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1.3 Formulating Abstractions with Higher-Order Procedures Fall, 2014

1.3 Formulating Abstractions with Higher-Order Procedures Fall, 2014. Formulating Abstractions with Higher-Order Procedures. We have seen that procedures are abstractions that describe compound operations on numbers independent of the particular numbers.

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381 views • 31 slides

PPL

PPL. Lecture 3 Slides by Yaron Gonen , based on slides by Daniel Deutch and lecture notes by Prof. Mira Balaban. Warm-up. Is this recursive or iterative? (define sum (lambda (n) (if (= n 0) 0 (+ (/ 1 (pow 2 n)) (sum (- n 1)))))).

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(define (times1 a n) (if (= n 0) 0 (+ a (times1 a (- n 1)))))

(define (times1 a n) (if (= n 0) 0 (+ a (times1 a (- n 1))))) (define (times2 a n) (letrec ((iter (lambda (c result) (if (= c 0) result (iter (- c 1) (+ result a)))))) (iter n 0))).

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158 views • 6 slides

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Sum cubes - PowerPoint PPT Presentation

1.3 Formulating Abstractions with Higher-Order Procedures Fall, 2014

PPL

(define (times1 a n) (if (= n 0) 0 (+ a (times1 a (- n 1)))))