# Thomas Belulovich

Cambridge, MA

math.brown.edu/~thobel

Age: 28

 May 2 awarded Enlightened May 1 awarded Nice Answer Feb 4 awarded Notable Question Aug 5 awarded Yearling Aug 5 awarded Yearling May 19 awarded Custodian May 19 revised If $f:X \to [0,1]$ be an onto continuous map and $\{f^{-1} (y)\}$ is compact then Is $X$ compact?Cleared up unclear language. Apr 23 answered Same Expansion for Different Functions! What's Wrong? Mar 2 revised If $\tan x=\sin x/\cos x$ then what is $\tan 3x$ equal to?fixed typo Dec 9 awarded Caucus Nov 30 revised For $n\times n$ matrices $A,B,$ and $C,$ is it always true that $\mathrm{rank}(ABC)\leq\mathrm{rank}(AC)$?added 80 characters in body Nov 30 answered For $n\times n$ matrices $A,B,$ and $C,$ is it always true that $\mathrm{rank}(ABC)\leq\mathrm{rank}(AC)$? Nov 12 answered The jelly bean box problem Nov 3 awarded Yearling Sep 24 awarded Autobiographer Sep 24 awarded Autobiographer Sep 24 awarded Autobiographer Sep 24 awarded Autobiographer Sep 24 awarded Autobiographer Jul 3 comment Prove that this affine transformation is a translationI expect $\phi(P)P$ is the affine hull (line through) the distinct points $\phi(P)$ and $P$. This is why $\phi$ has to have no fixed points.