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Apr
28
comment Why do we classify infinities in so many symbols and ideas?
"the set of all possible problems you might want a computer program to solve is strictly bigger (cardinality of ℝ)" Oh, I want to solve many more problems than the cardinality of R ... ;)
Apr
5
revised What is this type of math notation called? (+ 4 5)
edit title
Apr
5
suggested approved edit on What is this type of math notation called? (+ 4 5)
Mar
7
awarded  Talkative
Mar
2
comment Correct set notation for “all integers which are not multiples of 7”?
Isn't this almost the same as the first line in the question?
Feb
29
comment Are there arbitrarily large gaps between consecutive primes?
And I think it can probably be improved even further (for n>=4) by not using LCM but the product of all primes <= n+1.
Feb
29
comment Are there arbitrarily large gaps between consecutive primes?
Everyone knows the (n+1)! + k (with 2<=k<=n+1) example. We can actually use the lower (n+1)! - k or even better the much lower LCM(2, 3, ..., n+1) - k. For n=3, we get LCM(2,3,4)=12 and the numbers are 10,9,8. For n=5 we get LCM(2, ..., 6)=60 and the numbers are 58,57,56,55,54.
Feb
17
comment Prove the following trigonometric identity without a calculator involved
Proving only with a calculator would be harder ;)
Jan
10
comment Does the set of all fields exist ?
(just a comment, related to the last paragraph): If we restrict to ordered fields, there are also the Surreal numbers Field (and the isomorphic maximal hyperreals Field) which contain all possible ordered fields as subfields. (Field instead of field because they are classes, not sets). See: Surreals
Sep
15
revised Is it true or false : p↔q does not imply p→¬q?
No need for the initial "I have a doubt"
Sep
15
suggested approved edit on Is it true or false : p↔q does not imply p→¬q?
Jun
8
revised Why do the equations $Ax + By + Cz= D$ represent planes in $\Bbb R^3$ and not lines?
The previous edit messed the title.
Jun
8
suggested approved edit on Why do the equations $Ax + By + Cz= D$ represent planes in $\Bbb R^3$ and not lines?
May
24
answered Find all solutions in N of the following Diophantine equation
May
24
comment Compute $\lim_{n \to \infty} \left(\frac{1}{\sqrt{n^3+1}} + \frac{1}{\sqrt{n^3+4}} + \cdots + \frac{1}{\sqrt{n^3+n^2}}\right)$
@GregoryGrant you need to correct the answer. (the $n / \sqrt{n^3+n^2}$ to $n / \sqrt{n^3}$)
May
24
comment Compute $\lim_{n \to \infty} \left(\frac{1}{\sqrt{n^3+1}} + \frac{1}{\sqrt{n^3+4}} + \cdots + \frac{1}{\sqrt{n^3+n^2}}\right)$
@Gregory your inequality is wrong. $n / sqrt(n^3+n^2) > 1 / sqrt(n^3)$
May
9
suggested rejected edit on Math problems that are impossible to solve
May
9
comment Math problems that are impossible to solve
I agree with Gerry. I was considered a big surprise when - some thousands of years ago - they proved this, and therefore that there are irrational numbers.
Apr
29
comment How to construct a product set whose complement is not a product set?
Why not $A \times X \subset X \times X$ ?
Apr
6
comment Is There any formula to calculate automorphism with the spesific graph?
Dn x (Sk)^n where k = s-2 I'm not exactly sure about the group itself but the size of it is certainly 2n x (s-2)^n. Matches your 2x3x(3-2)^3=6 and 2x4x(3-2)^4=8