查询词典 piecewise linear function

The feedback controls, including linear, speed, doubly-periodic function, hyperbolic function and trigonometric function are used to suppress chaos to one of the three unstable equilibrium. The Routh-Hurwtiz theorem is applied to derive the conditions of stability of the controlled system.

利用反馈控制方法，包括线性、速度、双周期函数、双曲函数和三角函数反馈控制方法将系统的混沌运动控制到稳定态，根据Routh-Huriwtz准则获得了系统达到控制目标时反馈系数所满足的条件。

Trigonometrical function reflects Yuan Movement and the Movement of mutual conversion and the corresponding linear relationship is the only primary function of the cycle function.

三角函数反映了圆运动和直线运动的相互转化与对应关系，是初等函数中唯一的周期函数。

That is by introducing the switch function, the linear dynamical part is separated by a simple algebraic operation, then a new linear model can be achieved.

即通过引入开关函数，将线性动态部分分离处理，辨识得到新的线性模型。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

In chapter 3, the linear approximate method of Bessel function for measuring nanometer vibration is studied. The error of linear approximate is analyzed and the theoretical measurement range of this method is given.

在此基础上，首次提出了一种双光路DSPI振动测量系统，利用退敏感光路使贝塞尔函数线性近似法的测量范围扩大了24倍，由近50nm增至1150nm。

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论，假设似然函数服从高斯分布，并使待反演的参数服从于改进的Cauchy分布，从而提高了反演结果的分辨率；其次用协方差矩阵来描述参数间的相关程度，进一步提高了反演结果的稳定性；最后将问题转化为一个非线性二次规划的求解问题，并在多种约束下得到问题的解。

Under quadratic loss function, the definition of conditional admissible prediction is given and some necessary and sufficient conditions for linear predictions Ly_s of conditional linear predictable variable Qy to be admissible are obtained.

在二次损失函数下，给出了条件可容许预测的定义，在齐次线性预测类和非齐次线性预测类中得到了条件线性可预测变量Qy的线性预测Ly_s是可容许预测的充要条件。

To use linear program, we have to take care of two problems. The first problem is that the actual relationship between intensity and duration is nonlinear convex function. In this study, we propose to use piece-wise linear curve to approximate the nonlinear convex curve. The second problem is that there are many feasible event sequences.

使用线性规划遭遇的困难有二：第一，作业强度与作业时间呈非线性之凸函数关系，因此本研究将使用片段线性曲线(piece-wise linear curve)近似作业强度与作业时间呈非线性之凸函数关系；第二，专案有很多组可能事件顺序，事件顺序的不同会产生不同的资源限制式，本研究提出一个系统化的方法求解问题。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。