Lambda Definition and 102 Threads

If anyone knows of any sites that have lectures on lambda calculus it would be very helpful if you could post them. Wikipedia is a bit too rigorous for me on this subject. Thanks.

I have been bugged for a long time by EPR-Bell's hidden function "lambda" (Bell1964: lambda is a hidden 'variable or a set, or even a set of functions'). Here's my latest problem with it. Triggered by some recent discussions which brought up papers, in which is argued (and claimed to be proved)...

I have been kind of trying to teach myself some ideas from CS. What does Turing completeness mean exactly? For example, Lambda Calculus is Turing complete. What does that mean and how do you prove that?

Homework Statement Under the assumption that BETA is a closed term show that (λx.α)(β) and α[x→β] are logically equivalent. Homework Equations I'm sure I have to use β-reduction but I'm not sure how in this case: ⊢(λx.x)(β→α[x→β] The Attempt at a Solution

Homework Statement A gauge transformation is defined so as to leave the fields invariant. The gauge transformations are such that \vec{A}=\vec{A'}+\nabla\Lambda and \Phi=\Phi'-\frac{\partial\Lambda}{\partial t}. Consider the Coulomb Gauge \nabla\cdot\vec{A}=0. Find out what properties the...

the problem stays to find the values of Lambda for which the given problem has nontrivial solutions. Also to determine the corresponding nontrivial eigenfunctions. y''-2y'+\lambday=0 0<x<\pi, y(0)=0, y(\pi)=0 r^{2}-2r=-\lambda r=1±i\sqrt{\lambda+1}...

I've been given an action of S = -\frac{1}{2}m^2\phi^2 - \frac{\lambda}{3!}\phi^3 and the question then require drawing the feynman diagrams for the <\phi\phi> at order \lambda^2. I am told that there are 2 connected diagrams at one-loop order and one disconnected two-loop diagram and...

As I see it, observational early universe cosmology is the main arena for testing quantum models of the start of expansion and the two main rival lines of research are Asym Safe QG and Loop. In the Asym Safe safe approach to quantum geometry both G and Lambda run with scale. In particular...

the lines l2[/SUB and l3 are given by l1 : r = 10i + j + 9k + μ(3i+j+4k) l2: x= (y+9)/2= (z-13)/-3 l[SUB]3 r= -3i-5j-4k + λ(4i+3j+k) where mu and lambda are parameters. d) Show that AC=BC A(4,-1,1) this was given, I calculated and got B as (5,-1,-2) and C (1,-2,-3) This I...

hello, I'm wondering how to calculate, even approximately for the relatively mature universe, what the CBR wavelength was as a function of age of the universe. I get that the CBR began during recombination, though have read different values for the black body temperature at that...

Moved from https://www.physicsforums.com/showthread.php?t=590249&page=3 to avoid confusion with the classical example in its OP. ThomasT and I are mainly discussing Bell (1964) here. The example discussed relates to 2 spin-half particles in the original EPR-Bohm example, see Bell (1964). The...

Homework Statement Find \lambda= \{\lambda_i\} with \lambda_0 = 1 if P(X_n=i+1|X_n=i) = p, P(X_n = i-1|X_n = i) = 1 - p, i \in Z, 0<p<1 Homework Equations \lambda P = \lambda The Attempt at a Solution I used my relevant equation to write out: (1-p)\lambda_0 + P\lambda_{-2} =...

Evidence has been mounting that cosmic acceleration behaves as if simply due to a constant of nature Lambda, a small intrinsic curvature term (reciprocal area) which appears naturally in the Einstein equation. For more about this, google "prejudices against constant" and have a look at the...

Homework Statement Suppose a complex integral of the form \int_{-\infty}^{\infty}(\frac {1}{\alpha+i\lambda}-\frac{1}{\beta +i \lambda}) log(-i\mu\lambda) d\lambda where \alpha,\beta are arbitrary positive parameters and the sufficient condition for integrability (nonlatttice, etc) is...

Does the lambda symbol \Lambda_{\nu}^{\mu} refer specifically to the Lorentz transformation matrix or to any transformation matrix? Also, is it essential that it's enclosed in brackets \left(\Lambda_{\nu}^{\mu}\right) to indicate the entire matrix and not a particular component? Does it matter...

what recent papers have you seen that deal with this question? Here is one I found by Paolo Serra et al (2009) http://arxiv.org/abs/0908.3186 No Evidence for Dark Energy Dynamics from a Global Analysis of Cosmological Data Paolo Serra (UC Irvine), Asantha Cooray (UC Irvine), Daniel E. Holz (Los...

Homework Statement Prove: If A is \lambda ^* -measurable and x\in \mathbb{R} ^n then x+A is \lambda ^* -measurable. My attempt at the proof is below, but i feel like it is not a correct proof. Homework Equations Notation: \lambda ^* is the lebesgue outer measure The Attempt at...

The \Lambda baryon (quark content uds) decays into n + \pi^0 or p + \pi^-. In the case \Lambda \to p + \pi^-, the s quark decays into a u quark, releasing a W^- in the process (which subsequently decays into a \pi^- meson). What happens in the \Lambda \to n + \pi^0 case? (I tried Google, but...

Homework Statement \lambda x_1 +x_2=1 x_1 +2\lambda x_2+x_3=2 x_2 +\lambda x_3=1 The Attempt at a Solution The determinant is 0 for Lambda=0 and 1, found the infinite solutions associated with those to be (1,0,1)+t(-1,1,-1) and (0,1,2)+t(1,0,-1) I need to show a...

As the title suggests, I do not understand why people set lambda = 1 in proofs of Euler's homogeneous function theorem. Euler's homogeneous function theorem is: i. Definition of homogeneity. Given a differentiable function, f(\vec x), that function is said to be "homogeneous of degree...

hi the airy disk equation is d= 1.22 lambda / NA my question is: lambda is the wavelength in medium or in vacuum? thanks in advance

In most cosmology books it says that historically there is only two(some include here also the Minkowski spacetime but I'd rather leave it aside since it is a flat spacetime) non-expanding cosmological models with lambda, the Einstein 1917 model and the de Sitter model, this last was afterwards...

I do not understand the following extract on the semantics in the wikipedia article on lambda calculus: Is D supposed to represent the semantics of the lambda calculus? If so, how? I would really appreciate an explanation of the whole text. They say the set of functions from D into D has...

At the very bottom of the page they have that the straight line, using the definition of a vector as the derivative of the worldline is given as: P(0) + \lambda(\frac{dP}{d\tau})_o But since the worldline, P(\tau) is paramtrized by \tau and not \lambda, then shouldn't the equation be...

Hi this isn't actually a homework question more my own curiosity/confusion. They have the same quark constituents and http://en.wikipedia.org/wiki/File:Baryon_octet.png" for both but mass and decay rate are different, please explain. (if the lambda is an excited state of the sigma why isn't it...

Has anyone come across, or may be able to point me in the direction of a method for evaluating the inductive reactance of a circular loop when the wavelength of the applied signal is significantly less than the conductor length of the loop - and more particularly when; A. The driven...

Homework Statement plane plates of glass are in contact along one side and held apart by a wire 0.05mm in diameter, parallel to the edge in contact and 20cm distant. using filtered green mercury light, directed normally on the air film between plates, interference fringes are seen. calculate...

Homework Statement Hello , Please look at question 2 (b). http://phstudy.technion.ac.il/~wn114101/hw/wn2010_hw05.pdf I got that the lagragian is the potential energy (as in part a of the question) How Do I eliminate the lamda so I can write the U (wave) as requested? Or In Other word...

Homework Statement I am trying to find the equation for lambda four for mechanical harmonics. Homework Equations I know that lambda1=2L, lambda2=L, lambda3=2L/3, but neither google nor my textbook have the equation for lambda4! The Attempt at a Solution I have searched my physics...

Homework Statement I am having trouble figuring out lambda for the 3x3, I have only done 2x2. My matrix: 4 1 4 1 7 1 4 1 4 The Attempt at a Solution I know that when I add lambda (L) in it looks like 4-L 1 4 1 7-L 1 4 1 4-L When I do a 2x2, I would just cross multiply as...

I have a simple sounding question about QCD and its scale parameter \Lambda: The general consensus amongst field theorists is that QCD is not a well defined theory by its Lagrangian and the quantization procedure alone. One needs an additional parameter \Lambda, which sets the scale of...

Homework Statement A thin film of oil (n = 1.50) floats on water (n = 1.33). If the film appears yellow-green (\lambda = 550 nm) when viewed at normal incidence, how thick is it? Given: n_{f} = 1.50 n_{water} = 1.33 \lambda_{0} = 550 nm \theta_{i} = 0 Required: Thickness (d)...

Wasn't sure which forum to put this in... Is there a way to type lambda bar in word 07? Really basic thing. I'm sure there must be a way to do it. I have just been using \lambda and then formatting it with strikethrough. It doesn't look very professional though. The bar should be a little...

I'm during an experiment involving the Michelson- Interferometer, now i need to find the uncertainty for lambda using the equation. 2 (path length difference) = N (lambda) Now I no the above equation can be changed to 2(path length difference)/ N = Lambda; and from their the corresponding...

i read and translated this "article" from a book that shows a new concept to me. infinity small and infinitely large function. can you explain to me using those terms http://img262.imageshack.us/img262/1610/97335712sc3.gif why in certain case we use maximum as the value for lambda...

Apparently, one way to understand the effects of Λ on space-time is to apply the following equation which provides the invariant cosmological length-scale (while Planck length is the invariant quantum length-scale that replaces zero), length-scale being a measure of the space-time sheet-...

Assuming 2 by 2. Ok, I'm asked to find the Eigenvalues. How do I know which should be lambda 1 and lambda 2? I can find the lambda's easily, but does it matter which is 1 or 2? It becomes important when I'm asked to diagonalize. A=S\Lambda S^{-1}

just want to know why if there are six fragments present in an Eco R1 digest of lambda then why are there only five bands visible on a .8% agarose gel? so where have the 21.2 kbp gone? is it to big to migrate therefore has not show up on the gel? can someone explain to me please? thankyou

Does lambda evolve? Some people have been working on this question. http://arxiv.org/abs/0801.1334 Collider Physics and Cosmology Authors: Jonathan L. Feng (Submitted on 8 Jan 2008) ==== http://arxiv.org/abs/0707.3778v1 Renormalization group running cosmologies - from a scale...

Edward Witten on LQG "for lambda > 0, QG does not exist in any dimension" arxiv.org/abs/0706.3359 - page 6 "for lambda > 0, QG does not exist in any dimension" ...the reason... "cannot provide precise observables" As I understand Edward Witten, deSitter space is not stable but metastable, and...

Lambda Warp Drive... Here's an interesting paper, http://arxiv.org/abs/0712.1649 It's about "locally manipulating lamdba" to get something similar to the Alcubierre warp "bubble". I love wild stuff like this...

[SOLVED] Decay equations: Given A0 &amp;amp;amp; At, find half-life, lambda and N0 Homework Statement This is from Advanced Physics by Adams & Allday, spread 8.13 Question 5. The activity of a particular source falls from 5E8 Bq to 2E7 Bq in 20 minutes. a) What is the half-life and decay...

http://arxiv.org/abs/0709.2948 The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited Wolfgang Rindler, Mustapha Ishak (The University of Texas at Dallas) 5 pages, 2 figures (Submitted on 19 Sep 2007) "We study the effect of the cosmological constant...

"QMD" running G and Lambda challenges Loop Gravity As I see it, and I may be missing the point entirely, this is a moment of opportunity and change for LQG and related researches. In brief, the story is that for several years Reuter has been saying that Newton's G and the cosmological Lambda...

Does anyone know of an online lambda calculator? Or actually I need an online calculator that allows the result to be used in the next calculation. Like the "Ans[wer]" key on some realworld calculators. It allows me to see for myself how for example the Cauchy series "1/Ans + Ans/2" converges...

http://arxiv.org/abs/astro-ph/0605173 Steinhardt Turok, inventors of colliding brane cyclic ("ekpyrotic") universe, have followed Smolin's lead in proposing an EVOLUTIONARY MECHANISM that relaxes the cosmological constant down to near zero. It is not a "natural selection" mechanism with...

Lambda (the cosmological constant) is frequently referred to as a sort of "negative gravity": instead of attractive it's repulsive, and instead of getting weaker with distance it gets stronger. However in General Relativity gravity is not regarded as a true force, but just as the...

Lambda (the cosmological constant) is frequently referred to as a sort of "negative gravity": instead of attractive it's repulsive, and instead of getting weaker with distance it gets stronger. However in General Relativity gravity is not regarded as a true force, but just as the...

How about we start a thread on the Stephon Alexander paper, too. A Quantum Gravitational Relaxation of The Cosmological Constant Stephon Alexander 6 pages http://www.arxiv.org/abs/hep-th/0503146 "Similar to QCD, general relativity has a $\Theta$ sector due to large diffeomorphisms. We...

Over in SPR John Baez asked what is the value of the cosmological constant (Lambda) expressed in Planck units. I posted a reply earlier today, but it contained a mistake ---what I posted on SPR around 10AM today--- I think the current estimate of Lambda in Planck units is 4.0 E-123...