User Conifold

48 votes

Why doesn't mathematical induction work backwards or with increments other than $1$?

answered May 28, 2014 at 0:30

46 votes

Big list: books where we "...start from a mathematically amorphous problem and combine ideas from sources to produce new mathematics..."

answered Jun 11, 2014 at 0:26

33 votes

Accepted

Do all continuous real-valued functions determine the topology?

answered Mar 30, 2016 at 3:11

32 votes

Accepted

Is complex analysis more "real" than real analysis?

answered Jun 24, 2014 at 22:40

29 votes

Accepted

What does "extension" mean in the Axiom of extension

answered Jun 29, 2014 at 23:52

19 votes

Accepted

Book series like AMS' Student Mathematical Library?

answered Jul 10, 2014 at 23:52

17 votes

What are some examples of "non-logical theorems" proven by Logic?

answered Jul 29, 2014 at 0:12

16 votes

Accepted

What distinguishes weak and strong convergence of bounded linear operator in Banach spaces?

answered May 15, 2017 at 21:29

16 votes

Accepted

Is there a closed form expression for the sum of all the proper divisors of an integer?

answered Jun 21, 2014 at 0:20

15 votes

Accepted

Why integration operator has no eigen values?

answered Jun 19, 2014 at 21:11

14 votes

How to show that $\pi^\pi$ is not a integer?

answered Jun 22, 2019 at 7:37

11 votes

Why can bases of number systems not be rational numbers?

answered Jun 6, 2017 at 4:47

11 votes

Accepted

Convergence of the sequence $\frac{1}{e^k \sin{k}}$

answered Aug 18, 2014 at 1:20

11 votes

What is the flaw in this proof that all triangles are isosceles?

answered Sep 4, 2014 at 0:18

11 votes

Accepted

What is a generally accepted definition of "curve" in mathematics?

answered Nov 12, 2019 at 1:10

10 votes

Accepted

Modern research into Grassman's "theory of forms"?

answered Jun 6, 2014 at 0:31

10 votes

Accepted

Structure on $\mathbb{R}$ such that homomorphisms $\mathbb{R} \to \mathbb{R}$ are exactly polynomials?

answered Oct 1, 2021 at 11:16

9 votes

Accepted

What exactly does a Möbius transformation do?

answered Jun 5, 2014 at 0:40

9 votes

an example of a continuous bijection which is not a homeomorphism

answered Jul 27, 2014 at 0:28

8 votes

Dual norm intuition

answered Aug 19, 2014 at 23:04

8 votes

Accepted

Show that $A^4=A^2$ for an adjacency matrix with spectral radius $\leq1$

answered Dec 18, 2019 at 0:50

7 votes

Accepted

Is there an easy way to find the sign of the determinant of an orthogonal matrix?

answered Aug 17, 2014 at 21:55

7 votes

Accepted

What is the solution to the Dido isoperimetric problem when the length is longer than the half-circle?

answered Apr 13, 2017 at 18:03

7 votes

Accepted

Do the centers of mass of the whole $n$-sphere and its half coincide when $n \to \infty$?

answered Jul 17, 2014 at 21:14

7 votes

Polygons with equal area and perimeter but different number of sides?

answered Jul 25, 2014 at 0:22

6 votes

Accepted

What is the dual space in the strong operator topology?

answered Jun 10, 2014 at 23:41

6 votes

How to differentiate $\lim\limits_{n\to\infty}\underbrace{x^{x^{x^{...}}}}_{n\text{ times}}$?

answered Jul 15, 2014 at 23:02

6 votes

Properties that hold almost everywhere

answered Jun 3, 2014 at 21:58

6 votes

What Does it Really Mean to Have Different Kinds of Infinities?

answered May 23, 2014 at 2:11

6 votes

Accepted

What is the general form of linear operators on continuous functions?

answered Sep 23, 2014 at 1:51

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177 Answers

Why doesn't mathematical induction work backwards or with increments other than $1$?

Big list: books where we "...start from a mathematically amorphous problem and combine ideas from sources to produce new mathematics..."

Do all continuous real-valued functions determine the topology?

Is complex analysis more "real" than real analysis?

What does "extension" mean in the Axiom of extension

Book series like AMS' Student Mathematical Library?

What are some examples of "non-logical theorems" proven by Logic?

What distinguishes weak and strong convergence of bounded linear operator in Banach spaces?

Is there a closed form expression for the sum of all the proper divisors of an integer?

Why integration operator has no eigen values?

How to show that $\pi^\pi$ is not a integer?

Why can bases of number systems not be rational numbers?

Convergence of the sequence $\frac{1}{e^k \sin{k}}$

What is the flaw in this proof that all triangles are isosceles?

What is a generally accepted definition of "curve" in mathematics?

Modern research into Grassman's "theory of forms"?

Structure on $\mathbb{R}$ such that homomorphisms $\mathbb{R} \to \mathbb{R}$ are exactly polynomials?

What exactly does a Möbius transformation do?

an example of a continuous bijection which is not a homeomorphism

Dual norm intuition

Show that $A^4=A^2$ for an adjacency matrix with spectral radius $\leq1$

Is there an easy way to find the sign of the determinant of an orthogonal matrix?

What is the solution to the Dido isoperimetric problem when the length is longer than the half-circle?

Do the centers of mass of the whole $n$-sphere and its half coincide when $n \to \infty$?

Polygons with equal area and perimeter but different number of sides?

What is the dual space in the strong operator topology?

How to differentiate $\lim\limits_{n\to\infty}\underbrace{x^{x^{x^{...}}}}_{n\text{ times}}$?

Properties that hold almost everywhere

What Does it Really Mean to Have Different Kinds of Infinities?

What is the general form of linear operators on continuous functions?