0
$\begingroup$

Let $E'$ is ellipsoid of dimension $n-1$ that gain as intersection of $E$ and some hyperplane. Let $a_1\leq\cdots\leq a_n$ are halfaxis of $E$ and $b_1\leq\cdots\leq b_{n-1}$ are halfaxis of $E'$. Prove that for any $i$ from $1,\cdots,n-1$ is truth that $a_i\leq b_i\leq a_{i+1}.$

It is obviously for $n=2$. But I can't do induction.

$\endgroup$

Your Answer

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

Browse other questions tagged or ask your own question.