hudson m cosmology lecture notes

... 787 :COSMOLOGY Winter 2005 Mon & Fri 11:30-12:50 PM Main Link Rooms (W: EIT 2053, G: MacN 101) WWW: http://astro.uwaterloo.ca/~mjhudson/teaching/phys787 Instructor: Mike Hudson mjhudson@uwaterloo.ca Office: ... function of multipole number l, showing data from many recent experiments. The curve shows a cosmological model which fits the data. From Wayne Hu’sCMB experiment page. 1.2.6 Evide...

Ngày tải lên: 24/04/2014, 17:07

... year), in Roman numerals 10 5 = MMMMMMMMMMMMMMMMMMMM 18 MMMMMMMMMMMMMMMMMMMM MMMMMMMMMMMMMMMMMMMM MMMMMMMMMMMMMMMMMMMM MMMMMMMMMMMMMMMMMMMM The Andromeda galaxy is about 2 × 10 6 (two million) light ... Jupiter 1.99 × 10 30 Mass of the Sun 2.8 × 10 30 Maximum mass for a white dwarf star 6.0 × 10 30 Maximum mass for a neutron star 1.3 × 10 44 Rough mass of the stars in the Coma galaxy cluster...

Ngày tải lên: 24/04/2014, 16:54

... the CommandofMechatronic Servo Systems Forimproving the motionperformance of the whole mechatronic servosystem, the methodfor providing the commandtothe servosystem at eachmoment is avery importantfactor.Itmeans ... commandto servosystem is aproblem. Thisproblemisabout the form of time functionof command.The problemofcommandcontaining the way of data given must be discussed. In the discussion...

Ngày tải lên: 13/02/2014, 08:20

... Jacobian matrix. Equation (2.3.30) represents the general form of a minimum 2-norm solution to the following least-squares problem: (2.3.31) The solutions which are aimed at minimizing the norm of ... redundant manipulator 2.4.1Joint Limit Avoidance (JLA) Joint variables of actual mechanisms are obviously limited by mechan- ical constraints. In actual implementations, if some joint variables...

Ngày tải lên: 05/03/2014, 15:20

... alt="" Lecture Notes in Mathematics 1811 Editors: J M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris

Ngày tải lên: 14/03/2014, 18:20

... geometric terms. Let us consider a small-time controllable system, with H a class of control functions taking their values in some compact domain ]C of R m. We assume that the system is symmetric ... whether some general symmetric system is small-time controllable (from everywhere) can be done by a only semi-decidable procedure [50]. The combinatorial com- plexity of the problem is add...

Ngày tải lên: 22/03/2014, 11:20

... can arise from quantum tunneling even if matter or radiation are present. 2.5 Summary GENERAL RELATIVITY & COSMOLOGY for Undergraduates Professor John W. Norbury Physics Department University ... fundamental equations of motion that are used in all discussions of Friedmann models of the Universe. Exactly the same equations are obtained from the Einstein field equations [13]. Let us comme...

Ngày tải lên: 24/04/2014, 17:07

... của ma trận là hàng và cột (m hàng và n cột). - Véctơlà m t ma trận m m t chiều chỉ có chỉ số =1. Cụ thể, m t véctơhàng là m t ma trận chỉ có m t hàng (kích thước 1 x n), còn m t véctơcột là m t ... h m nghịch đảo của h m tang. atand - h m nghịch đảo của h m tang, kết quả theo độ. atan2 - h m nghịch đảo của h m tang 4 góc phần tư. atanh - h m nghịch đảo của h m tang hyperboli...

Ngày tải lên: 21/09/2013, 16:27

... 1 The cofactor matrix C of matrix A is defined by C M ij i j ij = − + ( )1 where M ij is the determinant of the smaller matrix obtained by eliminating the ith row and jth column of A. Thus, ... x. Determinant of a Matrix The determinant of square matrix A is a scalar number denoted by det A or |A|. For 2×2 and 3×3 matrices, their determinants are given by det a b c d ad bc       =...

Ngày tải lên: 17/10/2013, 11:15

... E-mail: Yijun.Liu@uc.edu Web: http://urbana.mie.uc.edu/yliu This document is downloaded from the course website: http://urbana.mie.uc.edu/yliu/FEM-525/FEM-525.htm (Last Updated: May ... Cincinnati i Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction Computer Implementations • Preprocessing (build FE model, loads and constraints) • FEA solver (assemb...

Ngày tải lên: 23/10/2013, 15:46