'Stationary point' diaporamas de présentation

Mathematics for Business (Finance)

Mathematics for Business (Finance). Instructor: Prof. Ken Tsang Room E409-R11 Email: kentsang @uic.edu.hk. Chapter 6: Calculus of two variables. In this Chapter:. Functions of 2 Variables Limits and Continuity Partial Derivatives

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Design and Analysis of Engineering Experiments

Design and Analysis of Engineering Experiments. Ali Ahmad, PhD. Response Surface Methodology. Text reference, Chapter 11 Primary focus of previous chapters is factor screening Two-level factorials, fractional factorials are widely used Objective of RSM is optimization

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Vibration Absorbers for Cyclic Rotating Flexible Structures

Vibration Absorbers for Cyclic Rotating Flexible Structures. Linear and Nonlinear Tuning. Brian J. Olson Senior Staff Engineer The Johns Hopkins University Applied Physics Laboratory. Steven W. Shaw Professor Michigan State University. SMASIS08_5-7, Ellicott City, MD, October 28-30, 2008.

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Mean-Field Theory and Its Applications In Computer Vision1

Mean-Field Theory and Its Applications In Computer Vision1. Introduction. Problem formulation. Mean-field based inference method. Strategy for incorporating different costs. Labelling problem. Assign a label to each image pixel. Object detection. Object segmentation. Stereo.

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Local Stability Analysis

Local Stability Analysis. Step One: find stationary point(s) Step Two: linearize around all stationary points (using Taylor expansion), the Eigenvalues of the linearized problem determine nature of stationary point: Real parts: positive: growth of fluctuations, instability

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Mathe III Lecture 8

Mathe III Lecture 8. Constrained Maximization. Lagrange Multipliers. At a maximum point of the original problem. the derivatives of the Lagrangian vanish (w.r.t. all variables). Constrained Maximization. Lagrange Multipliers. Intuition. y. iso- f curves. f(x,y) = K. 5. 20. 6.

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Differentiation; Revision Overview

Differentiation; Revision Overview. Differentiation. Given Y = ax n then differentiating . Rule Multiply by the power and take one off. Differentiation. You can be asked to write down the first and second differentials in an A/S question. Remember

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Modeling Surface Energy Balance Using the MEP Method

Modeling Surface Energy Balance Using the MEP Method. Jingfeng Wang 1 and Rafael L. Bras 1,2 1 University of California at Irvine 2 Georgia Institute of Technology 5 th Interagency Surface Dynamics Working Group Meeting 1 - 3 March 2011

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Flow Topology

Flow Topology. CS 419 Scientific Visualization John C. Hart Source: Notes on the Topology of Vector Fields and Flows by Dan Asimov. Example: Phase Space. <Position, Velocity> Trash can lid Pendulum phase Angle (periodic) Angular velocity

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Economics 2301

Economics 2301. Lecture 34 Multivariate Optimization. Second Total Differential of Bivariate Function. Example of Second Total Differential. Second Order Conditions.

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Excel for complex calculations

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Higher Maths 1 3 Differentiation

Higher Maths 1 3 Differentiation. 1. OUTCOME. SLIDE. UNIT. Higher Maths 1 3 Differentiation. 2. OUTCOME. SLIDE. UNIT. NOTE. The History of Differentiation.

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Identifying Stationary Points

Identifying Stationary Points. Differentiation 3.6. The stationary points of a curve are the points where the gradient is zero. e.g. A local maximum. x. x. A local minimum. The word local is usually omitted and the points called maximum and minimum points.

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Constrained Optimization

Constrained Optimization . Economics 214 Lecture 41. 2 nd Order Conditions Constrained Optimization . Sufficient conditions in optimization problems require determining The sign of the second total differential. The sign of the second Total differential of a Lagrangian function.

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Non Linear Programming

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How to build moveable parts

How to build moveable parts. 6 simple mechanisms. Inclined Plane Lever Pulley Screw Wedge Wheel and Axle. Pulley.

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TopFusion

TopFusion. Download. http://www.topofusion.com/registered.php Registration Name: Office of Surface Mining WR Case sensitive Registration Code: 1471 Run from window Execute file Launch TopoFusion (enter registration again) Remain at initial screen

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Nuffield Free-Standing Mathematics Activity Stationary points

Nuffield Free-Standing Mathematics Activity Stationary points. Maximum point. Minimum point. Maximum point. point of inflexion. Minimum point. Stationary points. Think about What happens to the gradient as the curve passes through a maximum point? a minimum point? a point of inflexion?.

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Part 4 Nonlinear Programming

Part 4 Nonlinear Programming. 4.4 Simple Second-Order Method. Stationary Point of NLP. Basic Strategy. Basic Strategy. Basic Strategy.

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