Method Definition and 1000 Threads

Hey guys, I have to make some graphs for an assignment and a friend told me it would be easiest with matlab. I need to make an x(k+1) vs. x(k) graph for Newton's method as well as the Chord method. I also need to make a few charts of the discrete logistic equation. Plotting functions isn't...

Homework Statement I'm in a Year 10 physics class. We have been asked, for homework, to design an experiment to measure the velocity of a standing wave. No other information has been given other than that. I reproduce the exact instructions we were given, since the guidelines suggest I...

Homework Statement show SOR iteration method converges for the system. $$6x+4y+2z=11$$ $$4x+7y+4z=3$$ $$2x+4y+5=-3$$ Homework Equations if the coeff. matrix is positive definite matrix and 0≤ω≤2. Then SOR converge for any initial guess. Or if $$ρ(T_{ω})$$≥|ω-1|, then SOR converge...

For possion equation $$u_{xx}+u_{yy}=f$$ I know the general five point scheme is in the form $$a_{1}U_{i,j-1}+a_{2}U_{i-1,j}+a_{3}U_{i,j}+a_{4}U_{i+1,j}+a_{5}U_{i,j+1}=f_{i,j}$$ But , is there have the form...

Hey all, I'm trying to understand the Capon Method for some reading into MIMO radar [1] and went to the original source [2] trying to wrap my head around the linear algebra involved. From [2], the Capon method is derived in Section 5.4.1, which refers to Result R35 in Appendix A. It is about...

Homework Statement Use the Euler method with h=0.05 to find approximate values of y'=3+t-y, y(0)=1 at t=0.1, 0.2, 0.3, and 0.4. Homework Equations I don't even know what formula and how to use it. The Attempt at a Solution The answers are 1.1975, 1.38549, 1.56491, 1.73658.

Homework Statement The short circuit time constant method for determining 3dB point for high pass filter says b1= the sum of short circuit time constant seen by each individual capacitor with the all other capacitor replaced by short circuit. b1 is also = the sum of pole1, pole2...

Hi. This is not actually not part of the homework; but it's something I'd like to do. I have to solve the following system using Newton-Raphson's method: $$\begin{matrix} \frac{X}{\mu }+Y=1 \\ X=\left( \lambda -\left( K-1 \right)X \right)Y \\ \end{matrix}$$ Surfing the...

Homework Statement Use Newtons method to compute the cube root of 5. Do the first 10 iterations. x_{(0)}=1 determine the fixed points of the iteration and determine whether they are repelling/attracting. if attracting, then determine if the convergence is linear or quadratic. draw the...

Homework Statement Solve x(1-x)\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}+2y=0 using the Frobenius Method. Homework Equations R(x)\frac{d^{2}y}{dx^{2}}+\frac{1}{x}P(x)\frac{dy}{dx}+\frac{1}{x^{2}}V(x)y=0 R_{0}s(s-1)+P_{0}s+V_{0}=0 y=\sum^{∞}_{m=0}a_{m}x^{m+s}...

Not sure how this can be done. can anyone help?

Hi everyone, I has been learning numerical method recently, i am very wonder how fixed point iteration method and Newton raphson method works (a more insight explanation rather than mathematical proof ) thanks!

Homework Statement dx/dt=x+y dy/dt=-y+8x Solve this system useing Eulers method or by elimination method. Homework Equations Eulers method I know that in general I should look for solution in form y=const*exp[kx] z=const2*exp[kx] But in my case I am not sure if i can write...

A uniform rod of 80 Newtons is suspended from the ceiling by strings attached to its ends. The rod is in equilibrium at an angle of 10 degrees to the horizontal, and the string attached to the higher end is at an angle of 40 degrees tohe vertical. Find the angle which the other string makes with...

Homework Statement "Use Excel to approximate dF/dt=-0.1F+70, F(0)=0 to generate approximations for F at t=1,2 and 4 using step size 0.1. Explain whether these approximation are greater than or less than the exact values. Determine whether the shape of the solution curve is increasing...

Hello, I was curious, for the method of joints truss analysis, when considering a joint, is it assumed that all forces at that joint are radiating away from the joint (meaning tension), even if it was already found from a previous joint that the member is acting in compression? I'm not sure if...

Say that I have 2x+2yz=0 2y+2xz=0 and 2z+2xy=0 how would I use matrix methods to solve this system of equations? I know you can just look at it and easily figure out what the critical points are but I want to do it the safe way. Or is using the matrix method not the easiest way here? For...

Homework Statement dy/dt = -4t+2 y(0) = 1 find y(1)=? Homework Equations The Attempt at a Solution so first i solve the diff equation: dy/dt = -4t + 2 dy=(-4t+2)dt ∫dy=∫(-4t+2)dt y(t) = -2t^(2)+2t+C y(0)=1 1=-2(0)^(2)+2(0)+C_1 1=C_1 y(t) = -2t^(2)+2t+1 now i solve...

Homework Statement This is from a study guide that I don't have the answers to just yet and I am trying to figure out this last problem for my OR class. I am either confused or the problem is written wrong. I am probably confused though. Any help would be great! This Tableau is for a...

how do i find the yk value?? the k, tk and mk values makes sense to me Problem #1: http://imageshack.us/photo/my-images/14/fe0x.jpg/ Solution manual: http://imageshack.us/photo/my-images/5/hu55.jpg/

Gauss method for electric field evaluation. please help! Hi ppl, I have a simple question of something that I didn't get. I guess something simple. Why in the case of Gauss solution for capacitance we add the electric field of one plate charged in positive to another charged in negative to...

Let g(x) be the right side of a heterogeneous ODE. Why do we take the derivative of g(x) when using the method of undetermined coefficients? This is to guess the form of the particular solution. The textbook says to assume the particular solutions includes both the terms of g(x) and their...

All- I'm trying to work through a problem in my head and am looking for a little guidance. I want to build a system that can be used to measure the volume of water inside a container of arbitrary size and shape. The application, in case you're curious, is the drinking water tanks of a...

Homework Statement The task is to find an analytic solution to the O.D.E 4(1-x^2)y''-y=0 \hspace{20mm} y'(1)=1 by using an appropriate series solution about x=1. The Attempt at a Solution The singularity at x=1 is regular, which makes me think the Frobenius method is what's meant by...

Homework Statement http://grephysics.net/ans/9277/70 I'm not interested in how you get the right answer, I'm really just curious if somebody could show me where my thought process was flawed. Total Energy = E = 100mc^2 Rest Energy = Mc^2 Total Energy = Kinetic Energy + Rest Energy...

Homework Statement Use the method of cylindrical shells to find the volume generated by rotation the region bounded by the given curves about the specified axis. Homework Equations y = x^2, y = 2-x^2; about x = 1 The Attempt at a Solution I tried to just break it down. I want...

I have a basic doubt on application of work energy method, 1. Can I apply work-energy method (i.e. work done equals to change in kinetic energy(KE)) for a body sliding down the inclined plane? If yes, while solving the problem i should use only change in KE or sum of change in KE &...

Homework Statement a^2 + 2^a = 100, where a is an integer, find a. Homework Equations all laws of indices and laws of log, I think The Attempt at a Solution By trial and error, answer can be easily determined, which is 6. However, I am unsure how to approach this problem with...

Chebyshev's method is a recursive algorithm for computing the $n$th multiple angle formula for the cosine function. If we define: $$T_{n}\equiv \cos(n\theta)$$ then the algorithm is given as: $$T_{n+1}=2xT_{n}-T_{n-1}$$ where: $$x=\cos(\theta)$$ a) Using trigonometric identities (or...

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

Homework Statement I have to prove that sin^2(a/2) = (1-cosa)/(2) cosa = cos(2*(a/2)) = 1 -2sin^2(a/2) I don't understand this step that was given in the solutions how do I get it?

Hello everyone Although I do not have a specific homework question to ask, I do have a question which directly relates to a topic I do indeed have for homework. One of our topics for the semester are approximating roots using Newton's method, and as I understand the value you one obtains...

Homework Statement Taking step size h = 0.2, use Euler’s Method to determine y(1.6), given that dy/dx = ln(2y+x) ; y(1)=1.2 Record your results to 5 decimal places at each step. Homework Equations N/A The Attempt at a Solution My question is to do with the method, not the...

I'm studying for the exam day after tommorow and while reading the practical on jaeger method I found the following... P1-P2=2T/ r r is the radius of the capillary tube ..... advantages of this method.., •contact angle is not needed •can find surface tension of liquids like mercury my...

Would it be possible to prove the collatz conjecture indirectly by demonstrating rules that apply to 'Collatz-like' conjectures? (I call anything where you simply change the values in the 3n+1 part of the conjecture to other values, holding everything else the same a Collatz-like conjecture)...

Hi! Could someone please explain the saddle point method i.e. the method of deepest descends to me in layman's terms? All I need is a rough idea of what it is. I've tried to read explanation from various sources but perhaps I have a hard time following the examples due to their mathematical...

0:30 "So if I have a magnetic field that's increasing increasing increasing" I'm probably taking this too literal, but the magnetic field coming from the neo magnet isn't increasing or decreasing. The gentleman is only moving the magnetic field (the magnet) in closer proximity to the coil, so...

I have been going over previous tests in an attempt to better prepare myself for the final that is coming tomorrow. I was posed a question. Use the shell method to find the volume of the solid generated by revolving the plane region about the given line. $$y = 4x - x^2$$ , y = 0, about the...

Homework Statement Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. Homework Equations ƩFx=0 ƩFy=0 ƩM=0 The Attempt at a Solution I got the forces at C and D by using the equilibrium...

Hi, This is a sample problem from logan finite element method. I have attached the problem and solution given in the book. As per the problem i first derived the stiffness matrix and den putting the boundary conditions started solving for the forces. I am stuck as three forces are unknown but...

So I'm trying to show that the estimators for the normal distribution by the method of moments are consistent. So to show consistency, I have to : 1) Show E(θ(estimator) = θ (parameter) 2) lim n-->∞ Var(θ(estimator) = 0 So Since there are two estimators in the normal distribution (...

Hello all I am working on this integral \[\int \frac{x^{2}+1}{x^{4}+1}dx\]Now, I have tried this way: \[u=x^{2}+1\] after I did: \[\int \frac{x^{2}+1}{\left ( x^{2}+1 \right )\left ( x^{2}-1 \right )}dx\] But I got stuck, I got: \[\frac{1}{2}\cdot \int \frac{1}{u\sqrt{u-1}}dx\] I thought...

Hello I need to solve \[\int \sqrt{x^{3}+4}\cdot x^{5}dx\] using the substitution method. I did \[u=x^{3}+4\] but I got stuck with it. thanks!

Dear, Can someone tell me with certainty if the truncation error of the general ADI method is of seconder order in time and space?

I'm a bit lost. I began by the cuts but then got lost: should I introduce the reactions like Ra when writing the equations? And about the force P I should introduce, should it be equal to Rc or Vc? If anyone could give me the proper plan on how to solve this problem I will be thankful. Thank you.

Mathematical method in electrical potential ?? Hi All, I need mathematical help from the topic electrical potential for lectures on physics by Richard Feynman. Need some help to understand mathematical method used here. question : 1) From electrical potential.png ( how this partial...

Homework Statement The question is to solve the IVP: x'=2x+y-e^2t & y'=x+2y, where x(0)=1, y(0)=-1Homework Equations Arranging the equations and substituting in D for the derivatives, the equations become: 1. (D-2)x-Dy= -2e^2t 2. (D-2)y-Dx= 0 The Attempt at a Solution My first attempt was...

Hi everyone I have an understanding problem concerning the method of images method Homework Statement Jackson uses this kind of problem in his textbook but I don't understand it. We have a charge q on the z axis at distance d. the dielectric constant is e1 when z>=0 and e2 when z<0. Now...

y(4) - y = 3t + cos t y''' - y' = 2sint y(4) + 2y'' + y = 3 + cos 2t For problems like these, how do you determine what to make Y(t) for the trigonometric part? Sometimes its At cos t, A cos t, A sin t, and I think occassionally even A0sin t + Acos t Am I simply supposed to guess until...

Homework Statement Evaluate the indefinite integral using two separate cases: ∫xcos(bx) dx Homework Equations Integration by parts: ∫f(x)g'(x) dx = f(x)g(x) - ∫f'(x)g(x) The Attempt at a Solution I solved the problem using integration by parts and...