User Steven Alexis Gregory

59 votes

Is it possible to have three real numbers that have both their sum and product equal to $1$?

answered Dec 21, 2016 at 16:38

56 votes

Where does the gap come from?

answered Apr 27, 2016 at 0:38

46 votes

Accepted

Is this $\gcd(0, 0) = 0$ a wrong belief in mathematics or it is true by convention?

answered Aug 7, 2015 at 14:53

44 votes

Do equal angles necessarily mean a polygon is regular?

answered Jun 21, 2019 at 16:11

41 votes

Naive Set Theory by Halmos is confusing to a layman like me

answered Apr 23, 2015 at 15:10

33 votes

Accepted

Why does expanding $\lim_{p \rightarrow 0}\frac{1-p-(1-p)^3}{1-(1-p)^3}$ give a different limit from just substituting?

answered Mar 1, 2018 at 6:43

30 votes

How many ways can I go from 1 to 10 in the following diagram?

answered Aug 27, 2019 at 4:48

27 votes

$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?

answered Nov 21, 2018 at 17:57

27 votes

why do we use cosine as the expression of vector dot product?

answered Jan 15, 2019 at 23:00

24 votes

How do you convince someone that parallel lines can touch/meet?

answered Jan 9, 2017 at 0:57

21 votes

Accepted

What are the methods of dividing numbers to get weird values like $16\over 17$ without a calculator?

answered Sep 24, 2015 at 2:55

19 votes

Japanese Temple Problem From 1844

answered Nov 23, 2018 at 14:50

18 votes

Calculate $\frac{1}{\sin(x)} +\frac{1}{\cos(x)}$ if $\sin(x)+\cos(x)=\frac{7}{5}$

answered Feb 26, 2016 at 15:36

18 votes

Mathematical Grammar, Converges to or Converges at, or both?

answered Mar 1, 2017 at 3:54

17 votes

The cube of any number not a multiple of $7$, will equal one more or one less than a multiple of $7$

answered Jun 30, 2016 at 21:29

16 votes

Why isn't reflexivity redundant in the definition of equivalence relation?

answered Nov 5, 2017 at 23:55

15 votes

Accepted

I don't understand what a "free group" is!

answered Apr 10, 2016 at 19:23

15 votes

Why doesn't induction extend to infinity? (re: Fourier series)

answered Mar 17, 2020 at 5:11

15 votes

Is it possible to have 2 different but equal size real number sets that have the same mean and standard deviation?

answered Jun 7, 2019 at 1:35

14 votes

Does a zero eigenvalue mean that the matrix is not invertible regardless of its diagonalizability?

answered Dec 21, 2015 at 2:45

14 votes

Why are There No "Triernions" (3-dimensional analogue of complex numbers / quaternions)?

answered May 15, 2016 at 7:41

14 votes

Smallest Possible Power

answered Jul 5, 2017 at 6:09

14 votes

Is the blue area greater than the red area?

answered May 16, 2018 at 3:16

13 votes

Accepted

How does the Cantor's diagonal argument that $(0,1)$ is uncountable deals with the fact some real numbers have two different decimal expansions?

answered Mar 23, 2018 at 6:26

13 votes

Proof that a Combination is an integer

answered Jun 6, 2015 at 2:44

12 votes

Tricky Rectangle Problem

answered May 12, 2015 at 20:47

12 votes

Is empty set element of every set if it is subset of every set?

answered Feb 23, 2016 at 2:24

12 votes

Highschool Exam Question About Cube Factoring

answered May 7, 2016 at 12:15

11 votes

Are kernels unique to homomorphisms?

answered Dec 5, 2016 at 5:17

11 votes

How do you revise material that you already half-know, without getting bored and demotivated?

answered Aug 8, 2017 at 20:32

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1,406 Answers

Is it possible to have three real numbers that have both their sum and product equal to $1$?

Where does the gap come from?

Is this $\gcd(0, 0) = 0$ a wrong belief in mathematics or it is true by convention?

Do equal angles necessarily mean a polygon is regular?

Naive Set Theory by Halmos is confusing to a layman like me

Why does expanding $\lim_{p \rightarrow 0}\frac{1-p-(1-p)^3}{1-(1-p)^3}$ give a different limit from just substituting?

How many ways can I go from 1 to 10 in the following diagram?

$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?

why do we use cosine as the expression of vector dot product?

How do you convince someone that parallel lines can touch/meet?

What are the methods of dividing numbers to get weird values like $16\over 17$ without a calculator?

Japanese Temple Problem From 1844

Calculate $\frac{1}{\sin(x)} +\frac{1}{\cos(x)}$ if $\sin(x)+\cos(x)=\frac{7}{5}$

Mathematical Grammar, Converges to or Converges at, or both?

The cube of any number not a multiple of $7$, will equal one more or one less than a multiple of $7$

Why isn't reflexivity redundant in the definition of equivalence relation?

I don't understand what a "free group" is!

Why doesn't induction extend to infinity? (re: Fourier series)

Is it possible to have 2 different but equal size real number sets that have the same mean and standard deviation?

Does a zero eigenvalue mean that the matrix is not invertible regardless of its diagonalizability?

Why are There No "Triernions" (3-dimensional analogue of complex numbers / quaternions)?

Smallest Possible Power

Is the blue area greater than the red area?

How does the Cantor's diagonal argument that $(0,1)$ is uncountable deals with the fact some real numbers have two different decimal expansions?

Proof that a Combination is an integer

Tricky Rectangle Problem

Is empty set element of every set if it is subset of every set?

Highschool Exam Question About Cube Factoring

Are kernels unique to homomorphisms?

How do you revise material that you already half-know, without getting bored and demotivated?