Element - Π - Product of Array / Cartesian product over list

Characters: Π

Description

Product of Array / Cartesian product over a list of lists

Overloads

• num - binary representation of a (shortcut for bṅ)
• lst[num] - reduce list by multiplication
• lst[str|lst] - reduce list by Cartesian product

Examples

• 3 Π = `11`
• 30 Π = `11110`
• ⟨3|4|5⟩ Π = 60
• ⟨⟩ Π = 1
• ⟨⟨1|2⟩|⟨3⟩|⟨4|5⟩⟩ Π = ⟨⟨1|3|4⟩|⟨1|3|5⟩|⟨2|3|4⟩|⟨2|3|5⟩⟩
• ⟨⟨1|2⟩|⟨3|4⟩|⟨⟩⟩ Π = ⟨⟩
• ⟨`ab`|`cd`⟩ Π = ⟨`ac`|`ad`|`bc`|`bd`⟩
• ⟨`abc`|`def`|`ghi`⟩ Π = ⟨`adg`|`adh`|`adi`|`aeg`|`aeh`|`aei`|`afg`|`afh`|`afi`|`bdg`|`bdh`|`bdi`|`beg`|`beh`|`bei`|`bfg`|`bfh`|`bfi`|`cdg`|`cdh`|`cdi`|`ceg`|`ceh`|`cei`|`cfg`|`cfh`|`cfi`⟩