Download e-book for kindle: A Programming Language. by Kenneth E. Iverson

By Kenneth E. Iverson

ISBN-10: 0471430145

ISBN-13: 9780471430148

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2. the nan1e, account nun1ber, and balance for each account with a negative balance exceeding one hundred dollars. 3. the nan1e and account nun1ber of each account with a balance exceeding one thousand dollars. 4. all unassigned account nun1bers. ) L'I/ with colunln vectors L 1 , L'2' and L 3 representing nanles, account nUIllbers, and balances, respectively, and with row vectors LI, L'2, ... , LI/I representing individual accounts. An unassigned account nunlber is identified by the word "'none" in the nanle position.

17 The language 34 Function mapping A function f which defines for each element b i of a set b a unique correspondent ale in a set a is called a mapping fronl b to a. If f(b i ) = ale, the element b i is said to map into the element ale. If the elements f(b i ) exhaust the set a, the functionfis said to map b onto a. If b maps onto a and the elements j'(b i ) are all distinct, the mapping is said to be one-to-one or biunique. In this case, v(a) = v(b), and there exists an inverse mapping from a to b with the same correspondences.

Lx ,,). The parentheses now inlply relational staternents as well as grouping. 9 Selection ]7 The relational reductions of practical interest are ~/~/u, and =/u, the exclusire-or and the equiralence reduction, respectively. 10 shows that ~F/U = 210 (+/u). For example, if U = (1,0,1,1,0), then -~ / II = ((((I :1'= 0) =(((1 1)~ = ((0 ::/= I) =(1 I) * 1) 0) 1)=1=0) 0) 0)=1, and 2 10 (+ /u) = 2 10 3 = ]. Similarly, = sequence, /u = 2 10 (+ Iii), and as a con­ =I)U = =/ii, a useful companion to De Morgan's law.

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A Programming Language. by Kenneth E. Iverson

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