Method Definition and 1000 Threads

Hello! I am trying to write a program that solves the Schrodinger Equation for a particle in an infinite square well. I did a lot of research regarding the methods that could be used to accomplish this. I am writing this program in Matlab. The method I am using is called the Shooting Method. In...

Homework Statement Due to formatting problems, I have attached the problem below. Homework EquationsThe Attempt at a Solution Plotting the appropriate graphs and based on linearity, I have determined that the reaction is first order with respect to [O2] and second order with respect to [NO]...

1) the problem I understand Newton's method and I was able to find all the real roots of the function.However, I don't understand how to find the complex roots. I know that z=x+yi, and that I can plug in z for the formula. However I, don't know how to change the function (...

$\textsf{1) Evaluate the integral}$ \begin{align*} I_1&=\int x \csc^2 6x \, dx\\ u&=6x\therefore du=dx\\ dv&=\csc^2(6x) \, dx \therefore v=-\frac{1}{6}\cot(6x) \\ u&=6x\therefore du=6 \, dx \\ I&=-\frac{1}{6} x\cot(6x)+\frac{1}{36}\int \cot(u) \, dx\\ &=\color{red}{ -\frac{1}{6} x\cot(6x)...

Homework Statement Upon using Thomas young’s double slit experiment to obtain measurements, the following data were obtain. Use these data to determine the wavelength of light being used to create the interference pattern. Do this in three different ways (6) • the angle to the eighth maximum...

Homework Statement Two boxes with masses m_1 = 4 kg and m_2 = 10 kg are attached by a massless cord passing over a frictionless pulley as shown in in my picture. The incline is frictionless and thetha = 30 degrees Homework Equations f = ma The Attempt at a Solution [/B] Tension 1 is...

Is there a way to estimate the upper limit and lower limit of time for doing a work? Suppose we are learning a page of facts and want to estimate the upper and lower limit of time taken to do so. If we start estimating the time we will find that the pages are learned in some variable periods of...

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 x-axis. $$y=\frac 1 x$$ Homework Equations $$Volume=2\pi\int_a^b p(y)h(y)dy$$ The Attempt at a Solution [/B] I see that there...

$\tiny{242t.9.1.15}$ $\textsf{Use Euler's method to calculate the first three approximations}$ $\textsf{to the given initial value problem for the specified increment size.}$ $\textsf{Calculate the exact solution. Round to 4 decimal places.}$ \begin{align*}\displaystyle...

Dear all I want to loading about 14 ton of CMS (Carbon Molecular Sieve) into a PSA Nitrogen Producer tank. The tank is 5 meter tall with 2 m in diameter. What is the best, simplest and fastest method to load the pellet of CMS into that big tank? I consider this mortar screw pump and connect it...

$\tiny{9.1.14}$ $\textsf{Use Euler's method to calculate the first 3 approximations to the given initial value problem for the specified increment size.}\\$ $\textsf{ Calculate the exact solution.}$ $y'=y^2(5+5x), y(1)=-1, dx=0.2$ $y_1=$ $y_1=0.4$ $y_2=0.6268$ $y_3=1.2694$...

Homework Statement Using the circled formula , here's what i gt (photo3) , , why the author ignore the blue circled part ? Is the author wrong ... If the blue part isn't ignored , i gt this pls refer to the photo 3 which is correct ? The author or me ? Or I'm misunderstanding something ...

Hi guys, Just looking for some help with the theory on a project I've been set at university. The experiment involved heating a long thin bar from one end with a sinusoidal heat wave. Thermocouples were then placed every 7 cm (4 in total) and temperatures were recorded. The experiment brief...

Hi, The problem is to solve: dy/dx = −[2x + ln(y)]*(y/x) Attempt: I have tried to see if it is exact, I found it not to be, I can't easily find a function to multiply by to make it exact either (unless I am missing something obvious). It clearly isn't seperable, nor is it homogenous (I know...

Homework Statement A particle P is performing simple harmonic motion with amplitude 0.25m. During each complete oscillation, P moves with a speed that is less than or equal to half of its maximum speed for 4/3 seconds. Find the angular frequency of P The Attempt at a Solution First I split 4/3...

Hello! Can someone explain to me how the double blind method is used in particle physics (especially in LHC)? Thank you!

Is there a book about how to do research in Physics or Physicist's experience? especially in Astrophysics, if not, general physics is also very good. thanks.

Homework Statement In the first photo , interval [-2 ,2 ] means a = -2 , b = 2 , am i right ? So , how to show that b-a = 1 ? Homework EquationsThe Attempt at a Solution IMO , b-a = 2+ 2 = 4 for part b , why b - a = -1-(-2) ? Is there anything wrong with this question ?

Homework Statement why we need to consider 2 conditions , the beam curve downwards ( as in 11-3) and beam curve upwards ( as in 11-4) ? What's the difference between 2 cases ? I notice that in both cases , the author assume clockwise as positive here are the 3 consecutive pages of notes...

Homework Statement In the link at 12:35 , the author show the equation of the displacement of the beam without explaining , can someone try to explain why we need to use 3 Φ , 2EI / L , 2θa and 2θB ? I have no idea at all . Homework EquationsThe Attempt at a Solution

Hello everyone, Looking for a more efficient solution to method 'what', in terms of run-time complexity and space. The method finds the largest cell sequence that the organs sum is divided by 3.(Correct me if I'm wrong) As it seems runtime complexity here is O(n ^ 3). I came to solution of O(n ^...

Homework Statement $$ U_t+U_x+\frac{1}{x} = 0\\ U(x,0)=\phi(x) $$ Homework EquationsThe Attempt at a Solution I learned somewhat of an algorithm for method of characteristics. It works for a different problem : $$U_t + U_x - KU = 0 \\ U(x,0)= \phi(x) \\$$ Method : $$ x_s = 1\\ t_s = 1\\...

Hellow i want to ask about guessing the trial wave function at variational method of approximation usually for example at solving harmonic oscillator or hydrogen atom we have conditions for trial wave function but in fact i want to ask generally how could i make the guessing .. some problems...

Hi I am supposed to find solution of $$xy''+y'+xy=0$$ but i am left with reversing this equation. i am studying solution of a differential equation by series now and I cannot reverse a series in the form of: $$ J(x)=1-\frac{1}{x^2} +\frac{3x^4}{32} - \frac{5x^6}{576} ...$$ $$...

Homework Statement I'll try to be as clear as possible but this exercise is in portuguese and this is a free translation from me "The sum of two numbers is 3.4 .If we take each of them and summed with they square, the product of it would be 18.5856. The lowest of those number is in the interval...

Homework Statement Which algebraic expressions must be solved when you use finite difference approximation to solve the following Possion equation inside of the square : $$U_{xx} + U_{yy}=F(x,y)$$[/B] $$0<x<1$$ $$0<y<1$$ Boundary condition $$U(x,y)=G(x,y)$$ Homework Equations Central...

Below is a conjecture that I can't prove. It was inspired by a math trick for division when the (base 10) denominator ends in the digit 9. Can anyone help me out with a proof? - - - Updated - - - Here is an excell example,

2000 $\tiny{206.q3.2}\\$ $\textsf{3. use the method of integrating factor}\\$ $\textsf{to find the general solution to the first order linear differential equation}\\$ \begin{align} \displaystyle \frac{dy}{dx}+5y=10x \end{align} $\textit{clueless !}$

Homework Statement An infinite line of charge with charge density λ is parallel to and a distance d above an infinite grounded conducting plate. What is the charge density σ that is induced in the plate? For simplicity, consider the line of charge to lie along the line x = 0. Homework...

Homework Statement Compute and plot the compressibility factor (y) verses pressure (x) for the (1) Van der Waal’s (2) Redlich-Kwong and (3) Peng-Robinson equations of state. Compressibility Factor, Z = (P*v)/(R*T); where v is the specific volume (V/v). Data for n-Butane: T = 500 K; Tc = 425.2...

I want to know of any standard method for identifying (and possibly quantifying) the species contained in a solid mixture sample. Thanks in advance!

There is a graph showing n on its x-axis and its total stopping time on its y axis. From here we can see that the points on the graph are not random at all; they have some kind of geometric pattern that is due to the 3x+1 in the odd case and x/2 in the even case. I have seen many attempts to...

this is bairstow's method , i need to put Newton-raphson in a subroutine and i don't know what's wrong i keep getting the wrong answer when i execute please help parameter (np=100) parameter (eps=1e-3) real a(np) ,b(np),c(np) real r ,s ,ri,si integer n,i write(*,*)'n,r,s' read(*,*)n,r,s...

%\section{Newton's Method } %\subsubsection{205.q4.2 } %\footnote{Leeward Community College}method m , $\textsf{a. Use Newton's Method: }$0000 \begin{align} \displaystyle x_{n+1}&=x_n-\frac{f(x_n)}{f'(x_n)} \end{align} $\textsf{b. Use Newton's Method to solve: }$ \begin{align}...

A bird is flying through the air with an air speed of 12.6 m/s heading 27.7° west of north. It is a windy day with the wind blowing at 8.95 m/s heading 12.5° south of west. What is the velocity of the bird as seen by a person on the ground? Note: I keep doing this question but my answer (the...

In my problem the linear modal is defined as the first term in the series expansion of \sin(x) so: \sin(x) = x - \frac{x^{3}}{3!}+\dots \sin(x) = x is the linear modal. So with this, I then have to write \frac{d^{2}x}{dt^{2}} = -\sin(x) as a system of x^{\prime} and y^{\prime}, so...

In my calculus textbook, it shows that a function's solution can be approximated using an approximated function tangent to the original function based on an approximated solution, where the equation to find the approximated is L(x) = f(X0) + f'(X0)*(X-X0), where when rearranged, gives x = Xo -...

Use Newton's Method to approximate a critical number of the function $$\displaystyle f(x) = \frac{1}{2} x^8 + \frac{6}{5} x ^5+ 2 x +10$$ near the point $$ x = 2 $$. Use $$ x_1 = 2 $$ as the initial approximation. Find the next two approximations, x_2 and x_3, to four decimal places each.I...

Homework Statement The question is attached. Homework Equations The Attempt at a Solution I understand that the question would return to a typical conductor problem when ε2 >> ε1 so for the quadrant one, I placed image charges of q_1 at (d1 , 0 , -d2), -q1 at (-d1 , 0 , -d2) and another q1 at...

I have ##\frac{d^2x(t)}{dt^2} + B(x(t))^3 = 0## for a system where I know the initial conditions and where B is a constant that's constructed from the properties of the system. I would like to find ##x(t)##. I've modeled the system in Python and produced some graphs. I know that ##x(t)## is...

Hello everybody, I´m simulating a problem of indentation of a tungsten needle tip on an aluminum layer. Before I was using just the module "Static Structural" from ANSYS, which is based on an implicit solver. Now I wanted to do the same simulation with the module "Explicit Dynamics" of ANSYS...

Hey, guys. We all know power of AC currents is transferred via EM waves, but we seldom use that to calculate power in AC system. The reason for this is wavelength is very long. I want to know if there is really existed a transmission line which is 500km, just the length of EM wavelength, then...

Hi all I am have a problem with this question I have used two method to solve and get two different ans, could someone please point where I am going wrong Homework Statement Five cards are dealt from a standard shuffled deck. What is the probability that: There is at least one card from each...

Hi i have few questions over here and need some expert/pro view with approaching the question. The proving one would be an issue to me as well. Hope people would be able to assist me here , because i am basically struggling with it :( thanks Questions : My Working : No idea how to...

Hello guys I'm struggling a bit with drawing momen/[M_o], to this "frame". I will be using virtual Method. So, could you you have corrected me if it's wrong?

How would you write the vector loops and geometric constraints for this mechanism?

Hi, I'm working on a project of coupled simulation involving MCNP and Fluent, and having trouble with how to apply the pseudo-material method in cross section handling. Is there any related material or tutorial? Or, does anyone know the procedure of applying the method and what kind of files the...

Suppose I want to solve the time-independent Schrödinger equation (ħ2/2m ∂2/∂x2 + V)ψ = Eψ using a numerical approach. I then discretize the equation on a lattice of N points such that x=(x1,x2,...,xN) etc. Finally I approximate the second order derivative with the well known central difference...

$\text{Evaluate answer from }\textit{ TI-Nspire CX CAS}$ \begin{align*} \displaystyle S_k&=\sum_{k=1}^{\infty} \left[\frac{(-2)}{9^{k+1}}\right] =\frac{-2}{99} \\ \end{align*} ok wasn't sure what weapon of choice to use $\tiny{206.10.3.75}$ ☕

Homework Statement Homework EquationsThe Attempt at a Solution Should I find the characteristic equation then find the solution y2? Or just integrate the expression of part (a)?? Part B, just find the derivatives and plug into the ode