Pointwise convergence means at every point the sequence of functions has its own speed of convergence (that can be very fast at some points and very very very very slow at others). …

Jul 8, 2019 · When talking vectors/matrices/tensors, pointwise is best avoided because it is decently ambiguous, since vectors can be interpreted as points. So a pointwise multiplication …

Sep 25, 2015 · Similarly, you could say that vector addition is 'pointwise addition' because you're adding the entries in parallel according to their indices. In the article, rather, it is just using it to …

The second one is uniform continuity, ive just forgot to change the name (because i copied and modified from the pointwise version). Thanks anyway.

Apr 27, 2019 · Pointwise convergence is defined through the normed space's norm in the book that I am reading. I still don't get why "wrt the norm" would be rubbish, considering that the …

Is there a notation for element-wise (or pointwise) operations? For example, take the element-wise product of two vectors x and y (in Matlab, x .* y, in numpy x*y), producing a new vector of …

Feb 5, 2017 · I'm reading about the definition of exponential function on $\\Bbb R$ and I came across a definition of pointwise convergence which I don't understand: We say that a …

Apr 21, 2021 · Commented Apr 28, 2012 at 14:10 1 Choosing suitable intervals with length going to zero you can exhibit a sequence of L^p, but pointwise the sequence doesn't converges at …

What does it mean for summation to be "pointwise"? Ask Question Asked 12 years, 10 months ago Modified 12 years, 10 months ago

Feb 9, 2025 · For pointwise convergence everywhere, x x is picked first, then an N N is found which works for that x x. Different values of x x can have different N N. With convergence in …