Solving for Variables using the Jacobian Transformation

Thread starter robertjford80
Start date May 28, 2012
Tags

Jacobian Transformation

Click For Summary

The discussion revolves around solving for variables using the Jacobian transformation in a homework context. Participants express confusion regarding the algebraic steps leading to the equations x = u/3 - v/3 and y = 2u/3 + v/3. Clarification is provided on substituting y = u - x into the equation for v and solving for x. The conversation highlights the importance of understanding routine algebra in the context of the Jacobian transformation. Overall, the thread emphasizes the complexity and intricacies of variable manipulation in this mathematical method.

May 28, 2012

robertjford80

Homework Statement

what routine algebra are they talking about. I don't see how they got

x = u/3 - v/3

or

y = 2u/3 +v/3

Physics news on Phys.org

May 28, 2012

tiny-tim

Science Advisor

Homework Helper

substitute y = u - x into v, and solve for x

May 28, 2012

robertjford80

thanks I got it. it's amazing how amazing you are.

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

View full post »