Mixed Definition and 251 Threads

Hi, While studying Lie groups and in particular the representations I have some trouble with determining whether a representation is a symmetric, antisymmetric or mixed tensor product of the fundamental representations. I'm working with SO(5) to get an understanding about the actual...

Hello guys, Homework Statement the problem goes as follows: "Which measurement should you do on a statistical ensemble of qubits in order to distinguish between the pure state |Ψ>= cos(θ)|0> + sin(θ)|1> and the mixed state ρ=cos^2(θ)|0><0| + sin^2(θ)|1><1| " Homework Equations I am not...

I have a third order derivative of a variable, say U, which is a function of both space and time. du/dx * du/dx * du/dt or (d^3(U)/(dt*dx^2)) The Fourier transform of du/dx is simply ik*F(u) where F(u) is the Fourier transform of u. The Fourier transform of d^2(u)/(dx^2) is simply...

Homework Statement $$\sqrt{2}+\sqrt{7}-\sqrt{10}$$ is a surd Find another irrational number such that when multiplied by $$\sqrt{2}+\sqrt{7}-\sqrt{10}$$ , it results a rationall number. Homework Equations The Attempt at a Solution I found the answer, but I think I did not...

As mixed states and density matrices are the generalization of pure states, i wondered if it was possible to prepare a given mixed state. I know that decoherence give mixed states. Are there other ways to get them? measurements on pure states always give pure states (POVM also). So how?

Homework Statement Prove that (A×B) . [(B×C)×(C×A)]=(A,B,C)^2 where A, B, C are vectors in R3. Homework Equations W×(U×V)=(W . V) U - (W × U) V The Attempt at a Solution Assuming K=(A×B), M=(B×C): K . [M×(C×A)] K . [(M . A) C - (M . C) A] [(M . A)(K . C) - (M . C)(K . A)]...

I'm confused finding a solution (numerical integration is ok) for the following model: http://imageshack.com/a/img27/7080/brmb.jpg Free body diagrams: http://imageshack.com/a/img22/9523/r0is.jpg And the equations of motion: \begin{align} k_{s,1}x_1+k_{s,2}x_1^3+k_m(x_1-x_2)+k_f(x_1-x_3) &=...

This is how one poster tried to explain it to me but for people who have only taken a basic physics course in college it leaves a lot wanting. "If a system is in a pure state, and you know what the pure state is, then your knowledge of the system is complete, and all uncertainty is quantum...

What is the pH when 200 mL 0.1 M NaOH is mixed with 300 mL water? I am stuck here. I know V1C1 = V2C2 but I need help at this point. I don't know how NaOH reacts with water, and how this would affect the pH of the final solution. I also don't know whether or not I should use the...

Hello, i m trying to evaluate the following: r*x - r*y ≤ g, where r,x,y are nonnegative random variables of different distribution families and g is a constant nonnegative value. Then, Pr[r*x - r*y ≤ g] = Pr[r*x ≤ g + r*y] = ∫ Fr x(g + r*y)*fr*y(y) dy, where F(.) and f(.) denote CDF and...

Let's say you prepare a pure state in a single electron at a time double slit experiment meaning the electron interferes with itself, then you hit the electron with a one photon at the sides (serving as environment) causing decoherence, so the double slit setup decohere and becomes mixed state...

hello i do have something unclear about =.. POWER Real Power Reactive Power Inductive Load 500 511 W 329VAR 1.2 400 519W 312VAR 2.0L 300 490W 382VAR 3.2L IS ABOUT MIXED RESISTIVE INDUCTIVE LOAD.. MY...

Homework Statement 90 grams of water at 75°C are mixed with an equal amount of water at 25°C in a completely insulated container. The final temperature of the water is 50°C. How much heat is lost by the hot water? Homework Equations The hot water drops to 50 degrees Celsius so it has...

Homework Statement solve the heat equation over the interval [0,1] with the following initial data and mixed boundary conditions.Homework Equations \partial _{t}u=2\partial _{x}^{2}u u(0,t)=0, \frac{\partial u}{\partial x}(1,t)=0 with B.C u(x,0)=f(x) where f is piecewise with values: 0...

I have a mixed culture plate and I want to do 16s rRNA analysis on it and I have a few questions. First of all there are no visible colonies, but I know bacteria is growing. Do I just take a small chunk of the medium and do PCR on it with universal primers (I have a procedure for this step)...

Hey guys, I was reading about thermal states and now I have a doubt: is a thermal state always a mixed state with density matrix ρ=exp(-βH)/Tr(exp(-βH)), or is there also a pure thermal state? Thank you

Hi, I am sort of hung up with a particular step in a derivation, and this has caused me to ponder a few properties of partial derivatives. As a result, I believe I may be correct for the wrong reasons. For this example, the starting term is (\frac{\partial}{\partial x}\frac{\partial...

Hey all! I'm building a simple low cost Fourier Transform Infrared Spectroscope as a summer project. for those unaware, the process involves a Michelson-style interferometer which takes a coherent source and splits it. One ray is reflected directly back whereas the other ray has a path...

That's right. Half a bottle of 409 (dimethyl benzyl ammonium chloride) and the other half bleach. The bottle started getting hot, so I put it outside for now. The question is, what abomination is in that bottle? Am I dealing with chlorine gas? Thanks for any answers.

From time to time the Magic Grandmother of Philosophy flies down from the sky and touches physics with her magic wand and it the field becomes slightly different. Philosophy is the careful examination of the concepts we use to think with. It can spark revolutions in thought. I've noticed it's...

Hi, I am trying to calculate second virial coefficient from interaction potentias and I have to Integrate at Infinity level and it seems that Integrate doesn't converge. can you help me integrate this function. Integrate is attached as an image. Regards Raymond

suppose function f is define on the interval [0,1] it satisfies the eigenvalue equation f'' + E f=0, and it satisfies the boundary conditions f'(0)+ f(0)=0, f(1)=0. How to solve this eigenvalue problem numerically? the mixed boundary condition at x=0 really makes it difficult

Hi all! I was wondering what will happen if you have two aqueous solutions with the same refractive index and you mix them? Would you end up with the same refractive index as the both solutions or will the refractive index change? In my case I'm using a aqueous 40% wt. potassium...

Would this mixdure be equivalent in performance and fuel economy as 95 octane gasoline? Any possible damages to the engine if I try this mixdure? Br. Vidar

Here is the question: Here is a link to the question: Would you help with these math problem? - Yahoo! Answers I have posted a link there so the OP can find my response.

hi what is a pure quantum state and a mixed quantum state? I looked up the internet but I did not quite understand. For pure quantum state I have read that they can't be written down as a mixture of other states? are entangled states pure states?

Homework Statement If 10-kg of ice at 0 degrees Celsius is added to 2-kg of steam at 100 degrees Celsius, the temperature of the resulting mixture is? Use Joules. ANSWER: 40 Homework Equations Specific Heats: Ice = 2060 Steam = 2020 Latent Heats: Water melting = 3.33x10^5...

Homework Statement Let f(u,v) be an infinitely differentiable function of two variables, and let g(x,y) = (x^2 + y^4, xy). If f_{v} (5,2) = 1, f_{uu} (5,2) = 2, f_{vv} (5,2) = -2 and f_{uv} (5,2) = 1, computer d^2(f o g)/dxdy at (2,1)Homework Equations The Chain Rule The Attempt at a...

The length of the side of the square is a. The boundary conditions are the following: (1) the left edge is kept at temperature T=C2 (2) the bottom edge is kept at temperature T=C1 (3) the top and right edges are perfectly insulated, that is \dfrac{\partial T}{\partial x}=0,\dfrac{\partial...

Homework Statement A 100-g sample of Cu(s), initially at 100oC, is added to 140 g of water, initially at 25oC. What is the final temperature of the mixture? Specific heat (in J g-1 oC-1) Cu(s) 0.385 H2O(l ) 4.184 Homework Equations Q = m * ΔT * c heat lost = heat gained = m2 * ΔT2 * c2...

Homework Statement Suppose that 20.0g of steam at 110°C is mixed with 25.0g of ice at -40°C What will the final temperature be? Ice - Specific heat capacity 2.10 J/g°C Water - Specific heat capacity 4.19 J/g°C Water - Latent heat of fusion 334 J/g Water - Latent heat of vaporization 2268...

Homework Statement Suppose that 20.0g of steam at 110°C is mixed with 25.0g of ice at -40°C What will the final temperature be? Ice - Specific heat capacity 2.10 J/g°C Water - Specific heat capacity 4.19 J/g°C Water - Latent heat of fusion 334 J/g Water - Latent heat of vaporization 2268 J/g...

Homework Statement Solve Laplace's equation on the rectangle 0< x< L, 0< y< H with the boundary conditions du/dx(0, y) = 0, du/dx(L, y)=y, du/dy(x, 0)=0, U(x, H)=x. Homework Equations The Attempt at a Solution I would be able to solve it by separation of variables if the last...

I am confused about mixed quantum states, if the only observable states are pure eigenstates, since we have to measure to observe, what is the physical meaning of a mixed state?

Solve Laplace’s equation $\nabla^2u = 0$ on the rectangle with the following boundary conditions: $$ u_y(x,0) = 0\quad u_x(0,y) = 0\quad u(x,H) = f(x)\quad u_x(L,y) + u(L,y) = 0. $$ How are mixed BC handled?

$$ \left.(\phi_n\phi_m' - \phi_m\phi_n')\right|_0^L + (\lambda_m^2 - \lambda_n^2)\int_0^L\phi_n\phi_m dx = 0 $$ where $\phi_{n,m}$ and $\lambda_{n,m}$ represent distinct modal eigenfunctions which satisfy mixed boundary conditions at $x = 0,L$ of the form \begin{alignat*}{3} a\phi(0) + b\phi'(0)...

How can I calculate degrees of freedom of a rank (o,3) tensor, Aabc, that is mixed symmetry and antisymmetric in the first 2 indices? By mixed symmetry I mean this: Aabc+Acab+Abca=0.

Homework Statement I want to show that tr\left(\hat{\rho}_{mixed}\right)=1 tr\left(\hat{\rho}_{mixed}^{2}\right)<1 when \hat{\rho}_{mixed}=\frac{1}{2\pi}\int_{0}^{2\pi}d \alpha \hat{\rho}(\psi) Homework Equations tr\left(\psi\right)= \sum_{n}\langle n|\psi|n\rangle...

Homework Statement pic: www(dot)freeimagehosting.net/hbnem Calculate impedance , current and power factor Homework Equations The Attempt at a Solution pic: www(dot)freeimagehosting.net/xmy2b First we solve parallel part. In parallel resistor and inductor are sharing voltage...

Why aren't mixed ratios allowed in Euclid's "Elements"? Why did Euclid forbid the comparing of different kinds of magnitudes? And was it the same for numbers? Or were ratios specifically meant for magnitudes (lines, planes, solids) What are the consequences of comparing 2 different kinds of...

I am doing my thesis in quantum information and I am learning the background of it, I met this two things mixed and pure states. I have read a few books and a few articles too. But I still can not get the idea. So If anyone can give some help explaining this, would be such a good help. Either if...

I have a PDE in two variables, u and v, which takes the form \frac{\partial\psi}{\partial u\hspace{1pt}\partial v} + \frac{1}{r}\left(\frac{\partial r}{\partial u} \frac{\partial \psi}{\partial v} + \frac{\partial r}{\partial v}\frac{\partial\psi}{\partial u}\right) for an auxiliary...

If I am given the CDF of a piecewise mixed distribution density starting from a and ending at b, would the expected value just be a + integral(all the pieces) ?

Hi All, I was reading this paper the other day and I've been trying to find the numerical techniques its mentions but have been thus far unsuccessful. The authors simply state that is well know and straightforward, and they believe this so much that they don't even include a reference. Ok...

The usual description of Schrödinger's cat is that after being placed in the box, Schrödinger's cat in a superposition state of being alive and dead. Sometimes, I see this written as: \mid \Psi \rangle=\frac{1}{\sqrt{2}}(\mid alive \rangle+\mid dead \rangle) This is representing a particular...

Nowadays people usually consider PDEs in weak formulations only, so I have a hard time finding statements about the existence of classical solutions of the Poisson equation with mixed Dirichlet-Neumann boundary conditions. Maybe someone here can help me and point to a book or article where I...

Hi folks, I'm currently a freshman at Memorial University of Newfoundland, in the science program studying Biology at the moment. However, I have recently began getting the crap kicked out of me in Biology by a 4th year Bio prof who has come down to 1st year apparently to sort people out, and...

Hi! Given a matrix A of elements A_i\;^j, which is the right transpose: A_j\;^i or A^j\;_i ?

I know that for any C2 function, the mixed second-order partials are equal, and I see that this should extend inductively to a statement about the kth partials of a Ck function, but I am having trouble figuring out exactly how this works. For example, take f:ℝ2 → ℝ . fxxy=fxyy is not true...

1. 1 kg of melting ice and 1 kg of boiling water are mixed: Which temperature will have the mixture when all ice is liquefied ? I don't know if there is formula The attempt solution: I don't know this question is really hard there are not enough information