Method Definition and 1000 Threads

Upon entering my first physics class, I've noticed that taking notes is radically different than in any other class. It seems that during lecture one has two options. Option 1: Don't take very many notes at all, and instead focus on the lecture. Option 2: Take good notes, and miss what the...

Homework Statement Homework Equations Finite difference method The Attempt at a Solution I have tried two different approaches, but still i am wrong in the question. Can anyone guide me how to attempt this question? Thank you

Homework Statement The Attempt at a Solution I have deliberately made several obvious steps, because I keep ending up here. However I have no idea what to do from here. I thought about the fact, that differential equations have the solution ##x = x_{HOM} + x_{Inhom}##, but the ##x_{HOM}##...

How does the parallelogram method work to solve one of two forces with different angles? Or better said, how do you derive the method so that I can get a better understanding of it ?

Homework Statement The z = 0 plane is a grounded conducting surface. A point charge q is at (0,0,a), and charge 4q at (0,-2a,a). Calculate the potential in the region z > 0. Homework Equations V=∑kq/rThe Attempt at a Solution [/B] Use the method of images. V1 = kq/r+ + kq/r- V1=kq(1/sqrt(x^2...

Homework Statement The following figure represent the traversal cut of a system with two cylindrical equal conductors of radius r0 length l at a distance d from one another and at the same distance h of a plane conductor (conductor zero). The dielectric that surrounds the conductors is the air...

<Moderator's note: Moved from a technical forum and thus no template.> Problem: One dimensional quartic oscillator, V(x) = cx^4 (c is a constant) Use the trial function e^(-aplha(x^2)/2) to determine the value of the appropriate variational integral W. I've attached a picture of my work. I...

Homework Statement a = [1 1;4 1] Homework Equations R = M^-1 * a * M X = M * e^(R*t) * M^-1 * x M is matrix of eigenvectors. The Attempt at a Solution lambda = 3, -1 initial conditions: x = [1 1]' at t = .1 eigenvectors: k1 = [1 2]' k2 = [1 -2]' M = [1 1;2 -2] M^-1 = [.5 .25...

What I have done: I changed all fractions to common denom and that gave me 5y-5x=1 (1) *I numbered the fractions 5y+2x=5 (2) Then: 5y=5-2x Substitute into equation 1 (5-2x)-5x=1 5-7x=1 x=4/7 Thing is my answer says I should be getting x=0 Any hints?

I mean by the best the one that use the least energy to produce the grater force capable of carrying weights . Say you have a pulley attached to a ceiling with height of 3 meters, around the pulley is a string that attached to a 30 kg weight and on the other side of the string you want to use...

do you eliminate an independent current/voltage source one at a time or can you do all of them at once. Let us say you have 5 independent voltage sources and 5 independent current sources. Do you short circuit 5 of those voltage sources and leave 5 independent current sources or do you have to...

When using the Mesh Current Method and you encounter a loop with a current source that is going opposite to the mesh current do you write it down as a negative current source?

Node Voltage Method or Mesh Current Method.

Homework Statement i) Determine the slope of the beam 1m from the wall. ii) Calculate the deflection at the free end of the beam. Homework Equations Macauly's method of deflection: M = -RX + W[X-a] Integrate once for slope Integrate twice for deflection The Attempt at a Solution [/B] It...

In the four-observation method of Gauss for orbit determination, the right ascension and declination of an asteroid is observed at specified times, and the heliocentric position of Earth is obtained from tables (or JPL Horizons) for those same times. I can follow the procedure to the point...

Homework Statement For which values of b will the quadratic function ƒ(x) = x2-2bx+7 have a minimum value of 6? Homework Equations y = ax2+bx+c y = a(x-h)2+k b(first one) = -2ah(second one) c(first one) = ah2+k(second one) The Attempt at a Solution...

I have been going through problems in my textbook and have a question. The chapter is on gravitation and orbital mechanics. When answering the problems I seem to head towards different methods than what the book prescribes. My answers, primarily using known orbital equations, are close, but not...

I am trying to add 'pip' in Python/Scripts to path in Win10 but the method available to do this seems to have changed recently. I used to just double click on 'path' in 'system variables' and paste path to pip (or whatever) at the end of a string of similar paths separated by a semicolon. But...

I'm trying to understand the tight binding method but I'm struggling with a lot of the mathematical formalism. A lot of the mathematical formalism I read jumps into explaining it a few too many steps ahead of where my understanding is. I understand it's an approach to calculating the band...

I am trying to write a program that calculates the root of chi-square. I am not getting the correct answer and I honestly am at my wits end trying to figure it out. I know my simp_p() method is returning the correct value, but for some reason my root_chisq() method is not giving me the correct...

How would I be able to produce a circuit that produces a very high current at a very low voltage? Would it be considered a reverse Tesla coil?

Could someone please provide guidance on how to begin this problem? I've attached the preface to the assignment question.Show that the general solution of the differential equation y″(x)=−y(x) is y(x)=Acos(x)+Bsin(x) where A and B are arbitrary constants. Hint: You'll need the Taylor series...

Hello, dear scientists and forum users. I have recently finished programming the restricted closed-shell and unrestricted Hartree-Fock matrix equations. They seem to work fine for small diatomic molecules. However, I cannot understand the restricted open-shell theory that was firstly published...

Hi, This is a NEW method for solving differential equations - Case Studies. Please go to this website to see how: http://www.sysins.com Thanks. Yousif Sammour.

Just got back from a conference where one of the invited speakers presented his work on using the Immersed Boundary method with Adaptive Mesh (to model cardiovascular flow): https://cims.nyu.edu/~griffith/ This summer, I have an undergrad modeling pulsatile flow in an elastic tube using the...

Hello, I was given following task: A food processing company has to make a decision whether or not to expand its production facilities. A feasibility study showed the following estimates: Initial cost outlay €800,000 Further outlay in 4 years €600,000 Residual value after 10 years €200,000...

Hey everyone, I’m trying to simulate a 1D Shallow Water wave in FORTRAN using the Lax Wendroff Method. The case is fairly simple. I have a wave generator on one end of a water pool and a wall boundary on another. The waves start traveling towards the wall and are ‘reflected off’ the wall. The...

TIL learned about a new (to me) method of mutagenesis: (I was going to do a TIL but it seemed too Biology-y, so its like TIL, Biology version!) Someone made a piece of protein called Mini Singlet Oxygen Generator (miniSOG). It makes reactive oxygen species (ROS) upon blue-light illumination...

I was wondering, how does NASA actually calculate their super exact Ephemerides?

Hey! :o I am trying to understand the multiple grid method. The idea is to use at each step different grids to solve a linear system of differential equations, so that we get the best approximation as possible. It holds that the finer the discretization, the more accurate the solution ist...

I need to calculate the energy of the ground state of a helium athom with the variational method using the wave function: $$\psi_{Z_e}(r_1,r_2)=u_{1s,Z_e}(r1)u_{1s, Z_e}(r2)=\frac{1}{\pi}\biggr(\frac{Z_e}{a_0}\biggr)^3e^{-\frac{Z_e(r_1+r_2)}{a_0}}$$ with ##Z_e## the effective charge considered...

Homework Statement [/B] I was reviewing this stuff and although I excelled at it once, I seem to forget some of it. For example, please consider this: Homework Equations R_C=\frac {R_1R_2} {R_1+R_2} + R_3 Here's the correct formula for its error: \Delta R_C=\frac {R_1R_2} {R_1+R_2} \left[...

Hey everyone. I've attached a code I have written in FORTRAN implementing the SOR Method for a 2 D Laplace Equation. Subroutines have been created, grid has been created and initial and BC's applied appropriately. While computing the error of each iteration, I am unable to achieve the desired...

I have seen two approaches to the method of integration by substitution (in two different books). On searching the internet i came to know that Approach I is known as the method of integration by direct substitution whereas Approach II is known as the method of integration by indirect...

Hi, in the link https://www.researchgate.net/profile/Andrew_Sornborger/publication/220662120_Higher-order_operator_splitting_methods_for_deterministic_parabolic_equations/links/568ffaab08aec14fa557b85e/Higher-order-operator-splitting-methods-for-deterministic-parabolic-equations.pdf and equation...

Dear, everyone.. I am doing a numerical investigation of unsteady heat transfer in a Newtonian fluid occupying a square cavity. I solved numerically using HSMAC(Highly Simplified Marker and Cell) finite difference approach as the governing dimensionless equation. The fluid flow is simulated...

Homework Statement if a beam fixed at two points is on an angle say 45 degrees from the x or y-axis instead of running parallel to x-axis in most questions does this effect calculations? The force acting upon it would be a load directly downwardsHomework Equations N/A The Attempt at a Solution...

$$ y == x*Tanh[x]$$ Solve for "x". Does this exist? Even in terms of more complicated functions like Lambert W, or possibly recursive solutions/geometric series/etc. Thanks, if anyone can point me in the right direction!

When using the method of differences on a given series, when do you stop listing the terms? Example question: f(r)= ; r∈N State f(r)-f(r+1) in terms of r and hence determine So skipping until the worked answer gives Great so here I included the n+1th term because I'm guessing since the...

Homework Statement a) explain why a pattern of bright and dark fringes is visible on a screen when a light is shone through a double slit. b) Use this data to determine the wavelength of light being used to create the interference pattern. Do this three different ways. -The angle to the eighth...

The Variational Method allows us to obtain an upper bound on energy of the ground state (and sometimes excited states). Is there any way of determining an upper bound on the error of the energy obtained by the variational method without an analytic or numerical solution to the problem? i.e. Is...

Hello to everyone! I'm having a problem, banal in form, but perhaps complex in practical application. Let's suppose we have 300 functions $$y = f (x)$$ of random trend and we want to group these functions into 10 subgroups (each group consisting of 30 functions). However, this grouping must...

Homework Statement A particle moves in a straight line with the acceleration shown in the figure. Knowing that it starts from the origin with ##v_0 = -14ft/s##, plot the v-t and x-t curves for 0 < t < 15 s and determine (a) the maximum value of the velocity of the particle, (b) the maximum...

hi, i don't know if this qualifies as a question or not, but this is something i can't really understand. i am an engineering undergrad, when we are learning about the pros and cons of different method of doing anything , for example maximum power point tracking in PV systems, we discussed a...

Hey guys, when you're linearizing a function that has a constant, what do you do to it? An example would be y = x^2 + 3, would you just linearize it using its derivative and get rid of the constant?

Homework Statement I'd like to solve the following integral using the 2D trapezoidal method in fortran 95 $$I=\int^{1.40406704}_{-1.40406704} \int^{x+1.40406704}_{x-1.40406704} exp(x+y) dy dx$$ Homework Equations $$I= \frac{h}{2} \left(f_0+ 2 \sum_{i=1}^{n-1} f_i +f_n \right)+O(h^2) $$ The...

Homework Statement Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equations. y'' - 4y' + 4y = 2e^(2x+3) Homework Equations I'm not sure what to do from here... Also, I'm new here. How do I use the superscript...

A couple of months ago I was troubleshooting a blown fuse on a power factor correction capacitor in a 4160v motor starter. While I was working through it I noticed that my DMM (fluke 289) would charge the capacitor to a certain degree while on the Ω function. The current from the meter would...

Hey! :o Let $G$ be the iteration matrix of an iteration method. So that the iteration method converges is the only condition that the spectral radius id less than $1$, $\rho (G)<1$, no matter what holds for the norms of $G$ ? I mean if it holds that $\|G\|_{\infty}=3$ and $\rho (G)=0.3<1$ or...

Hi PF! I want to solve ##u''(x) = -\lambda u(x) : u(0)=u(1)=0##. I know solutions are ##u(x) = \sin(\sqrt{\lambda} x):\lambda = (n\pi)^2##. I'm trying to solve via the Ritz method. Here's what I have: define ##A(u)\equiv d^2_x u## and ##B(u)\equiv u##. Then in operator form we have ##A(u) =...