MathematicsStudent1122

Vancouver, British Columbia, Canada

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Elementary proof that the derivative of a real function is continuous somewhere

real-analysis derivatives asked Sep 22, 2016 at 18:59

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44 votes

Why are algebraic structures preserved under intersection but not union?

abstract-algebra category-theory big-picture asked Dec 14, 2018 at 8:33

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43 votes

Why do we study real numbers?

real-analysis soft-question asked Apr 28, 2016 at 3:09

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37 votes

Are older mathematics textbooks still "valid"?

soft-question asked Jun 22, 2015 at 4:27

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27 votes

How much can we rearrange a series?

real-analysis sequences-and-series asked Dec 13, 2018 at 7:25

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26 votes

A variant of the Knight's tour problem

discrete-mathematics graph-theory chessboard knight-tours asked Dec 25, 2016 at 10:28

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25 votes

How rigorous are pictorial proofs?

elementary-set-theory soft-question asked Aug 6, 2016 at 6:40

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25 votes

How badly-behaved are the derivatives of non-analytic smooth functions?

real-analysis derivatives analyticity asked Jul 17, 2017 at 9:47

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25 votes

Why does the US insist on a two-state solution despite both parties being uninterested?

united-states armed-conflict israel palestine self-determination asked Jan 21 at 1:07

politics.stackexchange.com

23 votes

Why would a state retaliate to a nuclear strike if the consequences could be human extinction?

military political-theory nuclear-weapons game-theory strategic-ambiguity asked Jan 21 at 12:28

politics.stackexchange.com

Top Answers

How can I address a student systematically boosting their grades by filing frivolous complaints?

academia.stackexchange.com

Why do we call complex numbers “numbers” but we don’t consider 2-vectors numbers?

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Why do we ask for *absolute* convergence of a series to define the mean of a discrete random variable?

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Which one is the variable? (Derivatives)

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Do rational functions eventually have monotonic derivatives?

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A question from 1989 leningrad mathematical olympiad

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Is $\int_0^2 f(x) dx$ defined for $f(x)=x,x \ne 1$?

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Can we express any positive real number with arbitrary precision using a ratio of two prime numbers?

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How many hostages has Israel freed through direct military operations (rather than negotiations) after Oct. 7?

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$\frac{0}{0}$ Indeterminate

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Why do extraneous solutions exist?

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Does a PhD from US carry *more academic value* as compared to one in India even if the research skill set developed is same?

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Why does the widespread erroneous definition of "irrational number" persist without being taught?

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A very short proof of $e$ is irrational

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Political statements about Israeli - Palestinian conflict not being solvable in the foreseeable future?

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Continuity of Derivative at a point.

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$\lim_{x \rightarrow 0} f'(x) = L$ exists, does it follow that $f'(0)$ exists?

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In the range $0\leq x \lt 2\pi$ the equation has how many solutions $\sin^8 {x}+\cos^6 {x}=1$

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Prove that $4$ divides $3^{2m+1} - 3$

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Is Area of a circle always irrational

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Have there ever been any programs or other efforts from Israel just to grant a citizenship for "safe" Gazans?

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Finding roots of $\sin(x)=\sin(ax)$ without resorting to complex analysis

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Let $f$ be a real uniformly continuous function on the bounded set $E$ in $\mathbb{R^1}$. Prove that $f$ is bounded on $E$

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If $f(1)=f(0)$, then show that $|f'(x)|\leq 1$ for all $x\in [0,1]$

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A bounded sequence cannot be divergent. True or false

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Intuition behind the formula for $\sum i^{2}$

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Taking the derivative inside the integral (Liebniz Rule for differentiation under the integral sign)

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Why is $1^{\infty}$ undefined when the limit of it is $\operatorname e$?

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Does, $\lim\limits_{x \to +\infty } f'(x) = + \infty \Leftrightarrow \lim\limits_{x \to +\infty } \frac{{f(x)}}{x} = + \infty $?

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About the limit $\mathop {\lim }\limits_{n \to \infty } \frac{1}{n \cdot \cos (n)} $

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