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  • 0 posts edited
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  • 6 votes cast
Oct
5
revised I need to compute one integral in terms of another integral.
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Oct
5
revised I need to compute one integral in terms of another integral.
added 3 characters in body
Oct
5
comment I need to compute one integral in terms of another integral.
ok, ok, ok.......
Oct
5
revised I need to compute one integral in terms of another integral.
added 115 characters in body
Oct
5
asked I need to compute one integral in terms of another integral.
Sep
16
comment is a direct sum of Hilbert spaces a Hilbert space.?
But Wikipédia presents a condition that is not present on proofwiki: the sum of all norms for each function on the direct sum must converge.
Sep
16
asked is a direct sum of Hilbert spaces a Hilbert space.?
Sep
16
comment Set of Bounded linear Operators on $l_2$ is dense on the set of bounded operators on $l_2$?
Very good coment! However I would like to know why it is not an inner product, since it is linear in the first argument, positive definite, and symmetric.
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