Parameters Definition and 534 Threads

  1. Y

    How to get the semiconductor alloys parameters?

    I'm working on some calculations on Al0.35Ga0.65As & In0.65Al0.45As. Someone can tell me where i can find the elastic/piezoelectric/dielectric constants for these rare alloys?? A database for them exist for us to search?? Thx...
  2. S

    Method of Variation of parameters

    Hi, When using the method of variation of parameters to solve something like; y'' + y' = 2^x I got the aux. equation: r^2 - r =0 which gives the roots r=0,1 How do I find the complementary equation yc?
  3. marcus

    Tighter bounds on cosmo parameters (Chandra Cluster Cosmology Project)

    http://arxiv.org/abs/0812.2720 Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints A.Vikhlinin, A.V.Kravtsov, R.A.Burenin, H.Ebeling, W.R.Forman, A.Hornstrup, C.Jones, S.S.Murray, D.Nagai, H.Quintana, A.Voevodkin ApJ, in press: Feb 10, 2009 issue (Submitted on 15 Dec...
  4. U

    Trying to use variation of parameters

    Consider, x' = x + 3y^3 y' = -3y I am trying to use the fundamental matrix, F(t), and 3y^3 as my g(t) in order to plug into the variation of parameters formula... Xp = F(t) * \integral{ F(t)^-1 * g(t) } , Am I going about this the wrong way? I am trying to get...
  5. D

    Effects of the Variation of the Parameters of the Standard Model

    Hi I know that our world is quite unstable and minor changes in these parameters could make the existence of life impossible. However, I am interested in what exactly is going to happen if we start to increase/decrease any of 30 parameters. It is interesting how well-tuned these parameters...
  6. A

    What is Variation of Parameters ?

    What is "Variation of Parameters"? Homework Statement None. General. Homework Equations I don't know. :( ? The Attempt at a Solution ? I am taking a class right now on engineering analysis (which I am finding it to be more like partial differential equations mixed with...
  7. S

    Calculating Electrical Parameters of Solenoid Coil for Spring Force

    I want to calculate the electrical parameters of solenoid coil of a valve for a given spring force. I know the force required to pull the solenoid plunger through a given distance against a spring, is there any formula to find out the required voltage, number of turns of coil winding & current .
  8. michael879

    Black Hole Parameters: Mass, Angular Momentum, Charge & More

    Ive taken a general relativity course and in it we learned about how black holes are characterized by the parameters of mass, angular momentum, and charge. I have some questions about other parameters though. 1) Can a black hole have a vibrational parameter? This would really only be...
  9. A

    Superposition and variation of parameters

    Homework Statement y''+2y'+y = 4t^2 - 3 + (e^-t)/t of course i evaluated the general soltuion to be c1e^-1t + c2te^-1t but now how do you do the right part? i tried y=At^2+Bt+c+1/(Dt+E)*e^-t as a solution but after differentiating it twice and putting it into the eqaution i got...
  10. X

    Variation of Parameters Question

    Question is attached as Clipboard01.jpg I have tried the use Variation of Parameters to solve this question, but I kept getting wrong answer. This is What I get y=(2e^x)(Cos(e^x))+0.5(e^(-x))Cos(e^(-x))-2Sin(e^(-x)) This is the right answer: y=-Sin(e^(-x))-(e^x)Cos(e^(-x)) Procedure is...
  11. F

    What parameters determine the volume and depth of the cavity?

    cavity on a water surface A vertical air jet from a straw produces a cavity on a water surface. What parameters determine the volume and depth of the cavity?
  12. H

    Comsol multiphysics; fzero and inline function with many parameters

    Hi I'm trying to get comsol multiphysics to first define an inline function with 1 variable and 4 parameters, and then run fzero on that same function. I can do it with two parameters, but no moore. This works: clear myfun=inline('exp(y).*cos(x)+z', 'x', 'y', 'z'); x1 =...
  13. H

    Determining the Mass of Jupiter Using Io's Orbital Parameters

    Homework Statement Io, a satellite of Jupiter has an orbital period of 1.77 days and an orbital radius of 4.22 x 10^5 km. From this Data determine the mass of Jupiter Homework Equations 4pie^2/GM Kepler's Third Law The Attempt at a Solution I keep getting turned around. I know the...
  14. N

    Differential Equations - Variation of Parameters problem

    As the name suggest, this problem is an undetermined coefficients problems where variation of parameters is necessary to solve. As with my previous question; This is not a homework problem, but it is out of the textbook so I figured this would be the appropriate place to ask if I am doing it...
  15. G

    What is A(2)x in the given system of equations?

    Homework Statement Decide c, so that A(2)X=b(c) where x=(x,y,z) and b(c)=(1,c,1) A(2) is calculated from the previous problem: "Decide the value on the parameter b so that the following system has solutions (2, 1,-1,b 1, 2, 2, 2b 1,-1,-3, b+1) Homework Equations The...
  16. T

    Estimation of parameters using maximum likelihood method

    Homework Statement Let's have random value X defined by its density function: f(x; \beta) = \beta^2x \mbox{e}^{-\beta x} where \beta > 0 for x > 0 and f(x) = 0 otherwise. Expected value of X is EX = \frac{2}{\beta} and variance is \mbox{var } X = \frac{2}{\beta^2}. Next...
  17. B

    Can You Help Me Solve This Non-Elementary Differential Equation?

    Homework Statement 2y\prime\prime +2y\prime + y = 4 \sqrt{x}The Attempt at a Solution charecteristic equation: x^2+x+\frac{1}{2} roots: \frac{1}{2}\pm\frac{1}{2}i homogenous solution: a \sin{\frac{1}{2}x} + b \cos{\frac{1}{2}x} Wronskian...
  18. T

    Probability of a given data set given the parameters

    Why do we look at the probability of a given data set given the parameters, as opposed to the probability of the parameters given the data set? So y(x) = y(x;a_{1} \ldots a_{M})
  19. T

    How do you calculate the lattice parameters c and a of Hexagonal ZnO

    How do you calculate lattice parameters c and a of Hexagonal ZnO ? if you are given the wavelength= 1.5406 nm, diffraction angle= 48 and the miller indexes (102)
  20. N

    Mathematica Mathematica, fitting an arbitrary number of parameters

    Let's say I have some data, as a function of a variable x. I want to fit this to the real part of the function \frac{A}{1-ix}\left(1+\sum_{n=1}^\infty\frac{c_n}{(1-ix)^n}\right) by numerically fitting the first N of the c_n's (A is fixed). I tried something like A = 1; N = 100; fit...
  21. J

    Estimating parameters from multivariate normal

    I need to estimate parameters from data that follow a mutinormal distribution. The parameters that I need to estimate are contained in the expression for the mean of the marginal normal distributions. That is each marginal distribution has mean: \frac{p_1*c_i + p_1*y}{p_1+p_2} where...
  22. H

    How Do You Solve a Fourth Order Differential Equation with Sinusoidal Forcing?

    [SOLVED] Variation of Parameters Homework Statement y^(4)-6y^(3)=-5sinx The Attempt at a Solution I factored this at x^3(x-6)=0 so my r values are 0,6 also using for y(p) Dcosx + Esinx y=Ae^0 + Be^6x + Dcosx + Esinx ? y' =6Be^6x -Dsinx + Ecosx y'' =36Be^6x-Dcosx - Esinx...
  23. Saladsamurai

    Variation of Parameters on a system of Differential Eqs (Simple question)

    Homework Statement Okay so when solving a system of D.E.s using Variation of Parameters I know that first I find the complementary solution Xc and then do a bunch a of crap after that using the fundamental matrix. Now I just came across a problem with repeated roots, so I just want to...
  24. Saladsamurai

    Variation of Parameters (Integral Trouble)

    So I pretty much have this Differential Equation solved except that I have to integrate the expression \int \Phi(t)F(t)dt it has a star next to it in my attached work. Does this look readily integrable to anyone? For some reason nothing is ringing a bell. I suppose I could go by parts, but...
  25. P

    What Are Realistic Parameters for an Elevator Model?

    I am doing a controls project in which I will try to control the speed of an elevator using a simplified model. The model is simply a motor connected to a pulley which moves the car up and down through a cable. The only difficulty I am having is estimating realistic parameters for the model. For...
  26. Y

    Designing Fans: Fluid Mechanics & Optimal Parameters

    Does anyone know about the parameters that affect the design of fan? For example, is there an optimum number of blades, or optimum curvature and shape for the blade? I suppose this has to do with fluid mechanics (which I know nuts)? Which particular equations am I looking for? Is there any book...
  27. C

    How to Obtain Fundamental Solutions for Non-Constant Coefficient Equations?

    Solve by method of variation of parameters (x^2)y'' - (4x)y' + 6y = x^4*sinx (x > 0) Hey, I know how to solve problems using variation of parameters but only when the corresponding homogenous equation has constant coefficients... y'' - (4/x)y' + (6/x^2)y = 0.. the bit I am confused about...
  28. K

    How many parameters are needed to fix the scale factor?

    Never mind! I realized the answer to my question. Consider solving Einstein's equations in a FLRW universe and assume that there is no other force acting on matter/energy beside gravity. Let's say I want to find the full time evolution of the scale factor a(t) (and knowing...
  29. K

    Variation of parameters for higher order linear eq

    Homework Statement Use the method of variation of parameters to determine the general solution of the given differential equation: y^(4) + 2y'' + y = sin(t) Homework Equations characteristic equation is factored down to (r^2 + 1)^2, so r = +/- i. this gives the general solution to be...
  30. S

    Why can't i sent parameters to an IDC(I.D. Control)

    Why can't i send parameters to an IDC(I.D. Control) I'm programming a MFC project in C++ using Visual Studio. I'm trying to send 2 parameters through an IDC, so the values of these variables can past through other methods, but i keep getting an error message:error C2440: 'static_cast' : cannot...
  31. Garth

    WMAP 2006 - Mainstream model parameters

    WMAP2006: Cosmological Parameters and Large-scale Structure of the Universe So that makes \Omega_{Total} = 1.014 - a just closed universe with spherical spatial geometry. You can get the range of best fit values from Table 3 of that paper, they do not seem to include the flat space model...
  32. H

    Real parameters for waves described by nonlinear Schrondinger equation

    Hi all. I know that KdV and NLS can be used to model quite a few problems. What I am interested in is in the water wave context. I know roughly how to solve NLS analytically and numerically, but I am just curious in real world, what is the dimension of a real NLS soliton. Say, what is the...
  33. M

    How Can You Calculate Debye Equation Parameters for Curve Fitting?

    Hi, I need to calculate the parameters of the following equation: S = (a + ((b-a)/(1+((2*pi*x)^2*c^2)))) I have the measured data of S and need the parameters a,b and c to get a curve fit in the software for analysis. If someone can help me in this regard or suggest any software that...
  34. G

    Function to satisfy this integral for all parameters?

    I wonder: Is it possible to find a function f(x) which satisfies this integral for *arbitrary* parameters a,b (but maybe of known domain)? \int_{-\infty}^\infty e^{-x^2}f(ax+b)\mathrm{d}x=0 I want f(\pm\infty)=0 and I can deduce \int_{-\infty}^\infty x^n e^{-x^2}f^{(m)}(ax+b)\mathrm{d}x=0 It...
  35. S

    A restriction within Variation of Parameters

    Within the description for the variation of parameters procedure is the restriction: y1u1' + y2u2' = 0. Can you explain this restriction, it is not obvious to me, I do not have an explanation where this comes from. Is it related to u[ \frac {dy}{dx} + P(x)y] = 0 from solving first...
  36. S

    Undetermined coefficients vs. Variation of Parameters

    Greetings, Regarding the two procedures: undetermined coefficients and variation of parameters, can both procedures be used interchangeably - meaning they both solve (non-homogeneous linear equations)? Does one method work better in certain situations, if so which method is preferred when...
  37. B

    Fixing "Keyword parameters not allowed" Error in IDL Function

    Homework Statement I've created a function inside IDL and I want to be able to specify the binsize. That is, I want to have: result = myfunction(array, keyword) Whenever I add the keyword in the brackets there it says: "Keyword parameters not allowed in call." 2. Relevant code...
  38. D

    I am pissed And Variation of parameters. who, what, when, where, why?

    Well, i really i am pissed at the moment because of this. I have been trying to figure out if there is a proof/justifaction for the method of variation of parameters and have had absolutly no luck. I have searched the internet and almost every differential equation books in my university library...
  39. arivero

    Decay Rates: An Analysis of Dimensional Parameters and Extended Objects

    In our exchange previous to my guest post, Dorigo suggested me to speak of decay rates, but I did not take the courage to extend about this topic. Still, it is an interesting one for a whole thread here, and see what are the ideas of the people of PF. to start with, I think some dimensional...
  40. J

    Calculating a Spy Satellite's Orbit Parameters

    Homework Statement A spy satellite is in circular orbit around Earth. It makes one revolution in 6.00 hours. (a) How high above Earth's surface is the satellite? ________ km (b) What is the satellite's acceleration? ________ m/s2 Homework Equations GMm/r^2 = m(v^2/r) The...
  41. S

    Finding best fit distribution and its Parameters

    Thanks to EnumaElish for helping me in Normalizing the histograms. I now want to find the best fit distribution and what will be the parameters for that distribution. I tried lograthmic but it goes in negative and also is not much fit (the new plots are attached). If I use poisson what will be...
  42. K

    How can I determine the correct solutions for a variation of parameters problem?

    Homework Statement x^2y''-2xy'+2y=x^3cosx Find a general solution by using variation of parameters 2. The attempt at a solution I already solved this one, but I have 4 questions: 1. I found the solutions x and x^2 to the homogeneous equation by inspection. Is this the only way to...
  43. S

    Understanding N-Port Parameters for Microwave Networks

    In my previous classes we did just a bit of 2 port stuff. Where you shorted one port and then you just divided port 1's current by port 1's voltage and bam. Now we're starting to learn about n port microwave networks, and I really want to know what's going on. This post will probably be...
  44. P

    Fortran Fortran 90/95 : passing parameters to functions

    Hello, I have the following doubt, maybe someone can help me with this. Suppose I have a general purpose routine that finds the zero of a function f(x), something like subroutine fzero( func, x1, x2, xzero ) implicit none real, intent(in) :: x1, x2 ! Upper and lower bounds where the...
  45. S

    Sketch of curves defined by parameters

    silly question. didnt know where it was meant to go so i just put it here as safest option:) suppose a curve C is defined by, r(t) = (sint, cost) with 0 \leq t \leq 2\pi if a sketch of C was required then would you simply just draw the graphs for sint and cost?
  46. I

    Solving Differential Equations with Variation of Parameters

    Homework Statement Given that y=x^2 is a solution to the differential equation: (x^2)y'' + 2xy' - 6y = 0 <--- Eq.(1) find the general solution of the differential equation (x^2)y'' + 2xy' - 6y = 10(x^7) + 15(x^2) <--- Eq.(2) Hence write...
  47. A

    Slow Roll Parameters: Deriving and Computing

    Not sure if this is a diff geom. question or more appropriate for the strings forum or even relativity or cosmology. I'm doing work involved in inflationary models for compact spaces and the two important quantities are the slow roll parameters \epsilon and \eta. Previously I've been using...
  48. M

    Exploring CoIr Alloys: Crystal Structures & Lattice Parameters

    I am looking for informations about CoIr alloys. Who can tell me about crystal structure, lattice parameters of CoIr alloy? Please share me some references about this material. Thanks! :!)
  49. W

    Can Four Parameters Really Model an Elephant?

    There is a famous saying in physics: "With four parameters I can fit an elephant and with five I can make him wiggle his trunk." Firstly, does anyone know who definitely said it? Secondly, what exactly does it mean in Layman's terms? I have a rough idea, which goes as follows...
  50. daniel_i_l

    Linear Algebra: Identifying Parameters for Linear Dependence and Spanning

    I was doing some problems on linear dependence and spanning that had parameters and i wasn't sure how to tell if i got the full answers. Here're two of them: Homework Statement Q1: Find all values of m so that the vectors: {(1-m,2,7),(0,-2-m,12),(0,0,-m)} are linearly dependant. Q2...
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