Iterasi

Dosen Pengampu : Prof . Dr. Suhartono, M.Kom

Lembaga : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Fakultas : Sains dan Teknologi

Jurusan : Teknik Informatika

Kelas : (C) Kalkulus

NIM : 230605110078

# import the library
library(mosaicCalc)

## Loading required package: mosaic

## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2

## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.

## 
## Attaching package: 'mosaic'

## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally

## The following object is masked from 'package:Matrix':
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##     mean

## The following object is masked from 'package:ggplot2':
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##     stat

## The following objects are masked from 'package:stats':
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##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var

## The following objects are masked from 'package:base':
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##     max, mean, min, prod, range, sample, sum

## Loading required package: mosaicCore

## 
## Attaching package: 'mosaicCore'

## The following objects are masked from 'package:dplyr':
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##     count, tally

## The legacy packages maptools, rgdal, and rgeos, underpinning the sp package,
## which was just loaded, will retire in October 2023.
## Please refer to R-spatial evolution reports for details, especially
## https://r-spatial.org/r/2023/05/15/evolution4.html.
## It may be desirable to make the sf package available;
## package maintainers should consider adding sf to Suggests:.
## The sp package is now running under evolution status 2
##      (status 2 uses the sf package in place of rgdal)

## 
## Attaching package: 'mosaicCalc'

## The following object is masked from 'package:stats':
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##     D

Pengertian dari Iterasi

Iterasi adalah perulangan yang digunakan dalam sebuah fungsi guna untuk mendapatkan nilai sesuai dengan rumus yang diberikan secara berulang - ulang. Rumus yang akan kita terapkan dalam artikel kali ini yaitu berupa :

\[ looping(nilai) = \frac{1}{2} (nilai + \frac{x}{nilai}). \]

Berikut penerapan fungsi di atas dalam bahasa R

looping <- makeFun((nilai + x/nilai)/2 ~ nilai)

Menjalankan fungsi bernama iterasi untuk proses perulangan dengan memanggil fungsi better yang di beri nilai awal \(x^0 = 1\) dan melakukan sepanjang 6 perulangan \(n = 6\).

Iterate(looping(nilai, x=55) ~ nilai, x0=1, n=6)

##   n     nilai
## 1 0  1.000000
## 2 1 28.000000
## 3 2 14.982143
## 4 3  9.326590
## 5 4  7.611854
## 6 5  7.418713
## 7 6  7.416199

Referensi

[1] Daniel Kaplan, Kalkulus Mozaik,(Online) https://dtkaplan.github.io/MC2/Modeling/06-operations.html diakses pada 6 Desember 2023 Pukul 06.30 WIB