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Sep
14
revised Set of Bounded linear Operators on $l_2$ is dense on the set of bounded operators on $l_2$?
added 64 characters in body
Sep
14
comment Set of Bounded linear Operators on $l_2$ is dense on the set of bounded operators on $l_2$?
This is not the core of the question. Anyways, a nonlinear operator is an operator which does not have the superposition property.
Sep
14
asked Set of Bounded linear Operators on $l_2$ is dense on the set of bounded operators on $l_2$?
Aug
23
awarded  Scholar
Aug
23
accepted A quasimetric for a space formed by nouns
Aug
23
awarded  Supporter
Aug
23
comment A quasimetric for a space formed by nouns
very good answer! actually you are representing "popularity" of the noun as a function that takes an article and returns some quantity related to the number of appearances of the noun in the article. About your pseudometric $d(x, y)$: if $x$ and $y$ are close related, then $d(x,y)$ is very close to $0$, which is really what I need. About the "pseudo": I can always construct the set $A$ such that, for all $x \in S$ there will exist an article $a \in A$ with $R(a) \cap S = \{x\}$. Therefore, under this restriction, $d(x,y)$ is a metric, which solves my problem.
Aug
22
asked A doubt about tensor product on Hilbert Spaces
Aug
22
awarded  Student
Aug
21
comment A quasimetric for a space formed by nouns
Actually I don't want to measure similarity between strings. I want to measure similarity between string meanings. $A$ represents the set of all journal articles.
Aug
21
comment A quasimetric for a space formed by nouns
I have changed the problem definition to account for these doubts. Thank you for your answer.
Aug
21
revised A quasimetric for a space formed by nouns
added 16 characters in body
Aug
21
revised A quasimetric for a space formed by nouns
deleted 3 characters in body
Aug
21
revised A quasimetric for a space formed by nouns
added 12 characters in body
Aug
21
awarded  Editor
Aug
21
revised A quasimetric for a space formed by nouns
added 29 characters in body
Aug
21
asked A quasimetric for a space formed by nouns