Infinity: Difference between revisions

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(New page: <p>The two infinities are now valid values to be used as numeric limits. The infinity symbol (<apll>∞</apll>) is entered from the keyboard using the key combination '''Alt-f'''. The ot...)
 
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<p>The two infinities are now valid values to be used as 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 the 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>


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


<p>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.</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 19:15, 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.

NARS 2000 Lang
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Bar 		← → + - × ÷ * ⍟ ⌹ ○ ! ? √ | ⌈ ⌊ ⊥ ⊤ ⊣ ⊢
≡ ≢ < ≤ = ≥ > ≠ ∨ ∧ ⍱ ⍲ ↑ ↓ ⊂ ⊃ ⌷ ⍋ ⍒
⍳ ∊ ⍸ ⍷ ∪ ∩ ⊆ ⊇ ~ § π .. , ⍪ ⍴ ⌽ ⊖ ⍉
/ \ ⌿ ⍀ ⊙ ¨ ⍨ ⍤ ⍣ ⍡ ⍥ ⍦ . ∘ ⍠ ‼ ⌻ ∂ ∫ ⍞ ⎕ ⍎ ⍕
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