Method Definition and 1000 Threads

  1. S

    Newton's Method utilizing Mathcad

    Homework Statement I am writing a simple program in Mathcad for Newton's Method. The function is x^3-5*x^2+3*x+4. The root is between 0 and 3, and we want a tolerance of 0.00001. My code is the exact same as a program I made in Matlab that works, but since I am new to Mathcad, I am getting an...
  2. L

    Node Method Problem: Identifying Errors

    Homework Statement Homework Equations V=IR The Attempt at a Solution I believe my a1 and a2 are correct. But my b1 is definitely wrong. Even if I carry out the above subtraction for the v1 part (which gives you b1) I will not have somethign as simple as R2 + R3 on the numerator [/B]...
  3. M

    Complicated Integral Using the Substitution Method

    Homework Statement Evaluate the following integral using a change of variables: \int\frac{dx}{\sqrt{1-\sin^4{x}}} Homework Equations If f(x)=g(u(x))u'(x) and \int g(x)dx = G(x) +C then \int f(x)dx = G(u(x))+C The Attempt at a Solution It seems helpful to first simplify a little to obtain...
  4. J

    Portal (Approximate) Method of Analysis: Superposition

    Homework Statement For the portal frame geometry and factored loading shown in the figure below, calculate the shear force, axial load and bending moment diagrams using the Portal Frame Method. You may use the principle of superposition for gravity and lateral load effects. Note: • all...
  5. S

    MATLAB Script for Bisection Method

    Homework Statement Not really for homework, but it is a script I am working on. It involves utilizing the Bisection Method for solving equations in one variable. However, I cannot seem to get it to work properly. It seems to enter the while loop and become stuck their. When I execute it by...
  6. binbagsss

    Method of characteristics. pde. limits of integral question

    I'm using the method of characteristics to solve a pde of the from ## au_{x}+bu_{y}=c## where ## a=\frac{dx}{d \tau} , b= a=\frac{dy}{d \tau}, c=a=\frac{du}{d \tau}## where initial data is parameterised by ##s## and initial curve given by ##x( \tau)=x_{0}(s)##, ##y( \tau)=y_{0}(s)## and ##u(...
  7. K

    Vortex Lattice Method: Find Airfoil Equation for Designing

    Hello! I have some queries regarding Vortex Lattice Method. I want to design an airfoil using Vortex Lattice Method. For that, I need to find out the equation of airfoil first. So how exactly am I going to do that? Please refer the following link...
  8. ELB27

    Legality and Generality of a Simplifying Method

    I have a question regarding the legality and generality of the following method for simplifying a vector expression. The specific expression that arose my question is ##\left[\left(\vec{P}\cdot\hat{r}\right)\left(\hat{r}\times\vec{M}\right) +...
  9. binbagsss

    Method of Characteristics, PDE, Jacobian condition Q

    Hi, I'm looking at the Jacobian condition which is ## J= a \frac{dy_{0}}{ds}-b\frac{dx_0}{ds}## where the pde takes the form ##c= a\frac{\partial u}{\partial x} + b \frac{\partial u}{\partial y} ##, where ##a=\frac{\partial x}{\partial \tau } ##, ##b=\frac{\partial y}{\partial \tau }##...
  10. ltkach2015

    Alternative Vector Method to Finding Angles of Vertices of Triangle?

    NOTE: I know the solution, but I challenge it. Specifically, I feel that the generally accepted solution to this problem is not intuitive. I have shown the accepted solution, and below that I have shown what I feel seems more intuitive (from a geometric standpoint)...
  11. P

    Alpha Particle Spectroscopy - Is My Method Correct?

    Homework Statement Hey, first time poster here, I'm current writing up a lab report I just wanted to check my method is correct. I'm doing alpha particle spectroscopy using a cloud chamber setup. Most published reports seem to vary pressure (so the mass thickness varies). Our chamber let us...
  12. S

    Solving an ODE using shooting method

    Hi, I am trying to solve the following ODE for my maths project: ## y'' = \frac{\alpha}{2}y^3 - \frac{3}{2}y^2 + y - \frac{3}{x} y'## under the following boundary conditions: ## y'(0) = 0 ## ## y(x) \rightarrow y \_ \equiv 0\ \text{as}\ x \rightarrow \infty ## As a first step, I converted...
  13. R

    Ground state energy from the variational method

    Homework Statement Consider a one-dimentional particle in a box with infinite potential walls at x=0 and x=L. Employ the variational method with the trial wave function ΨT(x) = sin(ax+b) and variational parameters a,b>0 to estimate the ground state energy by minimising the expression E_{T}=...
  14. Maged Saeed

    Initial guess in Newton's method

    How to find the Initial guess for Newton method with high accuracy ?? Is there a way rather than using mean value theorem [which is used to test whether there is a solution on a closed interval to the equation] ?
  15. PcumP_Ravenclaw

    Understanding Cardano's method of solving Cubic equation

    Dear All, I am trying to understanding Cardano's method to solve the cubic equation. Please first see the reference text that is attached (Alan F. Beardon, Algebra and Geometry). My rough understanding is that we make 2 substitutions (## P1(z - a/3)## and ##P(z - b/z) ## ) to...
  16. A

    Explain this method for integrals (complex analysis)

    I saw this method of calculating: $$I = \int_{0}^{1} \log^2(1-x)\log^2(x) dx$$ http://math.stackexchange.com/questions/959701/evaluate-int1-0-log21-x-log2x-dx Can you take a look at M.N.C.E.'s method? I don't understand a few things. Somehow he makes the relation...
  17. N

    Calculating Neutron Flux using SN Method

    when we calculate the neutron flux in finite medium using sn method for steady state neutron transport equation, it gives us some numbers up to 1. I am sure its not the real flux, can someone explain how we can calculte the real flux using sn method.
  18. dkotschessaa

    I need a better "method" for working out proofs and problems

    I will even take book recommendations, though I have read Polya's "how to solve it," and Vellemans similarly titled "How to Prove it." I think I am looking more for how to organize my thoughts, and much of this overlaps with "how to study," which, I am still trying to learn how to do. My...
  19. R

    Choosing the trial wavefunction (variational method)

    Homework Statement I'm going to list two questions as they offer the same problem with more choices, hopefully it will help realize the method (?) used (A) An electron, confined in the two dimensional region 0<x<L and 0<y<L with infinite potential walls, is subject to the potential...
  20. J

    What is the easiest method for adding and subtracting rational numbers

    What is the easiest method for adding and subtracting rational numbers
  21. Silicon Waffle

    C/C++ [C++] Similar method of bitconverter -- ToInt16

    In C#, byte[] tail={...} short reader = BitConverter.ToInt16(tail, 4); which is to convert 2 bytes 4 and 5 to a short value. I'd like to do this in C++ So I do char tail[]={...} short reader=toInt16(tail,4); ... short toInt16(char*tail,int index) { int n=index; int m=n+1; string...
  22. electronic engineer

    MATLAB Solving Partial Differential Equation using Crank-Nicolson Method in MATLAB

    Hello, i'm willling to solve partial differential equation of the form: dy/dt = d2y/dx2 + 2/x * dy/dx - 4y where d here means partial derivation of course. boundary conditions are: dy/dx(0,t) = 0, y(1,t) = 1, t>0 initial condition is: y(x,0) = 0; (x,y) is position and t is time. and...
  23. E

    Number of KCL and KVL equations for branch-current method

    Homework Statement Find ix and Valpha [/B] Homework Equations KCL KVL The Attempt at a Solution [/B]How do I determine the number of KCL and KVL equations? In this problem I am solving, there are 6 unknowns so I need 6 equations. I can write 4 independent KCL equations, 1 KVL at loop 1(to...
  24. E

    How Do You Calculate Member Forces Using the Unit Load Method?

    Hi I was hoping someone could clear something up for me, I've been set an virtual load (unit load method) question at University, that part of the question I can do however its the calculating the force on the members part that I am struggling with. The question asks for all the forces in the...
  25. M

    Use Euler's method with h=0.1 to find approximate values?

    Homework Statement Use Euler's method with h=0.1 to find approximate values of the solution of the initial-value problem y'+3y=7e^(4x), y(0)=2 at x=0, 0.1, 0.2, 0.3, ..., 1.0. Homework Equations f(x, y)=7e^(4x)-3y x0=0, y0=2 The Attempt at a Solution y(0.1)=y1=y0+f(0, 2)(0.1)=2+(0,1)f(0...
  26. M

    Euler's method for a mass sliding down a frictionless curve

    Homework Statement Consider a mass sliding down a frictionless curve in the shape of a quarter circle of radius 2.00 m as in the diagram. Assume it starts from rest. Use Euler’s method to approximate both the time it takes to reach the bottom of the curve and its speed at the bottom. Hint...
  27. DivergentSpectrum

    General method of parameterization

    is there a general formula/algorithm to parameterize an equation? for example if i have a function f(x,y)=0 then can i always change it to the form x(t),y(t)? or if i had g(x,y,z)=0 then can i change it to something like x(u,v),y(u,v),z(u,v) i know of examples, like if i have x^2+y^2=1 then...
  28. SalfordPhysics

    FORTRN90: Euler Midpoint Method for SHO

    Homework Statement Write a program to simulate motion of simple harmonic oscillator. Initial conditions: Let ω = 1, x(t=0) = 1, v(t=0) = 0. Integrate over 30 seconds in intervals of 0.05s. Homework Equations δ2x / δt2 = -ω2x As set of 2 coupled ODE's; x' = v, v' = -w2x The...
  29. PcumP_Ravenclaw

    Understanding the method to solve the cubic equation

    Dear All, I am trying to understanding Cardano's method to solve the cubic equation. The reference text is attached (Alan F. Beardon, Algebra and Geometry). My rough understanding is that we make 2 substitutions (## P1(z - a/3) and P(z - b/z) ## ) to simplify the cubic equation...
  30. samgrace

    How Can You Solve a Complex Numerical Integration Problem on Paper?

    Homework Statement Integreate: ##T = ∫ \frac{dy}{V_ab (y)} = \frac{2}{v}∫[1 + \frac{\alpha^2 y}{L} + 2\alpha \sqrt\frac{y}{L} cos(\phi(y))]^\frac{-1}{2} dy## where ## \phi (y) = \frac{\pi}{6} + sin^-1(\frac{\alpha\sqrt{y}}{2\sqrt{L}}) ## The limits are between 0 and L Homework EquationsThe...
  31. G

    Method for deduce Schrödinger Equation

    Is there any method for deduce Schrödinger equation from quantization of action??
  32. kelvin490

    Question about substitution method in integration

    It is common that we replace \int u(x)v'(x)dx by \int udv where both u and v are continuous functions of x. My question is, must we ensure that u can be written as a function of v before applying this? The above substitution method is involved in the proof of integration by parts but I cannot...
  33. S

    Numerical method for wave equation

    Hi, I am trying to plot a function subjected to a nonlinear wave equation. One of the method I found for solving the nonlinear schrodinger equation is the split step Fourier method. However I noticed that this method only works for a specific form of PDE where the equation has an analytic...
  34. 5

    Implicit Euler's Method Application

    Homework Statement dx/dt= -x2-2x(1+t+t2) x(1)=2 estimate x(1.2) with h=0.2 Homework Equations Implicit Euler: I was taught that we must solve for yk+1 using Newton's method: This doesn't seem like it will work because Newton's method assumes a function of only one variable. According to...
  35. J

    Can the energy method for this system be represented in a matrix form?

    Hi, Can somebody tell me if my kinetic energy (T) and potential energy of spring (V) for this system in matrix form is correct or wrong, m1= 2, k1 =5, m2 = m2, k2 = k2 T = 1/2 (2* q1'^2+ m2* q2'^2) so in matrix form it was 1/2(q'^T) (2 0 *( q')...
  36. T

    Vibrations - Rayleigh-Ritz Method Admissible Functions

    Hi everyone, I'm having a bit of difficulty choosing an admissible function for a fixed-fixed nonuniform bar. I chose the function φ(x) = 1 - cos(2πx/L). But when solving for the the stiffness and mass coefficients: kij = ∫EA(x)φiφjdx mij = ∫ρ(x)φiφjdx, I am not sure where I should have...
  37. R

    Question about the best method to use for finding wavefunctions and eigenvalues

    We have been covering the annhilation and creation operators in class. You can use the annihilation operator to find the groundstate wavefunction, and then use the hamiltonian in terms of annhiliation and creation operators to find the energy eigen value of that state. (or you could put the...
  38. S

    Frobenius method for Hermite Equation

    Homework Statement I'm asked to solve the Hermite Differential Equation y''(x) - 2 x y'(x) + \lambda y(x) = 0 using the Frobenius method 2. Homework Equations I am to assume the solution is in the form y(x) = \sum a_n x^{n+r} where r are the roots of the indicial equation that in this...
  39. DOTDO

    By what method did Einstein derived his gravitational field equation?

    Hi. In class, the professor has tried to derive the equation by using the principle of least-action. (But not yet completed. Maybe next class...) However I heard this method is used by Hilbert, who had derived the equation 5 days before Einstein derived it. Then, what method did Einstein use...
  40. 5

    How Does Including the Quadratic Term Affect the Newton Iteration Formula?

    Homework Statement The Newton iteration formula is based on a Taylor series expansion of the function f(x) around an estimate of the root xn, truncated after the linear term. You are asked to derive a more accurate iteration scheme as follows: Start from the Taylor series expansion of f(x)...
  41. N

    Graphical method to calculate power

    Homework Statement I have been asked to show a graphical, more accurate method to calculate power used when running up a flight of stairs. The method I have used previously is measuring the height of the stairs, recording my weight in Newtons, timing how long it takes to run from the bottom to...
  42. Y

    Using Method of Imaging for two point charges between Parallel Plate Capacitors

    Homework Statement Use either image charge method of separation of variables to solve: The distance between two large, grounded parallel conducting plates is 4x. Between them, two point charges +Q and -Q are inserted and have a distance x and 3x from one of the plates. (A line connecting the...
  43. Y

    Projectile Motion: Method of finding initial velocity in a lab

    Homework Statement Determine the exit speed(initial velocity) of a marble exiting a launcher shot from a table. The height of the table, distance of the x component and the time can be measured. t=? Vi=? Vix=? Homework Equations d= vi * t + 0.5*g*t^2 Vi^2=Vix^2*Viy*2 The Attempt at a Solution I...
  44. M

    Negative Gradient and Gradient Descent Method

    What is "Negative Gradient" ? and what is "Gradient Descent Method" ? What is the difference and relationship between them ? What is the benefit each of them ?
  45. Y

    Solution to Image Charge Method for Two Point Charges

    Homework Statement Two point charges of equal value are placed a distance 2b from one another. In the middle, there is a grounded conducting sphere. What is the minimum radius of the sphere required to cancel out the repelling force between the two charges? (Solve using Image Charge Method)...
  46. diegzumillo

    Inverse of method of image charges

    Hi all What if instead of charges and a surface, we were given a set of charges and image charges and have to find the surface, how would you do that? This is actually part of my homework but I'm pretty sure he doesn't want us to prove it mathematically (the case is obviously a sphere) so I...
  47. R

    Question about when to use the Variational Method

    Here is the question: We are not given the wavefunction so in this instance would I use the variational method? i.e. should I guess the wavefunction and apply: E_{guess} = \frac{< \Psi_{guess} \mid H \mid \Psi_{guess} > }{< \Psi_{guess} \mid \Psi_{guess} >} I am really unsure about how to...
  48. C

    Use the Node Voltage method to solve

    Homework Statement From the above circuit find VCB and VDG Know Data: VE = 0 (ground) Homework Equations KCL and Ohm's Law are used in Node Voltage Method. The Attempt at a Solution I decided I would determine the node voltages then work out VCB and VDG afterwards. 1. KCL and Ohm's law at...
  49. M

    Use Euler's method with h=0.05 to find approximate values?

    Homework Statement Use Euler's method with h=0.05 to find approximate values for the solution of the initial-value problem y'=2x^2+3y^2-2, y(2)=1 at x=0.1, 0.2, 0.3. Homework Equations None. The Attempt at a Solution Here's my work: y'=2x^2+3y^2-2, y(2)=1 f(x, y)=2x^2+3y^2-2, x0=2, y0=1...
  50. T

    Another method to silence viruses .

    medicalxpress.com/news/2014-11-scientists-mechanism-spontaneous-hiv.html Sorry, if it's in the wrong forum, is this method feasible?. I know in the genetic code, there are many stretches that resemble virus code(apparently silenced) , it's quite interesting they are using that as a starting...
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