User chausies

44 votes

4 answers

1k views

Paradox: Roots of a polynomial require less information to express than coefficients?

asked Mar 10, 2021 at 7:55

34 votes

2 answers

3k views

Hexagons are best for tiling 2D space in terms of perimeter vs area. What's best for 3D space?

asked Aug 14, 2022 at 0:35

28 votes

1 answer

984 views

Proof that the ratio between the logs of the product and LCM of the Fibonacci numbers converges to $\frac{\pi^2}{6}$

asked Oct 11, 2019 at 22:17

12 votes

1 answer

2k views

Test to determine if a polynomial has only real roots?

asked Mar 7, 2021 at 7:15

9 votes

2 answers

461 views

Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?

asked Jul 24, 2019 at 0:50

7 votes

1 answer

82 views

Solving $c A + I = (\det A) S$

asked Aug 12, 2017 at 0:30

7 votes

2 answers

135 views

At what rate do these common definitions converge to the constant $e=2.718...$?

asked Oct 10, 2019 at 5:46

5 votes

2 answers

276 views

Approximate LCM (Least Common Multiple) of $n$ random $k$-digit numbers

asked Apr 27, 2022 at 5:01

4 votes

1 answer

79 views

Couples are equally likely to have 1 or 2 children. How likely does a randomly chosen person have a sibling?

asked Jan 15, 2021 at 23:13

3 votes

1 answer

256 views

Given any polygon, find the smallest width that it could be squeezed through.

asked Oct 16, 2021 at 19:26

3 votes

0 answers

48 views

Rotating a 3D shape so that it gets heated evenly by a fire

asked Feb 21, 2022 at 10:18

3 votes

0 answers

48 views

Find matrix $S$ such that $diag(S)=d$ and $S^{-1}_{ij}=P_{ij}$ $\forall i \neq j$

asked Mar 25, 2018 at 21:19

3 votes

0 answers

413 views

Can origami math solve polynomial equations of degree greater than 3?

asked Apr 28, 2019 at 10:04

2 votes

1 answer

179 views

Solve $\frac{1}{x} = S x$, an equation that includes an element-wise inverse

asked May 12, 2019 at 2:33

2 votes

1 answer

291 views

Adapting gradient descent for numerical functional optimization?

asked Jul 6, 2018 at 21:54

2 votes

1 answer

345 views

Choosing which points/nodes to interpolate through?

asked Aug 19, 2017 at 2:41

2 votes

0 answers

284 views

How to parameterize the surface of a sphere such that the parameters are symmetric?

asked Aug 30, 2019 at 9:56

2 votes

0 answers

48 views

Is it the case that adjacent odd numbers being prime is statistically independent?

asked Oct 24, 2019 at 22:46

2 votes

0 answers

249 views

Dividing a sphere as evenly as possible

asked Feb 21, 2022 at 11:15

2 votes

1 answer

101 views

Rough average length for the hailstone sequence produced from $n$?

asked Aug 14 at 17:13

1 vote

0 answers

53 views

Distribution of the number of prime factors a large number $n$ has?

asked Aug 15 at 0:39

1 vote

0 answers

44 views

Is this smooth linear ramp function already a thing?

asked Sep 6 at 20:47

1 vote

0 answers

29 views

Penalty for an objective function to encourage "pigeon-holing"?

asked Mar 2 at 3:10

1 vote

2 answers

209 views

Given the period lengths for the orbits of $n$ different planets around the sun, how long until they all align?

asked Apr 26, 2022 at 20:11

1 vote

2 answers

97 views

What is a polytope/polyhedron with $O(n)$ vertices each with degree $O(\sqrt{n})$?

asked Jun 26, 2020 at 7:30

1 vote

1 answer

189 views

Stochastic Gradient Descent for iterated expectation?

asked Aug 1, 2020 at 10:22

1 vote

0 answers

41 views

What are two statements $A$ and $B$ such that $A \oplus B \Rightarrow A \land \neg B$?

asked Mar 1, 2021 at 6:27

1 vote

1 answer

67 views

Shooting sequence in shuffled Russian Roulette to remove advantage of going first?

asked Mar 12, 2021 at 5:16

1 vote

1 answer

2k views

Proof that the determinant of a Covariance matrix is equal to the determinant of the corresponding correlation matrix times the product of variances

asked Sep 18, 2019 at 3:23

1 vote

0 answers

125 views

Matrix calclulus: inverting a gradient by substitution

asked Aug 21, 2017 at 10:04

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40 Questions

Paradox: Roots of a polynomial require less information to express than coefficients?

Hexagons are best for tiling 2D space in terms of perimeter vs area. What's best for 3D space?

Proof that the ratio between the logs of the product and LCM of the Fibonacci numbers converges to $\frac{\pi^2}{6}$

Test to determine if a polynomial has only real roots?

Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?

Solving $c A + I = (\det A) S$

At what rate do these common definitions converge to the constant $e=2.718...$?

Approximate LCM (Least Common Multiple) of $n$ random $k$-digit numbers

Couples are equally likely to have 1 or 2 children. How likely does a randomly chosen person have a sibling?

Given any polygon, find the smallest width that it could be squeezed through.

Rotating a 3D shape so that it gets heated evenly by a fire

Find matrix $S$ such that $diag(S)=d$ and $S^{-1}_{ij}=P_{ij}$ $\forall i \neq j$

Can origami math solve polynomial equations of degree greater than 3?

Solve $\frac{1}{x} = S x$, an equation that includes an element-wise inverse

Adapting gradient descent for numerical functional optimization?

Choosing which points/nodes to interpolate through?

How to parameterize the surface of a sphere such that the parameters are symmetric?

Is it the case that adjacent odd numbers being prime is statistically independent?

Dividing a sphere as evenly as possible

Rough average length for the hailstone sequence produced from $n$?

Distribution of the number of prime factors a large number $n$ has?

Is this smooth linear ramp function already a thing?

Penalty for an objective function to encourage "pigeon-holing"?

Given the period lengths for the orbits of $n$ different planets around the sun, how long until they all align?

What is a polytope/polyhedron with $O(n)$ vertices each with degree $O(\sqrt{n})$?

Stochastic Gradient Descent for iterated expectation?

What are two statements $A$ and $B$ such that $A \oplus B \Rightarrow A \land \neg B$?

Shooting sequence in shuffled Russian Roulette to remove advantage of going first?

Proof that the determinant of a Covariance matrix is equal to the determinant of the corresponding correlation matrix times the product of variances

Matrix calclulus: inverting a gradient by substitution