beginner
Reputation
203
Next privilege 250 Rep.
 May 17 answered Limit of $\lim_{x \to 0}\left (x\cdot \sin\left(\dfrac{1}{x}\right)\right)$ is $0$ or $1$? May 17 accepted Two random variable with the same variance and mean May 17 comment Two random variable with the same variance and mean is the identity $E(XY|X)=XE(Y|X)$ easy to prove? May 17 asked Two random variable with the same variance and mean May 15 comment length of sum of two submodule @rschwieb: But I only prove the cases $K \cap N =\{0\}$ May 15 comment length of sum of two submodule thanks BenjaLim, i will try work on it. But could we prove this without exact sequence concept, instead of directly from definition of composition series? May 15 accepted length of sum of two submodule May 15 comment length of sum of two submodule How to show that l((K+N)/N)=l(K+N)-l(N)? May 15 asked length of sum of two submodule May 12 accepted Interpretation of dP in Radon-Nikodym Theorem May 12 comment Length of composition series and injective homomorphisms OK, i get it. The composition series of $N$ is the refinement of the series $f(M_0)\subset ... \subset f(M_n)$, so $l(N) \geq n$. May 12 accepted Length of composition series and injective homomorphisms May 12 comment Length of composition series and injective homomorphisms @user1. I have explain it in my solution. Read carefully before judging! May 12 comment Length of composition series and injective homomorphisms With your argument could we conclude that $l(N)=l(M)$? Since every module have the same length of composition series May 12 comment Length of composition series and injective homomorphisms @user1: No, Since M isomorphic to Im f and Im f is submodule of N we have $l(M)=l(im f)\leq l(N)$ May 12 asked Length of composition series and injective homomorphisms Apr 27 asked Interpretation of dP in Radon-Nikodym Theorem Apr 15 comment Integral of bivariate normal distribution function with respect to itself Could you prove this using elementary calculus like substitution rule and etc Apr 15 asked Integral of bivariate normal distribution function with respect to itself Apr 4 revised Independence of $n$ random variables edited body