PPT-Discriminant, Remainder/Factor Theorems

I Standard Form of a quadratic In form of Lead coefficient a is positive       Examples   II Discriminant Tells us about nature of roots of a quadratic 4 cases 1 If Dgt0 then 2 real roots. PCA Limitations of LDA Variants of LDA Other dimensionality reduction methods brPage 2br CSCE 666 Pattern Analysis Ricardo Gutierrez Osuna CSETAMU Linear discriminant analysis two classes Objective LDA seeks to reduce dimensionality while preserv AS if for every trajectory we have as implies is the unique equilibrium point system is locally asymptotically stable LAS near or at if there is an R st 0 k as Basic Lyapunov theory 122 brPage 3br often we change coordinates so that 0 ie we use a Represented Theorems. Sara . Billey. University . of . Washington. Reproducibility in Computational and Experimental Math. ICERM. December 13, 2012. The Standard Inquiry. “Do you know anything about the following math problem?”. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Section 9.3b. Remainder Estimation Theorem. In the last class, we proved the convergence to a Taylor. s. eries to its generating function (sin(. x. )), and yet we did. n. ot need to find any actual values for the derivatives of. By: Pau . Thang. Theorem, and. Counterexample. Conjectures. an opinion or conclusion formed on the basis of incomplete information. Conjectures -. In other words, conjectures are . It is the use of . Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Linear Discriminant Analysis. Objective. -Project a . feature space (a dataset n-dimensional samples) onto a smaller . -Maintain . the . class separation. Reason. -Reduce computational costs. -Minimize . by One-Digit Numbers. What is this problem asking us?. If we divided . 682. into . 4. . groups of equal size, how many would be in each group?. 682. ). 4. Real Life Example. If Grandma has . 682. dollars that she wants to share it equally with . Nearest Neighbor Classification. Ashifur Rahman. About the Paper. Authors:. Trevor Hastie, . Stanford University. Robert . Tibshirani. , . University of Toronto. Publication:. KDD-1995. IEEE Transactions on Pattern Analysis and Machine Intelligence (1996). . for the given values:.  . 3. Sketch . the graph for each quadratic. No solutions One solution Two solutions. Using the Discriminant. I can . use the discriminant to determine how many solutions a quadratic equation will have.. CS 560 Artificial Intelligence. Many slides throughout the course adapted from Svetlana . Lazebnik. , Dan Klein, Stuart Russell, Andrew Moore, Percy Liang, Luke . Zettlemoyer. , Rob . Pless. , Killian Weinberger, Deva . . Theorems. m. example. Write a proof.. Given. : . Prove. : . . Statements Reason. . 1.. ___________________ _______________________. . 2.. ___________________ _______________________. . 3.. ___________________ _______________________. Algebra. Huntington’s Postulates. Truth Tables. Graphic Symbols. Boolean Algebra Theorems. 1. Boolean . Algebra. 2. Boolean . Algebra. A fire sprinkler system should spray water if high heat is sensed and the system is set to .