Jan 24, 2013 · In number theory, the "norm" is the determinant of this matrix. In that sense, unlike in analysis, the norm can be thought of as an area rather than a length, because the determinant can …

Feb 6, 2021 · I am not a mathematics student but somehow have to know about L1 and L2 norms. I am looking for some appropriate sources to learn these things and know they work and what are their …

Feb 10, 2026 · Yes, as indicated by daw, because your discrete Sobolev norm only includes the values of the function evaluated at the discrete mesh points, it is always possible to construct a nonzero …

The operator norm is a matrix/operator norm associated with a vector norm. It is defined as $||A||_ {\text {OP}} = \text {sup}_ {x \neq 0} \frac {|A x|_n} {|x|}$ and different for each vector norm. In case of the …

Dec 13, 2015 · Prove Operator Norm is a Norm on linear space [duplicate] Ask Question Asked 10 years, 1 month ago Modified 10 years, 1 month ago

Sep 13, 2019 · How should I differentiate the norm of a function? I mean, how can I get the first and second derivatives of something like: $$||\alpha (s)||^2$$ I know that I have to use the chain rule, but …

Dec 18, 2018 · To avoid any ambiguity in the definition of the square root of a matrix, it is best to start from $\ell^2$ norm of a matrix as the induced norm / operator norm coming from the $\ell^2$ norm of …

Jan 31, 2025 · Norm of integral vs integral of norm Ask Question Asked 1 year ago Modified 1 year ago

Dec 17, 2017 · I've read the Uniform Norm Wikipedia page, but my most of it went over my head. What is the sup-norm in simple and / or intuitive terms? Are there any good examples which illustrate it?

Jul 7, 2014 · Definition of $L_\infty$ norm Ask Question Asked 11 years, 7 months ago Modified 8 years, 7 months ago