Reputation
143,484
Next tag badge:
94/100 score
25/20 answers
Badges
10 139 277
Newest
 Nice Answer
Impact
~1.3m people reached

May
10
answered A binomial random number generating algorithm that works when $ n \times p $ is very small
May
10
comment $lim_{n \to \infty} [\frac1{n+1} + \frac1{n+2} + … + \frac1{kn}]=?$, where $k \gt 1$ is an integer.
Well, the final $=$ is not fully justified.
May
10
answered The limit of the derivative of an increasing and bounded function is always $0$?
May
10
answered How can I solve: ${\left [{x+1}\over2\right]}={x-1\over 3}$?
May
10
answered How is the Harris Corner detector derived from a Taylor Expansion?
May
9
answered How prove this frog can finite steps jump the point $(\frac{1}{5},\frac{1}{17})$
May
9
revised How prove this frog can finite steps jump the point $(\frac{1}{5},\frac{1}{17})$
added 23 characters in body
May
9
comment Superassociative operation
Try $a\circ_1b=1$.
May
9
comment Ground plan of Forward direction - Let $p$ be an odd prime. Prove $x^{2} \equiv -1 \; (mod \, p)$ has a solution $\iff p\equiv 1 \; (mod 4)$
Your first part look sutterly complicated. Primes $\ne 2$ are odd, and odd numbers are either $\equiv 1\pmod 4$ or $\equiv 3\pmod 4$.
May
9
comment I want to find a cubic extension of $\mathbb{Q}$
No that extension is of degre $8$
May
9
comment Homeomorphic or Homotopic
Two 3D objects that are homeomorphic need not be transformable (within 3-space) into each other. That would require that the presumed homeomorphism from one to the other is homotopic to its embedding (both viewed as functions into the topological space $\mathbb R^3$ rather than the objects themselves). - For example two interlocked circles are homeomorphic to two noninterlocked circles, but you cannot transform them; same for a knotted and an unknotted torus
May
9
comment Is my proof correct? (standard algebra, some calculus)
Recognizing $x^2+2x+1=(x+1)^2$ and $x^4-6x^2+9=(x-3)^2$ might have made things a bit easier.
May
9
answered Evaluate $a+b+c+d$
May
9
answered A group theoretical game: Is it possible to reach a state when only blue marbles are left?
May
9
answered Can a connected subpsace be in disjoint open sets?
May
9
comment Why is analysis called “analysis”?
I guess the OP means that analysis literally just means resolving, a very generic concept. I recall a similar question here regarding calculus; there the confusion was caused by the fact that this is just short for differential calculus. I don't think anything like that (e.g. differential analysis) was ever in use, but see the distinction from functional analysis and also analysis situs (today called topology)
May
9
answered Show that the product of two consecutive natural numbers is never a square.
May
9
awarded  Great Answer
May
9
comment Checking if a graph is bipartite is $O(n)$
Yes, the best algorithm may depend on the data structure ... With the matrix as input data structure, indeed $n=|V|^2$ is the natural measure of complexity of the graph. Giving a graoh as set of edges (püairs of vertices) might allow faster methods, but of course $|E|\sim |V|^2$ in the worst case.
May
9
comment Defining a not surjective function to be surjective
Why not simply $f(x)=2x$ and $g(x)=\lfloor x/2\rfloor$?