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Erna Herawati
Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia
Mathematics

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Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen Mohamad Abdul Ba'is; Hairur Rahman; Erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (359.588 KB) | DOI: 10.18860/jrmm.v2i1.14619

Abstract

Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.
Analisis Sentimen Mahasiswa Terhadap Perkuliahan Dalam Jaringan Menggunakan Metode Naïve Bayes Classifier Bagus Aziz Rahmatullah; Imam Sujarwo; Erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 2, No 3 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i3.16415

Abstract

Since the pandemic of Covid-19 was happened in Indonesia, the government shared the letter of The Ministry of Education and Higher Culture Education Directorate No.1, year 2020 about prevention of the spread of Corona Virus Disease (Covid-19) in higher education. Through the letter, The Ministry of Education and Culture gave an instruction for college to organize online learning and suggested students to study at their home. Online learning which was considered as a strategy then became a controversy because it needed adaption. This sudden change from normal learning to online learning caused many responses from students. The aim of this research was to analyze student sentiment or responses on online learning in this pandemic era of Covid-19 in Indonesia by using data which had been collected using questionnaire and processed using naïve bayes classifier method. This research was case study descriptive quantitative research. The research was done by collecting the data first. The data was collected through questionnaire with the question about their opinion on online learning in this pandemic Covid-19 era. The data was 157 student’s data opinion on online learning. After the data was collected, the data was cleaned first from question mark and the words which didn’t give an effect in sentiment analysis. After the data was cleaned, then the result of the classification will be showed as well as the accuracy which the model earned. The result showed that online learning had negative sentiment more than positive sentiment. The height of negative sentiment was caused by discomfort of student in online learning. The word which frequently showed was ‘tidak efektif’, ‘susah’, and ‘tugas’. The accuracy of this model was 75% when the result of this accuracy was good result in classification.
Penerapan Algoritma Floyd-Warshall pada Jalur Evakuasi Korban Kecelakaan di Boyolali Fitri Nofita Sari; Juhari Juhari; erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 2, No 5 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i5.22006

Abstract

The Floyd-Warshall algorithm is one of the algorithms that can be used to solve the shoetest route problem and is the easiests to apply because it can find all the shortest routes between each possible pair of position and is part of a dynamic program that is very efficient in solving optimal route promblems. The Floyd-Warshall algorithm works by comparing each possible path on the graph for each node pair and checking the resulting node combination. The problem of the shortest route in daily life is the evacuation of victims of traffic accidents in Boyolali, Central Java. For evacuation to be more effective, a nearby route to the nearest hospital is needed. Based on the results of the research that has been done, it can be concluded that the study produced reference matrix in the form of the shortest trajectory used to determine the shortest route to nearest hospital in Boyolali, Central Java.
Indeks Konektivitas Eksentrik Edis Pada Graf Annihilator dari Ring Bilangan Bulat Modulo Risma Amelia; Mohammad Nafie Jauhari; Erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 4, No 3 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i2.30059

Abstract

This study discusses how the general formula of the Ediz eccentric connectivity index (IKEE) in the annihilator graph of the ring of integers modulo. This study aims to determine the Ediz eccentric connectivity index on the annihilator graph of the ring of modular integers , with  is a primer number for , and  is a positif integer. The initial step in conducting this research is to form an annihilator graph from the ring of integers of the modul  , then find the vertex degree and the eccentricity of the vertex on the annihilator graph which is used to calculate the Ediz eccentric connectivity index of each graph. After that, formulate a conjecture about the Ediz eccentric connectivity index on the annihilator graph of the ring of integers of the modul  , and the last one proves the hypothesis obtained. The results of this study is general formula for the Ediz eccentric conductivity index on the Annihilator graph of the ring of integers modulo  where p is a prime number and m is a positive integer.
Energi Detour pada Graf Invers dari Grup Quaternion Diperumum Iftitahur Rohmah; Mohammad Nafie Jauhari; Erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 4, No 3 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i2.30060

Abstract

A generalized quaternion group  is a non-abelian group with a  order constructed from the two elements  that is denoted by  defined as   where the  is the identity, . The inverse graph of a group is a graph which the vertices set are all elements of a finite group and two distinct vertices  and  are adjacent if and only if either  or . Graph energy, especially detour energy, is an important aspect in graph theory that describes network stability and resistance. The method used in this research is a qualitative method. This study aims to determine the formula of the detour energy in the inverse graph of the quaternion group is announced with . Through algebra analysis methods and graph theory, it is found that detour energy can be calculated using the detour matrix and the resulting eigen value. The results showed that the detour energy formula in the inverse graph from the quaternion group was founded was  for each .
Pemodelan ARDL Pengaruh Ekspor- Impor terhadap Inflasi di Jawa Timur Reta Wanda Mardaningrum; Sri Harini; Erna Herawati
Jurnal Riset Mahasiswa Matematika Vol 4, No 3 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i3.31209

Abstract

The Autoregressive Distributed Lag (ARDL) approach is a time series analysis method that enables the examination of short- and long-term relationships between variables, even when the variables have different levels of stationarity. This study aims to analyze the influence of export and import values on inflation in East Java using standardized monthly data from the Central Bureau of Statistics (BPS) East Java, covering the 2018–2023 period. The selected ARDL model revealed cointegration, indicating significant long-term relationships among the variables. The best model was identified with an F-statistic value of 6.4036, an R-squared value of 0.8163, and the lowest Akaike Information Criterion (AIC). The results demonstrate that export activities, particularly non-oil and gas exports, tend to suppress inflation in the long term, while oil and gas imports exhibit a strong positive influence on inflation. Standardized data were used in this analysis to ensure consistent representation of relationships among.
Co-Authors Bagus Aziz Rahmatullah Fitri Nofita Sari Hairur Rahman Iftitahur Rohmah Imam Sujarwo Juhari Juhari Mohamad Abdul Ba'is Mohammad Nafie Jauhari Reta Wanda Mardaningrum Risma Amelia Sri Harini