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Miraheze>Marshall (Created page with "'''Zilde''' is the empty numeric vector. It is the shape of any scalar, although its own shape is <source lang=apl inline>,0</source> (Zilde's shape cannot...") |
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''' | {{Built-in|Zilde|⍬}} or '''Zero-tilde''' (which the common name is a portmanteau of), is the [[empty]] [[numeric]] [[vector]]. It is the [[shape]] of any [[scalar]], although its own shape is <source lang=apl inline>,0</source>. This is because, as a vector, it has exactly one [[axis]], and this axis has length 0. Zilde is equivalent to <source lang=apl inline>⍳0</source> and <source lang=apl inline>⍴0</source> and <source lang=apl inline>0⍴0</source>. Being [[numeric]], Zilde's [[prototype]] is 0. | ||
Zilde is notable for being | Zilde is notable for being an APL [[glyph]] which represents an array rather than a [[primitive function]] or [[primitive operator]]. In most APLs it is the only array literal which is produced using its own token rather than being part of a family of array literals like [[numeric literal]]s, [[string]]s, or [[system constant]]s (an exception is [[SHARP APL]]'s [[nil]] (<source lang=apl inline>∘</source>), which is the same as <source lang=apl inline>⊂⍬</source>). | ||
It should be noted that the empty numeric vector (<source lang=apl inline>⍬</source>) is distinct from the empty character vector (<source lang=apl inline>''</source>) even though they have the same shape and the same elements: | |||
<source lang=apl> | |||
∧/⍬='' | |||
1 | |||
⍬≡'' | |||
0 | |||
</source> | |||
This is because <source lang=apl inline>⍬=''</source> itself returns an empty numeric vector, and reducing an empty vector with the [[Logical And]] function (<source lang=apl inline>∧</source>) yields the [[identity element]] of Logical And, which is 1. However, [[match]] takes [[empty]] array [[prototype]]s into account as well as shapes and elements, so it indicates that the arrays are different. | |||
{{APL built-ins}} | {{APL built-ins}} | ||