How to resolve the algorithm Averages/Pythagorean means step by step in the jq programming language

Published on 12 May 2024 09:40 PM
#Jq

How to resolve the algorithm Averages/Pythagorean means step by step in the jq programming language

Table of Contents

Problem Statement

Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that

A (

x

1

, … ,

x

n

) ≥ G (

x

1

, … ,

x

n

) ≥ H (

x

1

, … ,

x

n

)

{\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})}

for this set of positive integers.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Averages/Pythagorean means step by step in the jq programming language

Source code in the jq programming language

def amean: add/length;

def logProduct: map(log) | add;

def gmean:  (logProduct / length) | exp;

def hmean: length / (map(1/.) | add);

# Tasks:
 [range(1;11) ] | [amean, gmean, hmean] as $ans
 | ( $ans[],
   "amean > gmean > hmean => \($ans[0] > $ans[1] and $ans[1] > $ans[2] )" )

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