Let $x(t)$ be a real valued vector. Can you find a function M such that


I have tried

$M=\dot{x}^Tx, M=x^Tx$

and many more which don't work. I know that if $x(t)$ is continuous then so will


be and thus M will exist. But how do i find this M?


Impossible a general formula even in dimension 1. In the case, you are asking for $$\int(x'(t))^2\,dt$$ and no such formula exists. In concrete cases maybe you can do the integral.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.