Homework set 7 - due 03 / 27 / 2015
نویسنده
چکیده
• Review of vector fields and differential equations in Rn . Let X be a vector field on a nonempty open subset of Rn . An integral curve of X with initial condition p0 is a differentiable path c : (a,b) → Rn , defined on an open interval containing 0 such that c(0) = p0 and c ′(t ) = X (c(t )) for all t ∈ (a,b). Thus to the vector field X one associates a differential equation ṗ = X (p). A solution of such equation is an integral curve of X . Conversely, systems of ordinary differential equations correspond to vector fields. Consider, for example, the second order initial value problem in R with the equation ẍ = f (t , x, ẋ) and initial conditions x(0) = x0, x ′(0) = ẋ0. By introducing coordinates x1 = t , x2 = x, x3 = ẋ,
منابع مشابه
The Homework-Achievement Association 1 Running Head: THE HOMEWORK-ACHIEVEMENT ASSOCIATION Chameleon Effects in Homework Research: The Homework-Achievement Association Depends on the Measures Used and the Level of Analysis Chosen
Using a data set specifically tailored to homework research, with a sample of 1,275 students from 70 classes in Switzerland, the association between homework and achievement in French as a second language was tested at three levels (class level, between-student level, withinstudent level). The strength and direction of the homework-achievement association depended on the homework indicator chos...
متن کاملPackage ‘ adehabitat ’ March 27 , 2015
March 27, 2015 Version 1.8.17 Date 2015-03-27 Title Analysis of Habitat Selection by Animals Author Clement Calenge, contributions from Mathieu Basille, Stephane Dray and Scott Fortmann-Roe Maintainer Clement Calenge Depends R (>= 2.10.0), ade4, tkrplot, shapefiles, sp, graphics Suggests spatstat, MASS, CircStats Description A collection of tools for the analysis...
متن کاملPhysics 171. General Relativity. Professor Dine Fall, 2008. Handout: A Primer on Curvature, the Einstein Equations and Cosmology (and Homework Set 7)
متن کامل
Predicting approach to homework in Primary school students.
BACKGROUND The goal of this research was to study the weight of student variables related to homework (intrinsic homework motivation, perceived homework instrumentality, homework attitude, time spent on homework, and homework time management) and context (teacher feedback on homework and parental homework support) in the prediction of approaches to homework. METHOD 535 students of the last th...
متن کامل