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For questions about mathematical notation, i.e. the symbols used to represent mathematical objects and operations.

1 vote
0 answers
3k views

Notation for space of Lipschitz continuous functions

.$$ Is there a standard notation for the space of functions whose Lipschitz norm is finite? … $$X^1(D) = \{f \in C^1(D) : \|\nabla f\|_{\mathrm{Lip}} < \infty \}$$ I am using $X$ and $X^1$ here only as placeholders, and would prefer a better notation. …
Tom LaGatta's user avatar
  • 8,532
3 votes
4 answers
511 views

Better terminology than "equivalence class of functions"

The notation $[f]_D$ is short and sweet, but the terminology "equivalence class of functions" is too clunky. Question: Is there a better name for the object $[f]_D$? …
Tom LaGatta's user avatar
  • 8,532