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Science Forum Index » Math - Symbolic Forum » A set of three new Maple routines...
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 Posted: Sat May 10, 2008 12:01 pm |
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This set of three new Maple routines can be downloaded from
http://myweb.tiscali.co.uk/maplenut. This is what it comprises:
IntRange:
IntRange can split 'Int' type functions into different areas, and
combine different functions with different ranges, to produce a single
definite integral. Specifically:
* Given an integral and a range, IntRange returns a new integral and
range.
* Given a list of integrals and a range, IntRange returns a combined
integral with the given range.
* Given an integral and a list of points that can include one or both
endpoints, IntRange returns a single definite integral containing the
sum of positive and negative values.
* If an empty list of points [ ] exists, IntRange uses the zeros
program below to create a list of points.
zeros: functions and polynomials
The function zeros(f(x), x = a .. b) returns all the points where f(x)
is zero in the interval [a, b] as a list of real values. You will need
to increase digits by 2 or more if values are missing.
hermite: interpolation
The function hermite uses hermite interpolation and computes the
polynomial of degree less than or equal to 2n-1 in the variable x that
interpolates the list of values:
[x[1],x[2],...x[n]], [y[1],y[2],...y[n]], [dy/dx[1],dy/dx[2],...dy/
dx[n]].
All the independent values must be distinct otherwise an error occurs.
Please leave feedback! Thanks!
John Maplenut |
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