Solution to system of linear equations...

The attached file is an example of a set of equations that define a gearbox composed of 4 planetary gearsets. The first 4 equations are the kinematic constraints. Where "r" indicates the size the sun or ring gear and "w" is the speed of the sun, ring, or carrier. The next 4 equations simply define new parameters (R_n) for the ratio between the size of the ring and sun gears. The last 5 equations define how these gears are connected. My question is how can I (or is it possible) to complete this worksheet in a generic way to solve for the speeds of any of the nodes in terms of some defined list of nodes and the parameterized gearbox sizes? In this example, there are 3 degrees of freedom so I might wish to solve for w[R3] (a dependent variable) in terms of w[R1], w[S2], w[S4] (independent variables), and all the parameters. The generic part comes from needing to be able to change the last 5 equations (including adding or subtracting equations) and perhaps the list of dependent and independent variables.

openmaple java api with webobjects and xcode on...

by: Maple
Does anyone know how to get the openmaple api to compile in the presence of the package com.webobjects .foundation?

Maple Challenge 2...

I have been trying to solve a larger problem (recovering data from blurred photos) and i have hit a snag. Consider an area in the plane, for example a circle with radius r=1 and centre C defined by some parametric equation, fx C=(t,0). This would give us an area A defined by (x-t)^2+y^2 <>. My aim is to construct a function f(x,y), where the value of f for any point (x,y) is equal to the range of t-values for which the point is inside the circle, with t being in the interval from 0 to T. I would really like som help in finding a method for finding f(x,y). The aim of this function would be to calculate how the image data from any single pixel would be spread over other pixels due to camera shake, with the camera shake being given by the parametric equation for C.

Fourier expansion of trigonometric function...

Hi guys, we've got a Fourier transform problem here. This is how we calculate Fourier coefficient: 4/pi*int(cos(3*x)*cos(n*x), x=0..Pi/2) (we try to expand cos(3*x)) so here we got the answer 12*cos((1/2)*Pi*n)/(Pi*(-9+n^2)) correcr answer, you see, is B3=1; but when we write this: 4/pi*int(cos(3*x)*cos(n*x), x=0..(1/2)*Pi)assuming n=3 the result shown is zero. we don't know how it works. because this value is evaluating correctly: 4/Pi*int(cos(3*x)*cos(3*x), x=0..(1/2)*Pi) the answer is right - 1.

How can I set the domain and the codomain of my x?...

I'm pretty new here, in maple and I think I'm not very good in math too but I would like to discover how to limit or set the domain of my x. Example: sin(x); I would like to set the type of the x to N (natural) and the type resulting to R (real). But after hours and hours of searches on google I subscribed to ask this to you, gentlemen :P Thank you everyone

Assume on list of variables...

Hi, I am interested in making the assumption T[0]<><><><><>

Modéliser vol fusée à eau...

Bonjour, Je voudrais modéliser le vol d'une fusée à eau sous maple 11, je n sais pas par ou commencer. Merci d'avance pour votre aide.

Reminder Of Upcoming Webinars

by: Maple
Just a friendly reminder, Regards, Introduction to Maple 11 Tuesday, January 8, 2008 2:00 pm EST. Register here. In this one-hour demonstration and Q & A forum you will learn about Maple 11’s smart-document user interface, enhanced mathematical power, and increased connectivity to other tools; all of which will dramatically improve your mathematical and technical problem-solving capabilities. Introduction to Maple T.A. 3.0 Tuesday, January 15, 2008 2:00 pm EST. Register here. Focusing on ease of use, this release contains an enriched authoring environment, a brand-new Gradebook, and additional authentication and administration features.

How to Make Your Plots Zoom

by: Maple
Have you ever plotted a function in Maple and then found that the range you plotted it on wasn't really what you wanted? You can always re-execute the command, of course, but that means working out exactly what the range is for that interesting feature you want to investigate, and if you've made changes to the plot those will be lost. However Maple has the ability to zoom in on a plot interactively, without re-executing the command. The Axis Properties dialog lets you change the range numerically, but you can also do so using the mouse. Go to the plot toolbar and click on the Scale plot axes button (it looks like a red ball with an arrow). If you have an animation you will need to click on the word "plot" above the toolbar to switch from animation to plot toolbar. Now put the mouse in the middle of the plot and drag it. Dragging it down will zoom out, increasing the range; dragging it up will zoom in. The Translate plot axes button lets you 'pan' i.e. move the centre of the axis ranges without changing the range size.

Express simultaneous equations in matrix form...

Hi, I am trying to create a sheet to show the derivation of 2nd and 4th-order function derivatives as part of a 5-point finite difference scheme for a 1-D model (a continuous beam on an irregular foundation). I have isolated 2 simultaneous equations by using Taylor polynomials and would like to cast these in matrix form and then solve for each of the D-operators symbolically. Is there a simple way to do this or do I have to work with the ops manually? thanks for any help, Neil

sqrt(4)=?...

I have difficulties understanding why exactly Maple finds the question difficult to answer. First attempt: assume(a>0); a:=sqrt(b^2); eval(a, b=2); (1/2) / 2\ a := \b / (1/2) 4 I suppose the problem is that after the assignment Maple forgets the assumption a>0(?). Is there a way to make _real_ assumptions on variables, which Maple will not forget and possibly warn me if I try to violate?

ODEs with pertuabutions at specific time points....

Dear All, I have two odes, dX/dt = -X(t)*Y(t) and dY(t)/dt = X(t)*Y(t) I can solve these numerically using the following code: ```eq_1:=diff(X(t), t)=-X(t)*Y(t); eq_2:=diff(Y(t),t)=X(t)*Y(t); IC:={eq_1, eq_2,X(0)=10,Y(0)=1}; F:=dsolve(IC, {X(t),Y(t)},type=numeric, method=rosenbrock); h := theta->eval(X(t),F(theta)); h(1);``` However, I would like to add perturbations at specific time points. For example, at t=10, set X=5, or at t=15, Y=0. How should I do this in maple? Note: my actual situation involves a 100 odes. Thanks, Colin