Symbol Definition and 377 Threads

Homework Statement Is the covariant derivative of a Christoffel symbol equal to zero? It seems like it would be since it is composed of nothing but metrics, and the covariant derivative of any metric is zero, right?

Homework Statement If the basic equation for the Christoffel symbol is \Gamma^l_{ki} = \frac{1}{2} g^{lj} (\partial_k g_{ij} + \partial_i g_{jk} - \partial_j g_{ki}) so if you bring multiply the first metric into that equation, won't that turn the first two derivatives into derivatives...

In a paper, the authors write: From what I know of the standard incompressible equations, it seems that \rho \textbf{u} \otimes \textbf{u} = \rho (\textbf{u} \cdot \nabla)\textbf{u}, but otherwise, I have no idea what the \otimes symbol means.

I've been thinking about getting a tattoo. I was considering getting the infinity symbol inside of an absolute value. Or the absolute value of infinity. Whichever you prefer. How mathematically correct is that? The absolute value of infinity simplified is infinity is it not? Will I completely...

what does the symbol before the first "u" on the left side of the equation mean? It is found on this wiki page under the section "derivation in one dimension" http://en.wikipedia.org/wiki/Heat_equation the wiki page kind of just skipped a step, and didnt explain what the symbol...

Hi Does anyone know how to get the symbol for wavenumber, nu bar, in Word? Also if anyone has any tips on how to draw a triple bond quickly in Word. I'm happy to use the equal sign for a double bond thanks

The one that looks kind of like a stretched-out S?

Hello, I am interested in the electronic states of the N2 molecule. Now it is a homonuclear diatomic molecule and http://en.wikipedia.org/wiki/Molecular_term_symbol" ) but I do not understand what the Latin letters before the molecular term symbols mean. Here are some of the states X^{1}...

What is the meaning of the topleft most symbol in this Cockroft-Walton schematic? http://www.instructables.com/files/deriv/F85/ISAS/FL77XCRN/F85ISASFL77XCRN.MEDIUM.jpg It's the box with the zig zag line through it. I noticed that he is using boxes to denote resistors, but the zig zag line...

What does the symbol ≡ mean? For example: max_{x}[F(x,\alpha):g(x)\leq b,x\geq 0] \equiv G(\alpha,b) Thanks for your help. M

Homework Statement I have looked in all my textbooks but i can't find anything about this diode or what it does? Here is the symbol of that diode (from a City & Guilds past exam paper): http://img5.immage.de/2204diode.jpg Homework Equations It's just an unknown diode symbol to me, and there...

This is a theorem about Jacobi symbols in my textbook: Let n and m be ODD and positive. Then (a/nm)=(a/n)(a/m) and (ab/n)=(a/n)(b/n) Moreover, (i) If gcd(a,n)=1, then (a^2/n) = 1 = (a/n^2) (ii) If gcd(ab,nm)=1, then (ab^2/nm^2)=(a/n) ===================================== (i) is easy and...

Term Symbol for Carbon Total Angular Momentum 1. Write the term symnbols for carbon atom He2s22p2 which has two equivalent p electrons taking into account the Pauli exclusion principle. 2... 3. Since the carbon has two equivalent p-electrons, we know the l1=1 and that l2=1 as well. Also the...

"Let p be an odd prime, then we proved that the Legendre symbol Note that this can be easily computed if p is reduced modulo 8. For example, if p=59, then p≡3 (mod 8) and (-1)^{(p^2-1)/8} = (-1)^{(3^2-1)/8}" (quote from my textbook) ==================================== Now I don't...

Hello, I am having a little difficulty understanding what exactly the Levi-Civita symbol is about. In the past I believed that it was equal to 1, -1 and 0, depending on the number of permutations of i,j,k. I had just accepted that to be the extent of it. However, now I am seeing things...

Sorry to be asking again so soon, the help yesterday was great. I'm now trying to reach 2.17 from the generator commutation relation: [M^{\mu\nu}, M^{\rho\sigma}]=i\hbar(g^{\mu\rho}M^{\nu\sigma}-g^{\nu\rho}M^{\mu\sigma})+... 2.16 J is defined by its components as...

Hello everyone, I am stuck when I study Levi-Civita symbol. The question is how to prove \varepsilon_{ijk}\varepsilon_{lmn} = \det \begin{bmatrix} \delta_{il} & \delta_{im}& \delta_{in}\\ \delta_{jl} & \delta_{jm}& \delta_{jn}\\ \delta_{kl} & \delta_{km}& \delta_{kn}\\ \end{bmatrix}...

Hello, during a calculation I got the following term: \varepsilon^{i_1 \ldots i_n}\varepsilon_{j_1 \ldots j_n} (a_{i_1}^{j_1}\ldots a_{i_n}^{j_n}) where \varepsilon is the levi-civita symbol and a_i^j are real numbers. Is it possible to simplify that expression?

what is the mathematical symbol for and

I came across a few variations of the circuit symbol for thermistor. I've attached one below. I'm more used to the version with horizontal line at bottom left and rise to the top right. Is there any fixed or correct version? Or are all equally correct? i.e. the orientation of the line doesn't...

\begin{array}{l} \delta _{jk} A_k \\ \\ \delta _{jk} A_k = \left( {\delta _{1,1} + \delta _{1,2} + \delta _{1,3} + \delta _{2,1} + \delta _{2,2} + \delta _{2,3} + \delta _{3,1} + \delta _{3,2} + \delta _{3,3} } \right)A_k \\ \,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {1 + 0 + 0 +...

"O Plus" symbol I keep running across this symbol in a introduction to quantum computing text and I can't figure out what it stands for. If anyone could help me out I would appreciate it. The symbol is \oplus .

Homework Statement I have to derive the equation: I=\frac{m(g-R\alpha)R}{|\alpha_{friction}|+\alpha} The Attempt at a Solution What is |\alpha_{friction}| and how do i find it? And why do I use the absolute value of it? The experiment was that we had to measure the angular velocity of a...

Hello there! I am in a class of signal and communication systems and found this symbol: ‹[·]› But I can't figure what it means, teacher told us to research it. Been reading books like crazy and can't find anything. Hope you can help me. I put a picture of how he used it, if that helps you.

The metric of Euclidean \mathbb{R}^3 in spherical coordinates is ds^2=dr^2+r^2(d \theta^2 + \sin^2{\theta} d \phi^2). I am asked to calculate the Christoffel components \Gamma^{\sigma}{}_{\mu \nu} in this coordinate system. i'm not too sure how to go about this. it talks about ds^2 being...

I need to look for the presence of '////' in my data file i could read it as character since i need to eliminate them from the file, I've tried to avoid them using if(xx .eq. '////') then but is not working the error comes as if(mt.ne. '////')then...

Latex Question: I am having a hell of a time finding how to put the large vertical bar used to denote the interval over which a definite integral should be evaluated. Can you please help me?

Hello all, unfortunately I'm seeking help because I can't remember the name of a greek symbol from multivariable/vector calculus. \delta i think this is the correct one. it looks like a d with the tail cut off, and is used for denoting a specific differentiation of a variable amongst...

For various reasons, I have to rewrite part of my thesis in MS Word and Mathtype, after I wrote it in LaTeX. I used some notation in LaTeX from the amsmath package, which I'm finding very hard to reproduce satisfactorily in Mathtype. Take a look at the attached image. On the left there is...

Homework Statement http://img40.imageshack.us/img40/6421/57065635.jpg The Attempt at a Solution I just what to know what the hollow I symbol is? Is it just 1 0 0 0 1 0 0 0 1 Thank you!

Homework Statement An unknown nucleus contains 71 neutrons and has twice the volume of the nickel http://www.webassign.net/www32/symImages/f/1/3dca243bf11d1adbce4ca198d1973f.gif nucleus. Identify the unknown nucleus. Homework Equations r = (1.2X10^-15)(A^(1/3)) V= (4/3)(pi)(r)^3...

Hi, Does anyone know how to create the following symbol (in LaTeX): An exclamation mark directly above an equal sign. Thanks!

A representation of SU(2) is "pseudo-real". Can one form the product \phi^{\dagger i}\rho_{i} , where \phi_i and \rho_i transform in the fundamental representation? If a representation is complex, Krockner delta is an invariant symbol, so you can form such a product. SU(2) is not...

... as in \bold{R}^2\\{\bold{0}\} Used in context here http://books.google.com/books?id=4Y-ownk6ilsC&pg=PA70&lpg=PA70&dq=abraham+marsden+foundation+of+mechanics&source=bl&ots=KGabbhy6XM&sig=MNvhtxISRyHdHGC3waYvSZtd-qg&hl=en&ei=zOnKSfraKp_inQeShsjnCQ&sa=X&oi=book_result&resnum=1&ct=result top...

need help fast as coursework needed to handed by this monday

Why is the symbol for angular momentum "L?" So far, the best explanation I've come across is: This comes from the "right hand rule" of vector cross products. The vector for the radius, r-> and the vector for the translational momentum p-> when made into a cross product : r-> x p-> = L->...

Hello, can anybody tell me what is Wyckoff symbols? And what is the use of them? Please use a concrete example. Thanks

How can I derive the Christoffel symbol from the vanishing of the covariant derivative of the metric tensor? can somebody write the calculation, I read that I have to do some permutation and resumming but I don't get the result! Thank you!

It is like equal sign with ^ on top.

Homework Statement This problem asks you to compare two values and say whether one is greater, they are the same, or the problem does not give you enough information to answer the question. In this question they give you a symbol, in this case "+" and then define what it does to a number...

I have seen the symbol dx in differential equations, but recently I saw it appear in various other equations that I previously thought included Δx instead of dx. Are those two symbols the same? I mean, is Δx = dx = xfinal - xinitial ? This may be the wrong thread, but I am still a...

As I can't seem to find a way to post an attachment, here's a link to a page with the symbol. http://musr.phas.ubc.ca/symbols/ It is next to the text calO One can see it in a context at http://en.wikipedia.org/wiki/R-parity under the paragraph Proton Decay.

Hi, every one I'm newbie here. I have a few problem with my study about GR. Here's a problem \partial_a(g^{ad})g_{cd}-\partial_d(g^{ad})g_{ac}=\\0 Could I prove these relation by change index (in 1st term ) from a -> d and also d -> a? and let's defined {g}=det{\\g_{ab}\\}...

Question : g(x,y) = x^3 - 3x^2 + 5xy - 7y^2 Verify that ∇g(0,0) = 0 I looked on wiki and it said the vector of partial derivatives, so my g(x,y) would become ∇g = (3x^2 - 6x + 5y, 5x -14y) so what do i do from here? i don't see what its asking, do i plug x and y as 0 and show I get...

x=a1,b1,c1 y=a2,b2,c2 <x,y>+<x,y>= (a1*a2 +b1*b2 +c1*c2) + (a1*a2 +b1*b2 +c1*c2)=2*(a1*a2 +b1*b2 +c1*c2) i have <x,y> + <x,y> it written that it equals 2Re<x,y> what 2Re<x,y> means ??

help me here...symbol of an op-amp is triangular in shape...i need reason for this...why it is so...or where i can find regarding this.. similar que for transistor also...

How do you do this symbol in latex (a congruent sign with a slash through it)?

My physics teacher is using some sort of squiggly symbol that he's calling rho for density. It looks sort of like a backwards g. What is this symbol? How can I include it in my Google Docs reports/notes?

How do I do a wide check symbol in latex? A wide hat or wide tilde is easy, it is simply \widehat{long expression} or \widetilde{longexpression} There is no command for wide check, i.e an upside down hat.

1. The problem statement and attempt at solution Hey, I'm still trying to get my head around indicial notation. I'm finding it quite hard.. I think this is somewhat right, but I don't know if the answer is clear enough.. Any hints/comments are greatly appretiated! Thank you