Use Clojure: a. See attached picture. b. In Clojure (like other functional programming languages) functions and variables are treated identically. This means a function may easily take another function as an argument, and/or return a function. Write a function swap-arg-order which takes a function (of two arguments) as an argument returns another function that does the same thing, but expects its two arguments in the opposite order. That is, for example • given the division function / which divides the first argument by the second (so (/ 3 6) returns the number 1/2), the following expression should evaluate to 2 ((swap-arg-order /) 3 6) • given the function list-longer-than? from above, the following expression should evaluate to true ((swap-arg-order list-longer-than?) '(1 2 3) 2) c. Define a higher order function g so the following expression evaluates to true: (= 100 (g (fn [n] (* n n))))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Use Clojure:

a. See attached picture.

b. In Clojure (like other functional programming languages) functions and variables are treated identically. This means a function may easily take another function as an argument, and/or return a function. Write a function swap-arg-order which takes a function (of two arguments) as an argument returns another function that does the same thing, but expects its two arguments in the opposite order.
That is, for example
• given the division function / which divides the first argument by the second (so (/ 3 6) returns the number 1/2), the following expression should evaluate to 2
((swap-arg-order /) 3 6)
• given the function list-longer-than? from above, the following expression should evaluate to true
((swap-arg-order list-longer-than?) '(1 2 3) 2)

c. Define a higher order function g so the following expression evaluates to true:
(= 100 (g (fn [n] (* n n))))

Problem 11: In linear algebra, if x, y are two vectors each with n components, their dot product is
x.y = 1 X¿Yi. Write a function dot-product that takes two lists of numbers as arguments, and returns the
dot product. So for example, if the list x is '(0 2 4) and the list y is '(1 3 5), the expression (dot-product
x y) should return 26, because 0·1+2·3+4.5 26.
You may assume that the two input lists are of equal length and contain only numbers as elements.
Transcribed Image Text:Problem 11: In linear algebra, if x, y are two vectors each with n components, their dot product is x.y = 1 X¿Yi. Write a function dot-product that takes two lists of numbers as arguments, and returns the dot product. So for example, if the list x is '(0 2 4) and the list y is '(1 3 5), the expression (dot-product x y) should return 26, because 0·1+2·3+4.5 26. You may assume that the two input lists are of equal length and contain only numbers as elements.
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