• In this paper the describing function of single-valued symmetric nonlinear characteristics is analysed and simplify methods (Lemma 1. Lemma 2. Theorem 1)Dcaculating description function are proved.
• Several years later with Hermann, he gave the definitive treatment of controllability and observability for nonlinear systems.
• Based on geometrical nonlinear finite element theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.
• The neural network has a good nonlinear function approximation capability, which can be used in NC machine error identification.
• Great style and nonlinear story telling.
• As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations ( linearization ).
• This method also can be used to find new solitary wave solutions to other nonlinear evolution equations.
• The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
• The plasma wave nonlinear effect of IonChannel Electron Cyclotron Maser ( ICECM ) is investigated.
• The theory describes the temporal nonlinear evolution of the field amplitude and frequency shift of a single wave mode.
• In this sense for a nonlinear process the on-line identification is necessary and corresponding to a quasi-linearization or a sequential linearization procedure of process.
• Finally, the MAPLE symbolic program for calculating the third order normal form is given. The concrete normal form of six dimensional nonlinear systems is obtained.
• Another effect of the ear's nonlinear response is that sounds that are close in frequency produce phantom beat notes, or intermodulation distortion products.
• Properties of nonlinear feedback shift registers can also be deduced from certain properties of the feedback function in ANF.
• From the point of view of molecular engineering and materials engineering, the application of organic pyridinium salts for nonlinear optics (NLO) was introduced in this paper.
• Some nonlinear integral inequalities are established , which generalizes certain Bellman _ Bihari type inequalities.
• Note : Any nonlinear electronic block driven by two signals with frequencies f 1 and f 2 would generate intermodulation ( mixing ) products.
• The phase error generated by bandwidth is proportional to the nonlinear crystal length and the beams intersect angle.
• Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed.
• This article also analyses the change of loop configuration and fabric quality in using nonlinear c...
• Nonlinear predictive functional control (NPFC) based on SVM and PFC for doubly-fed induction generator are proposed for the first time.
• I play slots in many of the nonlinear casinos.
• The algorithm is the ideal one which makes it possible to use computer-aided analysis and which applies well to the analysis of weakly and moderately nonlinear oscillating circuit.
• I love playing regular ludo nonlinear.
• A new method is proposed to identify the parameters of a nonlinear resistive circuit by making use of the nonlinearity of circuits and by the substitution theorem.
• The nonlinear two-photon absorption of Nd ions in Nd-doped laser glasses was studied with single picosecond laser pulses from a mode-locked Nd glass laser.
• A sampling function structural controller with nonlinear convergence is used to control the ionic beam that its initial condition follows Kapchinskij-Vladimiskij(K-V) distribution.
• Nonlinear systems demonstrate bifurcations.
• Scaling law of structure function in GOY model is analyzed in this paper. It is point out that the fluctuation of structure function lead to nonlinear scaling law.
• Based on the nonlinear large-signal scattering functions theory, a novel method to linearize the scattering functions is studied.
• Nonlinear science is a foundational discipline which concerns the common properties of nonlinear phenomena. Particularly, Chaos theory is one of important subdiscipline of nonlinear science.
• A generalization of Linear Active Discriminant Functions named as nonlinear Active Discriminant Functions (nonlinear ADF) to deal with nonlinear deformations of handwritten character is proposed.
• The nonlinear characteristic of thermistor results low accuracy in temperature measurement.
• We mainly consider nonlinear elliptic boundary value problem ( BVP ) in this thesis.
• As mentioned earlier, treatment benefits are nonlinear.
• You can also get nonlinear to use it too.
• Because'time'is treated as a qualitative factor in the ANOVA decomposition preceding ASCA, a nonlinear multivariate time trajectory can be modeled.
• Aluminum reduction cell is a nonlinear, multi-coupled, time varying delay system of industrial process.
• The story is told in a nonlinear fashion by an Immerser named Avice.
• Oscillatory system can be broadly characterized as linear or nonlinear.
• These systems will be nonlinear and will couple the structure to the flow field-thus, design tools must evolve to model these nonlinearities.
• Nonlinear time - delay systems usually appear in the industrial process, but are difficult to be controlled.
• Afterwards the results are analyzed through nonlinear regression in order to get the function between the amount of dust particles and time of vibration and vibration frequency.
• The measurement equation is linear in polar coordinates but is nonlinear in cartesian coordinates.
• In this paper, the anti - windup design problems for nonlinear system such as - link flexible arms are studied.
• Nonlinear pvp is the only thing keeping this from 6 stars.
• Effectiveness is introduced as a function object. By nonlinear map ability of neural network, all state information is used to build a logical decision standard.
• Linear and nonlinear error models for Inertial Navigation System( INS ) initial alignment are established.
• An algorithm is derived. Simulations show that the method is an effective one for recursive estimation of MU nonlinear systems.
• [B3 ] " " Lyapunov-Schmidt Methods in nonlinear Analysis and Applications " ", Nikolay Sidorov, Boris Loginov, Aleksandr Sinitsyn, and Michail Falaleev, Kluwer Academic Publishers, 2002.
• Second theorem shows that the existence of solution is possible under suitable conditions when the limit of growth of nonlinear term at infinity is an unbounded function.
• Kurzweil points out that Moore's law is a highly nonlinear process.
• In 1960s, he worked on the nonlinear Lagrangian, and produced results of relevance to Quantum Chromodynamics.
• First, the paper diagnoses the spatial planning problem in GIS environment as an nonlinear unstructured problem.
• Self - focusing and self - defocusing intensity dependence of the index of the nonlinear medium.
• In practice, system state is always characterized by nonlinear, non Gaussian and incompletely observed.
• The paraffin oil level control system forming machine is a nonlinear, ime - variant and coupling system.
• By means of dual variation method and deviation method, this paper gives one kind of four order nonlinear differential equation and sufficient conditions for some kind of solutions.
• The nonlinear drift-wave equation driven by a sinusoidal wave is discussed in a coordinate system moving in the driving phase speed.
• Hopfield would use a nonlinear activation function, instead of using a linear function.
• Using Lagrangian mechanics, it may be shown that the motion of a pendulum can be described by the dimensionless nonlinear equation.
• Traditional equalizer is the linear transversal equalizer(LTE) which has poor performance when the communication channel has nonlinear characteristics.
• An erbium-doped fiber nonlinear coupler(EDFNC) , in which the coupling parameters could be controlled by the light were firstly proposed.
• In this paper, several common fixed theorems for nonlinear, contraction mapping are proved on probabilistic metric spaces.
• The calculated results indicate that molecule 1 has higher second-order nonlinear optical polarizability.
• One is a bridge neutralization technique for a push-pull PA, mainly dealing with the feedback of nonlinear base-collector capacitance.
• The qualitative theory of ordinary differential equations and numerical simulation method were employed to investigate the kink waves of a nonlinear quartic wave equation.
• So , memory effects of nonlinear PA model are considered in system-level simulation.
• The internal forces in tensile membrane structures were analyzed using geometrical nonlinear finite element theory using curved quadrilateral isoperimetric 8 node elements.
• Nonlinear dimensionality reduction techniques tend to be more computationally demanding than PCA.
• It must need nonlinear method to reflect essence of the time series veritably.
• In chapter four, we consider a more general form of generalized nonlinear variational inclusions and prove the existence of solutions for these variational inclusions in H-space.
• The nonlinear theory of gyromonotron with weakly irregular profile open cavity is studied in this Paper.
• I had to use nonlinear walkthrough a few times because I got stuck.
• The results show that the present NWT can simulate the propagation of a solitary wave and nonlinear periodic waves over gentle beaches efficiently with good stability.
• Electron motion in the EECRM being analysed, the nonlinear pendulum equation of electron-wave interaction is derived and then solved by second-order perturbation.
• The game is divided into four relatively nonlinear " rounds ".
• But the OFDM signal has a large PAPR, which results in the significant nonlinear distortion when it passes through a HPA (high power amplifier), thereby the performances of the system descend.
• Because of the nonlinear and noncontinuous activity of Lotus Domino, we normally would expect to get worse total throughput.
• Many industrial control objects have certain nonlinear parts. Conventional method can't satisfy the control requirements.
• Higher-order cnoidal wave theories remain valid for shorter and more nonlinear waves.
• In intelligent windscreen wiper system of automobile, many nonlinear factors influence synchronization of windscreen wiper.
• The nonlinear property and incompressibility of rubber materials and the convergence of crack singular elements are considered in this model.
• The most of biological soft tissues obey nonlinear hyperelastic law.
• Common model control (CMC) is an effective nonlinear control method, but its application condition requests explicit solution for the first order differential model of the process.
• The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.
• Nonlinear Schrodinger equation is a problem, use split - step Fourier method for solving nonlinear Schr ? dinger equation.
• There exists a particular class of nonlinear PDEs called integrable.
• With quantitative nonlinear model of definite quantity and definite quality combination, a method for quality evaluation of arbitrary stand and choosing afforestation stand was put forward.
• Nonlinear equations and functions are of interest to physicists and mathematicians because they can be used to represent many natural phenomena, including chaos.

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