What is Terms: Definition and 1000 Discussions

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  1. R

    What the terms orthogonal & basis function denote in case of signals

    I am a beginer. I have read that any given signal whether it simple or complex one,can be represented as summation of orthogonal basis functions.Here, what the terms orthogonal and basis functions denote in case of signals? Can anyone explain concept with an example?Also,what are the physical...
  2. W

    Engineering How to find the Vout in terms of Vin for this circuit?

    Homework Statement Finding Vout in terms of Vin Vs=5sin(10t)mV Assuming an ideal op-amp Homework Equations V=IR Nodal Analysis The Attempt at a Solution I am able to caluclate V(pi) and therefore,the value of the current source. However, I am not sure how the current flows after that...
  3. U

    Redshift in Terms of k | General Relativity

    Hi, I have been studying general relativity using Hobson's lately, particularly about the FRW universe. I know that for a matter universe with curvature, H^2 = \left( \frac{\dot a}{a} \right)^2 = \frac{8\pi G}{3} \rho_m -\frac{kc^2}{a^2} Another expression I came across is also 1 = \Omega_m +...
  4. davidbenari

    Writing complicated integral in terms of the Gamma function

    Homework Statement Write ##\int_{0}^{1}x^2(ln\frac{1}{x})^3 dx## in terms of the gamma function 2. Relevant equation ##\Gamma(p+1)=p\Gamma(p)## The Attempt at a Solution Say ##x=e^{-u}## one would eventually obtain the integral ##\int_{-\infty}^{0} u^3 e^{-u} du## STEPS: ##x=e^{-u}##...
  5. R

    Semiconductor problem - Rearranging terms.

    Homework Statement Determine values for beta the constant of proportionality for a semiconductor. Homework Equations Given below. The Attempt at a Solution Im struggling with line 2 to line 3 of the solution. The problem I'm having is I can't see where the squared exponential term has...
  6. I

    Defining Light and Electromagnetism in simple layman's terms

    The way I have interpenetrated this phenomena without technical jargon is that: Light is basically waves or ripples of the + and - charges of the electromagnetic field which permeates the entire universe. This is very similar to sound rippling through a field of air molecules. These waves can...
  7. Ahmad Kishki

    Disappearing terms in electrodynamics boundary conditions

    In the derivation of the boundary conditions we apply the integral form of maxwell's equations, but once we take a very small volume we find that some terms disappear like the displacement current as well as the time derivative of the magnetic field. Why do these terms disappear? For reference...
  8. S

    MHB Write the piecewise function in terms of unit step functions.

    Write the piecewise function \[ f(t) = \begin{cases} 2t, & 0\leq t < 3 \\ 6, & 3 \le t < 5 \\ 2t, & t \ge 5 \\ \end{cases} \] in terms of unit step functions. So here is what i;ve got just guessing , I don't think I'm correct. I really need some help. But I got...
  9. S

    MHB Kernel of integral eq of positive terms only

    Again it's the Fredholm integral equation of the 2nd type, that is $y(x)=f(x)+\int_{a}^{b} \,k(x,t) y(t) dt$ , where $a,b>0$ I am taking the norm of the integral operator equal to $||K||= max ([a,b] \int_{a}^{b} \,|k(x,t)| dt$ the kernel is represented by a series of positive terms only or...
  10. eee_engin33r

    System Loss In Terms of I why not V?

    We all know that the system loss in transmission line is i^2R. So, in order to reduce the loss we diminish the current flow through the line by means of transformer. My question is i can also calculate system loss by the formula v^2/R where v is the potential across transmission line. So...
  11. Drakkith

    Implicit Differentiation: Differentiating in Terms of X

    I'm having some trouble with the terminology used in calculus. My book states: "Fortunately we don't need to solve an equation for Y in terms of X in order to find the derivative of Y. Instead we can use the method of implicit differentiation. This consists of differentiating both sides of the...
  12. A

    Summation of exponential terms

    I found the following identity in a paper: ## \sum_{l=1}^{\infty}exp(-\pi\alpha l^2)=(\frac{1}{2\sqrt{\alpha}}-\frac{1}{2})+\frac{1}{\sqrt{\alpha}}\sum_{l=1}^{\infty}exp(\frac{-\pi l^2}{\alpha}) ## Someone please let me give some hints on how to prove this.
  13. K

    Getting Planck's Law in terms of frequency from wavelength

    Show that Planck's law expressed in terms of the frequency f is: u(f) = (8πf2/c3)(hf/(ehf/kT - 1)) from the equation: u(λ) = (8πhcλ-5)/(ehc/λkT - 1) When I do this algebraically by simply plugging in λ = c/f, I get: u(f) = (8πhc-4)/(f-5(ehf/kT - 1) which clearly doesn't involve the correct...
  14. E

    Write this integral in terms of gamma function

    Hey! So I'm self studying mary boas's mathematical methods book and I've come across this integral: \int _{0}^{\infty }e^{-x^4}dx and I'm suppose to write this using the gamma function. The hint given states to let x^4 = u. And the answer is: \Gamma \left( \dfrac {5} {4}\right) I tried...
  15. Calpalned

    Expressing Newton's 2nd law in terms of momentum

    Homework Statement Show that ##\Sigma \vec F = \frac {d \vec p}{dt} ## Homework Equations ##\Sigma \vec F = m \vec a ## ## \vec a = \frac {d \vec v}{dt} ## ## \vec p = m \vec v ## The Attempt at a Solution We need to prove that ## \frac {d \vec p}{dt} = m \vec a ##. When I physicists...
  16. D

    Why are vectors defined in terms of curves on manifolds

    What is the motivation for defining vectors in terms of equivalence classes of curves? Is it just that the definition is coordinate independent and that the differential operators arising from such a definition satisfy the axioms of a vector space and thus are suitable candidates for forming...
  17. Y

    Essential Aerodynamics Terms for Beginners

    I want to start studying aerodynamics. To get me started, what are the basic terms that I need to know?
  18. M

    Can anyone help me solve this Integration of three terms?

    I have been trying to solve an integration that i have I am not even sure if it's possible. Here, A, m, alpha, a these are constants. I have tried few methods, but couldn't find any way out. I would appreciate any help.
  19. J

    How do you use these terms differently?: monitor, display, w

    There are too many terms to describe digital screen or part of it and I am having hard time how to correctly use them. Am I correct to say they relate as follows?: Monitor (physical) | Display (*all figurative after this) = screen = view = window > pane (part of display/screen/view/window)...
  20. T

    Estimate number of terms needed for taylor polynomial

    Homework Statement For ln(.8) estimate the number of terms needed in a Taylor polynomial to guarantee an accuracy of 10^-10 using the Taylor inequality theorem. Homework Equations |Rn(x)|<[M(|x-a|)^n+1]/(n+1)! for |x-a|<d. The Attempt at a Solution All I've done so far is take a couple...
  21. F

    MHB Applying function to entire side of equation, not just terms

    I hate to ask this but whenever applying a function to the equation, the arguments is the entire one side of the equation right? What I mean is ln|y|=ln|x|+C can be rewritten as e^{ln|y|}=e^{ln|x|+C} but not e^{ln|y|}=e^{ln|x|}+e^C ? So the entire RHS or LHS becomes the argument? Similarly...
  22. resurgance2001

    A good place to find out the meaning of basic math terms

    Hi I have trying to study independently some fairly high level physics but I keep getting bogged down with simple (I imagine for other people) mathematics terms: Here is a partial list of terms I don't get: Operator Argument Mapping ComutatorThere are probably many others. My question is...
  23. Jewish_Vulcan

    Describe disorder in terms of entropy

    when they mean disorder do they mean the range of velocities of the particles increasing as entropy increases? so there are larger differences between the low KE particles and the high KE particles?
  24. J

    How do you know if a fraction is in lowest terms

    when I am adding, subtracting, multiplying and dividing fractions and I get an answer is there a way I can check to make sure my answer is in lowest terms ?
  25. H

    Units of plancks law in terms of wavelength

    The dimensional term in Planck's law (after getting rid of steradians) is [itex]\frac{h c^2}{\lambda^5}[\itex]Which seems to yield units of J*m/s. However, Wikipedia suggests that the units are J/(m3*s). If wikipedia is right, how do you get that answer?
  26. C

    Expressing kinetic energy as sum of vector and tensor terms

    Homework Statement A system of N particles described by the vector coordinates ##\mathbf{r}_k, k = 1,2, \dots, N ## subject to 3N - f constraints can be expressed in terms of generalised coordinates ##q_i, i=1,2, \dots, f## by ##\mathbf{r}_k = \mathbf{r}_k(q_1, q_2, \dots, q_f, t)## a) Prove...
  27. G

    Calculate metric tensor in terms of Mass

    Homework Statement Suppose everything is moving slowly, How can we find the metric tensor in GR in terms of the mass contained. Homework Equations I understand in case of everything moving slowly only below equation is relevant - R00 - ½g00R = 8πGT00 = 8πGmc2 The Attempt at a Solution None.
  28. B

    Formulae with logarithmic terms

    Homework Statement w = 1/h ln(l/lo-1) w=-2.6, lo=16 and h =1.5 Find L. Homework EquationsThe Attempt at a Solution Plug in the values 2.6 = 1/1.5 ln(l/16 - 1) Make the log term the subject. ln(L/16 -1) = 1/1.5/-2.6 ln(L/16-1) = 0.666/-0.256 ln(L/16-1) = -0.256 Change the log statement to an...
  29. Safinaz

    Fermions Mass Terms in SM: Questions & Answers

    Hi all, I have some points not so clear for me about the fermions mass terms in SM; first, why ## \bar{\psi}\psi = \bar{\psi}_L \psi_R + \bar{\psi}_R \psi_L ##, that since ## \bar{\psi} = \bar{\psi}_R + \bar{\psi}_L ## and ## \psi = \psi_R + \psi_L ## Where are such terms: ## \bar{\psi}_R...
  30. iwantcalculus

    Can someone explain this answer "in layman's terms"?

    The question is : Show that the curve defined implicitly by the equation X*Y^3 + x^3*Y = 4 has no horizontal tangent.The answer is : Can someone please explain what steps are used in order to obtain the answer in a simple way for a calculus beginner? This answer is not helping me understand...
  31. R

    Angular momentum commutation relation, extra terms?

    Homework Statement What is the commutation relation between the x and y components of angular momentum L = r X P Homework Equations None. The Attempt at a Solution I do r X p and get the angular momentum componants:L_{x} = (-i \hbar) (y \frac{d}{dz} - z \frac{d}{dy}) L_{y} = (-i \hbar) (z...
  32. M

    Forming a general summation of terms

    Hi, I was trying to form a summation for ##y_1## and have provided a solution but do not quite understand how it was formulated. I was trying to look for general patters and besides a ##(-1)^{n+1}x^2n## in the numerator, I'm a little lost on how to find a general term for the denominator. Also...
  33. L

    Expand (b^2 + y^2)^(3/2) as a Taylor's series In terms of y/b

    Homework Statement [/B] Expand (b^2 + y^2)^(3/2) as a Taylor's series In terms of y/bHomework EquationsThe Attempt at a Solution [/B] Hello, I'm clueless on this one. I tried to factor out b^3 -> b^3(1 + y^3), but can't figure out what to do next. Thanks in advance.
  34. ShayanJ

    Negligible terms and Lagrangians

    Consider a theory with the Lagrangian \mathcal L=\mathcal L_{free} + \mathcal L_{int} . I think if we say \mathcal L_{free} \gg \mathcal L_{int} , this means that the equations of motion will be much near to the free equations. But I'm not sure that we can prove that if in an equation of...
  35. C

    Image formation in terms of electromagnetic waves

    In texts on geometrical optics I have read that an image is formed where light rays converge -- without an explanation of why. Thus I ask, why are images formed where light rays converge? In particular, what is the answer to this question in terms of the wave theory of light (Electrodynamics)...
  36. T

    MHB Expressing sin/cos(2θ) in terms of x....

    For the question, If x = 3cos(θ), 0<θ<π/2, express sin(2θ) in terms of x. I confirmed that the following is correct: sin(2θ)=(2x/9)√(9-x^2) But for this next one...the x+1 is throwing me through a loop or something. If x+1 = 3sin(θ), 0<θ<π/2, express cos(2θ) in terms of x. cos(2θ) = fail...
  37. D

    MHB Finding terms in arithmetic progressions

    3). A company is to distribute \$36,000 in bonuses to its top five sales people. The fifth salesperson on the list will receive \$6,000 and the difference in bonus money between successively ranked salespeople is to be constant. find the bonus for each salesperson. 4). Find the third term of...
  38. T

    Representing a function of one variable in terms of a sequence of gaussians

    Is this possible? It seems like it should be but, it's difficult to find an explicit relationship between a general function of one variable x (let's say we are only interested in functions that decay to zero as they go to plus or minus infinity) it seems like summing a bunch of gaussians of...
  39. E

    Singlet and Triplet Terms misunderstanding

    I am a little unclear on why in atomic physics that the total orbital momentum terms have to be specifically singlet or triplet states, for example G -Singlet F -Triplet D -Singlet P -Triplet S -Singlet I think it has to do with the pauli exclusion principle but don't really understand the...
  40. Q

    The equation to calculate the tension in terms of Coulombs Law

    Hello I was wondering what the equation is to calculate the tension in terms of coulombs law an example problem would be http://gyazo.com/1319551eb367990c75ee0a782e38a2c2
  41. D

    Finding the distance between two points in terms of variables

    1. A spring of spring constant k is attached to a support at the bottom of a ramp that makes an angle θ with the horizontal. A block of inertia m is pressed against the free end of the spring until the spring is compressed a distance d from its relaxed length. Call this position A. The block is...
  42. B3NR4Y

    Inertia of a Giraffe in Terms of a Monkey (I'm serious)

    Homework Statement For my second thread of the day I will give the weirdest problem I've encountered in physics yet. In the mobile what is the inertia of the giraffe mgir in terms of the inertia mm of the monkey? Homework Equations I = md2 The Attempt at a Solution In the picture, the giraffe...
  43. C

    Deriving spherical unit vectors in terms of cartesian unit vectors

    I'm trying to find the azimuthal angle unit vector \vec{\phi} in the cartesian basis by taking the cross product of the radial and \vec{z} unit vectors. \vec{z} \times \vec{r} = <0, 0, 1> \times <sin(\theta)cos(\phi), sin(\theta)sin(\phi), cos(\theta)> = <-sin(\theta)sin(\phi)...
  44. M

    Flux linkage in terms of a straight conductor

    Taken from wikipedia, "If several turns of the wire are made, this becomes where N is the number of turns..." when speaking in terms of flux linkage and coils of a wire. However, in terms of a straight conductor (e.g. transmission lines), flux linkage for a meter long straight conductor has...
  45. K

    What is a photon in terms of EM waves?

    Is it one wavelength of EM wave? I have googled for this and I can't find an explanation for what a photon is in terms of EM waves.
  46. E

    How to find one value in terms of other variables?

    Homework Statement I need to find q in terms of f and p. Homework Equations I am dealing with this equation at the moment: 1/p + 1/q = 1/f. The Attempt at a Solution I think I should isolate the q, so that I have the variables p and f on one side of the equals sign, and q on the other side of...
  47. A

    Why two terms "Dark Energy" and "Dark Matter"

    As I understand "Dark Matter" is an _assumption_ of existence of matter in certain space, to explain gravitational effects on the matter around that space. But when it comes to "Dark Energy" it is another assumption to explain why universe is expanding. But by Einstein's theory, mass and energy...
  48. N

    Find an expression in terms of v in terms of p, b and a

    Homework Statement If a car has p litres of petrol in the tank it can travel a kilometres. With v litres of petrol in the tank it can travel b kilometres. Find an expression in terms of v in terms of p, b and a. 2. The attempt at a solution I just cross-multiplied how I was shown in class...
  49. N

    Finding |<+y|-θ>|^2 in terms of θ

    Homework Statement What is the probability that an electron emerging from the plus channel of the first device will end up in the minus channel of the second device? Express your answer in terms of θ. (Refer to the attached image) Homework Equations This uses the outcome probability rule that...
  50. C

    Numerical solution of a differential equation with time dependent terms

    I am would like to solve this differential equation: Where http://ieeexplore.ieee.org.ezproxy.uniandes.edu.co:8080/ielx5/8/6493417/6409989/html/img/6409989-eqdisp-3-small.png Could you give me some practical ideas about the required software and methodology? Thank you very much
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