Term Definition and 742 Threads

Why does the standard model have a higgs boson quadratic and a cuartic term but it does not have a cubic term? is there any problem if it happens to have a cubic term? Thanks!

I have a doubt regarding its proof. First we assume that solution is of the form x^n-then we solve the quadratic equation and get two values of x-x1 & x2. After that we say solution is of the form ax1^n+bx2^n contradicting our previous assumption that solution is of the form x^n

Homework Statement The problem is not homework, just something that has been bothering me. It's in picture form, in the attachment. I'm an undergraduate in math, and this type of convergence is a bit unknown to me. What I've seen so far are normal sequences and series, and power series...

Langevin equation describes the brown motion. But I don't understand the nose term η(t) in the equation. What's the relationship between η(t) and the force proportional to the velocity due to stoke's law? I mean they both belong to the force between the collisions with the molecules of the...

what is meant by the term "beam spill"? in the context of a beam of particles from an accelerator?

Homework Statement I'm doing a class on Numerical Solutions of DE and I have my first assignment. The problem is stated: Consider the following second order boundary value problem: \epsilon \frac{d^{2}y}{dx^{2}} + \frac{1}{2+x-x^{2}} \frac{dy}{dx}-\frac{2}{1+x}y = 4sin(3x), y(0) = 2, y(2) =...

Gauss-Bonnet term extrinsic curvature calculations? In General Relativity if one wants to calculate the field equation with surface term, must use this equation: S=\frac{1}{16\pi G}\int\sqrt{-g} R d^{4} x+\frac{1}{8\pi G}\int\sqrt{-h} K d^{3} x The second term is so-called Gibbons-Hawking...

Yo guys,I was wondering if there was an easy logical way of finding a general n-th term in a sequence of partial sums for any converging sequence {a-n}

Homework Statement Given successive terms of numbers starting from the 1st term: 11, 21, 35, 53, 75, 101,... What is the general expression of the nth term? where n is positive integer Homework Equations /The Attempt at a Solution Can't find a good attempt.

This is not a problem statement this is not homework this is not a textbook exercise. This is my own question about a formula in a textbook. I was given an infraction because I did not post this here. Homework Statement Source: Fluid Mechanics 2nd ed. - P. Kundu, I. Cohen.pdf I am...

Suppose I have to solve for y: x\leq 1 (x - 1)^{2} = y So I know that (x - 1) will always be 0 or a negative, therefore I must take the negative square root of (x - 1): -\sqrt{(x - 1)^{2}} = -\sqrt{y} Am I to understand that this is the same as: -1 \cdot \sqrt{(x - 1)^{2}} = -1 \cdot...

I was studying Rayleigh Scattering. The theory says that Rayleigh Scattering is approximated to x<<1 where x=(2*pi*r)/lambda where r is the radius of the particle scattering light and lambda is relative scattering wavelength of light. lambda = wavelength of light / refractive index of...

I want to find a derivation for formula of nth term of fibonacci formula. Searching the net - I found two methods : (i) First one assumes that the nth terms will be some number raised to power of n...I don't like this one as it assumes the formula initially (ii) the second one involves matrices...

Differentiating the term: (x2-1)u' n+1 times gives (according to my book): (x2-1)u(n+2) + 2x(n+1)u(n+1) + n(n+1)u(n) Now I see how the first two parts arise. However, I don't really understand the last one - or more specifically I don't understand how you find that un appears exactly...

useage of the term "field" in QFT Wikipedia defines a field as "a physical quantity associated with each point of spacetime". So contrary to a particle, where physical quantities are associated with properties like position or momentum, the field itself is a physical quantity. (This definition...

OK, I realize I am probably on a hiding to nothing here, but please bear with me for now, I have tested my calculations so carefully that I am totally convinced that I have found an error in two published accounts of the BL line element . . . The first is Visser, equation (57)...

Homework Statement Homework Equations The Attempt at a Solution I don't know how to use the above template considering I don't actually have a specific question from my homework, but I do have a question that I need answered to complete my homework. Anyway, my book asks me to write a function...

Hello, I would like to know what are the nth terms of the following matrix, \begin{pmatrix} 2 & 1 & 1\\ 2 & 3 & 2 \\ 1 & 1 & 2\end{pmatrix} = A^{1} I want find the general terms of the matrix, and then can find A^{50} Thank you very much for your help a greeting

Hi, Dear all, Facing problem to understand strain energy function invariant terms A typical strain energy function consist of strain invariant can be defined as followed W(I1,I4)=C0+C1(I1-3)(I4-1)+C2(I1-3)^2+C3(I1-4)^2+C4(I1-3)+C5(I4-1), I1 and I4 are so called invariants of Green's strain...

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...

i have a set of neodynium magnets which i am using for a magnetic levitation project... will the constant exposure to an opposing magnetic field weaken the magnets over time? are 'permenant' magnets really permenant?

Greetings everyone, When someone discusses a given topic, people often perceive that the speaker's view on the topic is opposite theirs, even if no opinion on the topic was given. I know that there is a technical term for this (I read it in an obscure magazine, like Alaska Airlines magazine...

I get somewhat confused when in biology they use the term micro evolution. Is it a standard term in biology? . Because small changes sometimes could result in a entirely new populations. Its becomes quite difficult to distinguish between micro and macroevolution in some cases. Example take...

In several papers I read "L11 type Co-Pt ordered alloy" (see http://jap.aip.org/resource/1/japiau/v103/i7/p07E114_s1?isAuthorized=no , http://iopscience.iop.org/1742-6596/200/10/102002, http://www.sciencedirect.com/science/article/pii/0022024893903757). What exactly is meant by L11? Google...

where M>=2. A close upper bound also will be useful(not like 1 as the upper bound). Thanks in advance.This is also QPochhammer[1/M,1/M,inf]. Courtesy to mathematica.

Contact surface -- term Hello everyone! Help me please with selecting a correct term. The situation is as follows: There is a valve, which has a body and a bonnet. There is a joint that connects the body to the bonnet. There is a contacting surface on the bonnet flange and body flange...

My Professor frequently uses the term higher dimensions. Could someone tell me exactly what is a dimension. I think of it as some parameter which can vary. Also, I only know of 4 dimensions: time, length, width and height. Could someone give me more examples of dimensions? And lastly could...

Hi guys, I'm not entirely good with factoring so I was wondering if any of you can show me how I would go about factoring this polynomial: (With necessary steps if you can Please and thanks!) 36mx + 10y - 24x - 15my

_{}Dear Fellows, I am just using a Green Naghdi heat transport equation which is represented as, ρ\timesC\timesT''+aT_0\timesU'_i,i=K\timesT'_i,i+K*\timesT_i,i where (')=derivative with respect to time (,i)= derivative with respect to space. I am being informed that U_i,i= is a...

[answered] I want to know why this particular approach is wrong so I can learn from my mistakes. Homework Statement a_n = \frac{ln(n^3)}{2n}The Attempt at a Solution For the sake of being time efficient, I will skip writing things like the limit as n approaches infinity etc. a_n =...

In General relativity: an introduction for physicists, the authors derive Newtonian gravity from the EFE, but then they also give a short statement that inserting in the cosmological constant derives down to: \vec{g}=-\nabla\Phi=-\frac{GM}{r^{2}}\hat{\vec{r}}+\frac{\Lambda...

I am working through this chapter and trying out exercises - I am stuck on this one- this is what I have done so far but since this is my first experience with this topic I am just not sure what to do next i have typed it and attached it here with Thanks Homework Statement I have typed...

I just wanted to make sure whether I've understood something correctly In the FRW equation: (\frac{ \dot a}{a})^2 = \frac{8 \pi G}{3} \rho - \frac{k}{a^2} ...there is this curvature term. I'm confused about the meaning of this k. Sometimes they say it can ONLY be -1 , 0 or +1...

I wasn't really sure where to post this because I am covering this in 2 classes (Math and Physics). Figured this would be my best bet. The Fourier series of some Function is a_{0}/2+etc.... I've looked in several textbooks but none explain why the 1/2 is there, and not in any of the other...

I came across this question in chapter 4 of Hull 'Options Futures and other Derivatives'. I have the answer but I am not sure what the explanation is. Could anyone help? The term structure of interest rates is upward sloping. Put the following in order of magnitude : a) the 5 year zero...

Hi, can someone tell me where I can find the term: "homeotopic" (or, something like that, I don't know how to write in English). My professor mentioned that term in the line integral, here it is: Let \Omega \subseteq \mathbb{R}^k be area (open and connected set). Curves \varphi, \psi...

Homework Statement Using Hund's rule, find the fundamental term of an atom whose last incomplete subshell contains 3 electrons d. Do the same with 4 electrons p. Homework Equations The 3 Hund's rules. The Attempt at a Solution By fundamental term I'm guessing they mean the...

Hi i tried to understand an old report about a beam, in the report maximum normal force due to bending is investigated , the normal procedure is applied nothing special actually they calculate the moment of inertia of a t-beam part by part and from m.c/I they solve the problem. I want to ask...

Homework Statement I decided to work through my old calculus notes and I can't find any information about these limits. Basically I'm trying to evaluate lim n->∞ (-1)n *sqrt(n+1)/n. Homework Equations Not really applicable. The Attempt at a Solution Well, in this particular case...

I used to know this, but then I forgot and I can't seem to Google it. What is the name of that condition, usually acute and brought about by extreme anxiety or fear, in which you feel your heart pounding so powerfully that it seems to pulsate your entire chest cavity, and you can even feel your...

Hello all I am trying to derive a quarter car model that i can use Simulink to analyse. The model is 2 DOF and consists of 1 sprung and 1 unsprung mass, suspension spring and damping co-effs, and tyre spring and damping co-effs. Positive is taken as upwards, compression is also taken as...

What's the difference between short term memory and working memory? Is there any physiological difference?like difference in neural network formation? Thx!

Hi, Does anyone know if there is a Mathematical term used to state that the angle of change of some point is 0?

Homework Statement Derive the following formula using Taylor series and then establish the error terms for each. Homework Equations f ' (x) ≈ (1/2*h) [4*f(x + h) - 3*f(x) - f(x+2h)] The Attempt at a Solution I honestly have no idea how to go about deriving this. The professor did...

I have to determine the coefficient of an x term in an expansion such as this; Determine the coefficient of x^18 in the expansion of (1/14 x^2 -7)^16 The general term in the binomial expansion is nCk a^k b^(n−k) I could let a = (1/14 x^2) b = -7 n = 16 k = 9? I have no real idea of how to go...

What is ej∞?

Hello everyone! Need help with selecting terms for translation. The situation is as follows: A new production process is being developed. First, this process is tested on lab-scale equipment to see if it goes ok. (It may be full-scale equipment in a workshop too.) If any bugs are...

Hello PF People, This is probably a very simple question but I don't really get it. In Lippmann Schwinger Equation we add an infinitesimal term to the denominator in order to avoid singularity for when E is an eigenvalue of \hat{H}_0. This is fine, but why it has to be a complex number...

I just came across this thought-provoking opinion article in the NY Times. http://www.nytimes.com/2012/01/29/opinion/sunday/childrens-add-drugs-dont-work-long-term.html?pagewanted=1&_r=1 It raises some important questions so many years into using medications to treat ADD, including whether...

Homework Statement Which term in semi-empirical mass formula gives rise to the energy release in fission? What is the physical origin of this term? All β-stable nuclides heavier than 92Mo (Molybdenum) have a positive Q-value for fission; explain what prevents them decaying in this way...