By Shaw J.E.H.
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Extra resources for Warwick guide to J
Example text
Monadic %. (matrix inverse ) has rank 2 each 2-cell of y. 3). However, if y. is a nonzero vector then %. e. returns the vector (y. ), which lies parallel to y. s length. 4. Monadic $ (shape of ) has unbounded rank (_), so returns the shape of y. as a whole. , in a frame of shape (;k }. ). 42 CHAPTER 2. 3. J GRAMMAR A=. 3 2 2$ 1 0 0 1 3 1 5 5 3 4 2 6 xrs 'A' '%:A' '#. "1 A' A %:A #. 15 3 2 3 2 2 3 2 2 '$"1 A' 2 2 2 2 2 2 3 3 2 3 2 1 A dyadic verb V has both a left rank k1 and a right rank k2 , speci ed by V "k1 k2 .
39 CHAPTER 2. 3. J GRAMMAR y=. 3 1 4 1 5 9 2 6 5 3 5 3 <\ y NB. /)\ y 3 1 4 5 5 6 5 5 5 diff=. 2: -/\ ] diff y 2 _3 3 _4 _4 7 _4 1 2 _2 3 - +/\ diff y 1 4 1 5 9 2 6 5 3 5 _3 <\ y NB. running averages of length 5 NB. ) NB. successive difference NB. non-overlapping infixes (-ve right argument) 3 1 4 1 5 9 2 6 5 3 5 Omitting an in x from y. leaves an out x , and dyadic \. (out x ) acts on out xes analogously to the way that dyadic \ acts on in xes: y=. 3 1 4 1 5 9 2 6 5 3 5 6 <\. y 2 6 5 3 5 3 6 5 3 5 3 1 5 3 5 3 1 4 3 5 3 1 4 1 5 3 1 4 1 5 _3 <\.
Thus there is an implicit `of' (or `the result of') between successive verbs in a long expression. For example, n log log n, and the corresponding J expression n * ^. ^. n, can be read as `n times the result of log of the result of log of n'. Similarly, 1x1 - +/ % ! i. n is evaluated in the order shown below: i. 5 NB. first 5 non-negative integers 0 1 2 3 4 ! i. 5 NB. factorials of previous result 1 1 2 6 24 % ! i. 5 NB. 04166667 +/ % ! i. 5 NB. 70833 1x1 - +/ % ! i. 5 NB. 009948495 1x1 - (+/ (% (!
