Commute-Duplicate: Difference between revisions

Latest revision as of 18:41, 15 April 2018

Duplicate: Z←f⍨ R

returns R f R.

Commute: Z←L f⍨ R

returns R f L.

L and R are arrays.

f is a function.

For example:

      ×⍨⍳5 ⍝ squares
1 4 9 16 25
      ∘.=⍨⍳4 ⍝ Identity matrix
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

      2*⍨⍳5 ⍝ squares
1 4 9 16 25
      √+/2*⍨6 2⍴3 4, 5 12, 8 15, 7 24, 20 21, 12 35 ⍝ Pythagorean hypotenuses
5 13 17 25 29 37

@@ Line 37: / Line 37: @@
 <p>For example:</p>
-<apll>
+<apll><pre>
-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;×⍨⍳5 ⍝ squares <br/>
+      ×⍨⍳5 ⍝ squares
-4 9 16 25<br/>
+4 9 16 25
-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;∘.=⍨⍳4 ⍝ Identity matrix<br />
+      ∘.=⍨⍳4 ⍝ Identity matrix
-0 0 0<br />
+0 0 0
-1 0 0<br />
+1 0 0
-0 1 0<br />
+0 1 0
-0 0 1<br />
+0 0 1
-</apll>
+</pre></apll>
-<apll>
+<apll><pre>
-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2*⍨⍳5 ⍝ squares <br/>
+*⍨⍳5 ⍝ squares
-4 9 16 25<br/>
+4 9 16 25
-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;√+/2*⍨6 2⍴3 4, 5 12, 8 15, 7 24, 20 21, 12 35 ⍝ Pythagorean hypotenuses<br />
+      √+/2*⍨6 2⍴3 4, 5 12, 8 15, 7 24, 20 21, 12 35 ⍝ Pythagorean hypotenuses
-13 17 25 29 37<br />
+13 17 25 29 37
-</apll>
+</pre></apll>