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 53m revised Existence and uniqueness theorems for ODE. Log-Lipschitz regularity. added 3 characters in body; edited tags Apr17 revised Proof on the inequality involving matrix splitting and trace operator Language problems correction. Apr15 revised Evaluating: $I_1 = \sin^{-1} \left(\sqrt{\frac{x}{x+a}}\;\right)$ added 10 characters in body; edited title Apr5 revised If $f$ is a continuous function such that $|f(x+y)-f(x)-f(y)|$ is bounded and $f(n)=o(n)$, then $f$ is bounded added 55 characters in body Apr4 revised When a function contains a sequence, and how to find the function's limit? better clarification of the equalities used Apr4 revised If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit deleted 310 characters in body Apr4 revised If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit added 80 characters in body Apr4 revised If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit added 152 characters in body Apr4 revised If $\lim_{x\to0} f(x)+g(x)$ and $\lim_{x\to0} f(x)g(x)$ exist simultaneously, are there any $f(x)$ and $g(x)$ that do not have limit added 124 characters in body Apr2 revised Number of circuits that surround the square. added 4 characters in body Apr2 revised Number of circuits that surround the square. edited body Apr2 revised Number of circuits that surround the square. update figure Mar31 revised Intuition on Wald's equation without using the optional stopping theorem. deleted 84 characters in body Mar27 revised Why the $\nabla f(x)$ in the direction orthogonal to $f(x)$? improviment format Mar22 revised Interchanging supremum and integral (another question) improviment on LaTeX codes. Mar12 revised Proof of Banach's homeomorphism theorem without the contraction map principle. added 12 characters in body Mar12 revised Proof of Banach's homeomorphism theorem without the contraction map principle. edited body Mar12 revised Inverse Function Theorem. On the classical method of proof. added 37 characters in body Mar12 revised Inverse Function Theorem. On the classical method of proof. Tag's and references. Mar6 revised Inverse Function Theorem. On the classical method of proof. added 3 characters in body