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 Apr 20 revised Kernel and Image of a map added 160 characters in body; edited title Apr 20 reviewed Approve Looking for a Function With Certain Characteristics Apr 15 comment Optimization question related to calculus. @almagest sorry fixed Apr 15 revised Optimization question related to calculus. edited body Apr 15 answered Optimization question related to calculus. Apr 15 revised Optimization question related to calculus. added 8 characters in body Apr 15 revised Finding the area under the given parameters added 10 characters in body; edited tags Apr 15 revised Definition of matrix transformation added 6 characters in body Apr 15 comment Definition of matrix transformation i think so :) that's indeed a common definition Apr 14 revised Is $\mathrm{span}\{v_1,v_2,v_3\}=\mathrm{span}\{v_1+v_2,v_1+v_3,v_2+v_3\}$ if $v_1,v_2,v_3\in V$ a vector space over $\mathbb{Z}_2$? edited body Apr 14 reviewed Approve Is $\mathrm{span}\{v_1,v_2,v_3\}=\mathrm{span}\{v_1+v_2,v_1+v_3,v_2+v_3\}$ if $v_1,v_2,v_3\in V$ a vector space over $\mathbb{Z}_2$? Apr 14 revised Finding conditions on the eigenvalues of a matrix added 1 character in body Apr 14 revised Given values of X , find fractions added 63 characters in body Apr 14 answered Prove that the $c_{n}$ in $\frac{1}{1-z-z^{2}}=\displaystyle\sum_{n=0}^{\infty}c_{n}z^{z}$ satisfy a Fibonacci-like recurrence relation Apr 14 revised Linear Algebra: showing that $\langle x,y\rangle$ is an inner product on Rn. edited tags Apr 14 comment Linear Algebra: showing that $\langle x,y\rangle$ is an inner product on Rn. yes, you got it right Apr 14 comment You can always delete a vertex from a tree $G$ such that the remaining connected components have size at most $|V(G)|/2$. one hunch is try to a proof by induction, possibly deleting a leaf, but not sure if it will help. Apr 14 answered Biased coin toss problem - Understanding a problem correctly Apr 14 answered Eliminating Sine Apr 14 comment What is the domain and range of the sum of two random variables? @Did perhaps i see the difference -- you want to define $S(\omega) = X_1(\omega) + X_2(\omega)$ where all variables map from $\Omega^n$, but each $X_i$ only uses the $i$th coordinate. Why would this make impossible every simple operation? We just defined addition, you can define integration and scalar multiple and everything else analogously -- why does this cause a problem? Please understand, I am not arguing, just asking for clarification for my own education. Thanks