Star Diaeresis

Star Diaeresis is a Dyadic operator with an ambivalent left operand and an integer or dyadic right operand

Operator Star Diaeresis means

Power Operator

     (↓⍣1)  2 2 2 2⍴⎕a                      ⍝ split once.
 AB  CD 
 EF  GH 
        
 IJ  KL 
 MN  OP 

      (↓⍣2)  2 2 2 2⍴⎕a                     ⍝ split twice.
  AB  CD    EF  GH  
  IJ  KL    MN  OP  

      (↓⍣3)  2 2 2 2⍴⎕a                     ⍝ split thrice
   AB  CD    EF  GH      IJ  KL    MN  OP   
    
      1+∘÷⍣=1                               ⍝ Golden Mean
1.618033989

      f←(32∘+)∘(×∘1.8)                      ⍝ Fahrenheit from Celsius

      f ¯273 ¯40 0 100
¯459.4 ¯40 32 212

      c←f⍣¯1                                ⍝ inverse: Celsius from Fahrenheit

      c ¯459.4 ¯40 32 212
¯273 ¯40 0 100

Language Elements