quick input of multiple integrals from -infinity to infinity - Maple Programming Help

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Physics[Intc] - quick input of multiple integrals from -infinity to infinity

Calling Sequence

Intc(f, x1, x2, ..., xn)

Parameters

f

-

any algebraic expression; the integrand

x1, x2, ..., xn

-

names representing the integration variables

Description

• 

The Intc command facilitates the input of multiple integrals from  to , frequently used in Physics. The first argument represents the integrand, while the following arguments (one or many) are the integration variables. Note that all integrals built by using Intc use the inert Int instead of int.

Examples

withPhysics:

Setupmathematicalnotation=true

mathematicalnotation=true

(1)

To enter a two dimensional Integral from −1 to , use the following command:

IntcFx1,x2,x1,x2

IntIntFx1,x2,x1=∞..∞,x2=∞..∞

(2)

A typical situation is one in which you want to integrate in a d-volume, where d is the dimension of spacetime. For that purpose, you can either enter all the coordinates as arguments to Intc, or to make the input easier, set an alias for the coordinates, X=x1,x2,x3,x4 (in Physics, the default setting is a Minkowski spacetime with dimension 4 = 3 + 1; you can change this by using Setup), by using the Coordinates command.

CoordinatesX

Default differentiation variables for d_, D_ and dAlembertian are:X=x1,x2,x3,x4

Systems of spacetime coordinates are:X=x1,x2,x3,x4

X

(3)

IntcFX,X

IntIntIntIntFX,x1=∞..∞,x2=∞..∞,x3=∞..∞,x4=∞..∞

(4)

See Also

Coordinates, Physics, Physics conventions, Physics examples, Physics Updates, Tensors - a complete guide, Mini-Course Computer Algebra for Physicists, Setup