# nonlinear In A Sentence

Learn how to use **nonlinear in a sentence** and make better **sentences with `nonlinear`** by reading **nonlinear sentence examples**.

- 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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