Symbols Definition and 294 Threads

Hi, I really wonder how these second derivatives can be written in terms of christofflel symbols. I have made so many search but could not find on internet What is the derivation of equations related to second derivatives in attachment?

Homework Statement Hi, We are trying to calculate the Coriolis acceleration from the Cristoffel symbols in spherical coordinates for the flat space. I think this problem is interesting because, maybe it's a good way if we want to do the calculations with a computer. We start whit the...

Hello What are the "debugging symbols" ? I have a naive idea about what the debugging symbols are, but based only in my short experience: for me, they are a kind of flags that can be read during the execution of the program, so you can track the execution. I have also discovered that if you...

Hey guy! I've just started learn physics and i ran into a problem. Can you guy let me know what is d and p mean in this

How are those scary looking symbols pronounced ?

Homework Statement Compare two strings which represent test scores for a 20 question exam. If the student scores 15 or higher, they pass. Less than that they fail. Indicate whether a student passes or fails. Display how many answers they got right and wrong. Display which number they got wrong...

Homework Statement Show that g(d \sigma ^k, \sigma _p \wedge \sigma _q) = \Gamma _{ipq} - \Gamma _{iqp}Homework Equations Given $$\omega_{ij}=\hat e_i \cdot d \hat e _j = \Gamma_{ijk} \sigma^k$$, we can also say that $$d \hat e_j = \omega^i_j \hat e_i$$. Where $$\sigma^k, \sigma_p, \sigma_q$$...

what does "Gg" represent ?

So the Schwarzschild metric is given by ds2= -(1-2M/r)dt2 + (1-2M/r)-1dr2+r2dθ2+r2sin2θ dφ2 and the Lagragian is ##{\frac{d}{dσ}}[{\frac{1}{L}}{\frac{dx^α}{dσ}}] + {\frac{∂L}{∂x^α}}=0## with L = dτ/dσ. So for each α=0,1,2,3 we have ##{\frac{d^2 x^1}{dτ^2}}=0## for Minkowski spacetime also...

Hi everyone, I was reading up on bit rate vs Baud speed, and sort of got myself straight with it, but I have a few questions.. First of all why isn't the term Baud still used? We see devices and speeds quoted at their bits per second speeds, but is this just by convention now, or is baud speed...

i can follow the equations but i don't know what the symbols mean for quantum and astro would be best

If you want to define a covariant derivative which transforms correctly, you need to define it as ##\nabla_i f_j = \partial_i f_j - f_k \Gamma^k_{ij}##, where ##\Gamma^k_{ij}## has the transformation property ##\bar{\Gamma}^k_{ij} = \frac{\partial \bar{x}_k}{\partial x_c}\frac{\partial...

Homework Statement Okay, in Carrol's Intro to Spacetime and Geometry, Chapter 4, Eq. 4.63 to 4.65 require a derivation of a difference between Christoffel Symbol. I did the calculation and found my answer to be somewhat correct in form, but the indices doesn't match up Homework Equations So...

In Carroll's GR book (pg. 96), the transformation law for Christoffel symbols is derived from the requirement that the covariant derivative be tensorial. I think I understand that, and the derivation Carroll carries out, up until this step (I have a very simple question here, I believe-...

I'm confused about the terminals in the picture above simply because I've seen the exact same thing mean 2 different things in schematics, namely: (1) it is an open circuit with voltage Vi(t) (2) The terminals are connected to some other circuit and thus have a voltage/current source, and the...

Can we use Greek symbols on Matlab workspace? If so, how can we use them? I have made a search, most of the replies on the net was that Greek symbols cannot be used on workspace. Thank you.

Hi, When I using Matlab 2008, the symbols and numbers were big enough to see but now I use Matlab 2013 but symbols and numbers or what I write is too little. How can I make them bigger? Thank you.

I have failed to Google the answer because I don't even know what to call it. You know that little "E" used in Engineering notation that lacks serifs? How do I make that "E"?

Each two numbers whose difference is 25 x = larger number x-25 = smaller number Are my answers correct? Thanks!

looking at notes on functional analysis for self study. the authors I have stumbled across so far launch straight into the formal theory. I can't find any middle ground of intuitive motivations for the theory as yet. I am assuming the following is part of set theory? I can't follow the arguments...

Hi, I recently tried to derive the equations for a geodesic path on a sphere of radius 1 (which are supposed to come out to be a great circle) using the formula \dfrac{d^2 x^a}{dt^2}+\Gamma^a_{bc} \dfrac{dx^b}{dt}\dfrac{dx^c}{dt}=0 for the geodesic equation, with the metric...

Homework Statement Homework Equations Right Hand Rule #3 The Attempt at a Solution For #11 I can do b) left f) downward But I don't understand how to do a,c,e because I don't understand how to use RHR 3 with those inward/outward info for V. And I don't understand D because it doesn't...

I've tried to figure it out but did not find them: Does anybody know how to code the symbols of "does not divide" = "not |" and "is not congruent to" = "not ≡" in LaTex? Thanks for reading.

Hello I VAGUELY recall reading somewhere (in the history of math), that there were intense and emotional (almost physical) arguments over who would use (claim?) what letter for what purpose in calculus: Δ δ d D ∂ Is this true? Can someone provide a reference? (I could be mistaken.) (My...

Homework Statement A car is 12 m from the bottom of a ramp that is 8.0 m long at its base and 6.0 m high. The car moves from rest toward the ramp with an acceleration of magnitude 2.5 m/s2. At some instant after the car begins moving, a crate is released from rest from some position along the...

I've attempted to derive an expression for the Christoffel symbols (of the 2nd kind) solely in terms of the covariant and contravariant forms of the metric by only using the definition of the Christoffel symbols. I would like to know if my approach is correct or not. The Christoffel symbols are...

Do we need a keyboard for that.There are apps. Or can we write some code or latex? Or does whatsapp or google having so many developers even accept mathematical symbols like the θ sign or ∫ sign?

So, I'm trying to think of some way to formulate a "Conservation of Symbols" Law of Mathematics. Something like this: By "symbol" I mean any atomic variable, constant, digit, operator, bracket, etc., that is present in a syntactically correct expression, equation, or inequality. So the...

Homework Statement The conical bearing is placed in a lubricating Newtonian fluid having a viscosity μ. Determine the torque T required to rotate the bearing with a constant angular velocity of ω. Assume the velocity profile along the thickness t of the fluid is linear. Homework Equations v=ωr...

In Sean Carroll's Lecture Notes on General Relativity (Chapter 3, Page 60), in the chapter on Curvature, he derives the definition of the Christoffels Symbols by assuming the connection is metric compatible and torsion free. He then takes the covariant derivative of the metric and cycles through...

These two symbols lose me. I am making something for a project and cannot figure the two circled in red out. This circuit is for a disposable camera.

Homework Statement Write down the geodesic equation. For ##x^0 = c\tau## and ##x^i = constant##, find the condition on the christoffel symbols ##\Gamma^\mu~_{\alpha \beta}##. Show these conditions always work when the metric is of the form ##ds^2 = -c^2dt^2 +g_{ij}dx^idx^j##.Homework...

Hi, I'm new to the forum, and I am very sorry if this has been asked before. I am Japanese and therefore my English might be a little bit awkward. I want to ask about term symbols and if they can be used to derive electron configuration in lanthanides. First of all, I do not major in Physics...

Hi, In this article there are some symbols that I do not know what they are can you help me identify them? http://www.ijimt.org/papers/419-D0260.pdf Page 347 at the top the equation for CL what does the 'R' stand for? And while we are looking at the same equation. |w| is the magnitude of ball...

Terrm symbols are really letting me confused. A spectroscopic term or term symbol is used to identify different arrangments of a given electronic configuration. For example, to carbon in ground state (1s² 2s² 2p²) there are a lot of different possible values for ml and ms, and term symbols can...

is the set of symbols that make up strings denoted by the symbol Σ or Σ* , also what is this difference?

Homework Statement Proove that... (AxB)x(CxD)=(A.BxD)C-(A.BxC)D=(A.CxD)B-(B.CxD)A using Permutation Symbols Homework EquationsThe Attempt at a Solution I am confused about what to do after the third line from 'vela's response' (Post #2 from the reference link below). Reference...

I am frustrated because although I put in the symbol for \sqrt{x} it doesn't translate it to the symbol. How can I get the **** thing to do that?

Homework Statement [/B] (a) Find christoffel symbols and ricci tensor (b) Find the transformation to the usual flat space form ## g_{\mu v} = diag (-1,1,1,1)##. Homework EquationsThe Attempt at a Solution Part(a) [/B] I have found the metric to be ## g_{tt} = g^{tt} = -1, g_{xt} = g_{tx} =...

I'm having trouble with translating this english sentence into logic symbols. The sentence is The numbers four and five aren't both prime, but the numbers five and seven are. I was thinking ~(F&I)v(IvS) but I really don't know how to deal with the "but". Thanks

Use Logarithms to compute the following, correct to four- accuracy. (In find N from Log N, don't interpolate).26. $$(\log\left({0.007211}\right))^3$$ Let N=$$(\log\left({0.007211}\right))^3$$ Then $\log\left({(\log\left({0.007211}\right))^3}\right)$=$$\log\left({N}\right) $\therefore$...

Homework Statement I wanted to ask why the symbols of capacitor , resistor and inductor is such which they have..?? Why are we denoting capacitor by 2 parallel plates why not 2 zig-zag plates..and same for inductor??Homework EquationsThe Attempt at a Solution As much I got , resistor has such...

could you please look at the pic and tell what these two process diagram symbles are.

Homework Statement I'm having trouble figuring out how to use Christoffel symbols. Apart from the first three terms here, I can't understand what's going on between line 3 and 4. What formulas/definitions are being used? How do you find the product of two chirstoffel symbols? Where are all the...

Hi everyone, first time on the forum, so please feel free to give me unsolicited advice on if there's a better place to post this: if i have a function f(x), is there a way to symbolize 'solve for x'. for example, if f(x) == 3x^2, and I'm setting f(x) = 3, I want to be able to symbolically do...

Hi folks, 1. Homework Statement I don't fully understand the question statement, how is it supposed to be read? Question: Give a formula for the minimizer x* (to be read as x-star) of the function ƒ:ℝn → ℝ, x → ƒ(x) = ||Ax-b||22, where A∈ℝm×n and b∈ℝm are given. You can assume that A has rank...

So, it is defined that: Γλμυ = Γλμυ + δΓλμυ This makes obvious to see that the variation of the connection, which is defined as a difference of 2 connections, is indeed a tensor. Therefore we can express it as a sum of covariant derivatives. δΓλμυ = ½gλν(-∇λδgμν + ∇μδgλν + ∇νδgλμ) However...

In the previous version of PF, there was some sort of list from which one can select mathematical symbols (for the LaTex layman). However, I can't seem to find this option in PF 4.0. Can someone please tell me where it got moved to (if not deleted)? This feature was extremely helpful and...

Hi, I just started the chapter work and kinetic energy in my physics book, and I'm uncertain about the meaning of two symbols. They are 'F sub "two vertical lines"' and 'F sub "an upside down T/perpendicular symbol"'? Does it mean cos∠ and sin∠, respectively? Nevermind, I figured it out...

Is asking for the voltage of a point in a wire (before/after a resister) the same as asking for the voltage across that resister? I understand voltage is relative.. Here is the circuit: I can't wrap my head around what V1 represents. Other questions in this assignment specifically ask...