What is Term: Definition and 774 Discussions

A term limit is a legal restriction that limits the number of terms an officeholder may serve in a particular elected office. When term limits are found in presidential and semi-presidential systems they act as a method of curbing the potential for monopoly, where a leader effectively becomes "president for life". This is intended to protect a republic from becoming a de facto dictatorship. Sometimes, there is an absolute or lifetime limit on the number of terms an officeholder may serve; sometimes, the restrictions are merely on the number of consecutive terms they may serve.

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  1. J

    Mathematica Mathematica: Delete constant term of f(z,w)

    Hi, I have a messy expression as a polynomial in z and w: a+bz+czw+dz^2w+...+kz^n w^m How can I delete the constant "a" term? Here's the function. The constant terms are dispersed throughout the expression. I know I can extract the coefficient list first in w then in z to actually get...
  2. C

    What long term changes do SSRI and SARI drugs cause?

    I read about long term use of these kinda antidepressants causing hippocampal neurogenesis and stuff like that but I'm focusing more on what long term use does to the various monoamine neurotransmitter pathways. I'll start with SSRIs because they are the simplest. Their main mechanism of action...
  3. C

    How to change ∅ in term of x? (integration by trigonometry substitution)

    the question is ∫dx/ x^2*√(x^2-1) I use x=a sec ∅ x^2*√(x^2-1)= sec^2∅tan∅ x=sec ∅ dx= sec∅tan∅d∅ so it will become something like this ∫sec∅tan∅d∅/sec^2∅tan∅= ∫1/sec∅d∅=∫cos∅d∅ =sin∅+c But how can i change this sin in...
  4. V

    Electric field over a non-conducting disk in term of ε0

    Homework Statement A non-conducting disk with a 4-mm thickness is lying flat. It has a -4 C/m^2 surface charge on the upper surface and a surface charge on the lower surface. In terms of epsilon naught, what is the approximate field strength 1 mm above the upper surface? Homework...
  5. C

    Finding the largest coefficient in its corresponding term

    f(x)=(1.2x-11 + 1.5x7)20 (1.25x21 + 1.7x-0.05)50 Given the function above, by binomial expansion, Xn appears to be the term with the largest coefficient. Determine n and hence state the corresponding coefficient. Would like to know the method of doing this question in an easier way.
  6. A

    MHB Determine the general term for a sequence

    What is the general term for the sequence 8,12,18,27,... First of all I know that i can make a polynomial or whatever function pass through these points but I make a relation I just want to build the general term of it I took the difference between any two terms I choose 40 8 , 12 , 18 ...
  7. S

    What is the generic term for domain & range?

    As I understand it, there are the terms: domain - variables that are input to a function range - the variable that is output to a function This works well in a canonical single equation system like z = f( x , y ), but breaks down in an implicit function or set of equations. I was...
  8. B

    Inferring A General Term From A Sequence

    Homework Statement 3, -3/2, 3/4, -3/8,... Homework Equations The Attempt at a Solution I began to write, (-1)^{n+1} \frac{3}{...}, but I began to despair once I came upon the denominator. I know that every term's, except 3, denominator can be written as a power of two, but I...
  9. T

    Quick check of 4 term polynomial factorised

    Could someone quickly go over my working, as I am not 100% sure I have done it the right way. I will show and explain my working step by step. $$ at^2-4a + 2t^2-8$$ I first grouped the values: (at^2-4a) + (2t^2-8) I then factorised these equations into: a(t^2-4a) + 2(t^2-4) I...
  10. D

    Long Term Evolution Experiment

    I haven't read the Nature article. However, the newspaper article had a sufficiently complete description to infer what they did to infer. The scientist kept frozen samples of the distant ancestors, i.e., the bacteria that were first placed in a flask. Samples were taken from the flask...
  11. H

    Momentum term to be expanded in dirac gamma matrices

    Homework Statement I need help to expand some matrices Homework Equations \pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0 The Attempt at a Solution How do I expand i\hbar \gamma^0 the matrix in this term, I am a bit lost. All the help would be...
  12. H

    Computing a term in worldlines

    Homework Statement L is the langrangian \dot{q} is the velocity with time derivativeHomework Equations \frac{\partial L}{\partial \dot{q}} = -M \frac{1}{2} \frac{1}{\sqrt{1- \dot{q} \cdot \dot{q}}} \frac{\partial}{\partial q_i} (-\dot{q} \cdot \dot{q}) The Attempt at a Solution A few...
  13. K

    Short term atmospheric retention.

    What timefram does short term atmospheric retention mean?
  14. T

    Higgs Boson and the Missing Cubic Term in the Standard Model

    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!
  15. A

    Proof of Fibonacci Nth Term: Assumptions & Quadratic Eq.

    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
  16. P

    Finding limit of infinite term

    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...
  17. X

    Noise term η(t) in Langevin equation

    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...
  18. Doofy

    What is meant by the term beam spill ?

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

    Finite Difference Method - clarification of a term

    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) =...
  20. S

    Gauss-Bonnet term extrinsic curvature

    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...
  21. V

    Is There a Logical Method for Finding a General n-th Term in Partial Sums?

    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}
  22. S

    Finding the general expression of the nth term

    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.
  23. S

    Gravity Force Term: Exploring (1/2) in Fluid Mechanics

    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...
  24. H

    MHB Manipulation of negative square root of a negative term/#

    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...
  25. R

    Complex term in refractive index , in context to rayleigh scattering

    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...
  26. J

    Deriving the Formula for the nth Term of the Fibonacci Sequence Using Matrices

    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...
  27. A

    Differentiating a term n+1 times

    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...
  28. K

    Useage of the term field in QFT

    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...
  29. m4r35n357

    Boyer-Lindquist Cooridinates - incorrect sign on cross term?

    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)...
  30. P

    What is a general term and how is it different than a function?

    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...
  31. S

    Finding Discrete Counterpart of Continuous Variable Energy Term

    Dear Sir… I am looking for a discrete counter part of a continuous variable. the continuous version of energy term in a liquid crystal is given by [\vec{n}\cdot(\nabla\times\vec{n})]^2. This is a square of a dot product between a vector 'n' and its curl field. My question is what is the exact...
  32. I

    What is the nth term of this matrix?

    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
  33. F

    Understanding the strain energy function invariant term

    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...
  34. M

    Quation about term symbols: N atom

    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...
  35. C

    Long term magnetic repulsion with permenant magnets?

    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?
  36. H

    What is the technical term for this sociological/psychological phenomenon?

    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...
  37. T

    Need for the term microevolution

    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...
  38. fluidistic

    What does this term mean (language/argot)

    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...
  39. B

    MHB What is the lower bound for the product term with a limit of M>=2?

    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.
  40. J

    What is the Appropriate Term for the Contacting Surface on a Valve in the U.S.?

    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...
  41. H

    My Professor frequently uses the term higher dimensions. Could someone

    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...
  42. J

    How do I factor 4 term polynomial?

    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
  43. A

    Diffusion term, convective term and time double derivative

    _{}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...
  44. N

    Determining the convergence or divergence with the given nth term

    [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 =...
  45. Z

    Navier-Stokes equations with temperature term

    Homework Statement C dimensionless solute concentration C0 constant Grc solutal Grashof number Grh thermal Grashof number Le Lewis number N buoyancy ratio N = Grc/Grh Pr Prandtl number r dimensionless radial coordinate t dimensionless time coordinate z dimensionless axial coordinate...
  46. M

    Denominator in cosmological constant term in Newtonian gravity

    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...
  47. R

    Solving the inequalitites in term of x, applying rules

    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...
  48. L

    The meaning of the curvature term

    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...
  49. R

    Fourier Series and the first term

    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...
  50. T

    Term structure of interest rates

    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...
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