Connection Definition and 498 Threads

Homework Statement The two polynomial eqns have the same coefficients, if switched order: a_0 x_n+ a_1 x_n-1 + a_2 x_n-2 + … + a_n-2 x_2 + a_n-1 x + a_n = 0 …….(1) a_n x_n+ a_n-1 x_n-1 + a_n-2 x_n-2 + … + a_2 x_2 + a_1 x + a_0 = 0 …….(2) what is the connection between the roots of...

Hey all, making my way through Landau and Lifgarbagez classical theory of fields and i had a specific question on the Einstein equations. Following the palatini approach, we assume that the connection and metric are independent variables and are not related a priori. In the footnote, they say...

Homework Statement Determine whether the series is absolutely convergent, conditionally convergent, or divergent. ##\sum _{n=1}\left( -1\right) ^{n}\dfrac {n} {n^{2}+1}## the sum goes to infinity. Homework Equations Theorem for absolute convergence. Test for divergence The Attempt...

A popular remote desktop connection issue at present shows up in my head making me wonder whether or not what I am thinking is correct at all. I am a Windows internals novice so please be prepared with my ignorance. For security reason I suppose later versions of Windows (post-XP) have been...

is it true that the ionic mobility increases with the decrease of the ionic size?

For the following two-dimensional metric ds^2 = a^2(d\theta^2 + \sin^2{\theta}d\phi^2) using the Euler-Lagrange equations reveal the following equations of motion \ddot{\phi} + 2\frac{\cos{\theta}}{\sin{\theta}}\dot{\theta}\dot{\phi} = 0 \ddot{\theta} -...

My son pulled the wires off of the charging plug for his motorcycle (mini-bike). I can use a Fluke to determine what side is positive comming from the charger, and trace the positive side from the battery to the charging socket. My question is when charging do I connect the positive side of...

Hi, I am studying thermal radiation. Does anyone know what is a connection between emissivity and albedo. Regards, Mike

Hi all, I've been fiddling around with this problem for a while. I intuitively understand that the parallel propagator is the path integral of the connection. I would like to be able to show the converse (connection is derivative of parallel propagator) mathematically, and I am having a...

they are in two different generations, but they would behave in the exact same way. maybe we can tell from neutrinos? Thanks!

I want to measure the temperature of a metal stage where I am holding a sample. What I have done is to clamp both wires from a thermocouple against the stage using a bolt and washer. Supposedly this is not the best practice but I don't see why this would be a problem. I have read that you are...

Hi there, I am reading some introduction of crystal and the book mention that we can use the x-ray to explore the structure of the crystal. I more or less understand the idea between that, it is kinda like scatter the incoming wave and observe the outgoing wave. But the mystery stated in the...

Yes, it is about OPERA experiment, but it has nothing to do with neutrinos. Can someone try to explain how is it technically possible that faulty connection could be responsible for additional signal delay? I understand it can make the signal unreadable, but delayed by 60 ns? Main reason I...

The connection \nabla is defined in terms of its action on tensor fields. For example, acting on a vector field Y with respect to another vector field X we get \nabla_X Y = X^\mu ({Y^\alpha}_{,\mu} + Y^\nu {\Gamma^\alpha}_{\mu\nu})e_\alpha = X^\mu {Y^\alpha}_{;\mu}e_\alpha and we call...

I don't know if this is the right place to ask this, but I'll give it a try. I have a PC with a rather noisy fan which I'd like to replace so I got a new one with lower RPM and of better quality. However, there is one little problem: The PC won't boot with the new fan. I contacted the...

How to show: Tabc = \Gammaabc - \Gammaacb is a Tensor of rank (1,2) Attempted solution: 1. Using definition of Covariant Derivative: DbTa= ∂aTa+\GammaabcTc (1) DcTa= ∂cTa+\GammaacbTb (2) I subtracted (2) from (1) but I...

I'm trying to make a wireless energy experiment by using LC circuits as resonators. But within this circuit you can either make the inductor and capacitor in series or in parallel. What do the different combinations do to the circuit? Is there one that is ideal for some circumstances?

Moving from a schematic diagram to real circuits. I have a few questions: Since the ammeter should be connected in series, why should the positive pole of a battery be connected to the ammeter's "positive" plug. Won't it be connected in parallel that way? If you didn't get what I mean see the...

Hey there! Having some difficulty with this question... is there any proportionality law between potential difference and velocity? An electric charge accelerated from rest through a potential difference of 250 V reaches a speed of 9.4
x 10^6 m/s. What speed will this same charge reach...

Hey All, I am familiar with some of the practices of bolted connections between steel plates, or steel beams etc. I am currently facing a design problem at work dealing with a composite metal panel being screwed to a hallow PVC beam. The PVC beam is screwed into a hallow aluminum beam...

Homework Statement [See Attachment] Given: Thickness, load, G Find:γ and horizontal displacement. Homework Equations τ=γG Angle change should be the shear strain. The Attempt at a Solution I tried plugging 800 into tau and the given value of G to get γ, but that isn't...

How can I see that the generators of the Galilean group correspond to energy, momentum, etc.? References which cover the Galilean group and algebra as well as their realization in phase space are appreciated, especially if they are not too sophisticated. Thanks kith

Hey, how can we connect two auto-bots(one line follower & other follows the path of the other in another plane) by wires? Is it possible two program the line follower such that it will send signal to another through wires, to start the motor of the other? how is it possible?

[FONT="Tahoma"][SIZE="3"]Living out in the country has it's advantages and disadvantages. The wireless connection is bad. Trying to get from the house to a steel garage. Using a wireless device hard-wired to pc in house but the connection won't go into the garage. Garage is about 35 to 40 ft...

Hi all, I'm reading Sean Carroll's Space Time and Geometry and haven't figure out how equation 4.64 is derived, where he is in the process of deriving Einstein's equation from Hilbert action. Given there is a variation of the metric, g_{\mu\nu} \rightarrow g_{\mu\nu} + \delta g_{\mu\nu}, The...

So do I has the craziest question evers! YAY ME. Anyhow, I have an old piece of video capture hardware, but the problem is I am missing the power plug thingamabobber :(. SADFACE. And by that, I mean... Now, I have a 5-12V adjustable power supply (cost me like $150 and only used it like...

Hi all, To my understanding, the Levi-Civita connection is the torsion-free connection on the tangent bundle preserving a given Riemannian metric. Furthermore, given any affine connection ∇, there is a unique torsion-free connection ∇′ with the same family of affinely parametrized geodesics...

I am working on a project that uses a Faraday cup. Its consists of a metallic cylinder(pipe like) with an electrode at the bottom.The ions enter the cylinder and hit the electrode.The resulting current is carried away from the electrode to an amplifier by a wire .The electrode that i am using is...

The first thing I remember hearing about in QM was the time-independent 1-D schrodinger equation, Hψ = (\frac{-\hbar^2}{2m}\frac{d^2}{dx^2} + V)ψ(x) = Eψ(x) . This is an eigenvalue equation, the Hamiltonian operator H operating on the energy eigenstate ψ to produce the product of the energy...

Homework Statement What is the connection between simple harmonic motion and pendulum motion? Homework Equations Harmonic motion period=T=2piroot(m/k) Pendulum motion period=T=2piroot(L/g) The Attempt at a Solution Conservation of momentum?? Thanks for any help!

Hello, I'm trying to find a table of basic connection coefficients. My GREAT desire is to find a table that includes the metric, connection coeffs, Riemann tensor, Ricci tensor and Ricci scalar for NORDSTROM's 1913 scalar theory of gravity. Does anyone know an online source of this info...

It's been a while since I've met a girl I'm actually very attracted to and feel some kind of connection with, on a personal level. This is largely due to me not being out much and even more due to me not making the effort to try connecting at some level with the person in question. Why? At some...

Curvature form with respect to principal connection Hi all, I have a question. Let us suppose that P is a principal bundle with G standard group, \omega a principal connection (as a split of tangent space in direct sum of vertical and horizontal vectors, at every point in a differential way)...

Hi, I'm reading this wikipedia article on the metric connection, and it says that the Levi-Civita connection is a metric connection without torsion. If the metric connection is defined so that the covariant derivative of the metric is 0, how can there be torsion? Doesn't this condition force the...

Hi guyz, I need some help in choosing the shaft couplings to connect the motor to the gear and from gear to the wheel. The motor shaft is 11 mm and the gear shaft is 24 mm. (Max torque 2 Nm, Max speed 70 rpm) Output of the gear shaft is 32 mm and the wheel shaft is 30 mm. (Max torque...

I was reading "Reinventing Gravity - A Physicist Goes Beyond Einstein" by Mr. John Moffat, btw it's a really good book for understanding introductary level of classical and theoretical physics, anyway a passage there caught my eye. I'm not finished with book yet but the author expressed/chose...

As in the case of fear how does thought stimlate adrenal glands? Not so much thought but the instant recognition of a threat causes the release of adrenaline. But there must be an electrical event which is recognition. EEG's show this. But there must be specialized receptors for the...

We have a short film project in Physics about the role of Physics in our course. I am a pharmacy student and me and my 3 teammates tried to write a plot summary but our storyline is not that good. Can you provide me with any ideas we can do for our project? Thanks!

Bosoms (energy'ish) are 1 spin integers, Fermions (mass'ish) are 1/2 spin integers. KE=1/2MV^2 E=1MV^2 I've only been trying to wrap my puny mind around spin for longer than 10 years, these spins creates magnetic poles right? In all 3 dimensions?

We all are familiar with the kind of differential geometry where some affine connection always exists to relate various tangent spaces distributed over the manifold, and from this connection two fundamental tensors, namely the Cartan's torsion and the Riemann-Christoffel curvature, arise. Is it...

i am confused on how to find the line currents when there is a line impedance in between the wye source and delta load... is it wrong to directly add the line impedance and the delta load without converting first the delta load to wye...? is there a way that i can find the line currents and...

e=mc2 mass is same as energy along with a multiplier c2 when fusion takes place photon is lost n mass is decreased can we then say mass is made of light,or mass is light conglomerated or saturated.

I want to teach Carlo Rovelii's Quantum Gravity by myself, however I got stuck just at beginning , I have never seen the differential form of Einstein equation and the conception of spin connecttion in common textbook such as Wald's, where can I learn these things?Help me!

Hi all, I would like to know what is the relation between charge and mass (of electron/proton/neutron). How far their masses involve in force that exists between them ?

Hi there, I'm hoping for a free piece of software that acts much like this - http://www.microsoft.com/windowsxp/downloads/tools/rdclientdl.mspx - but can run on a Windows XP Home desktop and Windows 7 Home laptop. Being able to connect to the laptop via the computer and vice versa is a must...

A hypersurface of Euclidean space obtains its Levi-Civita connection by orthogonal projection of ordinary derivatives of vector fields in Euclidean space onto the hypersurface's tangent space. Suppose rather than the unit normal, there is a non-zero transverse vector field and orthogonal...

I'm brushing up on my knowledge behind the physics of NMR. Turns out there was a lot I had misconceptions about; I thought it was very similar to absorbance/transmittance spectroscopy. I read some material about it which threw that idea out the window. I'm now looking at a video that shows a...

Hello! I have a few questions about how the Affine connection works. I know the geodesic equation; \Gamma^{\lambda}_{\mu \nu} = \frac{\partial x^{\lambda}}{\partial \xi^{\alpha}} \frac{\partial^{2} \xi^{\alpha}}{\partial x^{\nu} \partial x^{\mu}} So, for example, if I had the...

Suppose in whatever physical theory we are using, our derivative does not satisfy \nabla_X g=0 for tangent fields X. Of course, this means that parallel-transported vectors do not preserve their length. But what would this look like physically? Perhaps there are various consequences which...

I don't know if the tex is displaying properly. On my computer all I see is the geodesic equations in every tex field. In the past when this has happened, it has been fine for others viewing it, but if it doesn't make sense, I will upload a pdf or something. Thanks. Homework Statement The...