462 reputation
313
bio website
location
age
visits member for 2 years, 2 months
seen May 26 '13 at 20:40

Heavily interested in Topology and Real Analysis and philosophy of Mathematics


Nov
9
awarded  Popular Question
Oct
7
awarded  Yearling
Sep
24
awarded  Autobiographer
Sep
10
awarded  Popular Question
Jul
2
awarded  Curious
Jul
2
awarded  Notable Question
Oct
11
awarded  Popular Question
Oct
7
awarded  Yearling
Apr
2
comment Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
@Did: just curious. When you mentioned the fact that "As mentioned before, there is not a whiff of real-analysis in the proof of this result, which boils down to showing that every (2m)/(2n−1) can be written as some k/(2i−1)" who were you talking to? God? If you are commenting on my post directly after I posted it, it is implied you are talking to me. Moreover, you had to trace this post from the other one I made. Stop being a e-bully. Take a chill pill, relax.
Apr
2
accepted Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
Apr
2
comment Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
@Did: I did not yell at you. Do not take usage of syntax to entail tone. I capitalized for I was too lazy to italicize them. I know this is not my page, but the way you were addressing the issue was not conducive to the purposes at hand. If you are less abrasive, may be people will listen to you. Read again what you wrote. Think about what you said. Introspect. You said there is not a whiff of real-analysis in the proof. What do mean by a whiff of real analysis? Moreover dynamical systems pervade almost all aspects of mathematics. I am looking at it from analysis, and I tagged it. Done deal.
Mar
31
comment Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
@julien: Can we do without Euler's function? Also, how did the author arrive at the periodic points being of the form $x- \frac {i}{2^{n-1}}$, for I could not see it. I got $ x- \frac{i}{2^n-1}$. Any ideas on that? I just wish I had a more fleshed out version of it. I can follow the logic, but am failing to produce the algebraic expressions.
Mar
31
comment Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
As I mentioned before, this IS from a real analysis text book which deals slightly with Dynamical Systems. If you have a chauvinist viewpoint of what REAL ANALYSIS is, please keep it to yourself, and I say it very respectfully. I just do not agree with you, and will keep on doing so. So if you would kindly not drop in to every post I make, it will be much appreciated.
Mar
31
asked Tent map: show that $x$ is a periodic point IFF it is a rational number of the form $\frac {m}{p}$ where $m$ is even and $p$ is odd
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
And there aren't any other periodic points?
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
Knowing you, I highly doubt the part "of not being able to help"!
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
Awesome! Also, not related to current problem, I have two other questions posted. Would you mind taking a look at them? math.stackexchange.com/questions/346791/… math.stackexchange.com/questions/346684/…
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
can I do the following? Let $f(0)= x+1/4$ when $x= 0, 1/4$ and let $f= 0$ for everything else. Won't that work?
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
thanks a lot Brian! Just so that I am clear, you have given, not one, but two examples, am I right? What is the $w$ in the first example? A natural number I presume? Also, why was there a need to make is less than $2^w$? Moreover, I am having a harder time understanding the fourth piecewise in the first example, where you say $x= x_{\xi+1}$ if $x$ is not $x_0,x_1,x_2$. Can I visualize a circle of unit circumference when I try to visualize your functions? I am reading the paper listed and will get back with any questions.
Mar
30
comment Dynamical Systems problem — a function of ONLY period 3
Yes, I think you are right. We cannot have examples like this. What part of the question, do you think should be changed to avoid this? I am just having a hard time dealing with this thing. So an elaboration on the motivation of any future examples will be much appreciated.