# Search Results

1. Post

### A Can asymptotic safety in quantum gravity be right?

The dream of God?
Post by: julian, Feb 3, 2017 in forum: Beyond the Standard Model
2. Post

### I Length Contraction and Time Dilation beyond the Planck scale

You want to evoke quantum gravity theories that predict no physical relevance to scales below the Planck scale? There are the doubly special...
Post by: julian, Jan 21, 2017 in forum: Special and General Relativity
3. Post

### I Derivation of magnetic force using approximated gamma-factor

The exact analysis is given in section 13-6 of the second volume of the Feynman Lectures on Physics. The difference is because, as jarsta alluded...
Post by: julian, Jan 19, 2017 in forum: Special and General Relativity
4. Post

### Baby it's cold outside

The fountain at St. Peter's square has frozen as the pope prayers for the homeless.
Post by: julian, Jan 8, 2017 in forum: General Discussion
5. Post

### Lame Jokes

A seal walks into a club...
Post by: julian, Dec 26, 2016 in forum: General Discussion
6. Post

### RIP Vera Rubin

Dark matter scientist and advocate of women in the sciences. RIP
Post by: julian, Dec 26, 2016 in forum: Current News Events
7. Post

### I Deriving the volume of a sphere using semi-circles

The other theorem of Pappus applies to the area of surface of revolution of an arc: Area of surface of revolution = Length of arc $\times$...
Post by: julian, Dec 22, 2016 in forum: Calculus
8. Post

### I Deriving the volume of a sphere using semi-circles

Theorem of Pappus: "If a plane area revolves about an axis in its plane not intersecting it, the volume of revolution is equal to the area...
Post by: julian, Dec 9, 2016 in forum: Calculus
9. Post

Could you do that integral this way? Put $$I = \int_0^\infty t^{s-1} e^{it} dt$$ and make the substitution $$- \tau = it$$ then $$I = (i)^s... Post by: julian, Sep 8, 2016 in forum: Calculus 10. Post ### I Relating integral expressions for Euler's constant There appear to be a large number of expressions for Euler's constant, in spite of this we dont know if it is irrational! Post by: julian, Sep 8, 2016 in forum: Calculus 11. Post ### I Relating integral expressions for Euler's constant Hi zaidalyafey The integral$$\int^\infty_0 \frac{t^{s-1}}{(1+t)} = \Gamma(s)\Gamma(1-s)$$follows from the Beta function:$$ {\Gamma (s) \Gamma...
Post by: julian, Sep 8, 2016 in forum: Calculus
12. Post

The following three integral expressions for $\gamma$ have now been established: $\gamma = \int_0^\infty \left( {1 \over 1 - e^{-x}} - {1... Post by: julian, Sep 7, 2016 in forum: Calculus 13. Post ### I Relating integral expressions for Euler's constant And we have that$\Gamma (s+1) = s \Gamma (s)$implies$ \psi (s+1) = {1 \over s} + \psi (s) , $from which we can obtain:$ \psi (n+1)...
Post by: julian, Sep 7, 2016 in forum: Calculus
14. Post

### I Can Loop Quntuam gravity be merged with Asymptotic safety

Here is a "sketchy" review of relations to other approaches including LQG...
Post by: julian, Sep 6, 2016 in forum: Beyond the Standard Model
15. Post

This is how you get $\psi(1) = - \gamma$: $\psi (1) = - \gamma - 1 + \sum_{n=1}^\infty {1 \over n (1+n)}$ $= - \gamma - 1 +... Post by: julian, Sep 4, 2016 in forum: Calculus 16. Post ### I Relating integral expressions for Euler's constant I'm aware of the Gamma and$\psi$functions. The motivation for my original question was making an$\epsilon$-expansion of the Gamma function... Post by: julian, Sep 4, 2016 in forum: Calculus 17. Post ### I Relating integral expressions for Euler's constant This is how you do it.... Part A We have \begin{array}{l} 1 + {1 \over 2} + {1 \over 3} \cdots + {1 \over n} = \left[ t \right]_0^1 + \left[... Post by: julian, Aug 30, 2016 in forum: Calculus 18. Post ### I Relating integral expressions for Euler's constant .......I've tried to be rigorous by replacing "0" with$\epsilon$....firstly$ \left[ e^{-x} \ln x \right]_\epsilon^\infty = - e^{-\epsilon}...
Post by: julian, Aug 29, 2016 in forum: Calculus
19. Post

### I Relating integral expressions for Euler's constant

I've noticed that if you integrate Eq.2 by parts you get ## - \int_0^\infty e^{-x} \ln x \; dx = \left[ e^{-x} \ln x \right]_0^\infty -...
Post by: julian, Aug 29, 2016 in forum: Calculus