FORMULA LANGUAGE


Operations on lists
Operations on lists are of two types:
If an operation occurs on a list and a non-list value, the non-list value is paired with each element in the list.

The table below shows the pair-wise and permutation operators.
Pair-wise operatorPermutation operatorMeaning
***Multiplication
/*/Division
+*+Addition
-*-Subtraction
>*>Greater than
<*<Less than
>=*>=Greater than or equal to
<=*<=Less than or equal to
=*=Equal
!=*!=Not equal
The table below shows how pair-wise and permutation operators differ.
OperationStatementYields
Concatenation, pair-wise"A":"B":"C"+"1":"2":"3"

"A":"B":"C"+"1":"2"

"A":"B":"C"+"1"

"A1":"B2":"C3"

"A1":"B2":"C2"

"A1":"B1":C1"

Concatenation, permutation"A":"B":"C"*+"1":"2":"3"

"A":"B":"C"*+"1":"2"

"A1":"A2":"A3":"B1":"B2":"B3":"C1":"C2":"C3"

"A1":"A2":"B1":"B2":"C1":"C2"

Addition, pair-wise1:2:3+10:20:30

1:2:3+10:20

1:2:3+10

11:22:33

11:22:23

11:12:13

Addition, permutation1:2:3*+10:20:30

1:2:3*+10:20

11:21:31:12:22:32:13:23:33

11:21:12:22:13:23

Text equality, pair-wise"A":"B":"C"="B":"C":"A"

"A":"B":"C"="B":"C"

"B":"B":"C"="B":"C"

0 False

1 True

1

Text equality, permutation"A":"B":"C"*="B":"C":"A"

"A":"B":"C"*="B":"C"

"B":"B":"C"*="D":"E"

1

1

0

Number equality, pair-wise1:2:3=2:3:1

1:2:3=2:3

2:3:3=2:3

2:3:3=3:1

0

1

1

0

Number equality, permutation1:2:3*=2:3:1

1:2:3*=2:3

1:2:3*=4:5

1

1

0

Date equality, pair-wise[1-1-90]:[2-2-90]:[3-3-90]=

[3-3-90]:[2-2-90]:[1-1-90]

[1-1-90]:[2-2-90]:[3-3-90]=

[2-2-90]:[3-3-90]

[2-2-90]:[3-3-90]:[3-3-90]=

[2-2-90]:[3-3-90]

1

1

1

Date equality, permutation[1-1-90]:[2-2-90]:[3-3-90]*=

[3-3-90]:[2-2-90]:[1-1-90]

[1-1-90]:[2-2-90]:[3-3-90]*=

[2-2-90]:[3-3-90]

[1-1-90]:[2-2-90]:[3-3-90]*=

[4-4-90]:[5-5-90]

1

1

0