infinity
-- infinityinfinity
represents the infinite point on the positive
real semi-axis.
infinity
is an element of the domain
stdlib::Infinity
. It may be used in arithmetical
operations. Some system functions accept infinity
as a
parameter or return it as a result.infinity
can be used in arithmetical
operations with real numbers:
>> 7*infinity + 3, -3.0*infinity, 1/infinity, infinity*infinity, infinity^2, sqrt(infinity)
infinity, -infinity, 0, infinity, infinity, infinity
Arithmetic with complex numbers or symbolic objects yields symbolic expressions:
>> I*infinity + b
b + I infinity
The arithmetic responds to properties:
>> assume(a > 0): a*infinity
infinity
>> assume(a < 0): a*infinity
-infinity
>> unassume(a): a*infinity
a infinity
Cancellation of infinities yields undefined
:
>> infinity - infinity, infinity/infinity
undefined, undefined
Some system functions accept infinity
as a
parameter or return it as result:
>> exp(infinity), sum(1/n, n = 1..infinity), int(exp(-x^2), x = -infinity..infinity), limit(x, x = infinity)
1/2 infinity, infinity, PI , infinity