
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). …
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 …
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 …
Whats the point of Pointwise Convergence - Mathematics Stack …
Dec 16, 2023 · The theorems about the Lebesgue integral require only pointwise convergence + some other condition. Actually, this is one of the main advantages of Lebesgue integration …
hadamard product - Element-wise (or pointwise) operations …
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 …
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 …
Definition of pointwise convergence - Mathematics Stack Exchange
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 …
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.
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, 9 months ago Modified 12 years, 9 months ago
Equicontinuity on a compact metric space turns pointwise to …
Equicontinuity on a compact metric space turns pointwise to uniform convergence Ask Question Asked 11 years, 11 months ago Modified 2 years, 10 months ago