Method Definition and 1000 Threads

Hello, I am using the x squared minimization method to compute two parametres in a function let's say (A,B) which correspondes to the minimum value of x^2. Now if i want to make a contour plot of A,B (A=x axis and B=y axis) for the values of x^2-x^2_(minimum)=1σ=2.3 what is the proper way...

The question is : A cable of circular cross-section and diameter 2 cm has a long cylindrical hole of diameter 1 mm drilled in it parallel to the cable axis. The distance between the axis of the hole and the cable is 5 mm. If the cable has a uniform steady current density of J=10 5 Am-2...

I'm creating a computer implementation to solve planar trusses. And I'm not sure how to check if the truss is solvable or not. Can you help me with that? In my implementation, the trusses are created randomly (needs to be this way), so i get a lot of unstable or indeterminate trusses. I want...

Hello all, I'm trying to write a bit of Matlab to solve the Blasius Equation f*f'' + f''' = 0, where at eta = 0, f' = 0, and at eta = infinity, f' = 1. What I have so far is below...I'm a bit rusty. Two specific questions: 1. I'm trying to drive y2 to the b.c. of 1, however my loop...

Hello, I've been trying to learn physics recently with the long term goal of understanding GR and cosmology. As a result, I have many questions, so I'll just get started.. In the famous double slit experiment, there is a coherent light source aimed at a double slit which produces an...

Hi All, I am trying to make a system which supplies a large burst mode AC signal to a piezo and then short circuits the terminals once the burst is over( here in the literature). The system has a Function Generator attached to a High Power amplifier which is attached to the leads of the...

Homework Statement Hi, I'm trying to understand how you solve for the problem lim [(2+h)^5 -2^5]/h as h→0 I already have the solution, but I want to make sure my understanding of how it's done is correct. Homework Equations I'm suppose to be using the definition of the derivative...

Homework Statement Using Washer Method: Revolve region R bounded by y=x^2 and y=x^.5 about y=-3 Homework Equations V= integral of A(x) from a to b with respect to a variable "x" A(x)=pi*radius^2 The Attempt at a Solution pi(integral of (x^.5-3)^2 -(x^2)^2-3) from 0 to 1 with...

What are the advantages and disadvantages of both AEM and FEM and which on is easier. I am doing a project and I should use one of these two methods to solve for a truss system. P.S. computer programming shall be used. In the end which method is better for this case?

I'm watching a lecture on Newton's method with n-dimensions but I am kind of hung up on why the professor did not use the negative sign while taking the first gradient? Is there a rule that explains this or something that I'm forgetting? The rest makes sense but highlighted in red is the part I...

Here are the questions: I have posted a link there to this thread so the OP can view my work.

I'm watching a lecture on Newton's method with n-dimensions but I am kind of hung up on why the professor did not use the negative sign while taking the first gradient? Is there a rule that explains this or something that I'm forgetting? The rest makes sense but highlighted in red is the part I...

Homework Statement I want to calculate the horizontal deflections at joints A and F (using Virtual Work method taught in Structural Engineering). Cross-Sectional Area (A) and E values are provided in the problem, and the attachment has all relevant dimensions and applied loads.Homework...

Homework Statement Ok, so I'm trying to fit a set of data (21000 points to be exact) to a sine function. Homework Equations Y = A*sin(ωt) The Attempt at a Solution I used NumPy to get the parameters A and ω with the least squares method. So far, so good. However, i appear to...

Hello everyone, this is my first thread in this comunity. I explain my problem: I have a triangle mesh http://en.wikipedia.org/wiki/Triangle_mesh where at every vertex coincide a mass element and on every edge I add a spring. I would like simulate a deformation model. My idea derive...

How to find the Glebsch Gordan coefficients by matrix form. Let's suppose we have a two spin 1/2 particles, we get that (check attachment 1). These are the corresponding coefficients the classic way. Now if I want find them the matrix way, where the matrix should be diagonalized. How do I...

Hi, Can someone suggest a way to improve the lower rectangle method for area approximation...? I know one way is to increase the number of rectangles so if I put 100 instead of 5 rectangles i will get a better approximation. Another way it could be improved...?

Homework Statement Finding error in kinetic energyHomework Equations K = \frac{1}{2} m v2The Attempt at a Solution Measured mass and velocities have errors in them. So we have to use derivative method to calculate uncertainty in KE which is to find the square root of the derivatives of K...

Homework Statement I wish to determine whether a SINGLE instrument provides reliable measures (test-retest reliability). This single instrument is not random (it's the only one available), and I will take 10 measurements for each individual that is part of a control group (and then again for...

Hello everyone I am doing my own split step Fourier method (SSFM)code on Matlab to solve the Nonlinear schrodinger equation in nonlinear fiber optics My problem is that in the Nonlinear operator we just multiply it with the initial pulse during SSFM without doing any Fourier transform not...

Hi I have discovered that the Von Neumann bias correction method only works when the bias is 100% stable, for example tossing the same loaded coin again and again. Does anyone know of a bias correction method which can correct an unstable bias? Is this impossible? Edit: Let's say I have a...

Hello, I would like find a way to figure out how many unique collision there are between 2 equally subdivided ellipsoids (velocity=1). When you have 2 ellipsoids and you let them collide than you have an infinite amount of possible outcomes. The goal is to reduce this infinite number to...

∑Homework Statement Use the method of Frobenius, constructing a power series about x = 0, to find the general solution of this equation (retain terms up to and including those in square brackets): 4xy'' + 2y' + y = 0 [x7/2] Note: the solution can be written in closed form, can you...

Homework Statement Use the componant method to determine the total displacement given by the two vectors shown in each diagram. Homework Equations The Attempt at a Solution I thought I just had to find the third unknown side, and use the pythagorean theorem, but I was...

Homework Statement A mass of 100 kg is suspended by two ropes that make an angle of 60 degrees to the horizontal. If a horizontal pull of 200N, in a plane perpendicular to the plane of the other forces is applied find the tensions in the ropes after equilibrium has occurred. Homework...

The typical way to evaluate $ \displaystyle \int_{0}^{\infty} \frac{\cos mx}{a^{2}+x^{2}} \ dx$ is by contour integration. In a recent thread I evaluated that integral using the Laplace transform. http://mathhelpboards.com/analysis-50/advanced-integration-problem-9129.html#post42551My...

Homework Statement Hi, I am having trouble with the following problem and I can't seem to find any examples: I am trying to determine reactions at points A and D of the redundant structure below using the unit load method, there is a 10kN load at the top left point (B), all lengths are...

Homework Statement Use the node-voltage method to find i_0 in the figure (Figure 1) if v = 29.0V. Homework Equations G = 1/R \sumG connected to node 1 * v_1 - \sumG between node 1 and 2 * v_2 = Current source into node 1 \sumG connected to node 2 * v_2 - \sumG between node 1...

Homework Statement Solve the following system for 0<t<5 u^\prime = u-e^{-2t} v, u(0) = 1 v^\prime = u+3v, v(0) = -2 using Forward Euler method and implement the numerical scheme into a MATLAB code. Homework Equations Forward Euler : \vec x^(\prime)_{n+1} = \vec F(t,\vec x)...

Homework Statement Three people work independently at deciphering a message sent in code. the respective probabilities are persion a: 1/6 person b: 1/8 person c: 2/7 what is the probability that the message will be decoded Homework Equations (A or B ) = Pr(A) + Pr(b) - Pr(A...

So here's the deal. I'm a human factors major and because I had a single stats class I am required to have a statistical analysis in my thesis. With that said it was a few years ago and wasn't my strong suit anyway. Here is what I am trying to do. I have taken noise samples from three vehicles...

Hello, i'm having some trouble identifying the correct method to approach a problem. I don't have any working to show, so i'll explain why I think the methods I've considered are not correct. Homework Statement Integrate with respect to x the following functions. \int...

Hello! (Wave) I have a question. Given the equation $t(x)=x^{2}-3x-4=0$ which roots are $-1$ and $4$ , we are looking for a suitable iterative method $x_{n+1}=\varphi(x_{n}),n=0,1,2$ so that the sequence $(x_{n})$ converges to the root $4 \forall x_{0} \in [3,5] $.Which of the following would...

Homework Statement Hello, I am working on a problem involves my using the Euler Method to approximate the differential equation \displaystyle \frac{df}{dt} = af(t) - b[f(t)]^2, both when b=0 and when b is not zero; and I am to compare the analytic solution to the approximate solution when b=0...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Hey! :o I have a implicit finite difference method for the wave equation. At step 0, we set: $W_j^0=v(x_j), j=0,...,J$ At the step 1, we set: $W_j^1=v(x_j)+Dtu(x_j)+\frac{Dt^2}{2}(\frac{v(x_{j-1})-2v(x_j)+v(x_{j+1})}{h^2}+f(x_j,0)), j=0,...,J$ Can that be that at the step 1 $j$ begins from...

Hey! :o Given the following two-point problem: $$-y''(x)+(by)'(x)=f(x), \forall x \in [0,1]$$ $$y(0)=0, y'(1)=my(1)$$ where $ b \in C^1([0,1];R), f \in C([0,1];R)$ and $ m \in R$ a constant. Give a finite element method for the construction of the approximation of the solution $y$ of the...

Suppose we have a compact Lie group ##G##, and a differentiable function ##f:G_0\to\mathbb{R}## from the identity component of ##G## to the real numbers. I'm looking to maximize the value of this function. Being something of a neophyte at optimization, especially of this kind, I decided to...

In a LPP all the constraints are given as 'less than equal to' type. But it was asked to solve the LPP by Charnes Big M method. Is the question wrong? According to me, we have to apply simplex method to solve it. There is no scope tp introduce M.

If you don't know anything about this please just read the first 20 lines on the below link and help me understand (I don't know anything either). The vapour liquid solid method: http://en.wikipedia.org/wiki/Vapor%E2%80%93liquid%E2%80%93solid_method uses a solid, liquid and gas phase to grow...

Homework Statement Find the moment of inertia of a hollow sphere about a vertical axis through its center in terms of its mass M and radius R. Homework Equations I=\int r^{2} dm The Attempt at a Solution I've been curious about different methods for finding moments of inertia...

I don't know what is the principle of Fizeau's method. In the experiment a rotating toothed wheel is used.But why the toothed wheel is used? If the toothed wheel is not used,why the time for the light traveled cannot be measured?

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.. $$y = -x^2 + 6x - 8, y = 0$$ so I got -8 to 0 for the integral by plotting the graph... How are they getting 2 to 4? You can't solve that by factoring? And when i...

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x axis...$$y = x^3$$ , $$y = 8$$ and $$x = 0$$ So my question is: Why did they cube root the y (to be more technical why did they put it in terms of x? I...

Hey! :o I am implementing in a program the finite difference method for the heat equation. The problem is the following: $$u_t(x,t)=(g(x,t)u_x(x,t))_x+f(x,t), \forall (x,t) \in [0,1]x[0,1]$$ $$u(0,t)=u(1,t)=0, \forall t \in [0,1]$$ $$u(x,0)=0, \forall x \in [0,1]$$ where $f(x,t)=\pi x...

This isn't a homework question per se. Am merely seeking an explanation how the method of characteristics may be applied to a second order PDE. For instance, how is it used to solve utt=uxx-2ut?

Hi, I'm doing a group investigation on external wall insulation for my school building. The walls do not have a cavity and thus it has been proposed to put insulation over the exterior render of the wall. This is a fairly common building procedure. However, my task is to investigate the...

Hello All, Some of you may have heard of the freeware FEA program called FEMM written by David Meeker. It is used to simulate 2D electromagnetic geometries and also has an integrated LUA scripting host which allows script files to be written to automate the process. I'm currently using...

I want to solve the Schrodinger via the Numerov Method but I had some troubles. I'm programing in C++, so here is my code: #include<cstdlib> #include<iostream> #include<cmath> using namespace std; double x_min=-4.0 , x_max=4.0; int N=2000; double...

1) Problem Statement 2) Relevant Equations3) Attempt at Solution For question d, I realize in this case that the substance that is oxidized and reduced is the same molecule : iodine. How do I proceed then as the next step would ask for you to find the change in oxidation numbers and multiplying...