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Lecture 13

Lecture 13

Lecture 13. Fluctuations. Fluctuations of macroscopic variables. Correlation functions. Response and Fluctuation. Density correlation function. Theory of random processes. Spectral analysis of fluctuations: the Wiener-Khintchine theorem. The Nyquist theorem.

By RoyLauris
(492 views)

The Analytic Continuation of the Ackermann Function

The Analytic Continuation of the Ackermann Function

The Analytic Continuation of the Ackermann Function. What lies beyond exponentiation? Extending the arithmetic operations beyond addition, multiplication, and exponentiation to the complex numbers. Overview.

By issac
(602 views)

Interpolation

Interpolation

Interpolation. Interpolation. Interpolation is important concept in numerical analysis. Quite often functions may not be available explicitly but only the values of the function at a set of points. . Interpolation. Interpolation is important concept in numerical analysis.

By emily
(824 views)

EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations

EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations

EE 3561 : Computational Methods Unit 8 Solution of Ordinary Differential Equations. Lesson 3: Midpoint and Heun’s Predictor corrector Methods. Lessons in Topic 8. Lesson 1: Introduction to ODE Lesson 2: Taylor series methods Lesson 3: Midpoint and Heun’s method

By Samuel
(788 views)

EEE 498/598 Overview of Electrical Engineering

EEE 498/598 Overview of Electrical Engineering

EEE 498/598 Overview of Electrical Engineering. Lecture 3: Electrostatics: Electrostatic Potential; Charge Dipole; Visualization of Electric Fields; Potentials; Gauss’s Law and Applications; Conductors and Conduction Current. Lecture 3 Objectives.

By mandel
(368 views)

UoM’s ENGR101 Introduction to Computers and Programming

UoM’s ENGR101 Introduction to Computers and Programming

A brief description of the course design, with examples. UoM’s ENGR101 Introduction to Computers and Programming. Alex Bielajew , UoM , NERS Department. Required course for Freshmen (~1100-1200/yr) Focus: algorithm development, not programming No prerequisites (math/computing/science)

By nuwa
(191 views)

Voltage and Reactive Power Estimation for Contingency Analysis

Voltage and Reactive Power Estimation for Contingency Analysis

Voltage and Reactive Power Estimation for Contingency Analysis. Pablo A. Ruiz ECE Department, University of Illinois. Power Affiliates Program Annual Review May 11, 2007. Outline. Motivation Sensitivities and linear approximations

By alva
(452 views)

Modeling evolutionary genetics

Modeling evolutionary genetics

Modeling evolutionary genetics. Jason Wolf Department of ecology and evolutionary biology University of Tennessee. Goals of evolutionary genetics. Basis of genetic and phenotypic variation # and effects of genes gene interactions pleiotropic effects of genes

By briallen
(261 views)

Interpolation

Interpolation

Interpolation. Interpolation. Interpolation is important concept in numerical analysis. Quite often functions may not be available explicitly but only the values of the function at a set of points. . Interpolation. Interpolation is important concept in numerical analysis.

By liam
(639 views)

CH12- WIENER PROCESSES AND ITÔ ' S LEMMA

CH12- WIENER PROCESSES AND ITÔ ' S LEMMA

CH12- WIENER PROCESSES AND ITÔ ' S LEMMA. OUTLINE. the value of the variable changes only at certain fixed time point. only limited values are possible for the variable. 12.1 THE MARKOV PROPERTY . A Markov process is a particular type of stochastic process .

By richelle
(434 views)

ME451 Kinematics and Dynamics of Machine Systems

ME451 Kinematics and Dynamics of Machine Systems

ME451 Kinematics and Dynamics of Machine Systems. Dynamics of Planar Systems April 7, 2009 6.3. Quote of the day: We learn from history that we learn nothing from history. Bernard Shaw. © Dan Negrut, 2009 ME451, UW-Madison. Before we get started… . Last Time

By flo
(268 views)

Numerical methods

Numerical methods

Numerical methods. Specific methods: Finite differences Pseudospectral methods Finite volumes. … applied to the acoustic wave equation … . Why numerical methods. Example: seismic wave propagation. Seismometers. Generally heterogeneous medium. … we need numerical

By lucine
(336 views)

Taylor Series Revisited

Taylor Series Revisited

Taylor Series Revisited. Major: All Engineering Majors Authors: Autar Kaw, Luke Snyder http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates. Taylor Series Revisited http://numericalmethods.eng.usf.edu. What is a Taylor series?.

By sage
(280 views)

Ch 5.4: Euler Equations; 		Regular Singular Points

Ch 5.4: Euler Equations; Regular Singular Points

Ch 5.4: Euler Equations; Regular Singular Points. Recall that for equation if P , Q and R are polynomials having no common factors, then the singular points of the differential equation are the points for which P ( x ) = 0. . Example 1: Bessel and Legendre Equations.

By eros
(491 views)

Parametric Inference

Parametric Inference

Parametric Inference. Sample distance between θ and θ *. True distance between θ and θ * (KLD). Properties of MLE. Consistency True parameter: MLE using n samples: Define Condition 1: Condition 2:.

By noah
(226 views)

Introduction To Non–linear Optimization

Introduction To Non–linear Optimization

Introduction To Non–linear Optimization. PART I. Optimization Tree. Figure 1: Optimization tree. What is Optimization?. Optimization is an iterative process by which a desired solution (max/min) of the problem can be found while satisfying all its constraint or bounded conditions.

By syshe
(252 views)

Analysis Considerations in Industrial Split-Plot Experiments When the Responses are Non-Normal

Analysis Considerations in Industrial Split-Plot Experiments When the Responses are Non-Normal

Analysis Considerations in Industrial Split-Plot Experiments When the Responses are Non-Normal. Timothy J. Robinson University of Wyoming Raymond H. Myers Virginia Tech Douglas C. Montgomery Arizona State. Mixture Experiment with Process Variables. Film manufacturing process

By philyra
(170 views)

Prolog

Prolog

Prolog. Website: http://ckw.phys.ncku.edu.tw Homework submission: class@ckw.phys.ncku.edu.tw. Algebra / Analysis vs Geometry Relativity → Riemannian Geometry Symmetry → Lie Derivatives → Lie Group → Lie Algebra Integration → Differential forms → Homotopy, Cohomology

By metta
(183 views)

Power Series Representations

Power Series Representations

ECE 6382. Fall 2019. David R. Jackson. Notes 7. Power Series Representations. Notes are from D . R. Wilton, Dept. of ECE. Geometric Series. Consider. Geometric Series (cont.). Generalize: ( 1  z p ):. Consider. Taylor series. Laurent series. Geometric Series (cont.). Consider.

By afric
(613 views)

Taylor Series

Taylor Series

Taylor Series. Brook Taylor. Presented By: Sumrana yasmeen Topic: Taylor series Branch : HNS Subject: Mathematics 1V Year: 2 Semester: 1. History of Taylor Series. Brook Taylor.

By luella
(490 views)

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