Elementwise vs componentwise vs coordinatewise vs pointwise
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 vs. Uniform Convergence - Mathematics Stack Exchange
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 …
hadamard product - Element-wise (or pointwise) operations notation ...
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 ...
Pointwise convergence of $x^n$ in $ [0,1]$ - Mathematics Stack …
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 …
What is "pointwise", in the context of function composition?
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?
What does it mean for summation to be "pointwise"?
Mar 3, 2013 · What does it mean for summation to be "pointwise"? Ask Question Asked 12 years, 11 months ago Modified 12 years, 11 months ago
calculus - The difference between pointwise convergence and uniform ...
The second one is uniform continuity, ive just forgot to change the name (because i copied and modified from the pointwise version). Thanks anyway.
pointwise convergence vs. convergence in operator norm
Feb 9, 2025 · It is a standard phnemenon: the pointwise convergence and uniform convergence do not coincide, even for sequences of linear operators.
Does convergence in $L^p$ imply convergence almost everywhere?
Apr 21, 2021 · Choosing suitable intervals with length going to zero you can exhibit a sequence of L^p, but pointwise the sequence doesn't converges at any point!
real analysis - What is the difference between pointwise boundedness ...
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 …