How to resolve the algorithm Arithmetic-geometric mean step by step in the Potion programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Arithmetic-geometric mean step by step in the Potion programming language
Table of Contents
Problem Statement
Write a function to compute the arithmetic-geometric mean of two numbers.
The arithmetic-geometric mean of two numbers can be (usefully) denoted as
a g m
( a , g )
{\displaystyle \mathrm {agm} (a,g)}
, and is equal to the limit of the sequence: Since the limit of
a
n
−
g
n
{\displaystyle a_{n}-g_{n}}
tends (rapidly) to zero with iterations, this is an efficient method. Demonstrate the function by calculating:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Arithmetic-geometric mean step by step in the Potion programming language
Source code in the potion programming language
sqrt = (x) :
xi = 1
7 times :
xi = (xi + x / xi) / 2
.
xi
.
agm = (x, y) :
7 times :
a = (x + y) / 2
g = sqrt(x * y)
x = a
y = g
.
x
.
You may also check:How to resolve the algorithm Display an outline as a nested table step by step in the zkl programming language
You may also check:How to resolve the algorithm Iterated digits squaring step by step in the Scala programming language
You may also check:How to resolve the algorithm Ludic numbers step by step in the Java programming language
You may also check:How to resolve the algorithm Sorting algorithms/Radix sort step by step in the QB64 programming language
You may also check:How to resolve the algorithm Variadic function step by step in the Aime programming language