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 Apr 23 revised Induce measure between topological spaces. added 3 characters in body Apr 23 revised Distance from a point to empty set. TeX Apr 20 revised Fixed point Exercise on a compact set added 3 characters in body Apr 9 revised If $f'$ tends to a positive limit as $x$ approaches infinity, then $f$ approaches infinity Learnt some english. So used it. Mar 2 revised Is a prime factor of a number always less than its square root? added 6 characters in body Feb 17 revised Chapter 3 Hoffman Kunze Linear Algebra exercise 12 added 11 characters in body Dec 12 revised Lagrange's identity in the complex form added 3 characters in body Oct 23 revised Prove $\ker(T^n)=\ker(T^{n+1})$ and $\operatorname{range}(T^n)=\operatorname{range}(T^{n+1}).$ deleted 1 character in body Sep 12 revised How to show $\lim_{n \to \infty} a_n = \frac{ [x] + [2x] + [3x] + \dotsb + [nx] }{n^2} = x/2$? added 1 character in body Aug 26 revised What has “$\delta$ Gromov hyperbolic space” got to do with $\mathbb{H}_n$? Title Aug 24 revised Can the Intermediate Value Theorem be proved by Heine-Borel Lemma? added 58 characters in body Aug 8 revised Completeness of space of $k$-times differentiable functions from $\Bbb R^n$ to $\Bbb R$ edited title Aug 7 revised Is this proof that $\lim_{n \to \infty} (1+1/n)^n$ exists (1) new, (2) interesting? TeXing. Formatting. Aug 6 revised $A:X \to Y$- linear continuous function, $A\neq 0$ $H=\ker A\implies \exists z \in H^{\bot}: \|z\|=1$ added 2 characters in body; edited title Aug 6 revised Lagrange's identity in the complex form deleted 1 character in body Aug 6 revised Conjugate in Cauchy-Schwarz Inequality for Complex Numbers More descriptive title. Jul 26 revised Is there a proof for the maximum principle without the Cauchy integral theorem? deleted 4 characters in body Jul 26 revised A question about complex integration of $\frac{1}{p(z)}$ added 2 characters in body Jul 25 revised Prove that a subset of a separable set is itself separable Being consistent with earlier notation. Jul 25 revised Prove that a subset of a separable set is itself separable added 327 characters in body