Question

Problem 4 Scheme.

What do the following functions do?

(define (blue p l) (= (length l) (length (filter p l)))) (define (renmap f x ys) (map (lambda (y) (f x y)) ys))

(define (binmap f xs ys) (map (lambda (x) (renmap f x ys)) xs))

Answer 1

Answer-

• Basically, Filter returns the elements e for the l where p e is the #t.
• Pink returns #t if p returns #t for some element in l. Other than, #f.
• Blue returns #t if p returns #t for all elements in l. Other than, #f.
• Say ys = {y1, y2, . . . , yn}, renmap returns a list of {z1, z2, . . . , zn} where zi = f x yi.
• Similarly, Say xs = {x1, x2, . . . , xn} and ys = {y1, y2, . . . , yn}, binmap returns a list of {z1, z2, . . . , zn} where -    zi = { (f xi y1),(f xi y2), . . . ,(f xi yn) }

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