Term Definition and 742 Threads

  1. 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...
  2. 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] =...
  3. 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.
  4. 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...
  5. 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...
  6. 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...
  7. 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.
  8. 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...
  9. 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?
  10. 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...
  11. 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?
  12. 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...
  13. 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...
  14. 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...
  15. 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?
  16. 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...
  17. 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 +...
  18. 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...
  19. 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...
  20. 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...
  21. 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...
  22. 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...
  23. 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...
  24. 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?
  25. 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...
  26. 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...
  27. 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...
  28. 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...
  29. 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
  30. 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...
  31. 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.. :)
  32. 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...
  33. 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...
  34. 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...
  35. 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...
  36. 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...
  37. 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?
  38. 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?
  39. 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...
  40. 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...
  41. 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...
  42. 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...
  43. J

    What is the term for phobia of becoming mother?

    What is the term for phobia of becoming mother? Please let me know.
  44. 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...
  45. 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...
  46. 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.
  47. 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}...
  48. 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...
  49. 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 *...
  50. 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...
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