Given vectors u = (u_1, u_2,..., u_n) and v = (v_1, v_2,,..., v_n), the inner product of u and v is defined to be u_1*v_1 + u_2*v_2 + ... + u_n*v_n. Write a curried F# function inner that takes two vectors represented as int lists and returns their inner product (assuming the two lists are of equal length): > inner [1;2;3] [4;5;6];; val it: int = 32
Solution
Answer:)
let rec inner xs ys =
match (xs, ys) with
| ([],[]) -> 0
| ([],ys) -> failwith \"Vector dimensions inconsistent\"
| (xs,[]) -> failwith \"Vector dimensions inconsistent\"
| (x::xs, y::ys) -> x*y + inner xs ys
inner [1;2;3] [4;5;6]
.
Given vectors u - (u_1- u_2----- u_n) and v - (v_1- v_2------ v_n)- th.docx
1. Given vectors u = (u_1, u_2,..., u_n) and v = (v_1, v_2,,..., v_n), the inner product of u and v is
defined to be u_1*v_1 + u_2*v_2 + ... + u_n*v_n. Write a curried F# function inner that takes
two vectors represented as int lists and returns their inner product (assuming the two lists are of
equal length): > inner [1;2;3] [4;5;6];; val it: int = 32
Solution
Answer:)
let rec inner xs ys =
match (xs, ys) with
| ([],[]) -> 0
| ([],ys) -> failwith "Vector dimensions inconsistent"
| (xs,[]) -> failwith "Vector dimensions inconsistent"
| (x::xs, y::ys) -> x*y + inner xs ys
inner [1;2;3] [4;5;6]
![Given vectors u = (u_1, u_2,..., u_n) and v = (v_1, v_2,,..., v_n), the inner product of u and v is
defined to be u_1*v_1 + u_2*v_2 + ... + u_n*v_n. Write a curried F# function inner that takes
two vectors represented as int lists and returns their inner product (assuming the two lists are of
equal length): > inner [1;2;3] [4;5;6];; val it: int = 32
Solution
Answer:)
let rec inner xs ys =
match (xs, ys) with
| ([],[]) -> 0
| ([],ys) -> failwith "Vector dimensions inconsistent"
| (xs,[]) -> failwith "Vector dimensions inconsistent"
| (x::xs, y::ys) -> x*y + inner xs ys
inner [1;2;3] [4;5;6]](https://image.slidesharecdn.com/givenvectorsu-u1-u2-unandv-v1-v2-vn-th-230127190734-46bff186/85/Given-vectors-u-u_1-u_2-u_n-and-v-v_1-v_2-v_n-th-docx-1-320.jpg)
