Mixed Definition and 251 Threads

F(q_1,...,q_n,t) \frac{d}{dt}\frac{\partial}{\partial \dot{q}} \frac{dF}{dt} = \frac{\partial}{\partial q} \frac{dF}{dt} what's the theorem that says partial and ordinary derivatives are mixed?

Homework Statement According to Wikipedia and one of my calculus textbooks: (I am used to this notation) But I've seen another source writing fxy=∂2f/∂x∂y=∂xyf which is totally inconsistent with the above. How come? Which one is standard? Is the second one wrong, or is it acceptable? The...

Hello, I'm studying pseudopotentials right now, and I had an epiphany that the pseudo-wavefunction is really mixed-state of the original Hamiltonian. Has anyone ever thought about a pseudo-wavefunction that way? Just curious. modey3

As a complete novice, I'm reading a text which says that a mixed second rank tensor T^{u}_{v} is reducible but don't see how. Anyone care to show me? :wink:

Homework Statement Hi, So I'm suppose to solve the following problem: \left.\frac{d^{2}u}{dt^{2}}-4\frac{d^{3}u}{dt dx^{2}}+3\frac{d^{4}u}{dx^{4}}=0 \left.u(x,0) = f(x) \left.\frac{du}{dt}(x,0) = g(x) Homework Equations The Attempt at a Solution First I use Fourier transform on...

has anyone mixed titanium,tunsten,carbonated steel,vanadium and chromium togeather to make a alloy

Homework Statement Cu2+OH-, and Br- form a mixed salt formula Cux(OH)yBrz. In an experiment to determine the values of x, y, and z in the formula of this compound, .760 g CuBr2 (223.4 g/mol) was dissolved in water and reacted with 10.22 ml 0.555M NaOH. Assume that in this reaction, all of...

Does the quote below (from a textbook) make sense to anyone? The context is that they are introducing mixed states, and the quote below is how they refer to the pure states discussed in previous chapters. Here is the quote: "In quantum mechanics, such maximum information is contained in a...

Suppose you have a system which consists of a number of non-interacting particles in some potential trap. These particles are essentially identical; but each is in a different energy level (in a different energy eigenstate). Such a system is a completely mixed system (also called a 'mixed...

Homework Statement I have the following circuit http://informatici.vankeer.eu/files/2/Untitled.png R1 = 22 ohm, R2 = 39, R3 = 82, R4 = 100,R5 = 10 and V = 2volt I'm asked to calculate the voltage and current over de resistors when the switch is open and when the switch is closed...

Homework Statement In an experiment, we've isolated silver atoms that are in a purely |\uparrow \rangle state with respect to the z-axis, and feed these into a Stern-Gerlach apparatus oriented at an angle of \frac{\pi}{4} between the x and z axes, which measures an observable we will call...

Homework Statement Consider the following gas phase reaction: http://scholar.uh.edu/webct/RelativeResourceManager/Template/Imported_Resources/20053H_CHEM1331_08946_QIZ_200511041405291131475017966%20folder/QIZ_6442871_M/my_files/test_images/f5g1q49g1.gif 400. mL of NO at STP is reacted with...

I ran a time-domain simulation in HSPICE & I am trying to analyze the frequency content of the transient current draw...(FYI- I have the power systems "impedance vs. frequency" curve, and my aim is to determine the noise voltage on my power rail given its impedance now) So I run FFT...

I have a book on quantum computation that explains the concept of a mixed quantum state. The definition is pretty plain, you just have a boring probability distribution over a set of quantum states. What I would like to know is why we need mixed states. How are they represented physically in...

Homework Statement Solve Laplace's equation inside the rectangle 0 \le x \le L, 0 \le y \le H with the following boundary conditions u(0,y) = g(y)\text{, } u(L,y) = 0\text{, } u_y(x,0) = 0\text{, and } u(x,H) = 0 Homework Equations The Attempt at a Solution I know that with...

I ran across this identity for a conditional PDF where the dependent random variable X is continuous and the independent variable N is discrete: \frac{P(x<X<x+dx|N=n)}{dx}=\frac{P(N=n|x<X<x+dx)}{P(N=n)}\frac{P(x<X<x+dx)}{dx} In the limit as dx approaches 0 this yields: f_{X|Y}(x|n)...

Homework Statement a potential difference V = 100 V is applied across a capacitor arrangement with capacitances C1 = 11.0 µF, C2 = 7.00 µF, and C3 = 3.00 µF. Find the following values Charge on each capacitor, potential difference on each capacitor, and stored energy in Joules. The circuit is...

Dear friends, How is the divergence in curvilinear coordinates of a second order mixed tensor defined? I mean, shall I contract the covariant or the contravariant index?? And for both cases which is the physical meaning? \nabla_i N^i_j or \nabla_j N^i_j ? Thanks a lot, Enzo

What is the difference between a mixed state and a superposition?

I remember before reading bits and pieces about how if we have a function of two variables, say f = f(x,y), then it must be true that d/dx(df/dy) = d/dy(df/dx), where the "d"'s are partials. Can anyone guide me to what this theorem is called or to its implications? Also, does it work in...

Quote: "Let G = <N, (A_i), (u_i)> be such a strategic game. We denote by \Delta (A_i ) the set of probability distributions over A_i and refer to a member of \Delta (A_i ) as a mixed strategy of player i; we assume that the players' mixed strategies are independent randomizations. " So...

I don't have any problems dealing with mechanical calculations(I think), but yet I have some conceptual problems with mixed state(= statistical mixture?) and pure state in QM. - pure state : |Φ> = 1/sqrt2 ( |↑> + |↓> ) - mixed state : ρ = 1/2 ( |↑><↑| + |↑><↑| ) What is the difference...

1. The speed of a body of mass, m, moving horizontally, increases from u to v over a distance, d, under the influence of a constant resultant force, F, in the direction of motion. The energy transferred to the body is: 1. Fd 2. m/2*(v^2 - u^2) 3. 1/2*(mv)^2 The options are: 1 only, 2 only, 1 &...

Homework Statement A 15g bullet is fired from a gun, leaving the gun with a muzzle velocity of 750m/s. It hits and sticks in a 1250g wooden block. The block is on a table 5.0m away from edge. The table is 1.1m above the floor and between the block and the table surface constant of kinetic...

Thanks for the help on the other questions. I am having trouble with another derivation. Unlike the others, it's not abstract whatsoever. Okay I wish to find the transformation Law for the components of a rank 2 tensor. Easy, I know: T: V^* \times V \mapsto \mathbb{R} So T =...

[SOLVED] Finding percentage of carbonate in mixed sample titration A sample of mixed carbonates, SrCO3 (147.63 g/mol) and Li2CO3 (73.89 g/mol), weighed 0.5310 grams. If this sample is titrated with acid, it is found that 29.47 mL of 0.3400 M HCl are required to reach the endpoint. What is the...

Just looking for a few idea for me to explore. Basically I have a lump of material that is little bits of stone and rubber stuck together that I need to separate. Any ideas welcome Thanks

Does anyone have an idea as to the relative abundance of each of these types? Why will one type occur over the other in a given situation? Thanks, -Scott

Homework Statement What is the pH of the resulting solution when 100.0 mL of 0.10 M H3PO4 is mixed with 200.0 mL of 0.15 M NaOH? Homework Equations Henderson-Hasselbalch, equilibrium constant expressions The Attempt at a Solution I've thought about this question for over an...

Homework Statement What is the final pH of a solution obtained by mixing 200 ml of 0.400 M NH3 with 300 ml of 0.100 M HCl? (Kb = 1.8 x 10^-5) Homework Equations The Attempt at a Solution I used an ICE table and came up with 9.68. Is that correct? Should I have used two ICE tables instead...

A block of mass m is pulled at constant velocity along a rough horizontal floor by an applied force T which is directed at an angle theta above the horizontal. The magnitude of the frictional force is: a. T cos theta b. T sin theta c. 0 d. mu x mg e. mu x mg cos theta I figured it was d...

My lab partner and I are trying to recreate this experiment: http://www.blackwell-synergy.com/doi/pdf/10.1111/j.1467-9280.2006.01731.x? This appears to be a mixed design. Half the participants were put in a positive mood and half were put into a neutral mood. After the mood induction, each...

THe directions say< indicate which fo the following statements are true and which are false, Justify your answers as best you can. Here is the question: \exists x \in R such that \forall \in R, x = y + 1. I wrote the following: There exists a real number x such that given any...

exam question... Equal masses of two liquids of density P and 2P are mixed together thoroughly. Whats the density of the mixture provided the total volume remains constant? 1.4p/3 2. 3p/2 3. 3p 4.5p/3 im getting 4p/3...:frown: is that correct?

This may be better suited for the nuclear engineering forum, so feel free to move it. In decay processes that involve beta decay (or positron decay), there are pure beta emitters and mixed beta/gamma emitters. What determines whether a specific nuclide is just a pure emitter as opposed to a mixed?

What is a pure state and a mixed state?

Perform the idicated operations. Write fractional answers as mixed numbers or as proper fractions reduced to lowest terms. One: -3-(-4)-|4-7| Two: 0.096492 ( Divid) 1.72 Simplify: 3(1-5)-[(1-7)(-5)] -(-{-[-(-64)]}) -|-3+4|+5-7 Evaluate: c-bc if b=-1 and c= -2

I have a problem that I tried to solve using MAPLE but I guess wasnt doing the right thing. \frac {\partial ^{2} \delta}{\partial t^{2}}+ S*(\frac {\partial^{2}\delta}{\partial \eta^{2}}+M*\frac {\partial^{4}\delta}{\partial \eta^{4}})-G* \frac {\partial ^{3} \delta}{\partial \eta ^{2}...

http://somethingsimilar.com/mixedstates/ Peter Woit called attention to this. It gathers blog material relating to physics and physicists. I found there a bunch of stuff I had already enjoyed in the course of my own scattered reading over the past 2 or 3 days, already picked out and bundled

I am familiar with the standard rule of mixed partial derivatives in that the order in which you partially differentiate dosn't matter. I have just been considering whether the same rule applies if we take f(q,t) say where q=q(t) and we differentiate normally w.r.t t then partially w.r.t q. Is...

Hi there, I have a math test tomorrow and I have some questions from our books review sets that I haven't been able to solve yet. For now I only have questions on functions and Sequenzes & Series but it's possible that I might ad a few more later during the day. Here it goes... ---Functions---...

I have mixed feelings about grassroots efforts and maybe we'll get into that. But, one thing I like about MoveOn is that they keep you updated after they have asked for your action. Regarding Tom Delay, here is how they have connected the dots for the work they have been doing regarding his...

Spaying/neutering: What type of animals do you have? (Are they purebreds or mixes?) Are they spayed/neutered? What do you think about the SPCA's policy that, if adopted, purebreds must be spayed/neutered? (At least I believe that's their policy) What do you think of the SPCA not offering to...

Glass-iron fibres could a magnetic field effect it? Hi, didn't know where to post this but basically if we were to have fibres made of a mixture of glass and Iron could an application of a magnetic field be used to apply a strain? What factors would need to be considered? Thanks

Hi, has anyone here ever seen anything like this? f = f(x,y,t) g = g(x,y,t) \frac{ \partial^{2}{f} }{ \partial {y}\partial {t} } } + \frac{ \partial^{2}{f} }{ \partial {x}\partial {t} } }+ \frac{\partial{f}}{\partial{t}}+ \frac{\partial{f}}{\partial{y}}+...

hot coffee! i went with my friend and his wife to the coffee shop. the coffee was brought when my friend's wife was in the wash room. it was steaming hot while the milk was cold.we mixed the coffee and milk and started drinking. (considering the fact that i prefer my coffee without milk, take...

In an experiment, .02 kg of substance is heated in a bath of boiling water until its temperature is apporoximately 100*C. The substance is the placed in an insulated container that is holding .10 kg of water at 25*C. The final equilibrium temperature of the mixture is 32*C. The specific heat of...

The graviton is postulated to be spin 2. But if a spin 2 became 2 x spin 1 sometimes then the force of gravity could become the electric force. And similarly 2 x spin 1 could become 1 x spin 2 sometimes. How would the effects of such transformations be detected in the laboratory? The...

Hello. Excuse my english, it is not my natal tongue. I have a question about real functions of two real variables. Does someone knows how to use differentiation under the integral sign to proof the equality of mixed partials ? I have read said proof in a book of an english author, David...

Not really a brain teaser but this is totally amazing. I guess most people can read this whole thing as easily if it were written properly. Taken from http://www.eyetricks.com/wordjumble.htm "Aoccdrnig to rscheearch at Cmabrigde Uinervtisy, it deosn't mttaer in waht oredr the ltteers in...