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54 votes

Taking a theorem as a definition and proving the original definition as a theorem

answered Sep 27, 2021 at 1:52

31 votes

Is it possible to "get" quaternions without specifically postulating them?

answered Jun 30, 2023 at 15:44

23 votes

Was there a time in mathematics when a counterexample was wrong?

answered May 27, 2021 at 3:59

7 votes

Poincaré recurrence and its implications for statistical physics and the arrow of time

answered Aug 29, 2022 at 19:02

7 votes

Accepted

Smale's view of mathematical artificial intelligence

answered Jun 5, 2023 at 18:54

4 votes

Is there any relation between trace ratio and ratio trace of positive semi-definite matrices?

answered Jan 17, 2021 at 3:21

4 votes

Accepted

Is the underlying set of every renormalization group countable and finite？

answered Nov 23, 2021 at 1:51

4 votes

The origin of the natural base in statistical mechanics

answered Feb 24, 2022 at 5:25

3 votes

Evaluating a sinusoidal series

answered Oct 20, 2023 at 22:03

2 votes

Change of variable and boundary data for Laplace equation

answered Nov 3, 2021 at 0:40

2 votes

Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?

answered May 28, 2021 at 1:35

1 vote

Independence result where probabilistic intuition predicts the wrong answer?

answered Jan 18, 2021 at 23:59

1 vote

Some but not all eigenvectors mutually orthogonal

answered Jun 16 at 2:38

0 votes

Minimal set of functions to characterize a distribution

answered Jan 18, 2023 at 0:23

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14 Answers

Taking a theorem as a definition and proving the original definition as a theorem

Is it possible to "get" quaternions without specifically postulating them?

Was there a time in mathematics when a counterexample was wrong?

Poincaré recurrence and its implications for statistical physics and the arrow of time

Smale's view of mathematical artificial intelligence

Is there any relation between trace ratio and ratio trace of positive semi-definite matrices?

Is the underlying set of every renormalization group countable and finite？

The origin of the natural base in statistical mechanics

Evaluating a sinusoidal series

Change of variable and boundary data for Laplace equation

Are there always more conjugacy classes in the kernel of a morphism to $Z_2$ than not?

Independence result where probabilistic intuition predicts the wrong answer?

Some but not all eigenvectors mutually orthogonal

Minimal set of functions to characterize a distribution