Method Definition and 1000 Threads

Hello everyone, I'm struggling with a coupled of matrix equations of the general form: AX + CY = cX BY + DX = cY where A, B, C and D are hermitics square matrices. X, Y and c are the eigenvector and eigenvalue to be found. I'm looking for a method or an algorithm to solve this system by using...

Hi, Can you help me in collecting equations of motion that are unsolvable with elementary methods (especially with high school maths)? One that I found is when I release a body attached to an ideal spring that can freely rotate around an axis. The reason why I need them is because I would like...

Hi, I am trying to solve the problem of finding eigenvalus for a general square symmetric matrix with the QR algorithm. I have understood that this task is much easier if the matrix is in an Hessemberg form, so I have implemented a function that does that with the Housholder method, but I can't...

Hi, I'm just curious because I know wifi uses digital FFT to send and receive signals. (I can't really remember why) But when I imagine a signal being sent its like a squiggily wave, so what method does the reciever use to approximate the instantanious values of the signal into a mathematical...

our maths teacher asked us that we all use the long division method to find square roots or cube roots. The question is, why do we do it that way, i.e. taking one or two nos. from the starting, doubling the divisor and all the steps(i guess everyone knows that). can anyone please help me and...

In the gas industry you often need to know the installation volume of a system, i.e. the amount of gas it contains in the pipework, fitting and meters. If part of the installation is buried or inaccessible this is difficult to estimate. My concept is to estimate installation volume by...

I am really confused that the whole process of the method of image. Suppose I have the + q near the infinite conducting plane which is grounded. My first question is: Is the conducting plane grounded before putting the +q or after putting the +q then grounded? The first question would lead to...

Homework Statement Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation which contains that force as the only unknown. The forces are positive if in tension, negative if in compression. Homework Equations Sum of forces and moments equal zero. The...

The problem: Let the five numbers 2,3,5,9,10 come from the uniform distribution on [$\alpha$,$\beta$]. Find the method of moments estimates for $\alpha$ and $\beta$ . I am trying to wrap my head around the idea behind estimates of moments. From what I understand, the first moment is the mean...

I constructed my code of the Angular Spectrum Method. However, as the distance between the object and the plane of interest increases, the diffraction pattern never disappears; there is still some sort of a diffraction pattern, and I am expecting that it disappears as distance increases. Here...

Homework Statement Determine the forces in members BC and CG. The forces are positive if in tension, negative if in compression.[/B] Homework Equations ΣF=0 ΣM=0 The Attempt at a Solution I don't know where I am going wrong, My equations include the applied force, since there is only one.

Homework Statement Determine the forces in members BC and CG. The forces are positive if in tension, negative if in compression. Homework Equations ΣF=0 ΣM=0 The Attempt at a Solution im not sure what I am doing wrong here, i think it might be my angle θ? I got 3.66N tension as my answer but...

Homework Statement Using the method of contradiction prove the following. There's no real number x such that |x-2|+|x-3|=1/2 Homework EquationsThe Attempt at a Solution I can see that the least possible value that LHS can take is 1. That is when x=2.5 which is the middle value of 2 and 3...

Hello, I am trying to solve the following simple diffusion equation using the method of lines: du/dt=D(du2/dx2)function k=func1() k = [0, 0, 0, 0, 0, 0, 0.4380, 0, 1e5]; %k(9) initial value of the molecules end %k(7) D/dx2 function...

I was told to do a Fourier transform of function by using a Filon's method. I have found the code but I don't know how to include any function to the subroutine. I would be grateful for any example of how to use this code. SUBROUTINE FILONC ( DT, DOM, NMAX, C, CHAT ) C...

Let a be a lowering operator and a† be a raising operator. Prove that a((a†)^n) = n (a†)^(n-1) Professor suggested to use induction method with formula: ((a†)(a) + [a,a†]) (a†)^(n-1) But before start applying induction method, I would like to know where the given formula comes from. Someone...

Homework Statement Use the variation method to find a approximately value on the ground state energy at the one dimensional harmonic oscillator, H = -ħ^2/(2m) * d^2/dx^2 + 1/2mω^2*x^2 Homework Equations H = -ħ^2/(2m) * d^2/dx^2 + 1/2mω^2*x^2 u(x) = Nexp(-ax^2) <H> = <u|Hu> The Attempt at a...

If sea water is confined in a vacuum of 600 Pascal pressure it will boil and cool until ice forms. There are several problems designing a system using this process. But, when all the engineering is done and a practical system is developed this method will produce potable water from seawater far...

I have three questions regarding Newton's method. https://en.m.wikipedia.org/wiki/Newton-Raphson#Failure_of_the_method_to_converge_to_the_root According to this wikipedia article, "if the first derivative is not well behaved in the neighborhood of a particular root, the method may overshoot, and...

Hello! (Wave) Consider a nonuniform partition $a=t_0< t_1< \dots < t_{\nu}=b$ and assume that if $h_n=t^{n+1}-t^n, 0 \leq n \leq N-1 $ is the changeable step, then $\min_{n} h_n > \lambda \max_{n} h_n, \lambda>0$ independent of $n$. Show a bound of the error of Euler method analogous to...

Hello everyone, I am curious as to if it is possible to use the Euler Method to solve the gravity differential equations? Would the approximations quickly diverge to inaccurate solutions, or would it stay relatively reliable? Thanks

Hi all, First time post, long time lurker, sorry if this is in the wrong section. I am currently looking at a project that requires a large solar panel array onto a very tight roof area; maximising space is therefore important. Thus, keeping the panels as close together is important. I have a...

I have a byte array (each character consumes 4 bytes) of size 64 for example, Now I decode it using byte[] bytes={'z','\0','\0','\0','ý','\0','\0','\0','ó','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0','\0',...}; string...

I have some ugly c-code that was generated from Mathematica in years past with CForm, and looks like : (PolyLog (2,(-1 + t)*pow (-1 + q2h,-1))*pow (q2h - t,-1)*pow (-1 + \ t,-1)* (-8*pow (q2h,3)*pow (t,2) + pow (q2h,4)*(1 + pow (t,2)) - 8*q2h*pow (t,3)*(-3 + 8*t - 5*pow (t,2) +...

Look, I was wondering if substituting the variable more than once is valid and hence the definite integral intervals change this way. Consider the following integral (I'm working for finding the volume of a solid of revolution): *\pi \int_{-3}^{5}3^{2}-(\sqrt{\frac{y+3}{2}}+1)^2dy Personally I...

The sequence that I'm working with is sort of monotonic. It's monotonic most of the time, sometimes there's one number that ruins the trend like 0.0001001 in 0.1, 0.01, 0.001, 0.0001001, 0.0001, ... but those are very rare. Btw, the sequence above is just an example. Is Richardson...

Homework Statement In Ruchhardt’s method of measuring ##\gamma##, illustrated in Fig. 12.2, a ball of mass ##m## is placed snugly inside a tube (cross-sectional area ##A##) connected to a container of gas (volume ##V##). The pressure ##p## of the gas inside the container is slightly greater...

Can anybody suggest good resources for me to learn about the method of lines? I have budget to buy textbooks. The boss has received a "request for proposal" from a client with deep pockets. That means they want us to submit a bid for a contract. The client wants us to apply the method of lines...

Are the results of the Angular Spectrum Method and the Fourier Transform of a Fresnel Diffraction be different, or the same? Given the same distance between the input and output plane, and the same aperture.

suppose a side of an equation : 26q+1 , and i want the least positive integer value for q that makes this side of equation divisible by 7, is there any short method to do this ?

Hi I was just curious if this method of solving whether or not two spheres intersect is a viable method that will give me the correct answer. Say if I am given the two equations of the sphere's is it viable to: Find the centre and radius of each sphere. Find the magnitude of the distance of...

##a_1=1## ##a_{n+1}=\frac{1}{2} ( a_{n} + \frac{b}{a_n} )## This should converge to ##\sqrt{b}## but I seem not to be able to prove this. Could someone give me a hint.

Homework Statement : Using the method of characteristics, say if the problem does have a solution; if it does, is the solution unique? [/B] Homework Equations dt=(u^2)dx; The Attempt at a Solution from the formula above follows dt/dx=u^2; then how am I supposed to find and use characteristics?

I'm curious if there is a heuristic or method to determine the inner and outer radii as used in the Washer Method, WITHOUT needing to graph anything?

I would appreciate any and all feedback regarding this document currently housed in Google docs. Basically, I generalize induction among natural numbers to an extreme in an environment regarding what I call grammatical systems. Then an induction principle is derived from that which holds in...

Homework Statement Isothermal process![/B] I have a cylinder with base area of 0.01m^2. I have a piston that is 0.1 meters from the bottom giving a volume of 0.001m^3. I have a weight of 1500 Newtons. This gives a pressure of 1.5E5 Pa. Now, I remove 500 Newtons and the piston moves upwards...

Can anyone show me how to solve the 3D diffusion equation which has been modeled into FDM by using matlab?

The title of the project is as follows: A study of the effect of imperfections on the buckling capability of a soda can under axial loading. My group and I are aiming to carry out the following: Linear buckling analysis of soda can to gain first 5 eigenvalues Riks buckling analysis with...

Hello, and thank you for your time. I observed a wire vibrating is good at blocking things trying to pass through their area. for example a rope spinning around can stop a tennis ball thrown through that area. obviously the speed of the rope allows it to "protect" an larger area than its gauge...

Homework Statement Hello all, I have a quick question, I'm solving a d.e using the Frobenius method and I have the indicial equation: C1(2r-1)(r-1)+C2x(r)(2r+1)=0 Where c1 and c2 are arbitrary constants not equal to zero. Homework EquationsThe Attempt at a Solution My question is, what are...

Homework Statement Hi there, I wish to use Newton's Laws in conjunction with Euler's Method to model the motion of a planet around a star.Homework Equations 2nd Law F = m*a Law of Universal Gravitation F = -G*M1*M2/r^2 The Attempt at a Solution [/B] First I combined the two laws above...

I was going through pole changing methods , when I was studying this given figure , I am quite confused in it.. in the text a1a1' & a2a2' are considered as 2 separate coils & it is assumed that both coils are carrying clockwise current , then what that "dot" & "cross" denoting?? Is it the...

Homework Statement Homework Equations dB = (μI/4π)(dLsinθ/r^2) The Attempt at a Solution the flat edges of the loop will not contribute to the magnetic field because sinθ = . Only the curved outer loop with radius I will call r2 and length L2 and inner loop with radius r1 and length L1...

Hello! (Wave) I want to find the solution of the problem $$(t+u(x,t))u_x(x,t)+tu_t(x,t)=x-t, x \in \mathbb{R}, t>1,$$ $$u(x,1)=1+x$$ using the method of characteristics. That's what I have tried: $$(x(0),t(0))=(x_0,1)$$We are looking for a curve $(x(s),y(s)), s \in \mathbb{R}$ such that...

Hey guys, quick question. Is the modulation scheme described here (Armstrong's Phase Modulation) simply wide band FM? This Wikipedia article lists the following patent for Ed Armstrong for "Armstrong's Phase Method" and "Wideband FM" 1933 Patent: http://www.google.com/patents/US1941068

kindly help me with a detailed explanation?

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] So this is the problem Here is the question: A 32lb weight strecthes a spring 2ft.The weight is released from rest at the equilibrium position. beginning at t=0, a force equal to f(t)= sint...

hello there, i just want to ask some questions related to PID controller. currently, i have run zumo robot to detect line by using PID controller approach ziegler nichols method..however, by testing P,PI, and PID, P gives the most accurate when zumo follows the line..which is better actually? P...

Hello, I am wondering what the purpose of the Ponchon Savarit method is for determining the theoretical number of stages using an enthalpy-concentration diagram. From what I am seeing, the method requires using a xy diagram with the equilibrium curve. Isn't it superfluous to use the H-x diagram...

Hi, I have been trying to find an integral ## \int_{-\infty}^{+\infty} \frac{ e^{-\sqrt{(x^2 + 1)}}}{(x^2 + 1)^2} dx ##. I initially posted this question in the complex analysis forum since I felt it might be done using contour integration. However now I realize it might not be the best way...