∞ — Infinity

Literal. Keys: Alt-8

∞ and ¯∞ are approximate real infinities.

∞+3                ⍝ ∞
3÷∞                ⍝ 0
⌊/⍬                ⍝ ∞
⌈/⍬                ⍝ ¯∞

¯∞ < every finite real < ∞. Each infinity equals itself. Empty min/max identities are infinite even for exact arrays. As IEEE 754 defines, an undefined result with an infinity is NaN:

∞-∞                ⍝ $n
0×∞                ⍝ $n

Infinities and NaN covers how infinities combine with exact numbers.

Errors

  • DOMAIN: an infinite index or count