Introduction

Introduction Fitting program - goal is to vary the fit parameters to minimize the chi-square defined as: function Fit parameters data points errors f{g,x) = 2πsqrt(length/g)

Basketball Movie Go to the notes for Week 3 find data Excel file Y-pos Y-vel time

Import to IGOR Make waves - called:tt, ypos and yvel Make table - Under Windows - new tableThen cut from the Excel file and pasteinto IGOR table

Graph Position Data

Fit Data to a Polynomial This dialog box - from choosing Curve Fitting under Analysis in themain menu Specify waves for the fit Built - infunctions areavailable 3 terms or quadratic

Results of Fit

Fit in a Range of Data With a graph selected - underthe Graph menu select Show Info - then move cursors overthe data points that define therange to be fitted

Procedure Define error wave and inverse error wave. In this example: err and errinv= 1/err. In the graph of period vs length, use markers for data and show error bars. Define the user-function in the Procedure window. In this example pend Make fitting coefficients wave and set to reasonable starting values. In this example coef.

Evaluating Fit

Terminal Velocity

Introduction

Introduction

Presentation Transcript

Introduction to introduction to introduction to … Optimization

INTRODUCTION/ INTRODUCTION

Introduction

INTRODUCTION

Introduction

Introduction