Term Definition and 775 Threads

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. G

    Find the nth term of 1/3+4/243+1/243+16/19,683?

    by simplifying the denominator, 1/3 + 4/3^5 + 9/3^7 + 16/3^9 Cant find the nth term. i am assuming there is something wrong with the given. i suppose 1/3 should be 1/3^3. If so, then the nth term is n^2/3^(2n+1) thanks.. :)
  2. C

    Second order differential nonhomogeneous equation with gaussian term

    Hello forum, I am trying to solve a differential equation for the last four hours and I can't figure out how... here it is \frac{d^2x(t)}{dt^2} + \frac{dx(t)}{dt} + c x(t) = d e^{-a t^2} actually my problem is how to handle the Gaussian term... if anyone can help please...
  3. Z

    Proof: Quadratic Nth Term of Sequence Indicates Arithmetic Progression

    Homework Statement Is this statement correct? If the nth term of a sequence is a quadratic expression in n, then the sequence is an A.P. Homework Equations The Attempt at a Solution Take arbitrary t(n)=n^2-2n-2 I substituted 1,2,3 in the above expression and noted the c.d...
  4. D

    What is the relationship between pressure and velocity in fluid flow?

    if we consider fluid flow, then bernoulis equation says that pressure must reduce when velocity is high.What is the direction of pressure when fluid is in flow? When fluid is stationary then pressure varies in vertical direction. It acts in downward direction on account of gravity. Means it is...
  5. T

    Can a Sinewave Be Generated from an Oval Phasor?

    I am not an expert in math, but as an electronics tech we use sinewaves all the time. I understand how it is derived from a circle well enough ( a phasor rotating about a circle). And that makes sense as that is how electricity can be generated due to the orientation of the generator...
  6. A

    Why the term diffraction in XRD

    Why the term "diffraction" in XRD When there is selective reflection of x-rays from crystals, why the phenomena is called "diffraction"? As we know that diffraction is associated with the bending of waves at the corners of any obstacle, here there does not seem to be any bending around the...
  7. D

    Is there an easy way to simplify a 3 term squared paranthesis?

    I know I probably learned this 10 years ago, but I really have no idea how to simplify something like this: (A*B + C*D + E*F)2 Is there any kind of shortcut (even a website that does it automatically!) that can help me solve expressions like this?
  8. J

    Exponential Distribution of Trigonometric Functions?

    Homework Statement e3x(3sin x-cos x) The Attempt at a Solution e3x3(3sin x-cos x)+(3cos x+sin x)e3x=10e3xsin x. Is that right?
  9. L

    Can anyone explain this term is antisymmetric in SU(3)

    Hi, I'm reading the SU(N) chapter in Jones' Group theory book. In SU(3) we have these 3 component spinors which transform as \psi^{'}_{a}=U_{a}^{..b}\psi_{b} and we have upper spinors defined by \psi^{a}=\epsilon^{abc}\phi_{[bc]} Now if consider building up higher-dimensional reps, by taking...
  10. N

    Why is the partial derivative of a relative scalar field not always zero?

    PSI is a relative scalar field of weight w in the sense that it transforms between the hatted and unhatted coordinate systems according to, \bar{\psi}=J^{w}\psiWhere J is the jacobian. According to the book, the ordinary partial derivative of a relative scalar field is not a relative tensor...
  11. P

    Correct term: thermal power & electrical power

    Dear all, This question might sound trivial but for weeks I am unsure about the correct answer: 1. Given there is a radiator. The radiator's performance is stated in [Watt]. 2. Given there is a nuclear plant. The plant's performance is also stated in [Watt]. Is it correct English to...
  12. D

    Problem with source term in qft

    I have a problem understanding the effect of source terms in qft. I am interested in understanding how a static point source will interact with a massless field. Let me consider a simple example of a linear chain of masses coupled by some springs. In the continuum limit, the Lagrangian...
  13. J

    What is the term for phobia of becoming mother?

    What is the term for phobia of becoming mother? Please let me know.
  14. E

    Why is the Darwin Term in the Fine Structure Hamiltonian Not Hermitian?

    Hi there! I'm solving the dirac equation to get the fine structure hamiltonian of the hydrogen atom. In the hamiltonian there is this term: \frac{\hbar ^2 e}{4m^2c^2}\frac{dV}{dr}\frac{\partial}{\partial r} This term gives rise to some difficulty because it is not hermitian. So Darwin...
  15. Fredrik

    I read somewhere that the term for a concept that we don't try to

    I read somewhere that the term for a concept that we don't try to define is "primitive". Primitives are supposed to be to definitions what axioms are to theorems. I also read that when one of these deliberately undefined concepts is explained (but not really defined) by a description in plain...
  16. J

    Physical Meaning and Evaluation of Complex Integral in Heat Conduction Problems

    Hello In the following integral which I obtained from Wolfram, what is the physical meaning (e.g. in a heat conduction problem) of \sqrt{-\sinh^{2}(bx)}. Also how to evaluate this at x=L. Thanks...
  17. S

    Currentday misuse of the term Model

    There seems to be a trend to misuse the term model, particularly by non scientists such as educationalists, business and politicians. Should we be worried as the non scientific version means the diametric opposite.
  18. L

    Unknown Symbol in Molecular Term Symbols

    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}...
  19. C

    2nd Born term calculation (potential scattering)

    2nd Born term calculation problem (potential scattering) Homework Statement I'm trying to get a 2nd Born term for scattering amplitude in momentum representation (potential scattering). I take potential of the form: V \left( r \right) = \gamma r^{-1} \exp \left( \frac{-r}{R} \right) \; , R...
  20. K

    Correction term to Newtons gravitation law

    Hey! My teacher told me that there is a correction term to Newtons law of gravitation when you take general relativity into account, somthing lik: F=G\frac{M_1M_2}{r^2}+F_{correction} I been searching like mad but can't find it on the internet anywhere. The only things I found was a set of...
  21. D

    Is there a term for the vertical elongation of a planet?

    Is there a term for the vertical elongation of a planet? This would be the angular distance above the horizon that a planet appears at the instant the sun sets, or in mathematical terms it would be: x=elongation theta=angle between the ecliptic and the horizon "vertical elongation" = x *...
  22. O

    Multidim. Gaussian integral with linear term

    Hey everyone, I know, lots of threads and online information about Gaussian integrals. But still, I couldn't find what I am looking for: Is there a general formula for the integral \int_{\mathbb{R}^d} d^d y \left|\vec{y}\right| \exp(-\alpha \vec{y}^2) where y is a vector of arbitrary...
  23. N

    Laplacian of 1/r in Darwin term

    The http://en.wikipedia.org/wiki/Fine_structure#Darwin_term" contains a (3D-)delta function as a result of taking the Laplacian of the Coulomb potential. I'm trying to find out why. I've been searching, and I've so far come across different views of the Laplacian of 1/r at the origin. Either...
  24. G

    Find nth Term of Sequence: n2-2

    I'd just like to make sure that I understand this question: "The nth tern of a sequence is n2 - 2. Find the value of the 20th term of the sequence." Is the question asking me to find the value of the equation if n = 20? (In which case the answer would be 20 x 20 - 2 = 398)
  25. K

    Does the Sign of the wt Term in EM Wave Propagation Matter?

    We were taught in the vibrations and waves lecture course that the solution to the wave equation for traveling waves is of the form ψ(z,t) = Acos(wt-kz). In the Electromagnestism course we learned that EM waves are traveling waves and have the solution E = E0cos(kz-wt). I know that changing...
  26. P

    Courses Short term course on theoretical physics

    I am doing my final year B Tech in electrical engineering, but my interest is in theoretical physics. Though I have applied to some US universities for applied physics with the hope that I can switch to theoretical physics later but am not sure if I will get admission. Can anyone suggest me...
  27. R

    Solving C: Recursive Rule for Sequence 2, 6, 8, 14, 22, 36

    Write a recursive rule for each of the following sequences: (a) 41, 42.5, 44, 45.5, 47, 48.5, 50, … (b) 300, 30, 3, 0.3, 0.03, 0.003, … (c) 2, 6, 8, 14, 22, 36, … ----------------- a) Tn+1 = Tn + 1.5 b) Tn+1 = 0.1Tn c) ? For C, The difference is 4, 2, 6, 8, 14, I've figured out...
  28. Y

    Dipole term in a quadrupole expansion

    Homework Statement There are three charges arranged on the z-axis. Charge +Q_2 at the origin, -Q_1 at (0,0,a) and -Q_1 at (0,0,-a). Using spherical polar coordinates (i.e the angle \vartheta is between r and the positive z-axis), find the potential at a point with a distance r from the...
  29. N

    How to Solve Heat Equations with Generation Terms?

    Hey, I am wondering how to solve this heat equation with a 'generation' term included. In one instance I am adding the generation term, in the other I am subtracting it. a\frac{\partial^{2}f }{\partial x^{2}}-\frac{\partial f}{\partial t} - \lambda f = 0 a\frac{\partial^{2}f...
  30. M

    Last Work Term before Graduation

    I am in the Mechanical engineering co-op program. For those unfamiliar with this program, instead of taking 4 years to finish my degree I have taken 5 years and have earned 1 year of work experience. I will have my final work term in the summer and I've been debating which job I should take...
  31. R

    How to extract linear term from polynomial?

    Hello! Trying to measure the magnetic field of the Earth here. Basically, measured the deflection of the current carrying wire in the vertical plane. However, the sag of the wire due to heat overwhelmed the displacement due to the magnetic field. If I plot displacement of wire against current, I...
  32. A

    Brane World and Gauss-Bonnet Term

    help plis... Hello I study physics in chile. I am doing my thesis in "brane world and gauss bonnet term"...i studied randall sundrum 1 and 2 models, and some paper abaut the topic...My teacher of thesis does not help me... I need find a topic abaut this subject that has not been done...My...
  33. F

    What are the Term Symbols for Carbon's He2s^22p^2 Configuration?

    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...
  34. L

    Undetermined Coefficients, more than one term on RHS

    Homework Statement y''-49y=7cos(7x)+7+e^(7x) The Attempt at a Solution I have no idea how to solve this Differential equation. I could solve one that has y''-49y=one term, but I'm stumped with more than one. First, I get the homogeneous equation, y''-49y=0 and fine y_c, then use the...
  35. Y

    Finding a term in a binomial expnasion

    Homework Statement Find the term in the expansion of (x-(2/x^2))^14 which is of the form constant/x. The Attempt at a Solution I have worked out the general expression. (14|r) x^14-r * (-2/x^2)^r However I can only work out this problem by trial and error. I know that in this case...
  36. J

    What does stability mean in chemistry?

    In chemistry, we are always hearing the term 'stability'.But i am really confused , or can't get the actual meaning of that term.When i asked my friends, they said that stability can only be explained in a given situation.for example, A ball at a height above the Earth's surface is not...
  37. M

    Dirac-delta term in a non-relativistic interaction

    Hi everyone, I'm studying electron-electron scattering, starting with the Dirac equation it ends up calculating the invariant transition amplitude, defined as: -iM=(ie{\overline{u}^f}_A}\gamma^\mu u^i}_A) \frac{-ig_{\mu\nu}}{q^2}(ie{\overline{u}^f}_B}\gamma^\nu u^i}_B) With u_A and u_B the...
  38. Loren Booda

    News What State Would the US Be in if George W. Bush Had a Third Term as President?

    If George W. Bush were serving a third term as president now, what state do you believe our country would be in?
  39. R

    How Does the Dirac Conjugation Operator Affect Majorana Neutrino Mass Terms?

    In books I find that the Majorana mass term for the neutrinos is given by m_L \nu_L^T C^\dagger \nu where C is Dirac Conjugation operator. How does C look like if I write \nu_L as in terms of its two components \left(\begin{array} (\nu_{L1} \\ \nu_{L2} \end{array} \right)? Is C=...
  40. P

    Is Nuclear Radiation the Same as Radioactivity?

    Homework Statement Help. Confused I am assuming that the term nuclear radiation means radiation emitted from the nucleus? Are there only three types of nuclear radiation? Does Radioactivity have the same meaning as nuclear radiation or is nuclear radiation a subset of radiaoctivity...
  41. A

    ODE Series Solution Near Regular Singular Point, x^2*y term?

    ODE Series Solution Near Regular Singular Point, x^2*y term? (fixed post body) Homework Statement Find the series solution (x > 0) corresponding to the larger root of the indicial equation. 5x^{2}y'' + 4xy' + 10x^{2}y = 0 Homework Equations Solution form: y =...
  42. bcrowell

    Frame-Jumping: What Does it Mean?

    term "frame-jumping" I've come across internet discussions where the term "frame-jumping" is used. As far as I can tell from googling, it seems to come up a lot in discussions involving anti-relativity kooks. I looked in the indexes of some relativity books I own, and couldn't find it. Googling...
  43. N

    Gauge Fixing Term: Physical Effects & Role in Spin Components

    Hi... Would you please advise me what does gauge fixing term do (physical point of view) ? Does it eliminate unnecessary spin components from lagrangian for example: Vector particle has two (massless case) or three (massive case) degrees of freedom. Vector itself has four, and a vector...
  44. 8

    Fourier series of exponential term

    Homework Statement Homework Equations The Attempt at a Solution Ive numbered the solution steps, the ones that are giving me trouble are from 1 to 2 and from 3 to 4 From 1 to 2 i don't understand how there can be an exp(x) term taken out of the bracket and still be in the...
  45. I

    Understanding the Remainder Term in Taylor Series: A Closer Look at the Formula

    I'm currently studying the Taylor series and I cannot figure out how the remainder term came to be. If anyone could clarify this for me, I would be really grateful ...! I understand that the Taylor series isn't always equal to f(x) for each x, so we put Rn at the end as the remainder term...
  46. D

    Paramagnetic term of the hamiltonian

    The Hamiltonian for particle in an EM field is H = 1/2m (p - qA)^2 + q phi If we take the cross-terms, which corresponds to the paramagnetic term, we have H para = -q/2m * (p.A + A.p ) = iqh/2m * (\nabla .A + A.\nabla) What I do not understand is how this simplifies...
  47. T

    Understanding Time Dilation in Special Relativity

    Hi, Just out of idle curiosity - why do we talk of "time dilation" in terms of special relativity when in fact it contracts which is the opposite? Is there a reason or is it just accepted usage?
  48. Dale

    Gravitational Lagrangian PE term

    I was just doing a simple 2-body Newtonian gravitation problem. The force on each mass is: f=\frac{G m_1 m_2}{r^2} and the integral of the force wrt r is: \int \! f \, dr = -\frac{G m_1 m_2}{r} So, since there are two forces in the system, one on each object, I had assumed that there would...
  49. W

    Does chaos means long term numerical simulations useless?

    i am now reading a prl paper the authors used numerical simulations to study a nonlinear system in some parameters, the authors state that system enters into chaos My numerical simulations are the same as that of the authors in the regular regime but in the chaos regime, my...
  50. Z

    Why the term cylindrical functions for the states in LQG?

    Why the term "cylindrical functions" for the states in LQG? I just can't find a any reference that explain the why of the term "cylindrical" for the states in LQG. Thanks in advance for any comment. Z.
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