Lior B-S
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 Mar11 awarded Yearling Dec10 awarded Excavator Oct31 awarded Notable Question Sep9 comment Morse functions dense in a trigonometric polynomial space With polynomials, one proves that for any $f(x)$, and for almost all scalar $a$, $f(x)+a x$ is Morse. Maybe you can try to imitate it here? (I think that with polynomials it is allowed that x is a tuple of variables, a is a tuple of scalars and ax is the scalar product, but I am not sure) Aug14 comment What is the non-trivial, general solution of these equal ratios? I would suggest you editing the question... Aug14 comment just a question Troy it is isomorphic as vector spaces. There is no multiplication! Aug14 comment What is the non-trivial, general solution of these equal ratios? What about $a=0$, $b=7$, $c=7$? Do you need all solutions? Aug13 answered Help Determining Degree of a Field Extension Aug13 revised Question about calculating the degree of a finite field extension. added 355 characters in body Aug13 answered Question about calculating the degree of a finite field extension. Jul30 comment N is a normal subgroup of G if $aNa^{-1} \subset N$ for all $a ∈ G$. Prove that in that case, $aNa^{-1} = N$. Weirdness is a matter of whether you are used to it or not. In any rate you can write $N^{g^{-1}}$. Jul30 comment N is a normal subgroup of G if $aNa^{-1} \subset N$ for all $a ∈ G$. Prove that in that case, $aNa^{-1} = N$. @blue It does matter: $N^g=g^{-1} N g$, since it is a right action. If you want a left action of $G$ on the conjugates of $N$, then you take the other one $^gN=N^{g^{-1}} = g N g^{-1}$. Jul30 comment $\lim_{\theta\to0}\frac{\sin\theta}{\theta}=1$, $\theta$ must be in radians. But $x$ can be in degree for $\lim_{x\to\pm\infty}\frac{\sin x}{x}=0$? I find it a bit strange, from the point of view of meta-mathematics, to consider $\sin x/x$ where $x$ is in degrees. Because, intuitively, $\sin x$ is length, so the units of $\sin x/x$ will be length/degrees, very strange to me. However, if $x$ is in radians, then $x$ is also length (the length of the arc) and so $\sin x/x$ is ratio between to length, and this does make sense to me... Jul29 answered Galois extension preserves irreducibility Jul28 comment Number of zero digits in factorials This heuristic reasoning can be made into a theorem if we knew that $\log_{10}(n!)$ is equi-distributed modulo $1$. The latter seems to follow from van der Corput's inequalities, I don't know how yet, but see