What is Terms: Definition and 1000 Discussions

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  1. icystrike

    Integrating cos^{2m}(\theta) cos(2\theta) in Terms of A

    Homework Statement Given \int_{0}^{k\pi} cos^{2m}(\theta) d\theta = A Express \int_{0}^{k\pi} cos^{2m}(\theta) cos(2\theta) in terms of A. Totally Stucked .. :XI've substituted cos^{2}\theta = \frac{1+cos(2\theta)}{2} Then i get 1/2 A + another chunck of integral. I've used...
  2. C

    Diff eq, power series solns, how do i determine how many terms to pull?

    Homework Statement find 2 power series solutions of the given diff eq about the ordinary point x = 0 y'' - xy = 0 Homework Equations y = (c_0)(y_1)[x] + (c_1)(y_2)[x] The Attempt at a Solution i can set it up to this (sorry idk out how to insert the subscripts with the summation symbols)...
  3. S

    The Velocity in terms of time and drag K

    A body falls into viscous liquid which causes the velocity to decrease at the rate proportional to the velocity. v=velocity(m/s) t=time(s) k= constant of proportionality The initial velocity of the body=30m/s k=0.3m/s^2 t=0.25s Solve for v in terms of t and k First step possible...
  4. R

    Flight Mach number in terms of fuel flow rate and other parameters

    I've posted on here in relation to an aerospace analysis project I'm doing. I'm stuck on one part of the project where I need to develop the performance envelope of the turbojet engine. 3 of the 9 plots that are required are Thrust vs. Mach number. On each of those plots I'll about 7 different...
  5. P

    Definition of ampere in terms of a flow of electrons past a point in a wire?

    Homework Statement a.) What is the operational definition of an ampere? b.) What is the definition of an ampere in terms of a flow of electrons past a point in a wire? c.) What is the advantage of the operational definition over the definition in (b)? Homework Equations N/A...
  6. L

    Explain to me in the simplest terms triality?

    Anybody here how could explain to me in the simplest terms triality? I know some very littel Lie and representation theory. As I understand there are vector and spinor representations for so(n). If n is even, there are two spin reps and one vec rep, if n is odd there is one spin rep and one...
  7. O

    Deriving Speed In Terms of Potential Difference

    I'm attempting to derive speed in terms of potential difference (voltage), can anyone let me know if there are any errors? http://www.texify.com/img/%5CLARGE%5C%21E_k%3D%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bmv%7D%5E2.gif...
  8. G

    General Solution and Transient Terms

    Homework Statement Find the general solution of the given differential equation. Give the largest interval over which the general solution is defined. Determine whether there are any transient terms in the general solution. Homework Equations x(dy/dx) + 2y = 3 The Attempt at a...
  9. A

    Restriction on terms in the SM lagrangian

    Hello, Just a few questions about a couple of terms in and not in the SM Lagrangian. I'll talk in particular about these fields, and their representations in SU(3) x SU(2) x U(1) Q (3,2,1/6) (left-handed quarks, fermion) U (3,1,2/3) (right-handed up-quarks, fermion) \phi (1,2,-1/2) (higgs...
  10. N

    Why are hyperbolic functions defined in terms of exponentials?

    Where do the definitions of hyperbolic functions in terms of exponentials come from ?
  11. 7

    How to integrate the last two terms in that integral

    I'm having trouble with integrating this. \int_1^8 \sqrt{9x^{4}+\frac{1}{2}+\frac{1}{144x^{4}}} dx I can get the problem down to \int_1^8 9x^{2}+\frac{1}{\sqrt{2}}+\frac{1}{144x^{2}}} dx , but I don't know how to integrate the last two terms in that integral. Am I doing something wrong?
  12. A

    What is the action for E-M in terms of E & B?

    Typically the action for E-M is F_{\mu\nu}F^{\mu \nu} where F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu since the equations of motion for A_{\mu} are the inhomogenous Maxwell equations. However, here comes my problem: If one expresses this action in terms of the electric and...
  13. estro

    Switching terms in a series - theorem

    Suppose a_n defined in the following way: b_{2n}=a_{2n-1} b_{2n-1}=a_{2n} I know that \sum a_n is convergent. This how I proved that \sum b_n is also convergent. S_k=\sum_{n=1}^k b_n = \sum_{n=1}^k b_{2n} + \sum_{n=1}^k b_{2n-1} = \sum_{n=1}^k a_{2n-1} + \sum_{n=1}^k a_{2n} =...
  14. B

    Finding the First Three Terms of exp(z sin z) Taylor Series

    find the first three non zero terms in the Taylor Series about z=0 of exp(z sin z) i have little idea how to even start on the question because it is exp to the power of z sin z and it just looks too complicated. i hav tried looking thru txtbooks for something similar but no similar question...
  15. G

    Solution for Expressing Derivatives in Terms of u

    Homework Statement w(r,\theta)= u(rcos \theta ),rsin( \theta)) for some u(x,y) express \frac{ \partial w}{\partial r} and \frac{ \partial w}{ \partial \theta} in terms of \frac{ \partial u}{ \partial x} and \frac{ \partial u}{ \partial y} Homework Equations rewrite the...
  16. R

    EM Lagrangian in terms of E and B

    What's the most persuasive argument for using the potential phi and A as independent deegres of freedom in the electromagnetic Lagrangian instead of the more physical field E and B? Why does the cannonical approach break down for E and B?
  17. R

    Methods to linearize terms of PDE

    HI, I have solved the diffusion equation using the central difference scheme. Next, I would like to code this diffusion equation with a nonlinear term added to the equation. The full equation is as follows: dS/dt = Ds * d^2S/dx^2 - aS/b+S Since aS/b+S is a nonlinear term, I need to...
  18. P

    HELP Boltzmann law in terms of classical physics?

    The Stefan-Boltzmann law is as follows: The energy radiated by a black body radiater per second per unit area is directly proportional to the fourth power of the absolute temperature. Equation: I = σT^4 Is it possible to explain this law by means of classical physics only? If so...
  19. S

    Welding and some of the terms which i

    Dear all, i need help in finding out the terms below. Tried goggle it but fail to really understand them. Anyone can help? thanks! 1. Undercooling in welds 2. Quick solidification 3. Martensite, austenite, pearlite, ferrite phase for steels 4. Phase diagram for steels 5. Difference...
  20. F

    Representing a vector in terms of eigenkets in a continuos basis

    Representing a vector in terms of eigenkets in continuos basis(stuck here,guys help) I was reading Dirac and there is this formula which bothers me, |P>= \int{|\right{\xi'd}\rangle{d\xi'}} + \sum{|\right{\xi^{r}b}\rangle} Where |\right\xi'\rangle denotes the eigenket corresponding to the...
  21. P

    Transforming velocity in terms of displacement to velocity in terms of time

    Homework Statement I am modelling the motion of a space probe and have some problems with obtaining velocity in terms of time v(t). I am given Q(z)=v2(z). Q(z) is a solution to ODE which I have solved with z being the independent variable. Homework Equations Q(z)= something really...
  22. T

    Proving convergence of Sequence dependent on previous terms

    Homework Statement Let x1 > 9000, and xn+1 = )2009xn + 2010)/2011 for n >1 show that (xn) converges and find its limit Homework Equations Definition of a limit, Monotone Convergence Theorem. The Attempt at a Solution Since xn+1 is monotone for n>1 and bounded, then it...
  23. Q

    Find the First 4 Terms of Two Linear Solutions for y"+xy'-5y=0 at x=0

    Homework Statement Find the first 4 terms of teach of the two linear independent solutions oftheEQUATION -------------------------------------------------------------------------------- y"+xy'-5y=0 a the ordinary point x=0 I am stuck at the circled part of the question and unable...
  24. D

    Scalar Product of Momentum Eigenvectors in terms of Little Group Representation

    I'm trying to derive the equation for the scalar product of one particle momentum eigenvectors \Psi_{p,\sigma} ( p is the momentum eigenvalue and \sigma represents all other degrees of freedom), in terms of the little group of the Lorentz group with elements W that take the standard four...
  25. A

    Gradient in Spherical Coordinates: Computing w/ {em} & {wm}

    So I am working in spherical coordinates and to find the gradient I have the eqn G-1d\phi where \phi is a scalar function Then I am supposed to compute in terms of {em} and {wm}. I am just confused what it means to compute in terms of? Do i have to convert the co and contra vectors...
  26. S

    The SUSY F and D terms, and the scalar potential

    Hello all. Again, thank you for the help so far. Forgive the lack of tex in this post, it somehow was creating errors no matter what I tried. My question this time involves understanding the F and D terms in SUSY theories. From what I understood, they were introduced as auxiliary fields (EOM...
  27. H

    Definitions of greatest and least elements in terms of strict orderings

    Homework Statement State the definitions of greatest and least elements in terms of strict orderings. Homework Equations Let \leq be an ordering of A and < be a strict ordering on A, and let B \subseteq A. b \in B is the greatest element of B in the ordering \leq if, for every x \in...
  28. nukeman

    Website that helps pronounce Biology and Chemistry terms ?

    I know someone who is doing biology and chemistry 11 and soon biology and chemistry 12, but has a hard time pronouncing all the terms (learning english) Is there a website out there that helps people pronounce all the terms in biology and Chemistry, in a grade 11/12 level? Thanks!
  29. maverick_starstrider

    Fluctuation Terms in Landau Theory

    Alright, here is something that is driving me insane. I feel like I've looked through every stat mech book on the planet and not a one discusses this stuff properly. My difficulty is in the study of phase transitions when one applies Landau's approach of expanding the free energy about the...
  30. L

    Finding the momentum of an electron in terms of a voltage

    Homework Statement For a lab we are doing my Modern Physics class, we have fired a beam of electrons at carbon in a glass bulb and observed an interference pattern due to the beam reflecting off of the carbon at the correct angle (when n*wavelength = 2dsin(theta) where d is the distance...
  31. L

    Express the potential energy U in terms of M and v

    Homework Statement For a finite isothermal sphere with a radius R and circular velocity v (remember, the rotation curve is constant), we derived the total mass and potential energy as M =v2R/G U = -GM2/R Express the potential energy U in terms of M and v. Use the virial theorem to fi nd...
  32. H

    Finite difference terms for boundaries

    Hi, We all know that the finite difference formulae for the derivatives are given by: \frac{dy}{dx}_{i}=\frac{y_{i}-y_{i-1}}{\delta x} and \frac{d^{2}y}{dx^{2}}=\frac{y_{i-1}-2y_{i}+y_{i+1}}{\delta x^{2}} What would be the formulae for the boundary terms? when i=1? I think I can...
  33. C

    Trying to get this equation in terms of x

    Homework Statement I need to have x on the LHS in terms of just y, h and t on the RHS:Homework Equations x = y + h(t2 - x2)sin(x)The Attempt at a Solution I really don't know where to begin. I'm pretty sure there'll need to be an arcsin somewhere. Is this even possible? Thanks in advance!
  34. A

    What is action in human terms?

    What is "action" in human terms? A friend, humanist by profession, asked what is "power"? Well, that was easy to explain in human terms. You do a certain amount of work, you use a certain amount of calories, you can do you work slowly, during one day, or you want to do it in one hour. Then you...
  35. V

    Mass terms in quantum field theory

    Does anyone know why in quantum field theory mass terms are quadratic in fields (not contaning derivatives)? Thanks!
  36. C

    Writing unit vectors in terms of sin/cos?

    Where could I find a webpage or guide on how to write unit vectors in terms of sin and cos? I looked through my textbook and tried searching google, but I can't find anything...I must be using the wrong terminology. edit: Delete me! I had one of those epiphany moments and figured it out...
  37. N

    Boundary terms in hilbert space goes vanish

    Thant helped. thank you!
  38. M

    Derive a formula for momentum in terms of kinetic energy

    Homework Statement Using: particle velocity, beta particle momentum, p total energy, E Lorentz factor, gamma kinetic energy, KE Derive an equation for momentum as a function of kinetic energy. The functions have to depend either on the variable in the bracket, p(KE), or on a...
  39. I

    Fluids - Bernoulli's equation - (First and Third Terms)

    Hello, I am having some difficulty in understanding the terms in Bernoulli's equation. Bernoulli's equation is given as follows: P + 0.5(rho)(V^2) + (rho)gh = constant (along a streamline) The first term (P) is the Static Pressure. The second term (0.5(rho)(V^2)) is the Dynamic...
  40. J

    How to decompose the below fraction into sum of 2 terms.

    as below, my math is getting rusty, hope some can help me out. thanks. \frac{1}{1+\frac{1}{x}}
  41. M

    Laurent series throwing away terms

    Laurent series "throwing away" terms Homework Statement Veeeery similar to https://www.physicsforums.com/showthread.php?p=1868354#post1868354": Determine the Laurent series and residue for f(z) = \frac{1}{(e^{z} - 1)^{z}} Homework Equations We know that the Taylor series expansion...
  42. S

    Understanding Kleins Bottle: Explained in Layman's Terms

    Can anyone explain in laymans terms what a Kleins bottle is . I have encountered the definition that it is a non orientable surface , that it is a 2 dimensional manifold in 4 dimensions. I don't have a clue what a non orientable surface is , or what a manifold is . I also don't have any idea...
  43. S

    Explain the pressure terms in Bernoullis Equation

    The Bernoullis Equation for an Incompressible Inviscid flow (say water) is as follows: p + (1/2).ρV^2 + ρgh = constant where, In words, static pressure + dynamic pressure + pressure energy due to height = constant It gives the Energy...
  44. P

    General Lorentz Matrix in Terms of Rapidities

    Does anybody have a reference or can write out the general (so not just a boost in only one direction) Lorentz matrix in terms of rapidities?
  45. N

    Find the first three terms a geometric sequence

    Homework Statement Find the first three terms of a geometric sequence given that the sum of the first four terms is 65/3 and the sum to infinity is 27. Homework Equations \begin{array}{1} S_n = \frac{a(1 - r^n)}{1 - r}\\ S_n = \frac{a(r^n - 1}{r - 1} \end{array} The Attempt...
  46. silvermane

    Rational numbers and Lowest terms proof:

    I've been recently reading a book on abstract algebra and number theory, and I stumbled upon a problem that at first glance looked obvious, but I can't seem to figure out how to formally write the proof. 1.)So, let's say we have 4 integers, r,s,t,u, all greater than or equal to 1. Suppose...
  47. Mentallic

    Trigonometric functions: express sin(x) in terms of tan(x)

    Homework Statement I want to express sin(x) in terms of tan(x).Homework Equations tan(x)=sin(x)/cos(x) 1+tan2(x)=sec2(x)The Attempt at a Solution sin(x)=cos(x)tan(x) At this point I realize this is assuming x\neq \pi/2+k\pi cos^2(x)=\frac{1}{1+tan^2(x)} therefore...
  48. A

    Solve for x in terms of y (Quadratic formula)

    Homework Statement Use the quadratic formula to solve the equation for (a) x in terms of y and (b) y in terms of x. Homework Equations 4x^2 - 4xy + 1 - y^2 = 0 The Attempt at a Solution I am not really sure where to start at all. If I could just figure out the values for a, b, and...
  49. N

    Limits: Find (in terms of the constant a)

    Homework Statement Find (in terms of the constant a) lim (√8(a+h) - √8a)/h h=>0 Homework Equations The Attempt at a Solution I tried a few ways of simplifying the numerator and trying to cancel out the h's but each time I try it doesn't come out right at all or I still...
  50. E

    Questions about wave-particle duality terms

    Hello, I have some questions, but I'm not posting on quantum mechanics because as written in the FAQ, wave-particle duality is not really the realm of quantum mechanics, but is only a way for us to imagine what's going on. Is it true that the uncertainty on the location \Deltax, is in fact...
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