3 ms·
What is "l_\infty"?
by axiosgunnar 5y ago
What is "l_\infty"?
- eigenket 5y agoA norm (meaning a definition of "length") where the length of a vector is defined as the largest absolute value of any of its components. Its one of the standard lp norms, you get a norm for every p in the closed interval [1,infinity]. The standard Euclidian norm is the case p=2. https://en.wikipedia.org/wiki/Lp_space#The_p-norm_in_finite_dimensions https://en.wikipedia.org/wiki/Lp_space#The_p-norm_in_finite_...
- dandellion 5y agoIt's Latetx syntax, doesn't work in hn, but would be this: http://www.sciweavers.org/tex2img.php?eq=l_%5Cinfty&bc=White&fc=Black&im=jpg&fs=12&ff=arev&edit=0 http://www.sciweavers.org/tex2img.php?eq=l_%5Cinfty&bc=White...
- ponow 5y agoThat's TeX for "l" with subscript infinity. It's a vector norm, and is equal to the element of the vector with maximal absolute value. It's also called the max-norm and sup-norm (for the infinite dimensional generalization, e.g., where the vector becomes a real-valued function of a single real variable).