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{{Built-in|Root|√}} (<source lang=j inline>%:</source> in [[J]]) is a [[dyadic]] [[scalar function]] that computes the [[wikipedia:nth root|nth root]]; <source lang=apl inline>X√Y</source> is equal to <source lang=apl inline>Y*÷X</source>, the right [[argument]] raised to the [[power]] of the [[reciprocal]] of the left argument. The positioning of arguments resembles the [[Comparison with traditional mathematics#Explicitness|mathematical notation]] <math>\sqrt[x]{y}</math>. Root shares the [[glyph]] <source lang=apl inline>√</source> with the monadic function [[Square Root]], which is the same as Root with the default left argument of 2. Root is defined in [[J]], [[NARS2000]], [[dzaima/APL]], and [[Extended Dyalog APL]].
{{Built-in|Root|√}} (<syntaxhighlight lang=j inline>%:</syntaxhighlight> in [[J]]) is a [[dyadic]] [[scalar function]] that computes the [[wikipedia:nth root|nth root]]; <syntaxhighlight lang=apl inline>X√Y</syntaxhighlight> is equal to <syntaxhighlight lang=apl inline>Y*÷X</syntaxhighlight>, the right [[argument]] raised to the [[power]] of the [[reciprocal]] of the left argument. The positioning of arguments resembles the [[Comparison with traditional mathematics#Explicitness|mathematical notation]] <math>\sqrt[x]{y}</math>. Root shares the [[glyph]] <syntaxhighlight lang=apl inline>√</syntaxhighlight> with the monadic function [[Square Root]], which is the same as Root with the default left argument of 2. Root is defined in [[J]], [[NARS2000]], [[dzaima/APL]], and [[Extended Dyalog APL]].
 
== See also ==
* [[Divide]]
* [[Logarithm]]


== External links ==
== External links ==
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* [http://wiki.nars2000.org/index.php/Root NARS2000]
* [http://wiki.nars2000.org/index.php/Root NARS2000]
* J [https://www.jsoftware.com/help/dictionary/d132.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/percentco#dyadic NuVoc]
* J [https://www.jsoftware.com/help/dictionary/d132.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/percentco#dyadic NuVoc]
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#basic-arithmetic BQN]


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

Latest revision as of 22:10, 10 September 2022

√

Root (√) (%: in J) is a dyadic scalar function that computes the nth root; X√Y is equal to Y*÷X, the right argument raised to the power of the reciprocal of the left argument. The positioning of arguments resembles the mathematical notation . Root shares the glyph √ with the monadic function Square Root, which is the same as Root with the default left argument of 2. Root is defined in J, NARS2000, dzaima/APL, and Extended Dyalog APL.

See also

External links

Documentation


APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
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)
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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