Method Definition and 1000 Threads

Why θ in radian equals arc/radius? I know that it can't be proved but there must be a explanation for this formula. How founder may have got this idea.

Homework Statement Let ##F(x,y)=4sin(xy)+x^3+y^3## Use Newton's method to approximate the critical point that lies near ##(x,y)=(-1,-1)## Homework EquationsThe Attempt at a Solution I have a problem here because the derivative is not a square matrix. Hence, I can't find the inverse needed for...

im stuck on identifying vertical asymptotes because of this nasty denominator. My professor telling me to factor it out but, is there different way to solve for the vertical asymptotes.

Okay, I'm following a series of video lectures on applications of finite element method to engineering, and the tutor started by demonstrating the mathematical background of FEM using a simple heat transfer problem. He derived the governing equation (in just one dimension): (1)...

Can the Euler approximation method be used to solve higher order DE? I have ##\ddot x=\omega^2 x## which i rewrite as ##y''=\omega^2y##. initial conditions y(0)=0, y'(0)=1. The Euler method: ##y_{n+1}=y_n+h\cdot y'_n##. i use this to make: $$y''_{n+1}=y'_n+h\cdot...

I recently did a level survey however am a little stumped over a calculation. I am trying to calculate the Reduced Level using the "Height of Instrument" method. I know how to do the calculations etc. so I am not asking for this to be done for me. It is more of a general question about this sort...

Hi guys, It is not some homework, so I think it is better to post here. I would like to know if my method is correct for the work of the walls x and y. I suppose no mass, no friction and the gas keeps its temperature constant. An external device modify the shape of a triangle but it keeps...

Suppose that I have an overdetermined equation system in matrix form: Ax = b Where x and b are column vectors, and A has the same number of rows as b, and x has less rows than both. The least-squares method could be used here to obtain the best possible approximative solution. Let's call this...

What happens when you have to subtract: 30 -9 Basically 30 - 9 but the 3 must be made 13, so what happens to the zero? I know if it was any other number we would reduce its value by one. Also, if possible, can anyone please show me how 30 in base 5 is 110? I understand that its 1*5*5 + 1*5...

So I am trying to find the volume of a solid with this information given to me: 𝑥=0 𝑦=0 𝑦=−2𝑥+2 However, when I go to enter this information into a disk method calculator, I don't have enough information to enter into the calculator, such as the lower function and limits. My question is...

Homework Statement Homework Equations Node Voltage Method V=IR The Attempt at a Solution So I have never worked with a bridge/ladder circuit before and I am not sure if I am doing it correctly. My professor never gave us an example of a bridge/ladder so I'm kinda winging it. Anyway can I...

My Approach is shown in the picture.

I am trying to derive the k dot p formula with the spin orbit interaction term included. I am having some trouble. I insert a bloch wave function multiplied with an unspecified spinor. But how do I treat the cross product term that comes from the SO and what is the effect of the pauli matrix...

Does anyone know how to find the total mass matrix of two coupled element by using Finite Element Method?

Homework Statement ii)Rayleigh method gives me inverse of expected result.Would really appreciate your help. Homework Equations show that ##f(gamma)##=##(\frac {ro*R^5} {E*t^2})## where ro=density R=radius E=energy The Attempt at a Solution We will do dimensional analysis on the elements...

i have a frame-buffer , and i want to draw a line using assembly language . i cannot work with decimal numbers . what's the best and most efficient method ? thank you .

Let's say you have part of frame contacting the ground, such as the feet on the base of the tripod. Assuming each leg is equally spaced around a center post, how would you go about analyzing this type of structure? I'm trying to teach myself how to use the stiffness method, but all the examples...

Why we use 0 to 200 mv and 0 to 0.20 ma in four probe method and also why we use only mercury thermometer in this method?

Homework Statement Why do we need two solutions to solve a 2nd order linear differential equation? lets consider a differential equation with equal roots for auxiliary equation. So the reasoning behind why can't we use y=Aen1x+Ben2x as its general solution is because since the roots are equal...

Hi, I'm struggling to understand how the generating polynomials work and are implemented in the difference equation for a general ODE y' = f(t,y) Difference Equation Generating polynomials "Coefficients are normalized either by a_k = 1 or sigma(1) = 1

I'm writing a program to compute an ODE solution of the Kepler's problem based on Runge-Kutta 4th order method and today I've past the whole day trying to made it work, but I've failed, maybe you could help me to kill the problem ? The solutions is cartesian. int main(){ int n...

Given the fact that there are 51 states and districts, there are 251 subcollections of the 51 states, which I can't possibly iterate over entirely. So what I do is find 210 subcollections of states whose electoral votes summed are 270 or greater. I then sum together the probabilities of Trump...

I'm doing a paper on the particle-in-cell method, which was designed by Harlow and Evans in the mid 50s. But I'm reading Hockney and Eastwood's book Computer Simulation Using Particles in which they describe their models, and term them PP (particle-particle), PM (particle-mesh), and PPPM...

Hello everyone Homework Statement I have been given the testfunction \phi(\alpha, r)=\sqrt{(\frac{\alpha^3}{\pi})}exp(-\alpha r) , and the potential V(r,\theta, \phi)=V(r)=-\frac{e^2}{r}exp(\frac{-r}{a}) Given that I have to write down the hamiltonian (in spherical coordinates I assume), and...

Homework Statement The method given in my book is to find the square root of a quadric surds is to : Consider a and b where both are rational and √b is a surd Equate the square root of a+√b to √x+√y ie (a+√b)^(1/2)=√x+√y Squaring both sides we get a=x+y and b=2√xyHomework EquationsThe Attempt...

Homework Statement I have performed a chemistry experiment where I analyzed how the diluting of two reactants with the same volume and initial concentration impacts the percent yield of a precipitate product. Thus my IV was concentration and my DV was percent yield. My question is what is the...

Hello all, I have recently been attempting to refresh my memory in regards to method of joints and have been making some reasonable progress, however I have ran into a stumbling block that has left me quite puzzled. I have been using the Skyciv truss calculator to verify my work and for the...

Homework Statement Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 4 - x2 y = 0 Homework EquationsThe Attempt at a Solution Okay I understand that the region is symmetric about the y-axis...

Homework Statement We have a coordinate system (x, y, z). Two conducting plates 1 and 2 are parallel and lie in the x-y plane. Plate 1 is at height (x, y, 0) and plate 2 is at height (x, y, 4a), where a is an arbitrary constant. Between these two plates there are 2 charges +q and -q. Charge...

Homework Statement I have problem with the flow rate (Q) in junction that join 2 loops together , where k = 4 , Why in the second correction , the corrected Q in first and second loop = 21 clcockwise for left loop , and for 21 anticlockiwise for right loop ? Homework EquationsThe Attempt at a...

Hi , I was hoping you could look at this link and let me know if I have interpreted the method correctly http://i.imgur.com/5axTiBN.jpg As I understand it the transfer function has had s replaced by jw but also the top and bottom are divided by 10 - This is so that the brackets on the bottom...

I have been studying the method of symmetry from some days, which essentially reduce the effort needed for the evaluation of equivalent resistances. My textbook states: Points having symmetrically located about initial and final points have the same potentials.So, the resistances between these...

Homework Statement i have a netwrok of pipe as shown in the figure . I'm asked to find the flow rate using HARDY CROSS method . in the second trial of first loop at junction CA , which value should i use ? -15.3 from the corrected in second loop ? or 22.7 from the corrected value in the first...

Homework Statement i have several example of hardy cross problem involve 2 loops , for the junction that divide 2 loops , is it necessary to use the corrected value for the junction on second loop for the first trial ? or just use the initial assumption will do ...

Hi there. I was trying to implement Numerov method for solving second order differential equations (you can see some information of Numerov algorithm at here: https://en.wikipedia.org/wiki/Numerov%27s_method ). At the beginning I've used a uniform grid mesh, all points equally spaced. I'm...

Homework Statement I was checking my work and Chegg uses the equations differently. Can somebody tell me why? Maybe I'm misunderstanding how/why to use the equation I chose. Homework Equations They say aB = -ω2ABRB/Ai I used aB = aA + αk x r - ω2rB/A The Attempt at a Solution So obviously...

Homework Statement Calculate the forces for each member. Homework Equations Sum of forces in x=0 Sum of forces in y=0 Sumof moments about D=0The Attempt at a Solution Work is on attached image of problem. I'm having trouble solving for support reactions. At D there is [/B] a hinge. At A...

Hi everyone, I am trying to find electron wavefunction of a system I am working in. Numerical method I choose is the Variational method (VM). This method is convenient to find the ground state of the system. More details are available here. Problem I have can be explained on a very simple...

I was trying to implement a variable grid mesh in Numerov's method, while playing with fortran. Numerov method was working well with a standard discretization, but when I tried to implement this variable grid, things came to look as if the 'metric' of the function were depending on the...

Hi guys. This is my first post here. Here it goes. I'm attending an introductory course on particle physics. By now, I'm supposed to know how to find out if a given reaction, say νμ+p→μ++n (for example) is possible or not. Unfortunately, the rules by which a reaction must abide are still foggy...

iam in class 11th iam suffering from a great difficulty to understand parallex method , inspite of book's example

Homework Statement How can i find the fundamental frequency of a closed piep (measuring cylinder) experimentally/ physicaly. I have done the maths and found the frequency but i want another way to prove this other than simply playing the calculated frequency back at the measuring cylinder. I...

Hi, I have an optical model, fully programmably controllable with python. I want to know how much my variables (say N) of my model impact a certain parameter (i.e power, abberations). Now I have no clue how to go about this. There must be some analytical (numerical) method that I could use but...

Homework Statement I am having some trouble understanding the following solved problem: Use two iterations of the Secant method to estimate where ##x^2 -x## has a local minimum. Start with ##x^{(0)} =1##, ##x^{(1)} =1/2.## Answer: Homework Equations Secant iteration: $$x_k = x_{k-1} -...

Homework Statement In the following circuit, the battery has emf ε = 12.7 V. The resistors are R1 = 2000 Ω . R2 = 3000 Ω, and R3 = 4000 Ω. What is the current through resistor R2 ? Homework Equations Kirchoff's Rules V=IR The Attempt at a Solution i0 (into A) - i2 (current into resistor 2) -...

In Matlab I am trying to use the composite Simpson's rule to find ##x_l## so that $$170=\int^{x_l}_0 \sqrt{1+(y')^2} dx = \int^{x_l}_0 \sqrt{1+\left( \frac{x^2}{68000} \right)^2} dx $$ For convenience this can be written as $$I(x) = 170 - \int^x_0 \sqrt{1 + (\frac{x^2}{68000})} dx$$ The...

I'm looking to measure the weight of an tennis racket at different lengths. Obviously If I stick it on the scale it will give roughly the sam,e weight no matter if I put the whole racket on, or a third of the racket. Would there be a way I could measure the weight, of say the first third of an...

Hi guys, I did a few sets of test in determining the natural frequency of a crane lifting loads. From that, I tried to find two constant from its initial function. a is the stiffness of the pole that was holding the crane b is the weight of the crane x is the weight of the load The tests...

I am trying to write a very basic Matlab code to preform the split-step Fourier method on the nonlinear Schrodinger equation: $$\frac{\partial A(z,T)}{\partial z} = -i \frac{\beta_2}{2} \frac{\partial^2A}{\partial T^2} + i \gamma |A|^2 A \ \ (1)$$ I want the program to make 3D plots of...

Dear all I want to know a formula in order to calculate corner point flux using surface and volume averaged fluxes in triangular geometry. I studied some papers from Finneman and et. al., but I could not find the necessary formula. I have attached a file about my quastion. Thank you