Infinity: Difference between revisions

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<p>The two infinities are now valid values to be used as the upper and lower numeric limits.  The infinity symbol (<apll>∞</apll>) is entered from the keyboard using the key combination '''Alt-f'''.  The other infinity is obtained from the positive form by preceding it with a negative symbol (<apll>¯∞</apll>).  The underbar symbol (<apll>_</apll>) is an alias for the infinity symbol on entry; however, when displaying a variable that contains an infinity, <apll>∞</apll> is used.</p>   
<p>The two infinities are now valid values to be used as the upper and lower numeric limits.  The infinity symbol (<apll>∞</apll>) is entered from the keyboard using the key combination '''Alt-f'''.  The other infinity is obtained from the positive form by preceding it with a negative symbol (<apll>¯∞</apll>).</p>   


<p>For example,</p>
<p>For example,</p>


<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;⌊/⍬<br />
<apll><pre>
∞</apll><br /><br />
      ⌊/⍬
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;⌈/⍬<br />
∞
¯∞</apll><br /><br />
      ⌈/⍬
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;9*999<br />
¯∞
∞</apll><br /><br />
      9*999
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;÷0<br />
∞
∞</apll><br /><br />
      ÷0
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;÷¯∞ ∞<br />
∞
0 0</apll><br /><br />
      ÷¯∞ ∞
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;¯_ _ ¯∞ ∞<br />
0 0
¯∞ ∞ ¯∞ ∞</apll><br /><br />
      ('&lt;',a),a⍪a∘.&lt;a←¯∞ 0 ∞
<apll>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;¯∞ 0 ∞∘.<¯∞ 0 ∞<br />
  &lt; ¯∞ 0 ∞
&nbsp;0 1 1<br />
¯∞  0 1 1
&nbsp;0 0 1<br />
  0  0 0 1
&nbsp;0 0 0</apll><br />
  ∞  0 0 0
<br />
</pre></apll>


<p><b>There are many cases that need to be examined to see how infinity should behave; this work has yet to be done, so you might notice some anomalous results using infinity.</b></p>
<p>Also, see the description of the system variable [[System Variable IC|<apll>⎕IC</apll>]] (Indeterminate Control) for a way to control how infinity along with other indeterminates are handled.


<p>Also, see the description of the system variable [[System Variable IC|<apll>⎕IC</apll>]] (Indeterminate Control) for a way to control how infinity along with other indeterminates are handled.
 
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Latest revision as of 20:15, 15 April 2018

The two infinities are now valid values to be used as the upper and lower numeric limits. The infinity symbol (∞) is entered from the keyboard using the key combination Alt-f. The other infinity is obtained from the positive form by preceding it with a negative symbol (¯∞).

For example,

      ⌊/⍬
∞
      ⌈/⍬
¯∞
      9*999
∞
      ÷0
∞
      ÷¯∞ ∞
0 0
      ('<',a),a⍪a∘.<a←¯∞ 0 ∞
  < ¯∞ 0 ∞
 ¯∞  0 1 1
  0  0 0 1
  ∞  0 0 0

Also, see the description of the system variable ⎕IC (Indeterminate Control) for a way to control how infinity along with other indeterminates are handled.

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}}

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