查询词典 piecewise linear function

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

The preface gave the definition and introduced history, background of development and significance of generalized inverse matrix. The first chapter, from the development process of generalized inverse, discussed all kinds of definition of generalized inverse determined by the Moore - Penrose equations. The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第一章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第二章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第三章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

The results show that the ground state structures of CB(superscript -)(n=1~6) clusters are linear as C clusters due to their isoelectrons. For CB (n=1~6) clusters, the ground state structure of C2B is asymmetric triangle and C6B is C(subscript 2v) symmetry planar monocycle, while the other clusters are linear.

结果表明CB(n=1~6)团簇的基态构型均为线形，这与等电子的C簇合物的结构是一致的；CB(n=1~6)团簇的基态构型中，除C2B为不对称的三角形，C6B为具有C(下标 2v)对称性的环状结构外，其余均为线形结构。

In this paper,we discuss the existence of solutions of asymptotically linear 2p-order Hamiltonian systems with the help of Morse index theory for associated linear Hamiltonian systems .

本文主要利用指标分类理论讨论了渐近线性2p-阶Hamiltonian系统的解的存在性。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分，我们运用上面的抽象结果，以及大范围Morse理论和其他临界点理论，研究一些半线性椭圆共振问题的多重解的存在性，以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

Research on linear predictive control has become mature and linear MPC has gained wide applications in industrial processes.

基于线性模型的预测控制研究已经相当成熟并得到了广泛的工业应用。

Topics covered by this course are:(1) Simple linear regression,(2) Inference based on fitted regression model,(3) prediction based on fitted regression model,(4) Application of simple linear regression,(5) Verification of regression assumption,(6) Multiple regression,(7) Qualitative independent variables,(8) Multicollinearity, and (9) Stepwise regression.

课程内容包含：（1）简单线性回归；（2）回归模式适合性的推论；（3）利用回归模式的预测；（4）线性回归的应用；（5）回归模式假设条件的检定；（6）复回归模式；（7）质量性独立变数的处置；（8）共线性的探测；与（9）逐步回归分析法。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

After discussing the non-linear characteristic of the investment risk series, the thesis investigates several forecasting methods for non-linear risk series including AR model, ARCH model and neural network model.

本文在探讨了证券投资风险时间序列非线性特征的基础上，研究了包括AR模型，ARCH方差补偿型预测模型和神经网络预测模型在内的各种非线性风险预测方法以及组合预测方法。

We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.

我们刻画了有限vN代数上完全迹秩不增的线性映射；也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。

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。