Mencari Nilai Nol dengan Bahasa Pemrograman R

Zero finding atau pencarian nol adalah istilah yang digunakan dalam konteks matematika dan komputasi untuk merujuk pada proses menemukan nilai di mana suatu fungsi mencapai nilai nol atau nol. Dalam matematika, nilai di mana suatu fungsi sama dengan nol disebut sebagai akar atau solusi dari fungsi tersebut.

Proses zero finding seringkali melibatkan teknik atau metode numerik yang dirancang untuk mencari solusi numerik dari suatu persamaan atau fungsi. Beberapa metode umum yang digunakan untuk zero finding melibatkan teknik iteratif, seperti metode Newton-Raphson, metode bisection, atau metode interpolasi.

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':
## 
##     mean

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

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

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

## Loading required package: mosaicCore

## 
## Attaching package: 'mosaicCore'

## The following objects are masked from 'package:dplyr':
## 
##     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':
## 
##     D

f <- makeFun(-x^2+2*x ~ x)

Zeros(f(x) - 10 ~ x, bounds(x=-4:4))

## # A tibble: 0 × 2
## # ℹ 2 variables: x <lgl>, .output. <dbl>

slice_plot(f(x) ~ x, bounds(x=-4:4)) %>%
  gf_hline(yintercept = ~ 0, color="magenta") %>%
  gf_vline(xintercept = ~ 0, color="blue" )

Daftar Pustaka: Daniel, K. (2022). MOSAIC Calculus. Diakses pada tanggal 1 Desember 2023 dari https://www.mosaic-web.org/MOSAIC-Calculus/

Mencari Nilai Nol dengan Bahasa Pemrograman R

muhammad haris firmansyah

2023-12-06

Mencari Nilai Nol dengan Bahasa Pemrograman R