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seen Oct 9 at 8:02

Just Browsin'


Oct
1
awarded  Popular Question
Sep
30
awarded  Explainer
Sep
29
awarded  Tumbleweed
Sep
28
awarded  Yearling
Sep
26
comment Given $f:[0,1]\to[0,1]$ and $q:[0,1]\to\mathbb{R}$, is there a $g$ such that $q(f(x))\equiv g(q(x))$?
The commutative diagram in the title is very disconcerting.
Sep
24
awarded  Autobiographer
Sep
23
comment What Gauss *could* have meant?
In the spirit of Gauss' quotes, I would have replied "The result was apparent to me immediately: but I do not yet know how I am to arrive at them."
Sep
22
asked Pre-requisites for 'The Concept of a Riemann Surface'
Sep
22
comment Is it true that $n^2+3n+13$ is prime for all $n\in\mathbb ℤ^+$?
@Nilan: $n = a+b+1$? Hint: replace $n$ by $n+1$ ;)
Sep
18
comment An identity that is always an integer
:) This was my generalization. In fact, any symmetric polynomial is a polynomial in elementary symmetric polynomials and here the elementary symmetric polynomials are integers, so every symmetric polynomials in those fractions are integers. I want to obtain a problem where proving an identity is an integer is hard when we use these tricks. In this way I can motivate Gauss symmetric polynomial theorem. Thanks for the answer :)
Sep
18
comment How to find identity and inverse for the group $(\mathbb{Z}, \ast)$, where $a \ast b = a+b-ab$
This 'one' is worse than the real 'one'. The real one does not harm any element after it acts, but this one gobbles up everything it sees :P
Sep
18
asked An identity that is always an integer
Sep
18
comment How to determine the orbits of points under the tripling map $f(x)=3x\bmod 1$?
Also notice that $\frac{3^2}{72} = \frac18$. So if $\frac18$ is periodic and $\frac1{72}$ does not appear in its orbit, what do you think will happen to $\frac1{72}$? Can it be periodic?
Sep
18
comment What does the Fundamental Theorem of Algebra say about…
Does the polynomial have real coefficients? This is very important and you should have learnt this fact from your last question.
Sep
18
comment What does the Fundamental Theorem of Algebra say about the number of complex zeros of a polynomial function?
You can have a polynomial with three complex zeroes. Try $(x^2+1)(x-i)$. The point is that if the coefficients are real, then one needs a complex conjugate to get rid of the imaginary parts in the coefficients.
Sep
16
answered Prove a group is abelian
Sep
16
revised Prove a group is abelian
added 6 characters in body
Sep
16
revised How many ways are there to write $675$ as a difference of two squares?
updatred answer
Sep
16
comment Maximal commutative subring of the ring of $2 \times 2$ matrices over the reals
Would you kindly add examples of commutative subalgebras of dimension $3n^{\frac23}$?
Sep
16
answered How many ways are there to write $675$ as a difference of two squares?