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seen Dec 18 at 12:31

Dec
16
awarded  Caucus
Dec
9
comment Why are integers subset of reals?
@EmilJeĊ™ábek The definition of multiplication on this subset of $\mathbb{R}$ does not necessarily come from the multiplication on $\mathbb{R}$: it can be seen as a restriction of the multiplication $\mathbb{Z} \times \mathbb{R} \to \mathbb{R}$, defined by $(n+1)x=nx + x$ and $(-1)x = -x$ (in other words, the $\mathbb{Z}$-module structure of any commutative group). With this definition, 2.0 does not divide 1.0.
Jun
10
revised “It looks straightforward, but actually it isn't”
Too big a shortcut...
Jun
10
revised “It looks straightforward, but actually it isn't”
Typo
Jun
9
revised “It looks straightforward, but actually it isn't”
On the OP's suggestion, added a possible elementary proof
May
13
awarded  Caucus
Nov
18
answered Prove that R is a ring under 'special' definitions of multiplication and addition
Oct
18
comment How to show that $\frac{\sin(n)}{n}$ is $1$ as $n \rightarrow 0$?
As an alternative, you can consider that limit as a derivative.
Sep
30
revised Construct (with ruler and compass) a square given one point from each side.
added 3 characters in body
Sep
30
awarded  Teacher
Sep
29
awarded  Supporter
Sep
29
awarded  Editor
Sep
29
revised Construct (with ruler and compass) a square given one point from each side.
added 6 characters in body
Sep
29
answered Construct (with ruler and compass) a square given one point from each side.
Sep
29
comment Construct (with ruler and compass) a square given one point from each side.
I'm not sure to understand the question... Do you want a proof that this solution works?