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 Oct 19 revised Number of songs sung. Correct Grammar and Removed all Caps. Oct 5 revised Prove that exists a unique subgroup $H$ of $G$ has order of $n$. Corrected a minor grammatical error in the title and the text and tagged the question with abstract algebra tag to better mirror the background. Sep 28 revised Cycling Digits puzzle added 134 characters in body Sep 28 revised Cycling Digits puzzle added 18 characters in body Sep 28 revised Cycling Digits puzzle added 18 characters in body Sep 28 revised Cycling Digits puzzle added 631 characters in body Sep 28 revised Cycling Digits puzzle added 631 characters in body Sep 28 revised Combinatorial argument to prove the recurrence relation for number of derangements added 40 characters in body Sep 25 revised In what spaces does the Bolzano-Weierstrass theorem hold? Changed the complete nature of the answer to reflect the comments. Sep 25 revised In what spaces does the Bolzano-Weierstrass theorem hold? added 169 characters in body Sep 25 revised In what spaces does the Bolzano-Weierstrass theorem hold? added 169 characters in body Aug 24 revised Continuous solutions of $f(x) = \lambda \int_0^{\pi/2} \cos({x-y)}f(y)\,dy$ added 86 characters in body Aug 24 revised Approximation of elements in arithmetic progressions by logarithms of integers deleted 346 characters in body Aug 24 revised Approximation of elements in arithmetic progressions by logarithms of integers added 264 characters in body Aug 8 revised How many circles are needed to cover a rectangle? added 61 characters in body Aug 4 revised All possibilities of seven numbers in ascending order? Made links pretty. and added LaTeX. Aug 2 revised Solving for $v$ in $v'(t) + R(t)\cdot v^{2/3}=J(t)$ Changed the hyperlinks to make it easy to read without taking the focus away. Jul 28 revised Methods to solve differential equations added 755 characters in body Jul 28 revised Methods to solve differential equations added 755 characters in body Jul 26 revised Approximate solution for the root of a non-linear function added 10 characters in body