Theorem Definition and 1000 Threads

There's something I don't quite get about most illustrations about Bell's inequality theorem. I will explain what: Consider a pair of entangled photons fired at two arbitrarily oriented polarizers. I most explications, it seems the author suggests that the hidden variable represents the binary...

Homework Statement A uniform solid ball of mass m and radius R rolls without slipping down a plane inclined at an angle f above the horizontal. Find the frictional force and the acceleration of the center of mass.[/B]Homework Equations τ=I*α so: fs*r=I*a Mg-Fs=ma Moment of inertia for...

Homework Statement x(t) = 6cos(t)−cos(6t) y(t) = 6sin(t)−sin(6t) 0 <= t <= 2*pi I need to find the area cm2 with Th Green. I need to find the radius and the center coordinate Homework EquationsThe Attempt at a Solution $ = integral 1/2* ( 2*pi$0 ((x)dy - (y)dx) dt ) 1/2 (2*pi$0...

Homework Statement An engineer is measuring a quantity q. It is assumed that there is a random error in each measurement, so the engineer will take n measurements and reports the average of the measurements as the estimated value of q. Specifically, if Yi is the value that is obtained in the...

Using Abel's thrm, find the wronskian between 2 soltions of the second order, linear ODE: x''+1/sqrt(t^3)x'+t^2x=0 t>0 I think I got the interal of 1/sqrt(t^3) to be 2t/sqrt(t^3) but this is very different to the other examples I've done where a ln is formed to cancel out the e in the formula...

I have been told on another forum I post to that there is a revolutionary theorem in physics which proves beyond doubt that the wavefunction (I presume meaning the one originally described by Schrodinger) is physically real. I have had various exchanges with the contributor who has told me this...

Given any integer A, and a positive integer B, there exist unique integers Q and R such that $$A= B * Q + R$$ where $$ 0 ≤ R < B$$. When is says that $$Q$$ and $$R$$ are unique, what does that mean? That they are different from each other?

For any int $$n $$ , prove that $$ 4 | n (n^2 - 1) (n + 2)$$. I know I have to use the quotient remainder theorem, but I'm wondering how to go about this problem. I'm not sure how to phrase this problem in English.

I've just watched half a dozen or so videos on shell theorem and I just can't get my head around something that none of the videos address directly, but seems so counter-intuitive I am assuming my understanding is incorrect. Can anyone help me out here? With all the usual simplifying conditions...

Is there any algebraic proof for Thevenin's theorem?

Hi, I am having some problems conceptualizing the Euler's Theorem. Any help will be greatly appreciated. In Goldstein's book the Euler's theorem is stated as 'Any displacement of a rigid body, whose one point remains fixed throughout, is a rotation about some axis', then he has proven that the...

Noether's theorem said that because of homogeneity in time the law of conservation of energy exists. I am bit of confused and I am not sure is also time inversion some consequence of this. For example in the case of free fall we have symmetry ## t \rightarrow -t##. I am sometimes confused of...

This just showed up from a team led by Zeilinger, for those interested in loophole-free Bell tests: http://arxiv.org/abs/1511.03190 A significant-loophole-free test of Bell's theorem with entangled photons Marissa Giustina, Marijn A. M. Versteegh, Soeren Wengerowsky, Johannes Handsteiner...

Homework Statement [/B] Find the current that flows through the ##8 \Omega## Homework Equations Thévenin's theorem The Attempt at a Solution the theorem says that I can replace all the circuit to a power source and a resistor connected in series. So first I need to connect all the power...

Some textbooks like (Numerical recipes the art of scientific computing) derive the DFT as a Riemann sum of the CTFT. With this in mind it would be natural then to approximate the identity ##y(t)=x*h=\mathcal{F}^{-1}\big\{XH\big\}## with the mathlab code y=ifft(fft(x).*fft(h)) which roughly...

I'm having trouble understanding an example supposed to motivate Bayes' theorem. Assume that 40% of all interstate highway accidents involve excessive speed on part of at least one of the drivers (event E) and that 30% involve alcohol use by at least one drives (event A). If alcohol is involved...

I am reading Joseph J. Rotman's book: Advanced Modern Algebra and I am currently focused on Section 6.1 Modules ... I need some help with the proof of Corollary 6.25 ... Corollary to Theorem 6.22 (Correspondence Theorem) ... ... Corollary 6.25 and its proof read as follows: Can someone explain...

Homework Statement why the y bar is 0 ? according to the diagram , y ' has certain value , it's not 0 ! can someone help to explain ? Homework EquationsThe Attempt at a Solution

I am reading Joseph J. Rotman's book: Advanced Modern Algebra and I am currently focused on Section 6.1 Modules ... I need some help with the proof of Corollary 6.25 ... Corollary to Theorem 6.22 (Correspondence Theorem) ... ... Corollary 6.25 and its proof read as follows:Can someone explain...

I am reading Joseph J. Rotman's book: Advanced Modern Algebra and I am currently focused on Section 6.1 Modules ... I need some help with the proof of Theorem 6.22 (Correspondence Theorem) ... ... Theorem 6.22 and its proof read as...

Homework Statement A student experimenting with model rockets measures the speed of a vertically-launched rocket to be 18.0 m/s when it is 75.0 m above the ground on the way up. The rocket engine fires from when the rocket is at ground level to when it is 8.75 m above the ground. If the rocket...

I have made two posts recently concerning the composition series of groups and have received considerable help from Euge and Deveno regarding this topic ... in particular, Euge and Deveno have pointed out the role of the Correspondence Theorem for Groups (Lattice Isomorphism Theorem for Groups)...

I am reading Paolo Aluffi's book, Algebra: Chapter 0 ... I am currently focused on Chapter 4, Section 3: Composition Series and Solvability ... I need help with an aspect of Aluffi's proof of the Jordan-Holder Theorem (Theorem 3.2, page 206) which reads as follows: Theorem 3.2 and the early...

Homework Statement Use Green''s Theorem in the plane to check: \oint_C (xy+y^2) \> dx + x^2 \> dy Where C is the closed curveof the region bound between the curve of y=x^2 and the line y=x Homework Equations \oint_C u \> dx + v \> dy = \int \int_A (\partial_x v - \partial_y u) \> dx \> dy...

So the theorem says: Suppose that ##U## and ##V## are finite dimensional vector spaces, and that ##T:U\to V##, ##S: V \to W##. Then ##\text{dim Ker }ST \le \text{dim Ker }S + \text{dim Ker }T##. Proof: Set ##U_0 = \text{Ker }ST## and ##V_0 = \text{Ker }S##. ##U_0## and ##V_0## are subspaces of...

I'm trying to follow this mathematical explanation of Bell's theorem. The problem I find is with the assumption of a probability density for the hidden variable. That implies - and my question is: am I wrong? why? - that you can expect the same distribution of such a variable for any repetition...

What are some cool things that people can do with the Pythagorean Theorem?

Find the set of solutions $x=x(r,s,t)$ such that $(r+2\mathbb{N})\cap (s+3\mathbb{N})\cap (t+5\mathbb{N})=x+n\mathbb{N}.$ Hello MHB :). Any hints for the problem?

I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.2: Chain Conditions ... which deals with Artinian and Noetherian rings and modules ... ... I need help with understanding a feature of the Theorem...

Homework Statement How to use binomial theorem for finding sums with binomial coefficients? Example: S={n\choose 1}-3{n\choose 3}+9{n\choose 5}-... How to represent this sum using \sum\limits notation (with binomial theorem)? Homework Equations (a+b)^n=\sum\limits_{k=0}^{n}{n\choose...

Homework Statement Homework Equations Partition function = ##\frac{z_{i+1}}{z_i} ## ##z = \Sigma_{j=1}^\infty g_j e^{\frac{-(E_j - E_i)}{KT}}## ##g_j = 2(j^2)## The Attempt at a Solution I should get 2, but I keep getting ##2 + 8e^7.8 + ... ## I used ##K = 1.38 \times 10^-23## and I converted...

My concern regards solving a class of somewhat ill-defined surface integrals occurring in Mathematical Physics and EMF Theory. I'll be using a simplified, representative example. Consider the surface S given by (x/2)^2 + (y/2)^2 + (z/3)^2 = 1 0 <= z. And the integral ∫F⋅ds where we have in...

Divergence can be defined as the net outward flux per unit volume and can be explained using Gauss' theorem. (I read this in Feynman lectures Vol. 2) In the next page, He derives Stokes' theorem using small squares. The left side of equation represents the total circulation of a vector...

W_{total} = \delta K What about lifting a block upward? If you lift a 10kg block vertically and bring it to a rest, you are doing work on it but the velocity in the beg and the end is 0, thus the equation says the work done on it is 0. But isn't there potential energy? Does the equation not...

Homework Statement Using the fact that \nabla \cdot r^3 \vec{r} = 6 r^2 (where \vec{F(\vec{r})} = r^3 \vec{r}) where S is the surface of a sphere of radius R centred at the origin. Homework Equations \int \int \int_V \nabla \cdot \vec{F} dV =\int \int_S \vec{F} \cdot d \vec{S} That is meant...

I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ... I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings. I need help with the proof of Theorem 3.1.4. A brief explanation of the proof precedes the...

Homework Statement What is the complexity of the following recurrence: T(n) = (9/4)T((2/3)n) + n² Homework Equations My question is: can I use the Master Theorem here? The Attempt at a Solution My attemp: a=9/4 b=3/(1/2) (this is where I think I may be wrong) f(n) = n² so, in this case T(n)...

Homework Statement A 15.0g bullet is accelerated from rest to a speed of 780m/s in a rifle barrel of length of 72.0cm a)Find the kinetic energy of the bullet as it leaves the barrel b)Use the work kinetic energy theorem to find the net work that is done on the bullet. (this problem had part...

Homework Statement Using Kelvin’s circulation theorem, find the qualitative and quantitative relation between the circulation around an airfoil and the circulation of the starting vortex. Homework Equations Kelvin's circulation theorem: DΓ/Dt=0 The Attempt at a Solution I don't really know...

hello all, I just wanted to check my worded interpretation of this otherwise messy result is ok:

I don't know how to find the thevenin's equivalence of a circuit. In this question,it is required to find the thevenin's equivalence of the circuit. Firstly,I found the Rth,and the Rth is 20ohm. But I had difficulty in finding the Vth. In the first step I redrew the circuit in the following...

I'm having a hard time understand this theorem in our book: The Plancherel Theorem The Fourier transform, defined originally on ##L^1\cap L^2## extends uniquely to a map from ##L^2## from ##L^2## to itself that satisfies ##\langle \hat f, \hat g \rangle = 2\pi \langle f,g\rangle## and ##||\hat...

1. Homework Statement The Attempt at a Solution I was wondering if I did something wrong for the 50m. I did the same process of finding the area under the line. I'm assuming it's possible to get the same speed since the net work is the same.[/B]

Homework Statement Hello guys! I am getting really desperate here and I'd be very glad for any help. I have the following circuit with 5 resistors :(excuse the drawings, I am in a hurry, I hope they are sufficient)http://s11.postimg.org/8mmd2pa2b/original.png And I am supposed to solve for...

Homework Statement Good day all, Im completely stumped on how to show this: |AN|=(|A||N|/A intersect N|) Here: A and N are subgroups in G and N is a normal subgroup. I denote the order on N by |N| Homework Equations [/B] Second Isomorphism TheoremThe Attempt at a Solution Well, I know...

Homework Statement How many times do we have to flip a balanced coin to be able to assert with a probability of at most .01 that the difference between the proportion of tails and .50 will be at least .04? Homework Equations P( |X-μ| ≥ kσ ) ≤ 1/k^2 The Attempt at a Solution I am very...

For the error bound for taylor's theorem, for the n+1 derivative evaluated at some c which maximizes the derivative my textbook says c must be between a and x..but today my teacher said that c must be between absolute value x and negative absolute value x, which is different than I thought. An...

I'm doing a small research project on group theory and its applications. The topic I wanted to investigate was Noether's theorem. I've only seen the easy proofs regarding translational symmetry, time symmetry and rotational symmetry (I'll post a link to illustrate what I mean by "the easy...

Hi, A potential magnetic field has no curl. According to the "curl theorem" or stokes theorem, a vector field with no curl does not close. Yet, Maxwell's equation tell us we shall not have magnetic monopoles, so the loops have to close... ? What am I missing to remove this apparent paradox of a...

Homework Statement Prove that $$\int_{-\pi/2}^{\pi/2}\frac{log(1+b\sin x)}{\sin x}dx=\pi \arcsin(b)$$ Where ##|b|\le1## Homework Equations $$\frac{d}{dx}\big(\int_a^bf(t)dt\big)=\int_a^b\frac{\partial f(t)}{\partial x}dx$$ The Attempt at a Solution Let...