Gamma Definition and 685 Threads

Homework Statement For what value of v does Gamma (G) =1.0100? Observe that for speeds lower than this value, time dilationand length contraction are effects amounting to less that 1% Homework Equations L=Lp/G=Lp(1-(v^2/c^2))^2 The Attempt at a Solution I do not know where to...

I was reading this: https://www.physicsforums.com/showthread.php?t=181830 I was wondering if there is any up to day info about the speed of gamma ray burst that could confirm or debunk these claims. Or are LQG and String Theory in troubles?

Homework Statement \int e^{-\frac{2Zr}{a}}*r^{-1}dr Boundaries:[0,R] Homework Equations --- The Attempt at a Solution I tried to solve this with lower incomplete gamma function and got \gamma(0,\frac{2ZR}{a}) which is infinite i think. Z=81,a:Bohr radius,R=r0*A^(1/3)...

http://arxiv.org/abs/0810.2481 Gamma-Ray Burst at the extreme: "the naked-eye burst" GRB 080319B P.R. Wozniak, W.T. Vestrand, A.D. Panaitescu, J.A. Wren, H.R. Davis, R.R. White (Los Alamos National Laboratory) accepted for publication in Astrophysical Journal (Submitted on 14 Oct 2008) "On 19...

what's the difference between gamma rays and x rays?

http://www.sciencedaily.com/releases/2008/09/080919185809.htm * "This is the most amazing burst Swift has seen," said the mission's lead scientist Neil Gehrels at NASA's Goddard Space Flight Center in Greenbelt, Md. "It's coming to us from near the edge of the visible universe."...

guys can u please help me out in calculating the posterior distib of the gamma function of form : p(lambda/alpha,beta) = (beta^alpha)*lambda^(alpha-1)*(e^(-beta*lamda)))/gamma(a) lambda>0 mean=alpha/beta mode = (alpha-1)/beta ;alpha>0 the integration seems really tuff which makes...

Very cool image. Does anyone know, is anything in the information we got from this so far at all surprising? Is it likely we will learn anything about gamma ray bursts from this or is more information

I Heard That the gamma function explains the strong nuclear force . \Gamma \left( z \right) = \int\limits_0^\infty {t^{z - 1} } e^{ - t} dt How does it explain the Force? Thanks

In gamma-ray spectrometry with germanium detector, the summing effects have to be taken into account at low source detector distance. The peaks due to coincidence summing of X+X, X+gamma, gamma+gamma rays can complicate the spectrum obtained by this type of detector and significantly change the...

\gamma = csc(cos^{-1}(v/c)) \gamma^{-1} = sin(cos^{-1}(v/c)) Is there something wrong with this derivation? If not, why isn't this the more formal way of writing it, it seems a lot more simple?

Hello everybody, actually yesterday i read about an experiment "ATTENUATION OF GAMMA RAYS". can anybody tell me what is meanning of word ATTENUATION.And why we are measuring it? i.e. what is the sigificance of measuring it?

It is well known that at times we do need explicit representations for the Dirac gamma matrices while doing calculations with fermions. Recently I found two different expressions for Majorana representation for the gamma matrices. In one paper, the form used is: \gamma_{0} = \left(...

Hi, Atmospheric gamma-ray extensive air showers are induced by pair-production interactions. The equation that governs pair production is: \gamma + \gamma = e^- + e^+ My understanding of the interaction is that a gamma passes "close" to the electric field of a nucleus. The nucleus acts...

what is the simplification of the following expression (in terms of gamma and\or other functions) ? \Gamma(xy) i tried the following : \Gamma(xy)=\int^{\infty}_{0} t^{xy-1} e^{-t} dt now let t^x = s => ( after some manipulation ) \Gamma(xy)=\frac{1}{x}\int^{\infty}_{0} s^{y-1}...

I'am not sure how to solve this gamma function \Gamma(5/4). any help ? sorry if this is in the wrong section.

Homework Statement A Gamma photon is used in order to dissociate deuterium into a proton and neutron. the binding energy is 2.22Mev anf the rest energies for the proton and neutron are 938Mev and 939Mev respectively. determine the minmum photon energy to achieve this. consider two cases: 1-...

questions about life of gamma ray particle question-are gamma ray particles unchanged after gamma ray burst 13 billion years ago? question-are changes detected not due to travel through normal space, scattering? changes due to dark matter/energy? question-positronium decay at end universe...

What is the physical process common to both the emissions of atomic x rays and nuclear gamma rays? is it photoelectric.. or the inverse.

Does anyone know of any properties in relation to adding two upper incomplete regularized gamma functions? i.e. can you write Q(a,z1) - Q(a,z2) = Q(a,X) ? where X(z1,z2) Extra information: a is a positive half-integer. Natski

I hav a random variable X which is gamma-distributed with scale θ and shape k, i-e X ~ gamma(k,θ); Now I have another variable, Y= 1+X, is Y gamma-ditributed? if yes what will be the scale and shape parametrs for Y, and what will be the expression for the probability density function of Y...

A random variable X is gamma distributed with a=3, b=2 (alpha/beta). Determine the probability that 1\leqX\leq2 The first thing I did was plug a & b into the gamma distribution formula 1/(b^a \Gammaa * x^(a-1) * e^(-x/b) Which I ended up with 1/16(x^2 * e^(-x/2) Which I then though...

Hi guys, Could someone show me how can I evaluate/measure the cross section of gamma+gamma --> electron + positron I'll be thankful for your help

Homework Statement a) A back-of-the-envelope calculation shows that in about 120 seconds the gamma ray burst released a total energy of about 10^48 Joule. How does this compare to the total energy that would be released by instantly vaporizing our sun into pure energy? (The sun's mass is...

Hello! I would like to know how to calculate the width of the two-photon channel of the SM Higgs. It seems to be quite a tedious calculation with a dimensional regularization to perform. There are two one-loop contributions (leptons and W). Thank you very much in advance for your help! B...

[SOLVED] Gamma radiation gamma radiation does anyone know how it is produced within the nucleus? and I know that gamma radiation takes place after a isotope has undergone a decay and is in an excited state. I know that what interest me is the very nature of the excited state! and how the...

\frac{\beta^\alpha \Gamma(\alpha + 1)}{\Gamma (\alpha) \beta^{\alpha+ 1}} = \frac{\alpha \Gamma (\alpha)}{ \beta \Gamma (\alpha)} = \frac{\alpha}{ \beta} This is the solution. In trying to get the middle expression out of the first I quickly end up with a mess. How should I approach this?

maple syntax: int(theta^y * exp(-theta*(1-alpha) ) , theta) I have a distribution that I need to integrate, and I know the result should have a gamma function in it. The only thing I have found helpful is: http://en.wikipedia.org/wiki/Gamma_function My function is kind of in that...

If the exploding star that caused the gamma ray burst on Wednesday had occurred as close to us as Alpha Centauri what would be the effect on Earth?

Many of us have seen how to find a vector satisfying the following conditions (i) magnitude is m (ii) makes angles alpha, beta and gamma with i,j,k vectors i.e. unit vectors along x,y and z axes. My question is can the angles be taken arbitrarily or they should satisfy some condition like...

How infinite does time get by gamma... So I was thinking, say you have a photon traveling at c. I would assume that the photon's own time frame would have time passing as normal. Now after a time t has passed in the photon's frame, some infinite amount of time would have passed say, on Earth...

Homework Statement Find the frequency and wavelength of a 100 MeV gamma ray photon Homework Equations 100 MeV=1.602 X 10^-11 The Attempt at a Solution I do not know how to do this. I am in a class for elementary teachers and we have to solve this problem.

Will some one help me to prove this identity G(n)+G(1-n)= pi/ sin npi 0<n<1 B(m,n) = (m-1)! / n(n+1)...(n+m+1) ,for beta function

The http://en.wikipedia.org/wiki/Gamma_function" is the integral \Gamma(z)=\int_{0}^{\infty}{dt\, t^{z-1}e^{-t}} . It has poles for integers of z less than 1 and is finite everywhere else. But to me it seems like it should be infinite for non integer values of z less than 0. My reasoning...

Homework Statement Need to prove these 2 identities of beta function & gamma function ? Homework Equations G(n)G(1-n)= pi/sin npi B(m,n) = (m-1)! / n (n+1)...(n+m+1) The Attempt at a Solution I tired using beta function in 1st one but did not get the solution .

[SOLVED] sum/integral/zeta functions/ Gamma functions ...problem solved. Question erased.

Does a gamma ray ray carry enough information to prove its source?

On February 1, 2007, the Konus-Wind, Integral, Messenger, and Swift gamma-ray satellites measured a short but intense outburst of energetic gamma rays originating in the direction of M31, the Andromeda galaxy, located 2.5 million light-years away. The majority of such short (less than two...

\Hi, I know the Gamma function has a first order pole at the negative integers, and the residue at -k is (-1)^k/k! So now I want to compute Gamma(-k)/Gamma(-l) , k and l positive integers, and I have a feeling it should be [ (-1)^k/k! ] / [ (-1)^l/l! ] =(-1)^{k+l} l!/k! What would be an...

[SOLVED] Regression Analysis for a Gamma function My regression analysis program that I developed in BASICS back in the 1980's applies for half a dozen linear equations some of which are transormed into log forms. I would like to modify my program to include this Gamma function...

Can anyone point to the current state of research about the relationship between antimatter clouds and gamma rays, specifically gamma ray bursts? There was a science.com article quoted in a Yahoo news story. If anyone has read the article, does it say anything pertinent on this question?

Hello, I need to compare an exponential integral -E_{-2k}(-m) -where k is a positive integer and m just a real number- to a Gamma function \frac{1}{m^{2k+1}}\Gamma(2k+1). I am using the notation from Mathworld here http://mathworld.wolfram.com/ExponentialIntegral.html...

I've hit a problem trying to sample an inverse gamma distribution, 'scaled' using a temperature variable, T. If my distribution is defined as (where the normalising constant k=(b^a)/Gamma(a) ): IG(x|a,b) = k * x^(-a-1) * exp(-b/x) then the scaled version is (IG(x|a,b))^(1/T) = k^(1/T) *...

Hi all, I have a set of samples and I would like to detect the probability distribution that best represents the data. I'm using the kolmogorov-Smirnov test to verify the goodness-of-fit for some well-known distributions, like Gamma, exponential and Weibull. Since I don't know the...

How do escape peaks occure? I mean peaks originating from a gamma ray located at the Energy value of \ E_{peak} \equiv E_{gamma}-511KeV. I read that an annihilation process takes place and one of the annihilation photons escapes detection.To arive at detecting an Energy of E_{peak} the...

Looking for a "mainstream" explanation for gamma gays and nuetron capture signatures. One of Elizabeth's homework problems got me to thinking: Now if Elizabeth is reading this thread, please note that the "correct" answer (in mainstream thinking today) is probably a). However...

Homework Statement Show that tr(\gamma^{\mu}\gamma^{\nu}\gamma^{5}) = 0 Homework Equations (anti-)commutation rules for the gammas, trace is cyclic The Attempt at a Solution I can do tr(\gamma^{\mu}\gamma^{\nu}\gamma^{5}) = -tr(\gamma^{\mu}\gamma^{5}\gamma^{\nu}) = -...

Haven't been able to find the answer anywhere IRL yet, so I thought I'd see if someone in the PhysicsForums could help me with this one. When doing SEM/EDS (EDX/EDXS) (~equivalent to x-ray fluorescence) analysis it looks as if my europium containing samples contain copper as well, which'd...

Is there a way to measure the atomic number of a source using gamma spectroscopy? Like, I know that if you have different back scattering material, it will produced different intensity backscattering peaks, but is there a formula that relates intensity of backscattered peaks to the atomic number?

Hey guys having a bit of problem with my year 1 essay. Would really appreciate any help :) What are the main sources of gamma ray bursts both short and long duration? I know some are from supernovae but where do others come from?