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{{Built-in|Not Equal to|<nowiki>≠</nowiki>}} is a [[comparison function]] which tests whether argument elements are [[Tolerant comparison|tolerantly]] unequal. It is the [[Not|negation]] of [[Equal to]] (<syntaxhighlight lang=apl inline>=</syntaxhighlight>). Thus it returns 0 if the [[element]]s being compared [[match]] and 1 if they do not.
{{Built-in|Not Equal to|<nowiki>≠</nowiki>}} is a [[comparison function]] which tests whether argument elements are tolerantly<ref>[[Robert Bernecky|Bernecky, Robert]]. [https://www.jsoftware.com/papers/satn23.htm "Comparison Tolerance"]. Sharp APL Technical Notes. 1977-06-10;.</ref> unequal. It is the [[Not|negation]] of [[Equal to]] (<syntaxhighlight lang=apl inline>=</syntaxhighlight>). Thus it returns 0 if the [[element]]s being compared [[match]] and 1 if they do not.
 


== Examples ==
== Examples ==
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* J [http://www.jsoftware.com/help/dictionary/d222.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/tildeco#dyadic NuVoc]
* J [http://www.jsoftware.com/help/dictionary/d222.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/tildeco#dyadic NuVoc]
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#comparisons BQN]
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#comparisons BQN]
== References ==
<references />


{{APL built-ins}}[[Category:Primitive functions]][[Category:Comparison functions]]
{{APL built-ins}}[[Category:Primitive functions]][[Category:Comparison functions]]

Latest revision as of 21:57, 28 November 2022

≠

Not Equal to (≠) is a comparison function which tests whether argument elements are tolerantly[1] unequal. It is the negation of Equal to (=). Thus it returns 0 if the elements being compared match and 1 if they do not.


Examples

See Equal to for a more detailed treatment of equality testing. 

      2 2.5 3 3.5 ≠ 2.5
1 0 1 1

Boolean function

When the arguments to Not Equal to are Boolean, it is the exclusive or or xor function:

≠ 0 1
0 0 1
1 1 0

Xor is one of the most important Boolean functions because it is equivalent to addition of the arguments with modulus 2. Like addition, it is commutative and associative. It is also equivalent to subtraction with modulus 2 because the negative of a number is the same as the original number (mod 2): the negative of an odd number is still odd, and the negative of an even number is still even.

Reduction of a Boolean vector using Not Equal to yields 1 if there were an odd number of 1s in the argument and 0 otherwise. In APL, if v is a Boolean vector then ≠/v 2|+/v.

External links

Documentation

References

  1. ↑ Bernecky, Robert. "Comparison Tolerance". Sharp APL Technical Notes. 1977-06-10;.


APL built-ins [edit]
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Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
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Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
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Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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