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2d
revised Is standard deviation sensitive to arithmetic mean?
added 10 characters in body
2d
revised Find remainder of $\frac{17^{235}}{ 23}$
simplified introducing $-10$ for $+13$
2d
answered Find remainder of $\frac{17^{235}}{ 23}$
2d
answered Is standard deviation sensitive to arithmetic mean?
Jun
27
answered Must the centralizer of an element of a group be abelian?
Jun
24
answered relation of R-module homomorphisms with direct sums
Jun
24
answered How to determine non trivial homomorphisms
Jun
24
comment Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
Elements of the fraction field of an integral domain $R$ are of the form $f/g$ with $f,g\in R$, and so a homomorphism $\phi$ from there to a field $E$ can extended by $\phi(f)/\phi(g)$. This should be explained in text books where the define fraction fields.
Jun
24
comment Find the remainder of the following using binomial theorem?
Binomial theorem obscures what happens. The fact is, $5$ is an element of order $2$, in the multiplicative group mod 24. And you are raising $5$ to an odd number. (all positive powers of the integer 5, odd or even number, iterated powers or vanilla powers, are always odd). Binomial theorem is not relevant.
Jun
24
comment Find the remainder of the following using binomial theorem?
Think carefully. The $x$ in my answer above is 5's piled 23 times, a power of 5, hence odd.
Jun
24
revised Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
Summarising final sentence added.
Jun
24
answered Find the remainder of the following using binomial theorem?
Jun
24
answered Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
Jun
24
comment $G$ open connect subset of $\mathbb{C}$ and $f: G \to \Bbb C$ analytic.
Assume $f$ is a non-constant function and show that the minimum in absolute value, if attained in $G$, should be zero.
Jun
24
revised Alternate method to calculate an infinite string of numbers that's not $\pi$, and contains any string
added 331 characters in body
Jun
24
answered Alternate method to calculate an infinite string of numbers that's not $\pi$, and contains any string
Jun
24
comment rotating linear dependent vectors in space
Yes it is valid in all dimensions.
Jun
24
answered rotating linear dependent vectors in space
Jun
23
comment Can $n^2+4n$ be a perfect square?
user264866: You are right. I am correcting it. Thanks for pointing out the error.
Jun
23
revised Can $n^2+4n$ be a perfect square?
added 11 characters in body