user38397
Reputation
Top tag
Next privilege 100 Rep.
Edit community wikis
 Sep16 asked is a direct sum of Hilbert spaces a Hilbert space.? Sep16 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. Sep14 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 Sep14 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. Sep14 asked Set of Bounded linear Operators on $l_2$ is dense on the set of bounded operators on $l_2$? Aug23 awarded Scholar Aug23 accepted A quasimetric for a space formed by nouns Aug23 awarded Supporter Aug23 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. Aug22 asked A doubt about tensor product on Hilbert Spaces Aug22 awarded Student Aug21 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. Aug21 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. Aug21 revised A quasimetric for a space formed by nouns added 16 characters in body Aug21 revised A quasimetric for a space formed by nouns deleted 3 characters in body Aug21 revised A quasimetric for a space formed by nouns added 12 characters in body Aug21 awarded Editor Aug21 revised A quasimetric for a space formed by nouns added 29 characters in body Aug21 asked A quasimetric for a space formed by nouns