Reputation
Next tag badge:
89/100 score
22/20 answers
Badges
6 78 173
Newest
 Populist
Impact
~713k people reached

8h
revised Why do we have Axiom of Pairing but we don't have its generalisation, i.e a collection exists instead of pairing axiom?
deleted 7 characters in body
8h
comment Why do we have Axiom of Pairing but we don't have its generalisation, i.e a collection exists instead of pairing axiom?
You can write it as an axiom scheme, per the Wikipedia page. But it is at more complicated than needed.
8h
answered Why do we have Axiom of Pairing but we don't have its generalisation, i.e a collection exists instead of pairing axiom?
10h
revised How to solve this particular indetermination: $0*\infty$
added 4 characters in body
19h
comment Solution to following functional equation
@IndrayudhRoy Many mathematicisn define $0^0=1$. There are strong reasons to do this.
19h
comment Solution to following functional equation
$f(x)=1$ for all $x$ is another trivial answer.
19h
revised Solution to following functional equation
deleted 3 characters in body
19h
comment How to prove that $f_n(x)=\frac{nx}{1+n\sin(x)}$ does not converge uniformly on $[0, \pi/2]$?
Right, but if you answer what $f$ is, actually, then you'll see why it doesn't converge uniformly. @Kittu
20h
comment How to prove that $f_n(x)=\frac{nx}{1+n\sin(x)}$ does not converge uniformly on $[0, \pi/2]$?
What is $f$? That seems the crucial question.
21h
revised R.E set and Recursive Set, A Confusing Axioms !?!?
added 8 characters in body
22h
comment Proving the well ordering principle
The well-ordering principle includes infinite sets, too. Proving for finite cases, the fact that there is a least element only requires a linear orders - it is true for the real, rationales and integers, for example. The infinite case is not true for the reals, rationals, nor the integers.
23h
comment $A$ is diagonalizable if $A^8+A^2=I$
You only need to know there are no repeated roots to that polynomial...
1d
comment Show that $\lnot\exists x\in A(P(x))$ is equivalent to $\forall x\in A(\lnot P(x))$
This one depends entirely on your axioms.
1d
revised Show that $\lnot\exists x\in A(P(x))$ is equivalent to $\forall x\in A(\lnot P(x))$
added 38 characters in body; edited title
1d
comment How to find this limit $\lim\limits_{(x,y) \to (1,1)} \frac{y-x^4}{y^3-x^4}$
Not along the $x$-axis, but parallel to it. @robjohn
1d
comment How to find the irreducible polynomial?
That's a hint? Seems a bit more than that. :)
1d
comment How to find the irreducible polynomial?
Blindly released squaring won't work. Square once, subtract something, then square again.
1d
revised probability of 26 letters
added 130 characters in body
1d
answered probability of 26 letters
1d
revised Proving that $\varphi(n)=n\prod (1-1/p)$ without using multiplicativity
deleted 1 character in body