1 12687dd9 2023-08-04 jrmu ;; The first three lines of this file were inserted by DrScheme. They record metadata
 2 12687dd9 2023-08-04 jrmu ;; about the language level of this file in a form that our tools can easily process.
 3 12687dd9 2023-08-04 jrmu #reader(lib "htdp-advanced-reader.ss" "lang")((modname |29.3|) (read-case-sensitive #t) (teachpacks ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp"))) (htdp-settings #(#t constructor repeating-decimal #t #t none #f ((lib "draw.ss" "teachpack" "htdp") (lib "arrow.ss" "teachpack" "htdp") (lib "gui.ss" "teachpack" "htdp")))))
 4 12687dd9 2023-08-04 jrmu ;norm : vector -> number
 5 12687dd9 2023-08-04 jrmu ;Produces the square root of the sum of the numbers in avector.
 6 12687dd9 2023-08-04 jrmu 
 7 12687dd9 2023-08-04 jrmu (define (norm avector)
 8 12687dd9 2023-08-04 jrmu   (sqrt (sum-of-squares avector 0)))
 9 12687dd9 2023-08-04 jrmu 
10 12687dd9 2023-08-04 jrmu ;sum-of-squares : vector N -> number
11 12687dd9 2023-08-04 jrmu ;Given avector and i, square the element in avector from [i,vector-length) and then sum them 
12 12687dd9 2023-08-04 jrmu 
13 12687dd9 2023-08-04 jrmu (define (sum-of-squares avector i)
14 12687dd9 2023-08-04 jrmu   (cond
15 12687dd9 2023-08-04 jrmu     [(= (vector-length avector) i) 0]
16 12687dd9 2023-08-04 jrmu     [else (+ (sqr (vector-ref avector i))
17 12687dd9 2023-08-04 jrmu              (sum-of-squares avector (add1 i)))]))