Hi

i know to make an asymptotic expansion one uses asympt(1+x,x); how do you make it go to -infity rather than plus infinity?

How I can omit O() term in a series expansion so that the expansion remains a simpler polynomial only?

I have a function

where mu=-19.89674583,sigma=2.35671007 and k=2.475778082 are parameters

I calculate the integration of s with respect of x on intervals of 

I'm solving a system of ordinary differential equations numerically, I used the dsolve(system,numeric) to do it. I have also plotted the solutions. Now I want to know where does this solution cross zero and use this value for later computations, is there a way to do it? 

This question is, as I think, equivalent to how to find the roots for a curve expressed in numerical arrays.

Thank you!

How to determine the volume of a sphere from its cross-sectional area, if we rotate it with center the diameter?

Gracias

I'm having trouble with the function G:=(n)-> 3 +2n-sum(sum(f(h), a=1..floor(m/2)), m=1..n) with base case G(0):=3, where h:=2a and f(h):=sum('f(2m)*3m, m=1..(h/2 -1).

For G(1), G(2) etc I get "Error, (in type/satisfies) too many levels of recursion" , note f(h) works properly. So I think the error is from the double summation. Any ideas what may be the problem?

Any help would be greatly appreciated.

Hello

I was trying to place the legend of a plot inside of it, and skimming through this site I found a solution based on a textplot, something like this:

plot(loglogplot1, loglogplot2, loglogplot3, loglogplot4): #just the functions to plot

textplot({[placement, 'typeset'(beta=10^-9 ),color=black],[...],[...],[...]}): #just the value of beta changes

plot([placement],x=4..6,color=[black,blue,red,green],linestyle=[solid,dash,dot,dashdot]):

Hi comrades. I am trying to do something like this
plot3d( fsolve( x^2 + a*x + b =0, x), a=0.1..5, b=0.5..3);
(this is not what I'm actually doing, I want to make a 3D plot of a more complicated function that uses fsolve, so don't just suggest the quadratic formula!).

I.e. plot the root of an equation as a function of some parameters in the equation.

It's not plotting because it says
"Error, (in fsolve) {a, b} are in the equation, and are not solved for"

Hello,

I have the following problem:

My function is defined by the determinant of 2 Heun functions

If I plot the phase I get something which looks quite what I'm looking for.

To get a better result I thought I would manually carry out the Wronskian as far as possible...

Doing some manipulations I get another form of the Wronskian which in fact should give the same result...

the problem is it doesnt :-(

I've added the spreadsheet....

In the solution set linked to above, I would like to replace each instance of the constant with ω. I feel that this should be possible with algsubs, but cannot figure out the proper...

Hello,

I am facing the error message "Error, (in factors) Bad inputs to diophant." raised by a call to

factors(p, {I, sqrt(3)}) 

for a polynomial p in 7 variables (with integer coefficients). Unfortunately, the error is not reproducible: After some thousand calls to factors (with different polynomials) this error suddenly occurs.

1. Interestingly, it does not depend on the actual polynomial,...

I know how to solve system of differential equations numerically, but now I want to know how to set a bound on the solutions. 

For example, if my system of DE is like this:   dx/dt = x+y   dy/dt = x-y    , solve x and y in t. 

I can solve this without any restriction on x and y, now I need to know how to bound x and y, e.g. x can only fall in the interval [0,1]

Thank you very much!

Here are two procedures associated with a clock with hands. I think they are interesting not only for fun, but will be useful for teachers in schools in the preparation of such tasks.

The first procedure called  ClockHandsAngle  finds the angle between the hands of the clock at any time.

The second procedure called  TimeFromAngle , for a given angle finds all times in a given time range. The first procedure  is...

Hi, I am trying to do the calculation with a matrix, and I have hard time to find a way to calculate the Moore-Penrose generalized inverse of a matrix in Maple. Could anybody help me?

    A powerful approach to the teaching and learning of mathematics for students of science and engineering has been made practical through the development of powerful general mathematical software, of which Maple provides the least steep learning curve.  Accordingly, it is timely to produce an interactive electronic textbook that, for students of chemistry -- also biochemistry and chemical engineering, has as its objective in part I,
Mathematics for...