David Cole

16 Questions 43 Answers 0 Followers

Questions related from David Cole

Does the theory of physics for artificial worlds count?

Does mathematics benefit/advance from such theories/models? Relevant Reference...

23 October 2018 8,133 4 View

What are the reasons that quantum mechanics is formulated in an infinite-dimension Hilbert space rather than a finite-dimension one?

Reference Question...

07 August 2018 611 8 View

Does faith in God mean all things/acts of Creation are important?

Humans are limited in their capacity to understand the world... Do you agree?

30 May 2018 1,326 11 View

Do prime gaps form a Gaussian distribution?

Do gaps between consecutive odd primes form a Gaussian distribution that becomes flat for the entire natural number line?

03 March 2018 4,247 1 View

For any positive integer, n ≥ 2, are there at least two prime numbers between n^2 and (n+1)^2?

With the help of the Prime Number Theorem, please seek an affirmative answer. The question is stronger than the very related Legendre's Conjecture...

28 February 2018 2,058 3 View

What is the minimum positive integer, n, such that there are at least two prime numbers between n^2 and (n+1)^2?

This is a question about the distribution of prime numbers along the natural number line.

21 February 2018 2,905 5 View

What is the minimum number of mutual and constructive connections each human must make with other humans in ... so that humans may evolve and thrive?

Relevant Reference...

24 September 2017 5,965 1 View

Does politics hinder the public good of technology?

Humanity should benefit from advances in technology. But history says otherwise. Could it be politics that explains why technology has not benefit humanity generally?

25 August 2017 2,709 2 View

How does war begin, escalate, and end between opposing countries?

"Differing values and beliefs among countries can cause conflicts.Countries can come into conflict if they think their ideological beliefs are being threatened. An example of this is the Korean...

07 August 2017 7,287 8 View

What are some good books on prime number theory?

The books should be good reference sources for the advanced amateur or professional mathematician (or number theorist).

10 July 2017 9,170 4 View

How effective is the Lyapunov's second method for stability?

Open Question: "Lyapunov's second method for stability – For what classes of ODEs, describing dynamical systems, does the Lyapunov’s second method formulated in the classical and canonically...

19 May 2017 4,133 5 View

Does 'Dark' energy imply infinite energy in our universe or 'beyond' it?

Reference link: https://en.wikipedia.org/wiki/Dark_energy; 'Concordance Cosmology without Dark energy', https://arxiv.org/pdf/1607.08797.pdf.

11 April 2017 1,956 6 View

What is the solution to the inscribed square problem (Toeplitz square peg problem)?

Reference links:...

02 December 2016 7,691 13 View

Why is the Riemann Hypothesis true?

"We must know; we shall know." -- David Hilbert. Riemann Hypothesis states that the real part of all nontrivial zeros (s = a ± b * i) of the Riemann zeta function equals one-half ( or Re(s = a...

07 November 2016 5,144 16 View

What is the proof of the ABC Conjecture?

Since there has been considerable work done to answer this famous and important question, we expect a clear and definitive proof of the ABC Conjecture within 48...

01 January 1970 1,396 5 View

Does the nth nontrivial simple zero of the Riemann Zeta Function indicate the nth prime, p_n, occurs as a prime factor in all multiples of p_n?

"One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to...

01 January 1970 7,097 2 View