Hagen von Eitzen
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397/400 score
 Apr 25 comment $\sup\limits_{t>0}[\frac{g(t)}{\sup\limits_{t \beta$ or not? deleted 1 character in body Apr 25 comment The $\cos(\alpha-\beta)$ formula always need $\alpha > \beta$ or not? @user3270418 Where do I show the sum formula? I read $\cos(\alpha-\beta)$ in my post. Apr 25 answered Significance of derivative in finding square free decomposition Apr 25 answered Deterministic finite automaton parity bit question Apr 25 comment The $\cos(\alpha-\beta)$ formula always need $\alpha > \beta$ or not? Are you sure your argument leads to a "No"? - Oh, you seemingly answered the title question, which is the opposite of the body question ... Apr 25 comment The $\cos(\alpha-\beta)$ formula always need $\alpha > \beta$ or not? @user3270418 No, I mean what I wrote. For $\alpha=\beta=60^\circ$, we have $\cos(60^\circ)^2+\sin(60^\circ)^2=(1/2)^2+(\sqrt 3/2)^2=1/4+3/4=1$ Apr 25 answered The $\cos(\alpha-\beta)$ formula always need $\alpha > \beta$ or not? Apr 24 answered Show that there is a step function $g$ over $[a,b]$ Apr 24 comment Is there a way to write an infinite set that contains only irrational numbers without integer multiples? In the same spirit as the last, $\{\,q\sqrt 2\mid q\in \Bbb Q\cap [1,2)\,\}$ Apr 24 comment The maximum of the absolute value of a real-valued function You could simply use that $\sup\bigcup_{i\in I}A_i =\sup_{i\in I}sup A_i$ Apr 24 answered Probability of seeing a headlight getting switched on Apr 24 comment Time complexity for loops @Manuel kis declared as int, hence can only advance by intsteps. As you used a C-like syntax, I assumed C-like semantics. And there the conversion of 0.01 * 99 to an int produces 0. Apr 24 comment Equivalence relation and equivalence classes given function and relation As a matter of fact, this is the easiest and also only example of equivalence relations Apr 24 answered Question to the proof of: Let $A$ be a finite abelian group and let $g \in A$. Suppose that $\chi(g)=1$ for every $\chi \in \hat A$. Then $g=1$. Apr 24 answered Time complexity for loops Apr 24 comment Time complexity for loops We are interested in the behaviour as $n\to\infty$, but note that the loop will not terminate for $2\le n\le 9$ (and the case $n=10$ may depend on floating point precision). - Same argument for the inner loop if $n\le 99$