Relation Definition and 1000 Threads

Suppose we have a ligand binding to a receptor in solvent medium. I am interested to know whether there is any relation between "Binding free energy" and "Solubility". Extemely sorry if I posted my question in the wrong section. I'd be glad if anyone could help me out with this. Regards...

Homework Statement Which of the following statements are true about Fs, max in the equation mu=Fs, max/Fnormal? I. Fs, max is exerted perpendicular to the surfaces in contact. II. Fs, max represents the maximum value of the force of static friction. III. On a level surface, the magnitude of...

I have derived 2D dispersion relation which has the same atoms. But I also need to calculate this 2D dispersion relation with two different atoms. One atom is located at the center and the other type of atoms surrounds this atom. But I am not sure how ı should calculate it because only...

hello I am new in this forum.. and i would like to ask first this is statement that i confused about 'At low values of k (i.e. long wavelengths), the dispersion relation is almost linear, and the speed of sound is approximately ω a, independent of the phonon frequency. As a result, packets of...

My first post here. :D usually this situation does not arise, but I am working on thin piezoelectric films. When a apply a alternating voltage on the electrodes, the film vibrates. Now this constitutes a LCR circuit which has a resonant and anti-resonance frequency. Since it is vibrating, it...

Is there a relation between Nuclear energy and Gravity? If so, can you please explain what that is and why? If not, why not?

Homework Statement Powdered zinc is heated with sulfur to form zinc sulfide... however, part of the reactants react with O2 as well and form zinc oxide and sulfur dioxide... Imagine that 85.2 g of Zn reacted with 52.4 g of S8 and 105.4 g of ZnS was formed... If the remainder of the...

1. What is the meaning, when a graph of Stopping Distance vs. Kinetic Energy is made, of the slope of the line? Justify this answer by showing how y=mx+b corresponds to the quantities you actually plotted.D is given in CM, and KE given in \frac{g\times cm^{2}}{s^{2}} Three points (From lab...

in interval notation? y^2(x^2 - 1) = x^4 (This is my own problem.)

Hi All, this is puzzling me; we have a real part of the refractive index that governs refraction, ie. scattering, and we have an imaginary part, which describes the absorption of the light. The two are related, as you would expect, and a mathematical relationship exists between the two. The...

1. Solve the following recurrence relation. an - 5an-1 + 6an-2 = 0, n ≥ 2, a0 = 1, a1 = 3 3. My attempt I changed it to 0 = tn - 5tn-1 + 6tn-2 Don't know where to go from there.

When we stand in front of a mirror, the image reflected is not us, it was the past of us, I am sure u guys already know that, like I stared at my friend and he stood very far away from me and all his actions were 'delayed' for a very very short time coz light needs time to travel. How bout I...

Homework Statement What is the difference between molecular mass and molar mass? Are they related? Homework Equations moles = total mass/ mass/mole The Attempt at a Solution I can't find any explanation in my lecture notes. I think that: molecular mass = mass of one molecule...

I'm just beginning to look into loop quantum cosmology, and I've recently run into some fundamental confusion concerning how exactly the Friedmann equation fits in. Is it just that the application of loop quantum gravity yields a modified/effective Friedmann equation, or is it the other way...

One line between (+-). Two lines between (++). Zero line between (--). \gamma number of nearest neighbours. Why we have relation \gamma N_+=2N_{++}+N_{+-} Why we get this? Some explanation. This is from Kerson Huang.

Homework Statement Let A = {1,2,3,4}. Give an example of a relation on A that is symmetric and transitive, but not reflexive. Homework Equations Symmetric: if aRb then bRa Transitive: if aRb and bRc then aRc Reflexive: aRa for all a in A The Attempt at a Solution {(1,2),(2,1),(1,1)}...

v=rω.here , what does v(linear velocity) refer to?tangential velocity or radial velocity.further which velocity is responsible for centripetal acceleration?

Homework Statement Let f : A → B be a function and let Γ ⊂ B × B be an equivalence relation on B. Prove that the set (f × f)^-1 (Γ) ⊂ A × A (this can be described as {(a, a′) ∈ A × A|(f(a), f(a′)) ∈ Γ}) is an equivalence relation on A.Homework Equations The Attempt at a Solution Let...

Hi all! Homework Statement I have to show: \sqrt{(j \pm m ) (j \mp m+1} <j_1 j_2 m_1 m_2 | j_1 j_2 j m\mp 1 > = \sqrt{(j_1 \mp m_1 ) (j_1 \pm m_1+1} <j_1 j_2 m_1 \pm1, m_2 | j_1 j_2 j m > +\sqrt{(j_2 \mp m_2 ) (j_2 \pm m_2+1} <j_1 j_2 m_1 , m_2 \pm1 | j_1 j_2 j m > Homework...

In Euclidean three-space with coordinates (x,y,z) and line element ds^2 = dx^2+dy^2-dz^2 It is easy to show using the geodesic equation that: x = lu+l', y=mu+m', z=nu+n' where u is an affine parameter. However, is it possible to find a relation between l,m,n?

Solved!

We were assigned a problem in class, but because it was on guest lecturer material, I am unclear of which given numbers and what equations to use. I do know I am supposed to use: η=TH-Tc/TH But I am confused as to why I have been given 4 variables ...Please Help! Here is the question [1] You...

Hey, Does anyone know how to calculate the formula for acos in relation to cos? We know that cos (∏/3) = 0.5 and acos(0.5) = ∏/3 However, I assumed I could calculate acos(x) in relation to cos(x) as: 1/cos(x). Well, I assumed wrong :( Is there any way to do this? Thanks

Homework Statement Prove, using Rodrigues form, that Hn+1=2xHn -2nHn-1 Homework Equations The Rodrigues form for Hermite polynomials is the following: Hn = (-1)nex2\frac{d^n}{dx^n}(e-x2)The Attempt at a Solution Hn+1 = (-1)n+1ex2\frac{d^(n+1)}{dx^(n+1)}(e-x2) where...

Hello All, I am having a doubt. Generally, the electromagnetic radiation/photons are created when electrons accelerate in a field or fall from their excited state to normal state etc. Photons are waves of electrical & magnetic fields. Since, photons originate from electrons, shouldn't they...

Homework Statement Just going over some practice questions, and one of them is: 1. Verify the value of the constant, 1240, in the Duane-Hunt relation. Homework Equations E(eV) = 1240/lambda(nm) The Attempt at a Solution I know it is used as a quick method in finding how much...

I am trying to understand the behavior of blackbodies in interaction with each other. Conditions as follows. 1) There are two blackbodies, say B_1 and B_2, with corresponding temperature T_1 and T_2. 2) Initially T_1>T_2. 3) B_1 and B_2 have thermal contact only through radiation...

earth rotates around sun @ R speed, Earth spins on its axis @ S speed. Both R & S are counterclockwise. On the equator @ noon my speed is R-S whereas at midnite its R+S. Q= does this affect the time speed thing?

Homework Statement [PLAIN]http://img600.imageshack.us/img600/161/parcq.png Homework Equations Parseval's Theorem using FT's for this is ∫^{\infty}_{-\infty} |f(t)|^{2}dx = ∫^{\infty}_{-\infty} |\tilde{f}(w)|^{2}dw The Attempt at a Solution From what I know, the Fourier transform...

Hi all Suppose that , a_{n+1}=a_n^2-2 and g_n=\frac{a_1a_2...a_n}{a_{n+1}}. Evaluate \lim_{n\rightarrow \infty } g_n. I have seen some information in this link. Besides, the sequence gn seems as a good rational approximation for \sqrt5. I know that the answer is 1, But I can't find any...

[PLAIN]http://img442.imageshack.us/img442/4514/ballsp.jpg The base case is 2^{K} = n (which turns into log_{2}n = k So I have a question on this recurrence relation problem. (I'm trying to get to make the top equation look like the bottom equation.) I know that the summation ends up becoming...

Homework Statement Given: R is an equivalence relation over a nonempty set X Prove: dom(R) = X and range(R) = XHomework EquationsThe Attempt at a Solution I have the following thoughts: About the given: Since R is an equivalence relation over X by hypothesis, R satisfies: Reflexivity: <x,x>...

Homework Statement Given: A relation R over N x N ((x,y), (u,v)) belongs to R. i.e (x, y) ~ (u,v) If max(x,y) = max(u,v), given that max(x,y) = x if x >= y = y if x < y Prove that R is an equivalence relationHomework Equations I know that to prove an equivalence...

In the context of complex refractive index, is it possible to apply the Kramer-Kronig relation in the region of normal dispersion ? What I want to do is the following. I can measure real part of complex refractive index of a material, n in the limited range of 200-1000 nm wavelength where...

Homework Statement Why are mammals as large as they are and not much larger? Homework Equations Two figures are given. One of the mammal with size S and mass M. Femur is the thigh bone of the mammal with l being the length of the femur, d being the thickness of the femur and A being the...

Homework Statement The problem is number 11, the problem statement would be in the first picture in the spoiler. Basically, I'm trying to find if two operators commute. They're not supposed to, since they involve momentum and position, but my work has been suggesting otherwise, so I'm doing...

Suppose A(x) is a generating function for the sequence a0, a1, a2, . . . that satisfies the recurrence a[n+2] = −a[n+1] + 6a[n] for n > 0, with initial conditions a[0] = 2 and a[1] = −1. Find a formula for A(x) and use it to find an explicit formula for a[n]. I don't know what I am doing...

Hi. Coherent states of light, which correspond to classical em wave, are eigenstates of non-Hermite annihilation operator. Fock states are eigenstates of Hermite number operator. Are Fock states are expressed by combination of coherent states? If yes, how? Thank you in advance. ref...

Homework Statement T(n) = 2T(n-1) T(1)=1 The Attempt at a Solution I am trying to show the iterations. T(n) = 2T(n-1) T(n) = 22T(n-2) T(n) = 222T(n-3) Is this the right track? Where the result would be 22222...1eventually? The problem just feels awkward D: If my answer is right is there...

A = {1,2,3} B= {a,b,c} c = {x,y,z} R = {(1,a) (2,c) (3,a) (3,c)} S = {(b,x) (b,z) (c,y)} Find RoS (composition of relation)my solution was this: (2,c) belongs to R and (c,y) belongs to S so (2,y) belongs to RoS (3,c) belongs to R and (c,y) belongs to S so (3,y) belongs to Ros RoS={(2,y) 3,y}...

Let R be a relation on set A={1,2,3,4} R = {(1,1) (1,2) (1,3) (1,4) (2,2) (2,4) (3,3) (3,4) (4,4)} Construct a matrix of R I don't know how to solve matrix can you tell me how to construct a matrix with this Relation

Dear all, is the relation between chemical composition of a material and its physical properties a peering relation or a relation of subordination？

Hello, I know this seems silly to ask, but how could I figure out how much heat was given off when I know the force of an object hitting another?

Homework Statement Hello! I just want to be sure if I did solve the task correctly. The task is: Prove that bn is odd for integers n>=1 b1=1 b2=3 bk=bk-2+2bk-1 for k>=3 Homework Equations The Attempt at a Solution Induction basis: b1=1 true 1 is odd b2=3 true 2...

Homework Statement Suppose R and S are relations on a set A, and S is an equivalence relation. We will say that R is compatible with S if for all w,x,y,z ∈ A, if (w,y) ∈ S and (x,z) ∈ S, then (w,x) ∈ R iff (y,z) ∈ R. Prove that if R is compatible with S, then there is a unique relation T...

http://arxiv.org/abs/1109.1290 [B]Linking covariant and canonical LQG: new solutions to the Euclidean Scalar Constraint[/B Authors: Emanuele Alesci, Thomas Thiemann, Antonia Zipfel (Submitted on 6 Sep 2011) Abstract: It is often emphasized that spin-foam models could realize a projection on...

Homework Statement *attached Homework Equations The Attempt at a Solution Let a,b ∈ H. Then (∀x ∈ S)(a*x = x*a) and (∀x ∈ S)(b*x = x*b). It is easy to see, then, that a*b = b*a. Now let c ∈ S. Then (a*b)*c = c*(a*b) by the associativity of *. Q.E.D.

If a photon hits electron which is at rest. scatters electron. Some one pleas show formula that relates compton wavelength and de broglie wavelength of electron

Homework Statement For the van der Waals equation of state, confirm the following property: (∂P/∂T)V (∂T/∂V)P (∂V/∂P)T = -1 Homework Equations The van der Waals equation of state is: P = nRT/(v-nb) - an2/V2 *R, n, a, b are const. The Attempt at a Solution I...

Homework Statement \imath\frac{\partial u}{\partial t} + \frac{\partial^2 u}{\partial x^2}=0 \left(x,t\right) = \int^{\infty}_{-\infty}A\left(k\right)e^{\imath\left(kx-wt\right)}dk u\left(x,0\right)=\delta\left(x\right) Homework Equations Not sure how to get w(k) The...