(define (make-procedure-binop binop)
(lambda (f g) (lambda (x) (binop (f x) (g x)))))
What is the type of (make-procedure-binop) and (make-procedure-binop -)?
(binop: binary operation)
A binary operation or dyadic operation is a calculation that combines two elements to produce another element. More formally, a binary operation is an operation of arity two.
More specifically,a binary operation on a set is a binary operation whose two domains and the codomain are the same set. Examples include the familiar arithmetic operations of addition,subtraction,multiplication.Other examples are readily found in different areas of mathematics, such as vector addition,matrix multiplication and conjugation in groups.
(define (make-procedure-binop binop) (lambda (f g) (lambda (x) (binop (f x) (g x))))) What is the...
) ) (define counter (new-count)) (define foo (lambda (x) (+ x (- 0 x) x)) ) (display (foo (counter))) 1 0 N (display (foo (counter) ) ) 1 0 2 -1 Question 13 (1 point) What would be output of the following code, assuming that normal order evaluation is used? (You may assume all arguments are evaluated left to right.) (define new-count (lambda () (let ((cnt 0)) (lambda () (set! cnt (+ 1 cnt)) cnt ) ) ) (define counter...
Reduce the following expressions to values: (((lambda x (lambda y (+ x y))) 10) 5) = ((lambda y (+ 10 y)) 5) = (+ 10 5) = 15 (((lambda f (lambda x (f x))) (lambda y (* y y))) 12) ((((lambda f (lambda x ((f x) f))) (lambda y (lambda g (g (* y y))))) 2) (lambda a a)) I already answered the one in bold just need help with the other two.
Consider this scheme function and explain it
Consider the following Scheme function: (define f (lambda (1st) (cond (null? 1st)) 0) ((number? (car 1st) (+ 1 (f (cdr 1st)))) (else (f (cdr 1st))))) Explain what the function f computes for lists. consider (f '(1 a b 2)) for example.
1.(1) Let A={f(x): f(x)-axx? +ajx + ap} where a, eR (i=1,2,3). Define f+g by (f+g)(x)=(a+b)x² + (a1 +b ) x + (ao+b) also define (rf)(x)=(ra) x? +(ra)x+rao Show that A is vector space.
xa for some α e R \ {0} G f : (0,00)-(0, oo) : f(x) Prove that G endowed with the binary operation o is a group.
Define the fitness f of bit string x with length m = 4, to be the integer represented by the binary number x,( eg. f(0011)=3, f(1111)=15). What is the average times of the schema **1* under f? What is the average fitness of schema *0** under f?
Explain the evaluation of the following Scheme code: (define x 10) (define y 11) (define proc2 (lambda () (cons x (cons y '())))) (define proc1 (lambda (x y) (proc2))) (define main (lambda () (cond ((zero? (read)) (proc1 5 20)) (else (proc2))))) (main)
please explain, not just an answer. No cursive please.
Suppose that we define a function f(x) in a piecewise manner - f(z) () for x < a and f(x) = h(x) for x > a. Here, assume that g(z) and h(z) are differentiable functions. Show that f is differentiable at a if and only if f(a) g(a) and f'(a) g'(a).
Suppose that we define a function f(x) in a piecewise manner - f(z) () for x a. Here, assume that...
In racket language, define a procedure named build-naturals that returns the list (list 0 .. (- n 1)) for any natural number n. Example: (build-naturals 5) returns (0 1 2 3 4).. The procedure must call build-list. The procedure passed to build-list must be a lambda expression, not a named procedure
Make a proof that demonstrates (∀x)x=f(x,y),(∀x)φ(x,x)⊢(∀x)(x=f(x,y)∧φ(x,x)) where f is a binary function symbol and φ is a binary predicate symbol.