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. L

    First law of thermodynamics in layman's term

    The first law of thermodynamics dU=dQ-dW could be expanded to dU=TdS-PdV where U is internal energy, T is temperature, S is entropy, P is pressure, and V is volume. I am trying to understand the terms one by one in plain English. So: V is how big the container is...
  2. H

    Integration of a term that is squared, cubed, etc.

    Hi, I was wondering if the following statement is correct: \int(\frac{du}{dx})^{2}dV=\int\frac{du}{dx}dV\int\frac{du}{dx}dV Please help! Thanks!
  3. D

    Series solution up to a term, power series

    Homework Statement consider the initial value problem (1-x)y,,+xy,-2y=0 find the series solution up to the term with x6 Homework Equations (1-x)y,,+xy,-2y=0 The Attempt at a Solution assuming the answer has the form \Sigmaanxn that gives y,,=\Sigmananxn-1 and...
  4. I

    Finding Linear Transformation that will remove cross product term.

    Homework Statement Find a linear transofmration from X={x1,x2,x3} to U={u1,u2,u3} which will remove the cross product term in the quadratic form of equation 2X12+4X22+5X32-4X1X3 and thus write the resulting quadratic form in u1,u2,u3. Homework Equations The Attempt at a Solution No...
  5. L

    The interference term. Confused.

    Can someone explain what the difference is between the expectation value of an observable in a pure vs a mixed state. The equations are identical. For example with spin up and down |A|^2<S_u|O|S_u> + |B|^2<S_d|O|S_d>
  6. O

    OLUTION: Physics Term Paper Ideas for Mechanical Engineering Majors

    Hey guys, I have to write a term paper over the summer long semester in a University Physics class. I'm completely overwhelmed with topics, and have no clue of what might be too general of a topic as this is my first physics class ever! Of course, we have to use library databases and...
  7. Y

    Why Did My Spring Term Grades Ruin My Chances for Grad School?

    Well...I am an engineering major who decided to take more math classes last spring term to prepare myself for the possibility of engineering grad school. Just got back my spring term grades and it was an absolute shock. I used to average near an A- but my grade point average dove by 0.19...
  8. N

    Additional Term added to Electromagnetic Lagrangian

    I am currently reading and trying to solve most of the problems in Carroll's Geometry and Spacetime. I am generally okay at the math (I've done some mathy Riemannian Geometry type stuff), but am not overly good at some of the higher-level physics. Homework Statement (Chapter 1, Question 13)...
  9. S

    Nth term of prime number sequence

    I want somebody to help me what attempts have been made to understand the sequence of prime number. Is the Nth term of the sequence disclosed?
  10. S

    Define Speed in Rotating Machines: Answer & SI Units

    electronics question Define the term “Speed” as employed in rotating machines, and state its (S.I) units. anyone know the answer? is it rad per second?
  11. M

    Post Your Grades for Spring Term

    If you want to! I had to make this topic, because I have been waiting for grades for the last week, checking incessantly each and every day. I finally found out that I received an A in Chemistry I and a B in Calculus II. I wanted an A in Calculus II, but after a slow start to the semester...
  12. Femme_physics

    What is the Correct Translation for Regression Rule in Mathematics?

    Trying to translate a mathematical term from Hebrew to English ("regression rule") If I translate it word by word in Hebrew, it's the "regression rule" Such as, I am told that "a series is defined for every natural n by the regression rule"...
  13. S

    Whats the difference between recursive formula and general term?

    To solve this question i came up with what i think is the recursive formula, the question is in the attachment, the recursive formula i came up with is Tn=tn-1+2 when t1=8 using the formula i can solve the questions but then it asks me to come up with a general term as well...what is...
  14. S

    Generating functions with n term outside

    Homework Statement Discrete mathematics is it possible to have a generating function where there is an n term outside the sum? such as 2^n SUM ( bn(0.5)^n * z^n) eg the 1st turn would be 2^n bo z^0 when you evaluate the series it evaluates to the series which i am trying to...
  15. M

    Find the Nth Term: Simplifying the Denominator

    Homework Statement find the nth term Homework Equations x/2+(x^2)/3+(x^3)/2^2+(x^4)/3^2+(x^5)/2^3+... The Attempt at a Solution the numerator clearly is x^n but i have problems with the denominator
  16. K

    I always hear the term with electrolytes

    I always hear the term "with electrolytes!" I always hear the term "with electrolytes!" thrown onto sports drink labels. What does this mean? Is it really useful for athletes? I thought electrolytes were chemicals that conducted electricity as a liquid - but it's been a long time since chem...
  17. G

    Schrödinger equation with spin term

    hi, can anybody of you show me how the schrödinger equation with the spin term of the electron for the hydrogen atom looks like? i really do not know how to do this Gavroy
  18. M

    Johnson and Shot noise the Frequency Term

    I am a bit confused over the frequency term that appears in Johnson and Shot noise formulae. What is this term? Is it bandwidth? Of what? In relation to say a photodiode, is it the range of frequencies being detected? And how would this relate to say a DC circuit which no frequency terms...
  19. S

    Find term of a rational partial (reduced) fraction

    Homework Statement Find the coefficient on the x^2 term in ∫[(x+9)/3] * [log(x+1)] * dx Answer: -1/12 Homework Equations Integration by parts ∫dv * u = u * v - ∫du * v The Attempt at a Solution 1. I integrated by parts to get ------------------------- ∫[(x+9)/3] * [log(x+1)] * dx] =...
  20. haael

    In layman's terms: what does the term in layman's terms mean?

    In layman's terms: what does the term "in layman's terms" mean? Please explain that to me. Everyone is using it and I don't get it. It bugs me so much I can't sleep.
  21. X

    Practical field strength leads to negligible term ?

    Homework Statement the Hamiltonian of a free particle in an electromagnetic field is, H=H_{free} + H_{int} + \frac{q^2 A^2}{2mc^2} where the free Hamiltonian is just {p^2}/{2m} and the interaction Hamiltonian is, H_{int} (x) = -\frac{q}{mc}p\cdot A + q A_0 Show that the last term in...
  22. P

    Angle calculation from Atomic Term Symbol

    Homework Statement Calculate the smallest angle (in degrees) that the total angular momentum of an atom in a 7D term can make with the z-axis. Homework Equations 2S+1LJ The Attempt at a Solution Given that the total angular momentum of the atom is defined by the quantum number J...
  23. T

    Method for finding the general term of a sequence

    Homework Statement Find the general term of the sequence, starting with n=1, determine whether the sequence converges, and if so find its limit. (a) {(1/2), (3/4), (5/6), (7/8), ...} (b) {(1-(1/2), ((1/3)-(1/2)), ((1/3)-(1/4)), ((1/5)-(1/4)),...} Homework Equations My text only...
  24. Danger

    This has got to, for all time, define the term

    This has got to, for all time, define the term "clueless". North Americans of my generation will get it right away; I'm not sure about the rest of you. For maximum effect, watch right until the end, because that's where the punchline is delivered by Larry himself...
  25. H

    Finite Difference Discretization of a Fourth Order Partial Differential Term

    What is a finite-difference discretization for the partial differential term: \frac{\partial^4\phi}{\partial x^2\partial y^2} Thanks in advance.
  26. U

    Damping term in Euler Bernoulli equation

    hello, I have made an FEM simulation of a cantilever beam in Matlab. I have included the damping using damping matrix C= alpha x M + beta x K. Problem is that I want to compare my result with this paper http://flyingv.ucsd.edu/rvazquez/Journal/nano.pdf (See eq.1) where the...
  27. N

    Navier stokes equeations, shear term

    Hey!, I was repeating for myself a course I had from a earlier year, fluid mechanics. I looked at the derivation of the navier stokes equations, and there is one term that does not give meaning to me. Take a look at the x-momentum equation here...
  28. D

    What is the meaning of the term ''refractive index of a medium''?

    My answer is: it is the relationship between the angle of incidence and the angle of refraction. Is it correct? If not, what should be the correct answer?
  29. N

    Im having a Rough Term, need advice

    Hi everyone, Im in my third year of studying chemical engineering. Its been ALoT of work so far, but its always been manageable and I've been able pass every class so far and I have a pretty good gpa (3.5). However, this current term is really killing me. I dedicate every waking moment...
  30. P

    Term ground mean in an ELECTRONIC circuit?

    term "ground" mean in an ELECTRONIC circuit? What does the term "ground" mean in an ELECTRONIC circuit? A bus strip usually contains two columns: one for GROUND and one for a supply voltage. What does ground mean in this context and how do we ground a circuit while using a breadboard?
  31. M

    Using power series remainder term

    Homework Statement (For power series about x=1) Using the error formula, show that \left|ln(1.5)-p_{3}(1.5)\right|\leq\frac{(0.5)^{4}}{4} Homework Equations p_{3}(x) = x-1 - \frac{(x-1)^{2}}{2} + \frac{(x-1)^{3}}{3} \\\epsilon_{n}(x)=\frac{f^{n+1}(\xi)}{(n+1)!}(x-x_{o})^{n+1}\\where \xi lies...
  32. J

    Potential energy term in fracture

    Hi I have a simple question about thin-film peeling physics. A lot of papers say that the potential energy term in peeling off a tape is F(1-cos@)del c in the picture attached. It says that the potential energy term arises due to the movement of the applied force, which i don't really...
  33. J

    Why do some solutions in general relativity have no mass term?

    I'm not very fund of the subject, but what i know is that the Schwarzschild metric and other known solutions for Einstein's action have some constant representing mass. However, I encountered some solutions where no such constant existed. Can someone explain to me what does this mean exactly? In...
  34. M

    Solving Linear Second Order PDE with Mixed Derivative Term?

    I've tried and failed to search for this on the forum, so apologies if this has been answered many times before. Given a variable u which is a function of x and y: u = u\left(x,y\right)\\ is it possible to solve the pde: Au_{xx} + 2Bu_{xy} + Cu_{yy} = D\\ The knowns are: The real...
  35. F

    What exactly are Magnetars? I've heard the term used before, and all I

    What exactly are Magnetars? I've heard the term used before, and all I remember about them are that they have very powerful magnetic fields. What are they? How do they form and how do we detect them?
  36. A

    Computer term: what's this called?

    2 issues. 1. I don't know what this is called. unicode or something? allow me to explain. I opened a notepad. Typed something in Korean and saved it long time ago. Now I switched regional settings to Japanese. I opened the notepad I saved long time ago and the text is now shown in Japanese...
  37. J

    Does the Partial Deriv wrt z of VyUz Term Cancel?

    I am trying to prove two things equal that involves a bunch of dot products, cross products and curls. I can't remember the exact problem, but this demonstrates my question.My question is the left side \delta/\deltax*(UxVx + UyVy + UzVz) The right side is \delta/\deltax*(VxUx + VyUy + VzUz +...
  38. L

    Boltzmann collision term irreversibility

    Hello, Here is the Boltzmann collision term as it is expressed on http://en.wikipedia.org/wiki/Boltzmann_equation" : Deriving the H theorem from this equation is the way to usually prove of the irreversibility of this term. Of course, this collision term should not be symmetric by...
  39. A

    First term of foundations of physics vs the second term

    I took the first term of a Foundations of Physics sequence (251) last year, and understood most of the material fairly well. It was calculus based Newtonian mechanics; units and vectors; one-dimensional motion; Newton’s laws; work and energy; momentum and collisions. Since it's been a year...
  40. M

    Building Blocks of Life: Paradox of Drake Equation Fl Term

    The evidence commonly presented for the formation of life (Fl term of Drake equation) 1.Life formed virtually as soon as possible on Earth (when conditions were suitable) It implies that life is easy to form when we have the right conditions [Does the Rapid Appearance of Life on Earth Suggest...
  41. I

    How do you integrate the Hopf term in 2+1 dimensions?

    Hi, I'm reading Quantum Field Theory in a Nutshell by A. Zee, which is excellent but it is occasionally difficult to fill in the blanks on one's own. Once such place is the integration of the Hopf term, which results from integrating out the gauge field in a Lagrangian with a Chern-Simons...
  42. A

    Why there isn't a work term in entropy balance equation?

    Homework Statement Hi, I need your help in my homework. My Instructor asked that question? Why there is not a work term in entropy balance equation? Homework Equations The Attempt at a Solution I have researched about it and I found that, entropy has not an exact physical...
  43. S

    Explain the term permittivity and how this affects force

    Hey everyone I just started an engineering course and have been given a few questions but I am struggling with this one as i feel that i have not included all the info that should be there. Can someone tell me briefly what they would explain the term permittivity as and how they think it would...
  44. L

    Is it possible ( term symbols )

    Is it possible to calculate the energy of a state from an atomic term symbol? Or are we only able to use the lande inteval rule to find spin orbit interaction splittings?
  45. fluidistic

    Interferance term, sum of 2 waves

    Homework Statement Consider the following waves: \vec E _1 (\vec r , t) =\vec E_1 (\vec r) e^{-i \omega t} and \vec E _2 (\vec r , t) =\vec E_2 (\vec r) e^{-i \omega t} where the form of the wavefront isn't specified and where \vec E_1 and \vec E_2 are complex vectors which depend on spatial...
  46. T

    Simple integral leads to Kronecker delta term?

    Homework Statement \int_{0}^{b} \int_{0}^{2\pi} C_{k,m}(r)^2 \left{\begin{array}{cc}cos(m\theta)^2\\sin(m\theta)^2 \end{array}\right} r dr d\theta Homework Equations See above The Attempt at a Solution Ignoring the 'r' integral for a second, the solution that I see written...
  47. H

    What are the meanings of highlighted term?

    An interesting sideline about Galilean relativity is the following. Up to that time the perennial question was, what kept a body moving? Galileo realized that this was the wrong question, since uniform motion in a straight line is not an absolute concept. The right question is, what keeps a body...
  48. B

    Spectroscopic term of ground state electron configuration of Carbon atom

    The ground state electron configuration of Carbon atom is 1s^{2}2s^{2}2p^{2} For the electrons, 1s^{2}2s^{2}, L=0, S=0 So only consider electrons of 2p^{2}, and s_{1}=s_{2}=1/2 ---> S=0,1 l_{1}=l_{2}=1 ---> L=0,1,2 For S=0, L=0; J=0, so we have ^{1}S_{0} For S=0, L=1; J=1, so...
  49. S

    Finding the General Term for Perfect Squares

    a1=22+32+62 a2=32+42+122 a3=52+52+202 Using these, gIve a general term for an such that an is always a perfect square
  50. V

    Convergence of a sequence when ratio of consecutive term converges

    Homework Statement Assume all sn =/= 0, and that the limit L = lim|(sn+1)/(sn)| exist. a) Show that if L<1 then lim sn = 0 b) Show that if L>1 then lim sn = + oo Homework Equations There is a hint that we should select 'a' s.t. L<a<1 and obtain N s.t. n>N => |sn+1 < a|sn|. Then show that...
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