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

Published on 12 May 2024 09:40 PM
#Lasso

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

Source code in the lasso programming language

define arithmetic_mean(a::staticarray)::decimal => {
	//sum of the list divided by its length
	return (with e in #a sum #e) / decimal(#a->size)
}
define geometric_mean(a::staticarray)::decimal => {
	// The geometric mean is the nth root of the product of the list
	local(prod = 1)
	with e in #a do => { #prod *= #e }
	return math_pow(#prod,1/decimal(#a->size))
}
define harmonic_mean(a::staticarray)::decimal => {
	// The harmonic mean is n divided by the sum of the reciprocal of each item in the list
	return decimal(#a->size)/(with e in #a sum 1/decimal(#e))
}

arithmetic_mean(generateSeries(1,10)->asStaticArray)
geometric_mean(generateSeries(1,10)->asStaticArray)
harmonic_mean(generateSeries(1,10)->asStaticArray)

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