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Dissipative Force

Dissipative Force

Dissipative Force. Generalized force came from a transformation. Jacobian transformation Not a constraint Conservative forces were separated in the Lagrangian. Non-Potential Force. Velocity Dependent. A function M may exist that still permits a Lagrangian.

By layne
(472 views)

Parity

Parity

Let us examine the parity operator (P) and its eigenvalues. The parity operator acting on a wavefunction is defined by: P Y (x, y, z) = Y (-x, -y, -z) P 2 Y (x, y, z) = P Y (-x, -y, -z) = Y (x, y, z) Therefore P 2 = I and the parity operator is unitary.

By teo
(277 views)

Physics 430: Lecture 17 Examples of Lagrange’s Equations

Physics 430: Lecture 17 Examples of Lagrange’s Equations

Physics 430: Lecture 17 Examples of Lagrange’s Equations . Dale E. Gary NJIT Physics Department. 7.5 Examples.

By ipo
(665 views)

Separating Hyperplanes

Separating Hyperplanes

Separating Hyperplanes. Hyperplanes. Hyperplanes …. Unit vector perpendicular to the hyperplane :. Signed distance of a point x to the hyperplane :. Rosenblatt’s Perceptron Learning. Minimize the distance of misclassified points to the decision boundary.

By kiefer
(421 views)

Ch. 7: Dynamics

Ch. 7: Dynamics

Ch. 7: Dynamics. Updates. Lab #1 writeup due Thursday 3/8 A description of the writeup is included in the instructions Description of your forward kinematics block (DH parameters, etc) Details of your results Answers to the postlab questions Refer to Shelten’s instructions

By dustin
(269 views)

The Quasiharmonic Approximation

The Quasiharmonic Approximation

The Quasiharmonic Approximation. R. Wentzcovitch U. of Minnesota VLab Tutorial. “A simple approximate treatment of thermodynamical behavior”. Born and Huang. It treats vibrations as if they did not interact System is equivalent to a collection of independent harmonic oscillators

By metea
(196 views)

Quadratic Programming and Duality

Quadratic Programming and Duality

Quadratic Programming and Duality. Sivaraman Balakrishnan. Outline. Quadratic Programs General Lagrangian Duality Lagrangian Duality in QPs. Norm approximation . Problem Interpretation Geometric – try to find projection of b into ran(A) Statistical – try to find solution to b = Ax + v

By thyra
(342 views)

Double Pendulum

Double Pendulum

Double Pendulum. Coupled Motion. Two plane pendulums of the same mass and length. Coupled potentials The displacement of one influences the other Coupling is small Define two angles q 1 , q 2 as generalized variables. k. l. l. q 1. q 2. m. m. Coupled Equations.

By lyndon
(207 views)

SVM QP & Midterm Review

SVM QP & Midterm Review

SVM QP & Midterm Review. Rob Hall 10/14/2010. This Recitation. Review of Lagrange multipliers (basic undergrad calculus) Getting to the dual for a QP Constrained norm minimization (for SVM) Midterm review. Minimizing a quadratic. “Positive definite”. Minimizing a quadratic. “Gradient”.

By grayson
(82 views)

Lagrangian

Lagrangian

Lagrangian. The general coordinate transformation to velocity. q m = q m ( x 1 , … , x 3 N , t ) x r i = x i ( q 1 , … , q f , t ) Velocity is considered independent of position. Differentials dq m do not depend on q m . Generalized Velocity. time fixed. time varying.

By hanley
(175 views)

An elastic Lagrangian for space-time

An elastic Lagrangian for space-time

An elastic Lagrangian for space-time. Angelo Tartaglia and Ninfa Radicella Dipartimento di Fisica, Politecnico di Torino and INFN. The universe: a dualistic description. Space-time/Matter-energy. What is this?. r. r’. X a. “Elastic” continua. N+n. N. ξ . x μ. N.

By chin
(165 views)

Chapter 4 – Fluid Kinematic

Chapter 4 – Fluid Kinematic

Chapter 4 – Fluid Kinematic. Concept Position Rate of motion. Chapter 4 – Fluid Kinematic. Lagrangian / Eulerian (chap. 4.1). Chapter 4 – Fluid Kinematic. Eulerian description Velocity Accelerator. Chapter 4 – Fluid Kinematic. Eulerian description Gradient operator

By semah
(147 views)

Inexact Methods for PDE-Constrained Optimization

Inexact Methods for PDE-Constrained Optimization

University of North Carolina at Chapel Hill. Inexact Methods for PDE-Constrained Optimization. Frank Edward Curtis Northwestern University Joint work with Richard Byrd and Jorge Nocedal January 31, 2007. Nonlinear Optimization. “One” problem. Circuit Tuning. Building blocks:

By angelo
(143 views)

Quantum measurements and chiral magnetic effect

Quantum measurements and chiral magnetic effect

Quantum measurements and chiral magnetic effect. V.Shevchenko Kurchatov Institute, Moscow. based on arXiv : 1008.4977 (with V.Orlovsky ); 1208.0777 . Workshop on QCD in strong magnetic field Trento, Italy, 15 November 2012. Vacuum of any QFT (and the SM in particular) is

By curt
(212 views)

NLO QCD corrections to FCNC single top production at hadron colliders

NLO QCD corrections to FCNC single top production at hadron colliders

NLO QCD corrections to FCNC single top production at hadron colliders. Jun Gao, in collaboration with Chong Sheng Li, Hua Xing Zhu and Jia Jun Zhang. ITP of Peking University Aug 25, 2009 . Outline. 1, Introduction 2, FCNC single top production 3, Numerical results 4, Conclusion.

By trang
(108 views)

Efficient Inference for Fully-Connected CRFs with Stationarity

Efficient Inference for Fully-Connected CRFs with Stationarity

Efficient Inference for Fully-Connected CRFs with Stationarity. Yimeng Zhang, Tsuhan Chen CVPR 2012. Summary. Explore object-class segmentation with fully-connected CRF models Only restriction on pairwise terms is `spatial stationarity ’ (i.e. depend on relative locations)

By kieve
(322 views)

TinyOS: Radio, Concurrent Execution, and P ower control

TinyOS: Radio, Concurrent Execution, and P ower control

TinyOS: Radio, Concurrent Execution, and P ower control. Class 7. Announcements. Please email TA with group members It is necessary to distribute sensors to the groups Phase 1 for your group projects due on October 12 th . Requirements posted on the course webpage. Agenda. Review Quiz

By zizi
(93 views)

Optimality criterion methods

Optimality criterion methods

Optimality criterion methods. Methods that use directly an optimality criterion in order to resize the structure. Fully stress design and stress ratio resizing. Dual methods. Simple resizing rule based on Lagrange multiplier for single constraint. Fully stressed design.

By samara
(239 views)

The Maximum Principle of Optimal Control: A History of Ingenious Idea and Missed Opportunities

The Maximum Principle of Optimal Control: A History of Ingenious Idea and Missed Opportunities

The Maximum Principle of Optimal Control: A History of Ingenious Idea and Missed Opportunities Hans Josef Pesch 1 , Michael Plail 2 1 University of Bayreuth, Germany 2 Steinebach, Wörthsee, Germany Optimization Day, University of Southern Australia, Adelaide, Australia ,

By jemma
(330 views)

AOE 5104 Class 6

AOE 5104 Class 6

AOE 5104 Class 6. Online presentations for next class: Equations of Motion 2 Homework 2 Homework 3 (revised this morning) due 9/18 d’Alembert. C. 2D flow over airfoil with  =0. Last class. …and their limitations. Integral theorems…. Convective operator….

By diallo
(144 views)

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