Mean Definition and 1000 Threads

What does it mean by maximum work of an isothermal, reversible expansion of a perfect gas from initial volume Vi to final volume Vf at temperature T? I understand that heat enters the system during this expansion to ensure that no internal energy is lost but it doesn't really help in anyway...

My understanding: When we draw a triangle on a flat piece of paper and measure the angles using a protractor, the sum of the angles is ##180^\circ##. So we conclude that the universe is locally flat. Suppose we draw a very big triangle that spans across galaxies (say, using lasers and mirrors)...

Hi everybody, I was doing one asignment form class, I was tasked to prove that in one system, the arimetic mean of FD and BE distributions is equal to MB's distribution for undishtingable particles. After doing the numbers I found out that it actually was, but I don't know why this happens, can...

Hello! :) I just want to ask how, did the encircled portion come about? It says that it equates the $\hat{i}$ and $\hat{j}$ components. but when I tried that, this is what I get $0.5447F_{1}=F_{3}(\sin(\theta)-\cos(\theta))$ ---> This expression doesn't ring a bell. It doesn't make any sense...

Einstein wrote in a letter to Max Born that he feels that QM is not the true Jacob, quote: "Quantum mechanics demands serious attention. But an inner voice tells me that this is not the true Jacob. The theory accomplishes a lot, but it does not bring us closer to the secrets of the Old One. In...

Homework Statement If the energy ##E## of a system behaves like ## E = \alpha |x|^n##, where ## n =1, 2, 3, \dots ## and ## \alpha > 0##, show that ## \langle E \rangle = \xi k_B T ##, where ##\xi## is a numerical constant. Homework Equations $$ \langle E \rangle = \frac{ \int_{- \infty}^{...

I have been watching a few explanations of the Higgs boson/ Higgs field. From what I can understand is that all space if filled with a sea of Higgs bosons which create the Higgs field. Is the Higgs field a property of space and does it give space energy? As more space is created with the...

We know that Fourier Transform F(W) of function f(t) is summation from -infinity to +infinity product of f(t) and exp^{-j w t}Here, what does the exponential term mean?

If I have three sets of numbers A is numbers between 0 and 0.09 B is numbers between 0.091 and 0.011 C is numbers between 0.011 and 0.1 where the number of elements in A are say, 37, B are 16 and C are 178. So the three arrays have different numbers of points and different distances, plotting...

Homework Statement Devise the mean voltage and current in controlled and uncontrolled single device rectifier circuits with R-L series loads. Single circuit series circuit given of an AC voltage source, a uncontrolled diode, resistor, inductor. V = 240 v, F = 50 Hz, R = 10 ohms, L = 50 mH...

So i came to know that electrons residing across a tiny shell around fermi momentum takes part into the game of forming cooper pair but this phenomenon in real space is actually different. here all the electrons are taking part into this. what does it mean. i am not able to comprehend this...

What does it mean to take positive rational numbers to whole-number powers?

Homework Statement Prove the Mean Value Theorem for integrals by applying the Mean Value Theorem for derivatives to the function F(x) = \int_a^x \, f(t) \, dt Homework Equations [/B] Mean Value Theorem for integrals: If f is continuous on [a, b], then there exists a number c in [a, b]...

I've been looking at this proof -> http://basics.sjtu.edu.cn/~liguoqiang/teaching/comp14/materials/Ackermann.pdf At the bottom of the second page, there is this thing which looks like this: http://s24.postimg.org/sxtz7pef9/what.png Could someone please explain what that function with those...

1. On this question I really have no idea how they got these answers so I just need someone to walk me through it step by step please 2. Part B on this question I don't know how to get the correct answer either

There has been a lot of talk on jobs that computers are replacing and there does seem to be reports of computers replacing scientists altogether. There are articles like this: http://www.slate.com/articles/technology/robot_invasion/2011/09/robot_invasion_can_computers_replace_scientists_.html...

What makes a Lie group a real Lie group? I see on the Wikipedia page http://en.wikipedia.org/wiki/Lie_group "A real Lie group is a group that is also a finite-dimensional real smooth manifold" So when is a manifold a real manifold?

What is the difference between the drawing of the Eccentric Anomaly and the Mean Anomaly. http://www.philosophaie.com/EA.png One has a circle radius "a" inscribed an ellipse with a focus "F". The True Anomaly makes "f" makes an angle to point "P" then a perpendicular is drawn to a point on...

Is there any direct experiment to determine the value of mean free path(not the distribution) of a gas molecule?

Homework Statement Let ## a,b,c \in \mathbb{R}^{+} ##. Prove that $$ \sqrt[3]{abc} \leq \frac{a+b+c}{3}. $$ Note: ## a,b,c ## can be expressed as ## a = r^3, b = s^3, c = t^3 ## for ## r,s,t > 0##. Homework Equations ## P(a,b,c): a,b,c \in \mathbb{R}^{+} ## ## Q(a,b,c): \sqrt[3]{abc} \leq...

In a paper I'm reading the author keeps using the word "normalized". What does it mean?We use playback interruption time as our main metric. However, since the viewed length by a user varies widely, instead of just measuring total interruption time of each view, we normalize it by the viewed...

I'm a mechatronics engineering student, and I know that electronics is a requirement in most engineering programs. I'm been dealing with electronics recently and I've been studying electric circuits. I've been noticing that in some of them instead of being closed (in diagrams) they are like...

Having calculated that the momentum uncertainty, Δp, for an electron confined in a 1 dimensional box of a width, 10-15 m equivalent to a typical nuclear diameter, is (5.2x10^-20 [kg m s-1] ) Knowing also that nuclei often emit electrons with energies between 1 and 10 MeV. How do I calculate...

Homework Statement Homework Equations Given above The Attempt at a Solution I used polyfit, but my mean swuare errors are way bigger than they should be- don't see what is wrong with my code! My code is ugly btw, my apologies. %Hw 7 clear all close all y3=[1960; 1965; 1970; 1975; 1980...

so this is the question I'm having a little trouble with: Assume that the ratio of copper resistivity at room and absolute zero temperatures (so called "residual resistance ratio") is 1000. Estimate the electron mean free path in copper at low temperatures. we also know this: Let us assume...

This is from from Sakurai and Napolitano HW Prob #2.6. I've done the HW problem and can fit all the pieces together with the mathematical formalism, but even afterwards I'm still scratching my head wondering what I'm looking at. I start with the commutator [[H,x],x]. If I take...

The mean velocity of a wavepacket given by the general wavefunction: \Psi(x,t)=\frac{1}{\sqrt{2\pi}}\int dk A(k)e^{i(k x - \omega(k) t)}, can be expressed in two ways. First, we have that it's the time derivative of the mean position (i.e., its mean group velocity): \frac{d \langle...

I think I can safely say that nobody understands quantum mechanics. ~ Richard Feynman

why the solution for energy levels of electron in 1D crystal lattice as solved in Kronig penny model has used wave vector k differently then the Schrödinger equation solved for a free particle. (only the conditions in the equation has changed not the maths...so the "USE" of wavevector 'k' must...

Homework Statement I am doing an experiment where I try to the determine the mean lifetime of muons. I collected enough data and I put it in a histogram (attached file), but I have no idea how to calculate the mean lifetime with this. Homework Equations y(t)=Ne^(-t/τ), where τ is the mean...

Carmichael's function λ(n) gives smallest number "m" such that if x≡y mod m ⇒ ax ≡ ay mod n, but WHY? How did Carmichael figure this out?

hello everybody... how to easy find mean with multiple data with simple formula [shortcut formula]? please, see my picture.. thanks in advance... susanto3311

What do you mean by the term "energy density of radiation " between the frequency range f and f +df ?

$\sum_{i=1}^3 2 i = 12$

I ran across a project at the Univ. of Tennessee that has deployed a network of frequency meters around the power grid in the US. see http://fnetpublic.utk.edu/anglecontour.html I understand the frequency excursions may indicate unexpected events like generator trips or loss of load. What do...

The basic "nuclear physics for dummies" explanation of nuclear physics goes something like this: There are two dominant forces at play in atomic nuclei: the residual strong force (aka the nuclear force) which binds nucleons together and the electromagnetic force (or, more simply, the...

Homework Statement Verify Lagrange's MVT for ## f(x)= sinx - sin2x ## in [ 0, π ] Homework Equations ## f'(c) = \frac{f(b)-f(a)}{b-a} ## The Attempt at a Solution Got on solving cosx= 2cos2x How to find c lies in [0, π ]? Solved it using quadratic equation but it gives a complicated value...

Hi, I was reading an article about translucency and trasmittance and the term reflectivity contrast came up. Does anyone know what this may mean?

Hi. What do we mean unit SCFH AIR ? how can convert to m3/hr?

I don't think I've fully grasped the underlying ideas of this class, so at the moment I'm just sort of flailing for equations to plug stuff into... Homework Statement Show that in the mean field model, M is proportional to H1/3 at T=Tc and that at H=0, M is proportional to (Tc - T)1/2...

Simplistically, the GR equation is G = k T + l g G represents the curvature of the fabric of space-time T is the stress energy tensor, representing the fluxes and densities of matter and energy g is the metric tensor So... In another thread, someone said that the cosmological constant...

I was wondering, in the context of electron excitation and electron affinity, what it meant when we say that the electron absorbed energy or released energy. I think for electron excitation, the photon's energy, which is in the form of work= force time distance from the photon particle is...

Hi, I'm planning on using a mosfet with my raspberry pi to controll a circuit, using the GPIO pins which can be set to +3.3V or GND but I'm having problems with choosing the type of MOSFET I will need. I've found the data sheet for a possibility here http://www.diodes.com/datasheets/ZVP3306A.pdf...

Original context: "The capacitor acts like an open circuit to a constant voltage" Does it mean that the voltage across the capacitor is somehow being constant? Does it mean there an adjacent fixed voltage source? What is physically happening with the electrons that would make the capacitor...

Hi all. i am new in quantum mechanics and i am having difficulties in understanding wave nature of matter. what is exactly mean of it when we say wave nature of matter. Does it mean matter also move in waveform, oscillating or something else. How matter waves move? And please don't give examples...

There are a set of kids (let's say N=50) asked to sit in a row of seats, leaving at least one empty seat between them until all seats are filled. At the end, how do I calculate mean of the fraction of occupied seats? What will be the input to calculate mean?

Homework Statement "The Daily Planet ran a recent story about Kryptonite poisoning in the water supply after a recent event in Metropolis. Their usual field reporter, Clark Kent, called in sick and so Lois Lane reported the stories. Researchers plan to sample 288 individuals from Metropolis...

How do you do it

Homework Statement Homework Equations Lagrange's mean value theorem The Attempt at a Solution Applying LMVT, There exists c belonging to (0,1) which satisfies f'(c) = f(1)-f(0)/1 = -f(0) But this gets me nowhere close to the options... :(

If velocity is relative and dependent on an observer then how does an isolated object "approach the speed of light"? Approaching the speed of light relative to what? Does the ubiquitous constant velocity/closed compartment analogy break down at relativistic speeds? If one were traveling "near...