Recent content by SNOOTCHIEBOOCHEE

Sorry i wasnt able to get help in the homework department. figured id try here. Homework Statement For a coordinate patch x: U--->\Re^{3}show thatu^{1}is arc length on the u^{1} curves iff g_{11} \equiv 1 The Attempt at a Solution So i know arc legth of a curve \alpha (t) =...

Homework Statement Let \gamma be a stright line in a surface M. Prove \gamma is a geodeisc The Attempt at a Solution In a plane we know a straight line is the shortest distance between two point. I am not sure if this applies to straight lines on a surface. Further more, there...

Every cyclic group has a generator. What is your generator in this case? edit: nm already beaten too it

one last bump, can anybody help me on this?

bump, i still need help on this

Homework Statement For a coordinate patch x: U--->\Re^{3}show thatu^{1}is arc length on the u^{1} curves iff g_{11} \equiv 1 The Attempt at a Solution So i know arc legth of a curve \alpha (t) = \frac{ds}{dt} = \sum g_{ij} \frac {d\alpha^{i}}{dt} \frac {d\alpha^{j}}{dt} (well that's actually...

Ok but as written, how do you compute that complex inner product?

Homework Statement Given g\equiv g_{ij} = [-1 0; 0 1] Show that A= A^{i}_{j} = [1 2 -2 1] is symmetric wrt innter product g, has complex eigenvalues, but eigenvectros have zero length wrt the complex inner product. The Attempt at a Solution Im sure this is just a simple...

Thanks dick, sorry you wasted your 12k post on me :/

Ok i calculated this out and got 20/26 which is the correct answer, but can you explain how you came to this formula?

Homework Statement A biased coin lands heads with probability 2/3. The coin is tossed 3 times a) Given that there was at least one head in the three tosses, what is the probability that there were at least two heads? b) use your answer in a) to find the probability that there was...

Homework Statement A vector d is a direction of negative curvature for the function f at the point x if dT \nabla ^2f(x)d <0. Prove that such a direction exists if at least one of the eigenvalues of \nabla ^2 f(x) is negative The Attempt at a Solution Im having trouble with this...

Homework Statement Find the decomposition of the standard two-dimensional rotation representation of the cyclic group Cn by rotations into irreducible representations The Attempt at a Solution Ok i did this directly, finding complementary 1-dimensional G-invariant subspaces. but...

we can show a set is convex for for any elements x and y ax + (1-a)y are in S. for a between 0 and 1. but i don't know how to use that here.

any thoughts?