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This CD is intended to be compatible with the calculus operations
in Content MathML.
Integration is just for the univariate case and is either definite
or indefinite.
This symbol is used to express the nth-iterated ordinary differentiation of
a unary function. The first argument is n, and the second the unary function.
This symbol is used to express partial differentiation of a function
of more than one variable. It has two arguments, the first is a list
of positive integers which index the variables of the function, the
second is the function.
Application of the symbol should be taken as meaning the first partial
differentiation of the function (the second argument) in each one of
the variables indexed by the list of integers (its first argument).
Example:
An example to represent the equation:
\partial^2{xyz}/ \partial{x}\partial{z} = y
This symbol is used to express the nth-iterated partial
differentiation of a function of more than one variable. It has three
arguments, the first is a list of positive integers which index the variables
of the function, the second is a list of integers which specify the
order of differentiation with respect to the corresponding variable,
the third argument is the function.
Application of the symbol should be taken as meaning the following:
differentiation of the third argument with respect to the variables
indexed by the first argument. The orders of differentiation are
specified by the second argument, in the following manner:
The i'th element of the second argument is the order of
differentiation of the variable indexed by the i'th element of the
first argument.
This symbol is used to represent indefinite integration of unary functions.
The argument is the unary function.
Commented Mathematical property (CMP):
application of integrate followed by differentiate is the identity
function, that is:
lambda x:diff(lambda y:integral(lambda z:f(z))(y))(x) = lambda x:f(x)
This symbol is used to represent definite integration of unary
functions. It takes two arguments; the first being the range (e.g. a
set) of integration, and the second the function.
Commented Mathematical property (CMP):
for all a,b | integral from a to b = -integral from b to a