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4h
comment What is $0\div0\cdot0$?
@mweiss: I am glad that we agree on some parts. And yes, it can be prove that $0$ doesn't have an inverse. The proof then is the reason that $0$ doesn't have an inverse, i.e. that one can't divide by $0$.
5h
comment What is $0\div0\cdot0$?
@mweiss: $(\mathbb{R}, \cdot)$ is not a group because $0$ doesn't have an inverse. So the set with the operation doesn't satisfy the requirements/axioms in the definition. One doesn't have to say more. The notation $a^{-1}$ only makes sense when $a$ has an inverse.
1d
answered Can $\mathrm{PGL}_2$ be viewed as an affine algebraic group?
1d
reviewed Reject remainder of $a^2+3a+4$ divided by 7
2d
revised $0.333333$ - a recurring or non-terminating decimal?
added 111 characters in body
2d
comment $0.333333$ - a recurring or non-terminating decimal?
@SudheerSree: I am not sure that I understand. Let me update my answer a bit.
2d
answered $0.333333$ - a recurring or non-terminating decimal?
Jul
25
answered Evaluate the Integral: $\int(x^5+5^x)\ dx$
Jul
24
revised Prove that $\mathbb{R}$ and the interval $(0, \infty)$ have the same cardinality.
added 23 characters in body; edited title
Jul
24
reviewed Leave Closed Is there a number so large that we could never calculate it?
Jul
24
revised Is 1 always an element in multiplicative group?
added 43 characters in body
Jul
24
answered Is 1 always an element in multiplicative group?
Jul
23
comment What is $0\div0\cdot0$?
@mweiss: I have read the comments, but my answer still stands. You can't divide by $0$ because it isn't defined. This is the mathematical answer. You can ask about the historical or other reasons behind any definition, but you don't have to include this. The correct answer to why you can't divide by $0$ is that it isn't defined.
Jul
23
comment About the characters of representations of groups
@sososos: No, that characters are different doesn't mean that they are different at all elements of the group.
Jul
23
answered About the characters of representations of groups
Jul
23
comment What is $0\div0\cdot0$?
@mweiss: With the viewpoint of abstract algebra it is a matter of definition.
Jul
22
answered What is $0\div0\cdot0$?
Jul
21
revised Indefinite integral $\int{3x^2\over (x^3+2)^4}dx$
edited title
Jul
19
comment Sum: $1-2+3-4+5-6+…$
Why the downvote?
Jul
17
comment Why $\frac{1}{9}$ becomes $\frac{1}{3}$ in $\frac{1}{3} \int \frac{1}{s^2+1} \, ds$?
@Voyska: It is not "wrong" to use the product rule.