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 might just be …

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). Imagine …

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 same ...

Sep 25, 2015 · For the math term of projection Wikipedia links to "function composition", whose page in turn links to "pointwise". The question is: What is “pointwise”, in the context of function composition?

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 definition I have …

Feb 9, 2025 · It is a standard phnemenon: the pointwise convergence and uniform convergence do not coincide, even for sequences of linear operators.

Oct 3, 2020 · Sequence of continuous functions on $ [0,1]$ pointwise converging to an unbounded function Ask Question Asked 5 years, 5 months ago Modified 2 years, 6 months ago

When does pointwise convergence imply uniform convergence? Ask Question Asked 14 years, 10 months ago Modified 4 years, 10 months ago

May 14, 2017 · $\left (2\right)$ What is the difference between boundedness, pointwise boundedness, and uniform boundedness? $\left (3\right)$ If my function is bounded for all $x$, does this imply that …