Reputation
Next tag badge:
397/400 score
192/80 answers
Badges
10 155 300
Newest
 roots
Impact
~1.5m people reached

1d
answered Probability that a natural number is a sum of two squares?
1d
answered Security of such cryptosystem design?
1d
comment Security of such cryptosystem design?
Finding $m$ is the same as finding $m+r$. RSA cryptosystem relies on the fact that - in general - it is not known how to compute $m+r$ from $C$ with feasible use of time and computing power unless one knows a number $d$ with $ed\equiv 1\pmod{\phi(N)}$ and that finding such $d$ is essentially equivalent to finding the prime factorization of $N$.
1d
revised Security of such cryptosystem design?
added 16 characters in body
1d
answered Give a good reason to define a function from A to B as a triple (F, A, B) rather than a functional set of pairs with domain A and image included in B.
1d
answered Does this set tend towards a disc?
1d
comment Any subfield of $\mathbb{C}$ must contain every rational number
@Ritu In short, if yoou do not use induction somewhere in your proof, I'm sure its not correct.
1d
answered $F$ is subfield of complex field $\mathbb{C}$. Show that $F$ is field with characteristic $0$
1d
comment We all use mathematical induction to prove results, but is there a proof of mathematical induction itself?
Once you can define what the set of natural numbers is, I can prove the principle of induction :)
1d
comment Proof check: $(4n)!$ is divisible by $2^{3n}3^{n}$
Induction can hardly be avoided for a function that is defined only by a recursoin.
1d
answered 10 points outside a unit circle
1d
comment Row rank$=$Column rank
Every "output" of $A$ times some vector is a linear combination of the column vectors of $A$.
1d
comment What's the smallest known interval containing at least one prime number?
You mean the asymtotically smallest function $f$ such that there is at least one prime between $x$ and $x+f(x)$ for all (or all sufficiently large) $x$?
1d
comment Why Should $A = \{x | x^2 = 16\ \mbox{and}\ x+6=6\}$ Be An Empty Set?
As a side note, $A$ is not just a null set, i.e., one of possibly many different null sets; there exists exactly one null set and hence $A$ is the null set. Apart from this I prefer the name empty set .
1d
answered Is the graph of $xy=1$ in $\mathbb C^{2}$ connected?
1d
revised Two disjoint compact sets in a topological group
added 15 characters in body
1d
answered Two disjoint compact sets in a topological group
2d
comment Two disjoint compact sets in a topological group
You forgot to reqwuire that $V$ is not empty, I suppose
2d
comment Finding $|E|$, where $E$ is the Splitting Field of $x^8-1$ over a Field of $4$ Elements.
It is well-known that there is no $i$ in team, but there is also no $i$ in characteristic $2$ ...
2d
comment Is every axiom in the definition of a vector space necessary?
@Vim Actually, one axiom is enough: A vector space is an abelian group on which a field acts. :)