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7.1 Consistence, Convergence and Stability of Discretized Equations 7.1.1 Truncation error and consistence(相容性) 7.1.3 Round off error (舍入误差)and stability (稳定性) of initial problems(初值问题) 7.1.4 Examples 7.1.2 Discretization error(离散误差) and convergence(收敛性) 7.2 von Neumann Method for Analyzing Stability of Initial Problems 7.2.1 Propagation of error vector with time 7.2.2 Discrete Fourier expansion 7.2.3 Basic idea of von Neumann analysis 7.2.4 Examples of von Neumann analysis 7.2.5 Discussion on von Neumann analysis
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第一节 基本原理 第二节 傅立叶变换红外光谱仪 第三节 傅立叶变换红外图谱的解析及应用 Fourier transform infrared spectrum (FTIR)
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《高等路面设计理论》课程授课教案(讲义)THE FOURIER TRANSFORM(扫描版)
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《高等数学》课程教学资源(PPT课件)第十二章 无穷级数 12-06 第七节 傅里叶(Fourier)级数(series)
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《数学分析》课程教学资源(学习资料)Fourier级数复习
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海南大学:《数学分析》课程教学资源(教案讲义)第十五章 Fourier级数 15.3 收敛定理的证明
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1 Preliminary 11 Introduction 12 Cardinality 13 Topology of the Euclidean space 14 Metric space and Baire Category theorem 15 Continuous functions and Distance in metric space 151 Hausdorff distance and Gromov-Hausdorff distance 152 Invariant of domain 2 Lebesgue measure 21 Exterior measure 22 Measure 23 Borel sets and Measurable sets 24 Linear transformation of measurable sets 25 Sets of positive measure 3 Measurable functions 31 Measurable functions 32 Simple functions 33 Littlewood’s Three principles 4 Lebesgue’s integration theory 41 Integration 42 Interchanging limits with integrals 43 Lebesgue vs Riemann 44 Fubini’s Theorem 5 Differentiation 51 Monotone functions 52 Fundamental theorem of Calculus I 521 A detour: Bounded variation functions 53 Fundamental theorem of Calculus II 54 Lebesgue Differentiation Theorem 6 Function spaces 61 L P spaces 611 Normed vector space 612 A detour: Convexity and Jensen’s inequality 613 Completeness: Banach space 614 Separability 62 Hilbert space:
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同济大学:《复变函数和积分变换》课程教学资源(PPT课件讲稿)4-1-Fourier变换
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• 线性 Linearity • 奇偶虚实性 Conjugation and Conjugate Symmetry • 对称性 Duality • 尺度变换特性 Time Scaling • 时移特性和频移特性 Time and Frequency Shifting • 微分和积分特性 Differentiation and Integration • 卷积定理 Convolution Property • Paseval定理 Paseval’s Relation
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西安电子科技大学:《Digital Signal Processing》课程教学资源(课件讲稿)Chapter 5B Finite-Length Discrete Transforms Part B Discrete Fourier Transform Properties
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