Method Definition and 1000 Threads

(∃x)[P(x) → Q(x)]∧(∀y)[Q(y) → R(y)]∧(∀x)P(x) → (∃x)R(x)

regarding question number 10, we have h = f + λg where g is the constraint (the ellipsoid) and f is the function we need to maximize or minimize (the rectangular parallelpiped volume), now my question : is it right that f is 8xyz ? i mean if we take f to be xyz not 8xyz and solved till we got...

Homework Statement Hi! I've been interpolating a data set using Legendre polynomials and Newton's method and now I've been asked to, given a data set, approximate the function using the Least Squares Method with the following fitting function: ##g(r)=a+be^{cr}##, where ##a##, ##b## and ##c##...

Hello, I am new in the field of FORTRAN. I started to write a code using Newton Raphson method. Below is the code of main program portion only. During my calculation, I have found that my results are not converging, Any help or advice will be highly appreciated in this case. Thank you for the...

I have a question where f(x) = 20-2x^2/(x-1)(x+2)^2 and have solved for constants A,B and C. A = 2 B = -4 C = -4 I have worked this out myself. Now I am told to compute the indefinite integral and I am getting this answer but apparently it is wrong and I don't understand how? My answer...

Question: Why equations x(1-x)\frac{d^2y}{dx^2}+[\gamma-(\alpha+\beta+1)x]\frac{dy}{dx}-\alpha \beta y(x)=0 should be solved by choosing ##y(x)=\sum^{\infty}_{m=0}a_mx^{m+k}## and not ##y(x)=\sum^{\infty}_{m=0}a_mx^{m}##? How to know when we need to choose one of the forms. Also when I sum over...

Hello everyone! I am building set of Fortran code to solve integral equation. I have read "Numerical recipe" and heard about "Nystrom method". But there's no sample problem, I found it difficult to understand. Can anyone explain "Nystrom method" for me with a simple problem? Many thanks

The Transverse resonance method is used to determine the propagation constant of a wave in several waveguides, like the rectangular waveguide, or also dielectric waveguides. It takes advantage of the fact that a standing wave is present along a certain direction (transverse with respect to the...

This is not part of my homework, but it can make my life much easier. I try to prepare the Excel file as instructed in the link, but I can not find information on how to get the correct value of Theta Dot. http://www.esm.psu.edu/courses/emch12/IntDyn/course-docs/Euler-tutorial/ I'm sorry that...

So I'm getting ready for an exam on tuesday, and I'm using each method for volumes of revolutions for every problem but I'm not getting the same answers. So, let's use this as an example: y = 5x; the shaded region is from [1,2] Using the disk method (about the x-axis) I find: R(x) = 5x; r(x)...

So I know how to do Newton's Method without any trouble, taking a value for n then taking it away from the function divided by the derivative of the function I get that entirely and have done roughly 22-23 examples of it over the past 3-4 days. However I have come across one question regarding...

Homework Statement Homework Equations http://www.maths.manchester.ac.uk/~gajjar/MATH44011/notes/44011_note4.pdf The Attempt at a Solution I obtain i) and ii), but I can't understand the way to study iii) and iv), particularly to choose the rigth paths.[/B]

I haven't taken a course on quantum mechanics yet, but I was asked to solve (numerically) ##[-\frac{\hbar^2}{2m}\frac{d^2}{dx^2}+V(x)]\phi(x)=E\phi(x) ## ##V(x)=2000(x-0.5)^2## by supposing the solution is ##\sum_{0}^{\infty} a_n \phi_n(x)## and ##\phi_n(x)## is the typical solution to the a...

Homework Statement Name a strength and weakness of each technique. Homework EquationsThe Attempt at a Solution The two techniques that I came up with are: Magnetic Line of Force in rocks to analyze land-based paleomagnetic data. Strength: Well, it's easy to collect. [need help here]...

Homework Statement Determine the axial forces in the members of the truss and indicate whether they are in tension or compression. Homework Equations Fx = 0 Fy = 0 Mp = 0 The Attempt at a Solution I attempted to find the reactions at the supports first. So: Fx = 0 = Bx + 800cos(250)N Fy...

Homework Statement A double loop circuit is shown in the figure below.[/B] The Emf x = 6.00 V and the Emf w = 19.00 V. Both are shown on the diagram. Calculate the power dissipated in the 6 Ω resistor located on the extreme right in the circuit. Homework Equations V=IR, P=VI The Attempt at...

Homework Statement Given: Initial orbital elements of a satellite a=6652.555663km; e=0.075; i=28.5 degrees; Ω=40 degrees; w=30 degrees; n=0 degrees;Tasks(using MATLAB): 1. Convert orbital elements to position and velocity vectors 2. Use these vectors to initialize the Runge-Kutta...

Homework Statement This is the force table lab that we are doing. F _1 = 300g @ 30^o F _2 = 450g @ 110^o F _3 = 400g @ 230^o F _4 = 270g @ 298^o Finding resultant force using Component Method 1. Express each force F1, F2, and F3 in unit vector notation. Take the origin to be at the center...

Homework Statement Homework Equations Law of multiple proportions The Attempt at a Solution Carbon first: 4.61/0.39 = 11.82 C/H Hydrogen 0.39/4.61 = 0.08 H/C therefore 11.82/0.08 = 139.72 ~ 140 masses of carbon that combine with hydrogen are in a 140:1 ratio Does this look right? Or...

Hi, I have been trying to find some articles that would cover the Lagrange mesh method applied to the 1-D Schrödinger eqtn. - using the Laguerre mesh. I want to develop some fortran programs, for example building Lagrange functions, the kinetic energy matrix elements ... LMM is totally new to...

Homework Statement y''+10y'+25y=x+2+3e-5*x Homework EquationsThe Attempt at a Solution F(D) = D2+10D+25 zeroes: -5 yc= C1*e-5*x + C2*e-5*x *x yp = ax+b + C*e-5*x yp = ax+b + C*e-5*x*x2 I just want to know if my yc and yp is correct, after that I know how to do it.

I'm trying to replicate the model presented in this [paper](http://www.sciencedirect.com/science/article/pii/S1359431103000474), which is basically to model heat and mass transfer along a one-dimensional duct. There are four characteristic equations for this problem : Momentum conservation...

[Mod note: Post moved to new thread, so template not included] Hello there again! I started working on the second problem but I think I am doing it wrong so I thought I would post the first step and do this one step at a time to see where the mistake was. So the task is to determine UR3 and...

Hi there, in my notes for Heun's method for solving an ODE, I have y(new) = y(old) + 0.5(k1 + k2)Δh And k1 is supposed to be f(y(old)) while k2 is f(y(old) + q11k1Δh) and q11 is 1 So if for example I have a simple differential equation like du/dt = au It would be du/dt = 0.5(k1 + k2) du/dt...

Homework Statement I am supposed to find the roots of the equation: 10esinx = x2 - 5x +4 in MATLAB using Newton's method with a tolerance of 10-8. There should be three roots. Homework Equations p=po - f(po)/f'(po) |p - po| < TOL The Attempt at a Solution Here is what I have for the code...

Hi, I am learning about the method of image charges, but am struggling to sufficiently justify my answer. It appears to be correct, though it quite possibly isn't... 1. Homework Statement (please see attached item) Two semi-infinite grounded conducting planes (the shaded region in the...

Hi. I am just starting to study QFT using the path integral method and for which the main textbook is by Srednicki. Does anyone know of any good online videos which would be suitable Thanks

Homework Statement Ok, so suppose I have an equation like V_out = 0.5(1 + R4/R3)(V1+V2) and I know the R3 and R4 has a tolerance of +-5%. For such an equation and similar ones, how would I estimate the possible range of values V_out? For example, I'd like to find out something like...

Homework Statement Dont really need the answer, but I want to know if point C has Cx and Cy or just Cy. I am confused there.

Hello, In my statics course, we had to design a bridge, and now, I have to calculate the internal forces in every member of the truss. At first, I have found Ay and Oy with the moment of force, but then, I am stuck since the truss is not perfectly aligned. Sadly, I can't use the method of...

I have the equation: x = 2*L*sin(θ/2) and in my lecture notes they have converted it to: ϑx = L*cos(θ/2)*ϑθ Is it correct to do the following to get this answer? x = 2*L*sin(θ/2) x = 2*L*sin(θ/2)*(ϑ(θ/2)/ϑx) x*ϑx = 2*L*sin(θ/2)*ϑ(θ/2) 1*ϑx = (1/2)*2*L*cos(θ/2)*ϑθ ϑx = L*cos(θ/2)*ϑθ My problem...

where i can found an example A FORTRAN control volume finite element method code FOR FLUID FLOW PROBLEMS thanks for help

My question is best illustrated by an example from a Griffiths book on E&M: "A point charge q is situated a distance ##a## from the center of a grounded conducting sphere of radius R (##a>R##). Find the potential outside the sphere... With the addition of a second charge you can simulate any...

Hi, I'm new in physics and optics so I need a little help. I've a simple optical system from 2 thin lenses. The first thin lens has a focal distance of 50 [mm] , and the second one has 25 [mm]. The 2 lenses are separated by 40 [mm] and the object is placed 75 [mm] before the first lens. I've to...

Hi everyone, So I'm a chemical engineering grad student and oddly enough I have been tasked with doing chemistry (strange I know). I'm currently doing atom-transfer radical polymerization (ATRP) using a metal (CuCl or CuBr) and a ligand (dNbpy or PDMETA). My monomer is a methacrylate group...

Hello, I am a last year mechanical engineer student in Marocco, and i have no idea to solve a problem with my final year project, since we have never studied a thing about Metal fabrication. The question is " give one method the Cone Deck could be formed in mass production assuming that flat...

The classical problem of the image method is: An infinite conducting and grounded (V=0) plate is on the xy plane. A charge ##q## is above it (we can think that it lies on the #z# axis). Knowing that ##V \to 0## as you move far away from the charge and that ##V=0## on the plane find the...

First time on this forum, hoping you can help clear something up for me. I am using the Van der Pauw method to characterize the sheet resistance of a metal film. In the standard setup, current is pushed through two contacts and voltage is measured across the other two contacts. My colleagues...

Homework Statement package myfirstgame; import javax.swing.JFrame; import java.awt.Graphics; /** * * @author danif */ public class MyFirstGame extends JFrame { public MyFirstGame() { setTitle("the game"); setSize(250,250); setResizable(false); setVisible(true)...

Hi, I have written some codes for the finite difference solution of diffusion equation (\frac{\partial c}{\partial t}= D {\nabla^2 c}, where c is the species concentration and D is the diffusion coefficient) as follows: DO k= 1, tsteps+1 DO i = 2, zsteps DO j = 2, rsteps...

Homework Statement Hi, in this book " [Nouredine_Zettili]_Quantum_Mechanics_Concepts ", Eq. (9.133) Homework Equations I don't know how the second line had come from the first line:The Attempt at a SolutionI got only two terms such that: $$ < \psi_0| H | \psi_0 > = A^2...

Solve the following Cauchy problem using the Method of characteristic curves: $x_1u_{x_1}+x_2u_{x_2}=\alpha u$ in $\mathbb{R}^{+}\times \mathbb{R}^{+}$ $u(x_1,1)=g(x)$ for all $x_1\in \mathbb{R}^{+}.$ Find the local solution for the problem.Hello. I get as solution $g(s)=s$, I want to know if...

Homework Statement I chose D, because since SiO2 is an acidic oxide whereas CaCO3 is neutral. But the correct answer is C. And i have doubts on option A and B too.. I can't seem to see why are they not right.. For A, I thought a neutralisarion reaction will happen with SiO2? And for B, I...

Hello everyone, I'm using the book Apostol- Calculus Vol. 1 for self-studying to get a better understanding of proof based Calculus. They said this book was good for self studying, but I am already stuck in the first chapter. I'm trying to understand how he got the identity: 12+22+...+n(2)=...

Why does the method of images work?

I was solving for a shape on Earth which has minimum potential energy. i used method of variation calculus. I assumed a function f(x) and rotated it around Y axis. sorry for uploading the problem in word.

Use the component method to add the vectors A and B shown in the figure. Both vectors have magnitudes of 3.55 m and vector A makes an angle of $θ = 28.5°$ with the x axis. Express the resultant A + B in unit-vector notation. I don't understand how my answer is wrong. Isn't it $A + B =...

Homework Statement I have been trying to solve the following nonlinear ordinary differential equation: ##-\Phi''-\frac{3}{r}\Phi'+\Phi-\frac{3}{2}\Phi^{2}+\frac{\alpha}{2}\Phi^{3}=0## with boundary conditions ##\Phi'(0)=0,\Phi(\infty)=0.##Homework Equations My solution is supposed to...

I was reading this document from CMS: https://cds.cern.ch/record/2002036?ln=en But I have some problems understanding how they calculated the bckg coming from the QCD. My questions come from Sec.6 Background, so you can jump and have a quick glimpse over it (?). They used the tight-to-loose...

(I am new to this forum so please do forgive me if I am posting at a wrong place.) Hello, I am a final year student of BS Mechanical Engineering and method of characteristics is not a part of our curriculum. In-fact I heard of it first time after finally picking my FYP. My final year project is...