User 5xum

118 votes

Accepted

Why does the Cauchy-Schwarz Inequality even have a name?

answered Mar 3, 2016 at 10:31

81 votes

Accepted

What is an intuitive approach to solving $\lim_{n\rightarrow\infty}\biggl(\frac{1}{n^2} + \frac{2}{n^2} + \frac{3}{n^2}+\dots+\frac{n}{n^2}\biggr)$?

calculus algebra-precalculus limits limits-without-lhopital

answered Jul 27, 2017 at 9:29

80 votes

Misunderstanding of percentage increase

percentages

answered Aug 28, 2018 at 7:11

76 votes

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Must eigenvalues be numbers?

linear-algebra abstract-algebra matrices soft-question eigenvalues-eigenvectors

answered Dec 9, 2015 at 17:48

71 votes

I found a new way of calculating pi,is that a great deal?

geometry circles pi

answered Dec 29, 2016 at 13:14

71 votes

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What am I doing wrong solving this system of equations?

linear-algebra systems-of-equations

answered Nov 7, 2018 at 10:07

63 votes

Difference between continuity and uniform continuity

real-analysis self-learning

answered Jan 27, 2014 at 10:09

58 votes

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When writing proofs, is logical notation a crutch?

logic soft-question formal-proofs

answered Jan 21, 2016 at 14:53

55 votes

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Find the value of $\sqrt{10\sqrt{10\sqrt{10...}}}$

limits proof-verification radicals infinite-product nested-radicals

answered Oct 2, 2014 at 8:49

52 votes

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Six throws, only two distinct numbers: coincidence?

probability dice

answered Oct 28, 2014 at 9:02

45 votes

Why won't a series converge if the limit of the sequence is 0?

limits convergence-divergence divergent-series

answered Oct 19, 2016 at 12:50

43 votes

Is $\{\varnothing\}\in\{\varnothing,\{\varnothing\}\}$ true?

elementary-set-theory

answered Oct 2, 2017 at 9:59

40 votes

A good way to retain mathematical understanding?

soft-question self-learning

answered Apr 10, 2014 at 12:39

38 votes

What's wrong with this proof of the infinity of primes?

elementary-number-theory elementary-set-theory

answered Aug 6, 2014 at 6:08

36 votes

Accepted

Are all continuous one one functions differentiable?

calculus functions derivatives

answered Apr 14, 2015 at 8:45

34 votes

How are the known digits of $\pi$ guaranteed?

pi decimal-expansion

answered Nov 13, 2018 at 10:00

30 votes

Is the empty set linearly independent or linearly dependent?

linear-algebra definition

answered Jun 4, 2016 at 19:04

30 votes

Is there more to explain why a hypothesis doesn't hold, rather than that it arrives at a contradiction?

proof-writing linear-transformations

answered Sep 17, 2015 at 12:00

29 votes

Is this alternative notion of continuity in metric spaces weaker than, or equivalent to the usual one?

real-analysis analysis continuity definition

answered Nov 30, 2015 at 19:37

27 votes

Do $3/8$ (37.5%) of Quadratics Have No $x$-Intercepts?

roots graphing-functions quadratics

answered Jul 29, 2019 at 7:35

26 votes

Accepted

Inverted induction

induction

answered Apr 17, 2015 at 6:48

26 votes

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Empty Set $\{\}$ is the Only Basis of the Zero Vector Space $\{0\}$

linear-algebra

answered Aug 31, 2016 at 11:58

25 votes

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Can we prove that all equations can be solved via complex numbers?

complex-analysis

answered May 5, 2014 at 7:03

25 votes

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Subtraction of a negative number

arithmetic

answered Jun 30, 2014 at 8:57

25 votes

Are independent variables really independent?

multivariable-calculus partial-derivative

answered Oct 14, 2016 at 12:43

23 votes

Is the arc length always irrational between two rational points?

calculus irrational-numbers pi arc-length

answered Jul 11, 2019 at 9:16

23 votes

Accepted

Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule?

calculus limits limits-without-lhopital

answered Nov 17, 2015 at 23:12

23 votes

How to make sense out of the $\epsilon-\delta$ definition of a limit?

calculus limits intuition epsilon-delta motivation

answered Oct 20, 2015 at 21:12

22 votes

Accepted

Is matrix transpose a linear transformation?

linear-algebra matrices linear-transformations

answered Feb 11, 2015 at 14:58

22 votes

Accepted

Is there a way to denote the calculation $1+2+3+\dots+n$?

notation summation terminology

answered Apr 4, 2014 at 7:32

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3,847 Answers

Why does the Cauchy-Schwarz Inequality even have a name?

What is an intuitive approach to solving $\lim_{n\rightarrow\infty}\biggl(\frac{1}{n^2} + \frac{2}{n^2} + \frac{3}{n^2}+\dots+\frac{n}{n^2}\biggr)$?

Misunderstanding of percentage increase

Must eigenvalues be numbers?

I found a new way of calculating pi,is that a great deal?

What am I doing wrong solving this system of equations?

Difference between continuity and uniform continuity

When writing proofs, is logical notation a crutch?

Find the value of $\sqrt{10\sqrt{10\sqrt{10...}}}$

Six throws, only two distinct numbers: coincidence?

Why won't a series converge if the limit of the sequence is 0?

Is $\{\varnothing\}\in\{\varnothing,\{\varnothing\}\}$ true?

A good way to retain mathematical understanding?

What's wrong with this proof of the infinity of primes?

Are all continuous one one functions differentiable?

How are the known digits of $\pi$ guaranteed?

Is the empty set linearly independent or linearly dependent?

Is there more to explain why a hypothesis doesn't hold, rather than that it arrives at a contradiction?

Is this alternative notion of continuity in metric spaces weaker than, or equivalent to the usual one?

Do $3/8$ (37.5%) of Quadratics Have No $x$-Intercepts?

Inverted induction

Empty Set $\{\}$ is the Only Basis of the Zero Vector Space $\{0\}$

Can we prove that all equations can be solved via complex numbers?

Subtraction of a negative number

Are independent variables really independent?

Is the arc length always irrational between two rational points?

Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule?

How to make sense out of the $\epsilon-\delta$ definition of a limit?

Is matrix transpose a linear transformation?

Is there a way to denote the calculation $1+2+3+\dots+n$?