# Landyn

UToronto

 Jul 2 awarded Curious May 8 awarded Popular Question Apr 11 awarded Yearling Apr 11 awarded Yearling May 7 awarded Tumbleweed Apr 30 accepted Constructing a Measure from a Function Apr 30 revised Image of Thom Class under Sequence of Maps?added 425 characters in body Apr 30 asked Image of Thom Class under Sequence of Maps? Dec 14 accepted Relationship between the $2$-plane bundles over $S^2$ and $\mathbb{Z}$ Dec 1 accepted Periodic Solutions for a System Nov 30 comment Periodic Solutions for a SystemThat certainly makes a lot more sense now. Is there a way from that new system to get our periodic solutions? I'm probably missing something easy here, but I'm a bit forgetful on how to solve it. Nov 30 revised Periodic Solutions for a Systemadded 57 characters in body Nov 30 asked Periodic Solutions for a System Nov 15 comment Constructing a Measure from a FunctionThanks for the clear explanation! That made perfect sense. Nov 15 comment Constructing a Measure from a FunctionOther than using my "interval jumping argument", what's a clearer way to explain that $G_N(x)=\sum_{n=1}^N a_n1_{[c_n,\infty)}(x)$ is right-continuous? It seems that when I try to explain that this is right-continuous, it uses the same logic as showing that the desired function is right-continuous in the first place. I am a fan of that clever use of the indicator function though! Nov 15 comment Constructing a Measure from a FunctionActually, it does seem this argument is still valid. I can just replace $c_{n+1}$ with the condition that it holds for every $c_i>c_n$. That is, the function remains constant for all $x$ where $c_n\leq xc_n$. Then the constant interval would jump to another when $x$ reaches one of these $c_i$'s. Nov 15 revised Constructing a Measure from a Functionadded 46 characters in body Nov 15 comment Constructing a Measure from a FunctionNote that the function/summation remains constant for all $x$ where $c_n\leq x < c_{n+1}$. It then "jumps" to the next interval when $x=c_{n+1}$. That is, the function is basically just intervals jumping to the next, where each interval is closed on the left. (as in en.wikipedia.org/wiki/File:Right-continuous.svg) Actually, I'm not too sure if this argument works because I'm assuming that the $c_n$'s are non-decreasing. Could I somehow build an analogous argument by re-ordering the $c_n$'s or doing something similar? Nov 15 revised Constructing a Measure from a Functionadded 37 characters in body Nov 15 asked Constructing a Measure from a Function