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May
7
comment Comparing infinite numbers
@Asaf Karagila see here: en.wikipedia.org/wiki/… Cardinality of $\omega$ is $\aleph_0$ se they are usually considered equal.
May
7
revised Finding two sequences with a limsup value
not related to euler gamma
May
6
comment Comparing infinite numbers
@Asaf Karagila they do not. But the ordinal $\omega$ is usually identified with the cardinal $\aleph_0$ yet with different operations, see here: en.wikipedia.org/wiki/Ordinal_number .
May
6
comment Comparing infinite numbers
@Asaf Karagila exactly my point. The operations on surreals correspond not to the classical operations on ordinals but to the so-called "natural operations" (follow the second link).
May
6
answered Comparing infinite numbers
May
6
comment Compare density of rationals to the density of integers
@Travis Can we compare the density of rationals to the density of a uniform dense countable set at all? For instance the density of rationals to the density of its subset - rationals with, say, even numerator or denomenator?
May
6
comment Compare density of rationals to the density of integers
OK, infinite but quantify it. Use ordinals, cardinals, complex numbers, whatever else. But in such a way that the desities came different.
May
6
comment Compare density of rationals to the density of integers
No, I want a measure where the desnsity of integers is not zero. And greater than the density of, say, evens.
May
6
asked Compare density of rationals to the density of integers
May
3
awarded  Nice Question
Apr
25
reviewed Approve What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
Apr
25
reviewed Approve What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
Apr
25
comment What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
No Wikipedia entry?
Apr
25
accepted What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
Apr
25
revised What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
edited title
Apr
25
revised Is $\sum_{k=-\infty}^{0}f(-k)=\sum_{k=0}^{\infty} f(k)$ always?
edited body; edited title
Apr
25
comment What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
@mercio you are correct.
Apr
25
comment What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
@Lee Mosher yes, typo
Apr
25
revised What do you call the subset of all the Gaussian integers having the smallest magnitude given an argument?
added 6 characters in body
Apr
25
comment Is $\sum_{k=-\infty}^{0}f(-k)=\sum_{k=0}^{\infty} f(k)$ always?
@Alamos the first symbol definitely represents $\lim_{n\to\infty}\sum_{k=-n}^0f(k)$