By Graeme Donald Robertson
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Extra info for A practical introduction to APL-1 & APL-2
F. f. ambivalent). e. it is monistic xor dualistic). ] The inner-product, or the dot operator (), requires two function arguments that combine in a given way to produce a dyadic derived function. In the case where the left operand is plus and the right operand is times, the derived function is that of matrix multiplication (which implicitly involves multiplication and plus reduction). • Given some small test matrix, 0$7f verify the results of 0$7¹0$7 0$7¹0$7 0$7A 0$7 0$7A 0$7 0$7y0$7 • In what context might each of the above derived functions be used?
In APL one attempts to apply some function to the given arguments to obtain immediately the desired result. This is not always possible; often intermediate results are needed. If so, the problem is broken down into sub-problems and a solution to each sub-problem is then sought through the application of some function to an argument or arguments to give an intermediate result. It is amazing how seldom (if ever) loops are strictly necessary, even in core APL 1. ) This black-box, operational way of thinking [input/operation/output] is reminiscent of the scattering-matrix approach to quantum mechanics which was popular amongst particle physicists in the 1970’s (see The Tao of Physics by Fritjov Capra).
Check the result of the complex addition and multiplication. - - - - - - - ¹ - - - 39 A Practical Introduction to APL1 & APL2 L E S S O N 11 The Each Operator Having introduced nested arrays, one immediately wishes to know how to apply primitive APL functions to them. Some primitive functions, such as take and reverse, have an obvious generalisation. The scalar functions are generalised to be pervasive which means that their action applies at all levels of nesting.