IsInteger
Tests if an object is an integer.
Syntax
-
IsInteger(x)-
xis any object
-
Description
IsInteger(x) returns true iff x is an integer. This is the case iff
-
technically, the type of
xis any number type (integer, rational number, real number, or complex number), and -
the value of the number is, mathematically, an integer.
For example, the following statements will evaluate to true:
-
IsInteger(5) // type: integer -
IsInteger(1/3 + 2/3) // type: rational number -
IsInteger(5.0) // type: real number -
IsInteger(2 + i − i) // type: complex number
The following statements will evaluate to false:
-
IsInteger(1/3 + 1/3) // type: rational number -
IsInteger(5.5) // type: real number -
IsInteger(1 + i) // type: complex number -
IsInteger(❨394❩) // type: real vector -
IsInteger(❨❨713❩❩) // type: real matrix -
IsInteger('(687)) // type: list -
IsInteger({49}) // type: set
Examples
f ≔ n ↦ n⋅(n/5 − 1/8)⋅(n/3 − 1/7)
custom function
count(SequenceList(10000) @ f, IsInteger)
188
max(filter(collapse(SequenceList(10000) @ f @ IsInteger), (x ↦ ¬x[1])) @ (x ↦ x[2]))
183
count(SequenceList(10000) @ f, (n ↦ IsInteger(n) ∧ odd(n)))
93
max(filter(collapse(SequenceList(10000) @ f @ (n ↦ IsInteger(n) ∧ odd(n))), (x ↦ ¬x[1])) @ (x ↦ x[2]))
239