Symbols Definition and 280 Threads

Homework Statement Consider a particle moving through Minkowski space with worldline x^\mu(\lambda). Here \lambda is a continuous parameter which labels different points on the worldline and x^\mu = (t,x,y,z) denotes the usual Cartesian coordinates. We will denote \partial/\partial \lambda by a...

I was looking up ways to solve the Einstein field equations when I came across a couple of sources. http://www.thescienceforum.com/physics/30059-solving-einstein-field-equations.html https://dl.dropboxusercontent.com/u/14461199/Light%20Deflection%20SM.pdf If you look at these sources...

Homework Statement I have been reading a lot about physics and equation that look like the photo I attached. What do the brackets and the EXP mean? Homework Equations The Attempt at a Solution

Homework Statement I need to calculate \square A_\mu + R_{\mu \nu} A^\nu if \square = \nabla_\alpha \nabla^\alpha , and is the covariant derivate SEE THIS PDF arXiv:0807.2528v1 i want to get the equation (5) from (3) Homework Equations A^{i}_{{;}{\alpha}} =...

I'm not sure where else to put this thread. Does anybody know (and if you do, please tell) how to get math symbols, like those I can type in the forums, into a text document. I'm looking for free software for Notepad, Wordpad, Word2003 or LibreOfficeWriter.

I am currently working a problem just as practice for Physics 2 E&M and I came across a symbol in one of the circuits that looks like this - ---...

Ok... if there's one thing that really rustles my jimmies...is when I look at an equation an it's chock filled of greek letters, in a big swirl of greek alphabet soup... I have a question, when you approach a new equation, do you automatically know what the symbols mean? Is it relative to...

I've been thinking about this quite a bit. So it is clear that one can determine the Christoffel symbols from the first fundamental form. Is it possible to derive the geodesics of a surface from the Christoffel symbols?

Use between [\text{tex}] and [\text{/tex}]. \begin{array}{ccccc} between & \between \\ divideontimes & \divideontimes \\ gtrdot & \gtrdot \\ lessdot & \lessdot \\ circledast & \circledast \\ boxdot & \boxdot \\ boxplus & \boxplus \\ boxtimes & \boxtimes \\ checkmark & \checkmark \\ maltese &...

express in algebraic symbols The amount of salt in a tank holding x quarts of water if the concentration is 21lb of salt per gallon. please help! thanks!

In Schutz, the christofell symbols are dervied from applying the product rule to a vector in a curvillinear basis. In Wald, the christofell symbols are dervied by making an ansatz of the form a covariant derivative must take and then imposing conditions on it like the metric covariant...

Hello everyone! My teacher for quantum requires us to write up our homeworks using scientific workplace. We access the software through our schools website and login. I have downloaded the program and I can use it on my computer through the internet. When I type in symbols hbar for...

just want to know what these symbols mean $\displaystyle M(x,y)\,dx+N(x,y)\,dy=0$ $\displaystyle \frac{dy}{dx}=f(x,y)$ $\displaystyle F(x,y,y'...y^n)=0$ what's M and N and the ordered pair (x,y) mean here. I don't understand my book. please explain.

Could someone help me interpret the following proposition full of symbols? I've been struggling to comprehend it as well. Thanks in advance. Proposition: Suppose that $f:\mathbb{R^n} \rightarrow \mathbb{R^n}, g:\mathbb{R^n} \rightarrow \mathbb{R}$ is a positive function, and $\phi$ is the flow...

I am not too used to reading mathematical text using symbols. I need some help confirming what I have in my textbook. The book is describing a point in 3D space using the definition R x R x R = {(x,y,z) | x,y,z \in R} and R is all real numbers Using this source describing the...

Homework Statement I am learning Christoffel symbols and I want to know how to compute a surface parameterized by ##g(u,v) = (u\cos v, u \sin v, u)## by using the definition. Homework Equations Christoffel symbols The Attempt at a Solution Is this website...

every integer is a product of two integers. My Solution: ∀ n,o,p E Z, n = o*p E Z Is this correct?

I'm having trouble understanding what Christoffel symbols are. In simple language, what are they? What are they used for?

Firstly, where do I have to post if i have a question on LaTeX? and here's the question, \vdash_{A} how do I make that subscript exactly below the line - on that simbol?

Dear all, Does anyone know common symbols used to represent the ratio of two surface areas? The ratio is the surface area of low temp. heat exchanger divided by the total surface area of low and high temp. heat exchanger: AL/AT = area ratio, i want to find or create a symbol for. I would...

Hi I was reading The Comprehensive LATEX Symbol List which is available at http://www.tex.ac.uk/tex-archive/info/symbols/comprehensive/symbols-a4.pdf On page 70 , in Table 215, they have given wasysym Electrical and Physical Symbols. I tried to insert one symbol here on this forum, but...

Homework Statement Consider metric ds2 = dx2 + x3 dy2 for 2D space. Calculate all non-zero christoffel symbols of metric. Homework Equations \Gammajik = \partialei / \partial xk \times ej The Attempt at a Solution Christoffel symbols, by definition, takes the partial of each...

I don't think I've ever seen this discussed in a textbook, this is an attempt to throw some light on the connection between Christoffel symbols and forces. In particular I want to derive the later as an approximation of the former, with some limitations on choices of coordinate systems...

Hi everyone, I'm reading about the Wigner-Eckhart Theorem and the coupling of spherical tensor operators in Sakurai's Advanced Quantum Mechanics. I then came across this http://cc.oulu.fi/~tf/tiedostot/pub/kvmIII/english/2004/09_tensop.pdf, which states these concepts in Theorem 1 and 3...

Hello MHB, I am curious how I can make these "[" "]" bigger in latex cause it does not look nice when I do it. Exemple: $$[3xy+\frac{3x}{3y}\ln(2)]_{\frac{x^2}{3}}^x$$ Notice just I did just type some number but how can I make it a lot nicer in latex cause that does not really look good. Regards,

Hello everyone, I'm going through Edmond's Angular momentum in quantum mechanics and I found a particular expansion of the 9j symbol in terms of three 6j symbols which I didn't quite understand. The problem lies in equation 6.4.1 which I simply don't understand. On page 100/101...

Hi, sorry if this is in the wrong place, not really sure whether it should be homework questions or here! I'm writing my final year paper and frequently mention mesons and quarks by their symbols and am unsure whether I should be italicizing them? My latex package for writing them easily...

Does anyone know where I can find this? I'm having a heck of a time finding it on google. It was this little app where you could just draw a symbol and it would give the latex code for the symbol. I remember it saved my a lot of time when I was just learning latex and I would still have a use...

When you're solving a problem or simply reading some text, what goes through your mind when you approach a symbol? Do you interpret it the symbolic name, something it looks similar to, or what it represents? Lately I'm starting to take notice to how weak my grasp of symbols is. I avoid...

I am pretty much confused with all the algebra of Christoffel symbols: I have an expression for infinitesimal length: F= g_{ij} \frac{dx^i dx^j}{du^2} and by using Euler-Lagrange equation (basically finding the shortest distance between two points) want to find the equation for geodesics...

Homework Statement Find the non zero Christoffel symbols of the following metric ds^2 = -dt^2 + \frac{a(t)^2}{(1+\frac{k}{4}(x^2+y^2+z^2))^2} (dx^2 + dy^2 + dz^2 ) and find the non zero Christoffel symbols and Ricci tensor coefficients when k = 0 Homework Equations The...

In my textbook, under the subtopic 1st law of of Thermodynamics, an equation is given as foll : W=JQ where W=work done ;Q=heat supplied but they have not mentioned what is J. please could someone tell me what exactly 'J' stands for in this equation

In the book Mathematical Methods for Physics and Engineering by Riley, Hobson, and Bence, I came across an equation I just can't seem to understand. In the chapter on tensors, they derive the equation for a Christoffel symbol of the second kind, \Gamma^{m}_{ij}=\frac{1}{2}g^{mk}\left(\frac{...

Homework Statement use symbols to write and evaluate this problem four squared divided by two to the fourth power Homework Equations The Attempt at a Solution 4^2 / 2^4 the answer I get is 1

Hello all, I've been going through Bernard Schutz's A First Course In General Relativity, On Chapter 5 questions atm. Should the Christoffel Symbols for a coordinate system (say polar) be the same for vectors and one-forms in that coordinate system? I would have thought yes, but If you...

Hi friends I want to solve an equation which is function of x,y,z,m but i want to find answer like this m=... i want my answer(m) to be a function of x, y, z but when i solve it in MATLAB or mathematica none of them give me the answer I know that my equation must have 4...

I have come across a number of examples in my textbook which seem to suggest that if f(x)-> L as x-> a, then O(f(x))->L as x->a. Can this be proven? to clarify, I mean O(f(x))=O(f(x)) as x-> a

Hi all, I have been looking the electrical symbols for a proximity sensor and a level sensor. A simple google search has not helped and I have also looked at various manufacturers websites, but still no joy. I was hoping somebody could point me in the right direction to a comprehensive list of...

I have been taught that work = force x distance moved in direction of force, or W=Fd However, should this not be W=Fs, as what is really meant is displacement (s), not distance (d)? Thank you - I sense that this is something the real Dr Moriarty would have known...

Is there a library with which I can lookup the value of a given symbol in Linux? Also, I've read that C++ name manglingboth unstandardized and difficult. Are there libraries for GCC or Clang? I want use these to build a GUI that uses HTML to design the interface and symbol lookup to allow...

Can anyone give a pointer as to where I can download a font which has a good selection of physics symbols & fonts. Things like Planck's constant h bar & the like. I'm getting fed up of trawling through previous questions & reports I've done, just to get a symbol. :cry:

I don't know exactly what I'm looking for in this question so I'll ask it in a vague way. What is the connection between a particle's proper acceleration and the christoffel symbol of the second kind (single contravariant and double covariant) ? Is this correct...

Of course we all know the standard symbols to use when drawing electrical circuits, but is there an analog for optical setups? I'm working of a poster and most of the symbols I'm using are just boxes with labels next to them, or just lines for mirrors and lenses.

To avoid hijacking an existing thread, I wanted to start a new one on how "gravitational forces" are represented in GR. There doesn't seem to be a lot on this in the intro textbooks, alas, which mostly deal with the issue by avoiding it. Which suggests there could be some non-obvious...

Hi All, I am currently reading Menzel's "Mathematical Physics" and one part in particular confuses me. When he is introducing Riemannian Geometry he derives the Christoffel symbols almost out of thin air. He starts by differentiating a vector with respect to a coordinate system...

Proposition: \sum_{i=0}^{p-1} (\frac{i^2+a}{p})=-1 for any odd prime p and any integer a. (I am referring to the Legendre Symbol). I was reading a paper where they claimed it was true for the a=1 case and referred to a source that I don't have immediate access to. So I was wondering if...

I'm revising for an exam and i’ve come across these equations in my lecture notes. Has anyone seen these equations before, and can tell me what the symbols represent? T = k1 ᶲ Ia Ea = k1ᶲ2πN = k2ᶲN Ea = Va-IaRa N = (Va-IaRa) / (2πk1ᶲ) Im guessing T is torque, Ea is the volatge across the...

So the term symbol for the nitrogen atom is 4S3/2 This means L=0, S=3/2, hence J=3/2. My question is that if S=3/2 than this is a quartet, meaning there are four levels, yet I only ever see one state listed on energy diagrams? What gives? Obviously, I'm still trying to learn term symbols Are...

How do I convert a word or name to math symbols? E.g. the letter N can be converted to ℕ (all natural numbers), the letter Z can be converted to the letter ℤ (set of integers), and the letter R converted to ℝ (all real numbers). Basically, I want to convert someone's name into math...

\begin{array}{cc} \text{\boxed{text}} & \boxed{text} \\ \\ \text{\overbrace{x + y}^{3}} & \overbrace{x + y}^3 \\ \\ \text{\underbrace{x+y}_{5}} & \underbrace{x+y}_5 \\ \\ \text{{9\choose3}} & {9\choose3} \\ \\ \text{\binom{9}{3}} & \binom{9}{3} \\ \\ \text{\rlap{////}3a^2b} &...