User John Bentin

27 votes

5 answers

1k views

Is this a known question about the expression of a function on $\Bbb R^2$ as an infinite sum of products?

asked Jan 3, 2019 at 18:30

24 votes

5 answers

3k views

Is Cauchy induction used for proofs other than for AM–GM?

asked Nov 24, 2016 at 15:44

24 votes

3 answers

3k views

Can a unit square be cut into rectangles that tile a rectangle with irrational sides?

asked Jan 15, 2014 at 14:34

14 votes

4 answers

1k views

How fast can the base-bumping function in Goodstein's theorem grow?

asked Aug 13, 2010 at 19:22

13 votes

2 answers

1k views

Is there a known condition for partial sums of a decreasing positive sequence to take all values up to the total sum?

asked May 25, 2020 at 17:25

12 votes

3 answers

3k views

What is known about the polynomial factorization of power series?

asked Aug 13, 2012 at 10:01

10 votes

1 answer

956 views

What polynomials biject from $\mathbb{N}^{2}$ to $\mathbb{N}$?

asked Nov 7, 2010 at 15:42

10 votes

0 answers

385 views

How aspherical can a Gömböc be?

asked Feb 23, 2011 at 10:44

10 votes

4 answers

658 views

What is the least integer of additive dimension 4?

asked Apr 8, 2014 at 7:50

8 votes

6 answers

2k views

What sums of equal powers of consecutive natural numbers are powers of the same order?

asked Jan 24, 2011 at 21:42

6 votes

4 answers

363 views

A sequential optimizing task

asked Jul 8, 2010 at 10:13

5 votes

1 answer

293 views

Does strict order-preservation of powerset curtail the candidates for violation of CH?

asked Nov 19, 2012 at 22:43

5 votes

4 answers

2k views

Can Sierpinski's anisotropic bicolouring of the plane, assuming the continuum hypothesis (CH), be extended to three dimensions?

asked Jan 2, 2011 at 21:02

3 votes

4 answers

810 views

What patterns have been measured in the graph of the number of two-prime-sum representations of even numbers?

asked Feb 1, 2011 at 9:22

3 votes

1 answer

281 views

What bounds the ratio of summed partial harmonic means to a sum?

asked Jul 1, 2011 at 10:00

3 votes

3 answers

281 views

Which real scalings of the natural numbers approximately accommodate the unbounded powers of a noninteger?

asked Mar 24, 2013 at 18:43

3 votes

1 answer

184 views

Which compositions have these sum-like and product-like properties on the positive reals?

asked Apr 1, 2013 at 11:24

3 votes

1 answer

85 views

How big can a triangle be, whose sides are the perpendiculars to the sides of a triangle from the vertices of its Morley triangle?

asked Mar 1, 2022 at 7:31

2 votes

1 answer

232 views

Why does $l_0$ appear in this statement of the Furstenberg–Katznelson–Weiss theorem?

asked Nov 13, 2020 at 9:54

2 votes

1 answer

152 views

Is there a dense rational sequence of positive separation?

asked Jan 29, 2014 at 13:57

2 votes

2 answers

528 views

Is there a good comparative study of the Banach integral?

asked May 20, 2012 at 19:54

1 vote

0 answers

263 views

Which squares succeed a factorial? [closed]

asked Nov 9, 2011 at 8:49

1 vote

1 answer

339 views

Could the cluster set of a rational sequence be of intermediate cardinality (given not-CH)?

asked Feb 5, 2011 at 18:23

1 vote

0 answers

2k views

What is known about the maximum of several independent standard normal random variables?

asked Aug 11, 2021 at 16:29

1 vote

0 answers

51 views

What is the ring of functions on the open unit disc with polynomially bounded Maclaurin coefficients called?

asked Sep 23, 2018 at 18:38

0 votes

1 answer

271 views

Is there a nontrivial maximally recursive function? [closed]

asked Feb 4, 2015 at 11:45

0 votes

1 answer

427 views

Is the following statement a correct formulation of the (much doubted) P = NP conjecture?

asked Mar 14, 2011 at 19:31

0 votes

3 answers

303 views

How long can a primal egyptian fraction be, that optimally approaches unity?

asked Nov 1, 2012 at 16:40

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28 Questions

Is this a known question about the expression of a function on $\Bbb R^2$ as an infinite sum of products?

Is Cauchy induction used for proofs other than for AM–GM?

Can a unit square be cut into rectangles that tile a rectangle with irrational sides?

How fast can the base-bumping function in Goodstein's theorem grow?

Is there a known condition for partial sums of a decreasing positive sequence to take all values up to the total sum?

What is known about the polynomial factorization of power series?

What polynomials biject from $\mathbb{N}^{2}$ to $\mathbb{N}$?

How aspherical can a Gömböc be?

What is the least integer of additive dimension 4?

What sums of equal powers of consecutive natural numbers are powers of the same order?

A sequential optimizing task

Does strict order-preservation of powerset curtail the candidates for violation of CH?

Can Sierpinski's anisotropic bicolouring of the plane, assuming the continuum hypothesis (CH), be extended to three dimensions?

What patterns have been measured in the graph of the number of two-prime-sum representations of even numbers?

What bounds the ratio of summed partial harmonic means to a sum?

Which real scalings of the natural numbers approximately accommodate the unbounded powers of a noninteger?

Which compositions have these sum-like and product-like properties on the positive reals?

How big can a triangle be, whose sides are the perpendiculars to the sides of a triangle from the vertices of its Morley triangle?

Why does $l_0$ appear in this statement of the Furstenberg–Katznelson–Weiss theorem?

Is there a dense rational sequence of positive separation?

Is there a good comparative study of the Banach integral?

Which squares succeed a factorial? [closed]

Could the cluster set of a rational sequence be of intermediate cardinality (given not-CH)?

What is known about the maximum of several independent standard normal random variables?

What is the ring of functions on the open unit disc with polynomially bounded Maclaurin coefficients called?

Is there a nontrivial maximally recursive function? [closed]

Is the following statement a correct formulation of the (much doubted) P = NP conjecture?

How long can a primal egyptian fraction be, that optimally approaches unity?