Symbols Definition and 294 Threads

Homework Statement How do I show the following metric have time-like geodesics, if \theta and R are constants ds^{2} = R^{2} (-dt^{2} + (cosh(t))^{2} d\theta^{2}) Homework Equations v^{a}v_{a} = -1 for time-like geodesic, where v^{a} is the tangent vector along the curve The Attempt at a...

"E2 - p2c2 = m2c4" - Meaning of symbols What do the symbols mean in the equation- E2 - p2c2 = m2c4 I know this is so basic, but I am really confused about what all are rest parameters here, and what all involve Lorentz factor...

http://en.wikipedia.org/wiki/Synesthesia#People_with_synesthesia I found this facinating. It seems some people percieve individual symbols, characters, numbers, and letters as having their own color. Not only that, but it appears there can be any number of mixing of the senses. Perhaps...

I am learning about christoffel symbols and there is a pretty standard representation of christoffel symbols as a linear combination of products of the metric tensor and the metric tensors derivative. However when this is derived it is always done in a hoakey manner. Something along the lines of...

To the viewer of this post, What is a good source for the symbols used in a P&ID? I would like to have a textbook or similar which would have all (if possible, or a majority) which I could easily reference to now and in the future when drawing/analysis P&ID's. Kind regards, pavadrin

Does anyone know where I can find a list of Christoffel Symbols for various metrics? Metrics of general forms, as well as famous ones like Schwarzschild and Robertson-Walker? Yes, I can calculate them all if I really need to, but it's pretty tedious.

I'd like to get better at writing mathematical statements using logical symbols. Let's start out with something simple. "For every A with property x, there's a B with property y". How should I write that? I don't even know if there's a symbol for "with property". How about this? \forall...

My physics professor used a symbol in his notes that I was unfamiliar with, and so far the closest thing I have found to it is the propto. The only difference is that my prof used it vertically, with the open side up. I'm wondering if this is a different symbol entirely, or if he just tipped it...

A lot of times, when I look at something written in logic, there are these strange symbols popping out everywhere. Examples include an upside-down A, a giant V or U, or an upside-down V. Could you point me to an article describing what these symbols mean?

hello, i have a question about christoffel symbols . if we have :- http://www.tobikat.com how can I derive these equations :- [PLAIN][PLAIN]http://www.tobikat.com please i want the answer be clear . with very thanks...

In 'AN INTRODUCTION TO SET THEORY' by Professor William A. R. Weiss, the following symbols are applied to the snippet below: ... The collection of formulas of set theory is defined as follows: 1. An atomic formula is a formula. 2. If ϕ and Ψ are formulas, then (ϕ ^ Ψ) is also a formula. ... I...

Can someone help me to put in symbols such as derivative symbols and such? Thanks.

I have that g=L^2 \left( e^{-2U} \left( e^{2A} \left( -dt^2 + d \theta^2 \right) + R^2 dy^2 \right) + e^{2U} dx^2 \right) is the metric on my spacetime. taking \{ t, \theta, x , y \} as a coordinate system for the manifol M, i can write this in matrix form as g_{ab}=L^2 \left( \begin...

Last week I found wolfram alpha by random chance and it blew my mind, a couple days later I ran across this channel on youtube, and I can't stop watching their videos. I'm officially saying it's the greatest youtube channel ever. You will love it, trust me...

Homework Statement I'm trying (on my own) to derive the geodesic for a sphere of radius a using the geodesic equation \ddot{u}^i + \Gamma^i_{jk}\dot{u}^j\dot{u}^k, where \Gamma^i_{jk} are the Christoffel symbols of the second kind, \dot{u} and \ddot{u} are the the first and second...

http://en.wikipedia.org/wiki/Christoffel_symbols#Definition start with 0=\frac{\partial g_{ik}}{\partial x^l}-g_{mk}\Gamma^m_{il}-g_{im}\Gamma^m_{kl} in wiki it said "By permuting the indices, and resumming, one can solve explicitly for the Christoffel symbols as a function of the metric...

I am in an online chemistry course and its going well except for this particular type of problems. It states letters and tells me to write what isotope it is. Here goes... Write isotopic symbols of the form X-A (e.g., C-13) for each of the following isotopes. the a isotope with n(subscript...

Homework Statement 1) Show that \epsilon_{ijk,m}=0 and (\sqrt{g})_{,k}=0 . Where ' ,k ' , stands for covariant derivative and \epsilon is the epsilon permutation symbol. 2) where the {} is for christoffel symbol of the second kind. Homework Equations The Attempt at a...

Homework Statement This is a problem in General Relativity, where I am trying to find the Christoffel symbols that correspond to a given metric. Any help would be greatly appreciated! OK. I have been given the metric ds^2 = (1+gx)^2 dt^2 - dx^2 - dy^2 - dz^2 and have been...

This may be the wrong place to put this thread, but it appeared to be the best option. Does anyone know of an easier way to set up physics equations online other then finding the keystroke or inserting a symbol? It's a pain to hold ALT on my mac and hit every key trying to find an integral...

ROUGH DRAFT I have a beginner's basic question: 1. Schwarzschild Metric components Let \epsilon = rs / r, where rs is the Schwarzschild Radius. Then, as is is well-known: g_{00} = 1 - \epsilon g_{11} = - \left( 1 - \epsilon \right)^{-1} g_{22} = - r^{2} g_{33} = - r^{2} \; sin^{2}(\theta)...

Does anyone have a link or some source for all of the scientific symbols used in equations like this one E=mc2, I know that one doesn't really have any sybols in but I mean like the really long and complicated ones (((THIS IS NOT HOMEWORK!)))

1. Hi, I am learning calculus off the interenet so that i may learn more advanced physics equations, but sadly I am being held back because i cannot find the meaning of the symbols without the explanation being based around some seemingly random equation like ∫ab x2 dx = b3/3 − a3/3 + blah...

I believe there is a way of calculating Christoffel symbols which is easier and less time-consuming than using the metric formula directly. This involves writing down the Lagrangian in a form that just includes the kinetic energy assuming zero potential energy and then equating the coefficient...

Homework Statement (a) Consider a 2-dimensional manifold M with the following line element ds2=dy2+(1/z2)dz2 For which values of z is this line element well defined. (b) Find the non-vanishing Christoffel symbols (c) Obtain the geodesic equations parameterised by l. (d) Solve...

Hi, how would I write out the definition of "uniform convergence" of a function f(x,y) with as few a possible words and using symbols like \forall?

What is the name of this symbols. See Attachment.

I'm sort of confused about Christofel symbols being called tensors. I thought that to be considered a tensor, the tensor had to obey the standard component transformation law. For example...

Hi all! I read about tensor analysis and came about following expressions, where also a questions arose which I cannot explain to me. Perhaps you could help me: I: Consider the following expressions: d\vec v=dc^k e^{(k)} d\vec v=dc^k e_{(k)} where: dc^k=dv^k+v^t\Gamma_{wt}^k dx^w...

I apologize, I know this is not a QM question per se but I think I am more likely to find someone who could answer this here. I'd like to know (or rather, be reminded of) how to draw contraction symbols in LaTeX (or TeX). I mean the symbol we use to show how two fields are "paired up" when...

Lambda is the quantum number for the total orbital angular momentum of the electrons about the internuclear axis. Unlike in atoms, the cylindrical symmetry created by the strong electric field of the nuclei in a linear molecule destroys the relationship [H ,L^2] = 0. Can anyone tell me...

Atoms have Terms Symbols such as S (L=0), P (L=1), D (L=2), etc...In case of molecules, L no longer exists as other symbols are uesd: which ones?

I have a good understanding of general quantum physics but not so much of an understanding of the mathematics around equations, such as the equations on wikipeadia under the quantum physics page to understand any of the equations you much first know what the symbols in the equation means can...

i got two groups of numbers "a" and "b" what is the meaning of a\b and b\a ??

What symbol is a small vertical bar with an arrow? I know a plain arrow is "determines". Is there a good site that lists the vocabulary of mathematicians?

What's the difference between sigma sub i,j and sigma sup i,j??thanks.

Homework Statement Determine Div E and Curl E for each of the following vector fields: \vec{E} = (\hat{x} - \hat{z})cos(3(x - z)) \vec{E} = (\hat{x} + \hat{z})sin(3y) Homework Equations N/A The Attempt at a Solution I can do the div and curl, but I am uncertain what...

Hi guys, I'm studying C. symbols for my G.R. class and have some doubts I hope you can clear out. First, I just saw this in the wikipedia article for C.s.: 0 = gik;l= gik;l - gmk \Gammamil - gim \Gammamkl By permuting the indices, and resumming, one can solve explicitly for the Christoffel...

Homework Statement show that the definition of the invariant divergence divA = 1/√g ∂i (√g Ai) is equivalent to the other invariant definition divA = Ai;i Ai;k = ∂Ai/∂xk + ГiklAl Гkij = gkl/2 (∂gil/∂xj+∂glj/∂xi-∂gij/∂xl) Homework Equations g is the metric tensor...

Homework Statement I'm taking an online physics course and I do not understand what the symbols mean in the question. The question is: Which of the following is a shorthand way of stating that "the temperature change of a substance is directly propertional to the quantity of heat added"...

so i can write the symbols correctly instead of saying x^2/(4 theta *pi) i can learn how to type them in so you guys can undestand me a lot better

Homework Statement Prove uppsidxe Ax, (x is an element Z^+ arrow backwords Ey, backwords Ez, ((y is an element of Q)^(Z is an element of Q)^(yz is not equal to 0)^(x^2=y^2+z^2) Homework Equations The Attempt at a Solution Could someone first help me put this into words? Is it...

Can someone explain to me why different terms arising from a particular electron configuration have different energies? For example, for carbon in the configuration 1s^22s^22p^2 three terms arise, 3P 1D and 1S. These three terms have different energies but I don't understand why. The electron...

ß ∂ ∆ µ π ∏ ∑ Ω … √ ∫ ≤ ≥ ≠ ± # I have a Mac, and I have been typing symbols like the above by using the alt key, and wondering why other people don't use the alt key. :confused: As a result of an in-thread discussion with mkbh_10, and of looking at wikipedia, it now seems that PC keyboards...

Anybody know how I can get my windows XP to display all math symbols? Sometimes instead of the correct symbol, my screen displays a small box. Thanks

Hi everyone I am a new member of this forum and I wonder how can I use those Latex codes for mathematical slymbol displays? I try typing those codes but it came out just the way I type them, do i need to install something before I can use those codes?

What is the proper way for me to write symbols for elements such as Chlorine?

Homework Statement i have to write on microsoft word the symbol 'N' for natural number and C for complex number but i can't find the symbol on the equation editor Homework Equations The Attempt at a Solution

what are the fundamental symbols in logic? maybe this is a vague question but that's cause i don't know anything about logic. are they \neg \wedge \vee? do we define the material implication in terms of these symbols? basically I'm having trouble understanding the paradoxical nature of...

Homework Statement "Tell whether the statement is true and give a counterexample if it is false" "Let m > 0 and (m, ab) = 1. If neither x^2 congruent to a (mod m) nor y^2 congruent to b (mod m) is solvable, then z^2 congruent to ab (mod m) is solveable. Homework Equations Legendre...