User's Manual

416 Functions and commands
simult Returns the solution to a system of linear equations or several
systems of linear equations presented in matrix form. In the
case of one system of linear equations, takes a matrix of
coefficients and a column matrix of constants, and returns the
column matrix of the solution.
simult(Matrix1, Matrix2)
Example:
simult returns
sincos Returns an expression with the complex exponentials rewritten
in terms of sin and cos.
sincos(Expr)
Example:
sincos(exp(i*x)) gives cos(x)+(i)*sin(x)
spline Given two lists or vectors (one for the x-values and one for the
y-values), as well as a variable and an integer degree, returns
the natural spline through the points given by the two lists. The
polynomials in the spline are in terms of the given variable and
are of the given degree.
spline(ListX, ListY, Var, Integer) or
spline(VectorX, VectorY, Var, Integer)
Example:
spline({0,1,2},{1,3,0},x,3) returns
sqrt Returns the square root of an expression.
sqrt(Expr)
Example:
sqrt(50) gives 5*sqrt(2)
stddev Returns the standard deviation of the elements of a list or a list
of the standard deviations of the columns of a matrix. The
optional second list is a list of weights.
stddev(List1, [List2]) or
stddev(Vector1, [Vector2]) or stddev(Matrix.
Example:
stddev({1,2,3}) returns
31
32
2–
2




2–
4
5–
4
------
x
3

13
4
-------
x 1
5
4
---
x 1–
3

15–
4
----------
x 1–
2
1
2
---
x 1–– 3+++ +
6
3
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