CAUCHY: Jurnal Matematika Murni dan Aplikasi
https://ejournal.uin-malang.ac.id/index.php/Math
<h3>CAUCHY: Jurnal Matematika Murni dan Aplikasi</h3><p><span lang="id"><span class="hps"><strong>p-ISSN: <a href="http://u.lipi.go.id/1255061534" target="_blank">2086-0382</a> | e-ISSN: <a href="http://u.lipi.go.id/1447468580" target="_blank">2477-3344</a></strong></span></span><strong></strong></p><p><strong><span lang="id"><span class="hps"><br /></span></span></strong><span id="result_box" lang="en"> <strong>CAUCHY: Jurnal Matematika Murni dan Aplikasi</strong> <span>is a</span> <span>mathematical international journal</span> <span>published</span> <span>twice a year</span> <span>in May</span> <span>and</span> <span>November</span> <span>by</span> <span>the Mathematics</span> Department, F<span>aculty of</span> <span>Science</span> <span>and</span> T<span>echnology, </span><span>Universitas Islam Negeri Maulana Malik Ibrahim Malang</span></span></p><p><span id="result_box" lang="en"><strong>CAUCHY: Jurnal Matematika Murni dan Aplikasi </strong><span><strong>has been accredited Second Grade " SINTA 2" Ministry of Research and Technology/National Agency for Research and Innovation, Republic of Indonesia</strong></span><strong> (<a title="SK Akreditasi Jurnal 2020" href="https://drive.google.com/open?id=1v2Hrnf5azymhkZJRR4Jdqy_CoNTjtyjS" target="_blank">SK: 85/M/KPT/2020) since April 1, 2020</a>.</strong></span></p><p><span lang="en">We welcome authors for original articles (research), review articles, interesting case reports, special articles illustrations that focus on the <strong>Pure and Applied <strong>Mathematics.</strong></strong></span></p><p>Subjects suitable for publication include, the following fields of:</p><ul><li>Fuzzy Systems and its Applications</li><li>Geometry Theories and its Applications</li><li>Graph Theories and its Applications</li><li>Real Analysis and its Applications </li><li>Operation Research and its Applications</li><li>Statistical Theories and its Applications</li><li>Dinamical Systems and its Applications</li><li>Mathematical Modeling and its Applications</li><li>Discrete Mathematics and its Applications</li><li>Computer Mathematics and its Applications</li><li>Actuarial Mathematics and its Applications</li></ul><p><span lang="en"><span><strong>Journal History</strong><br />CAUCHY: Jurnal Matematika Murni dan Aplikasi has several changes and updates in its history as follows: 1). On 2009-2012, the cover color was changed from yellow to purple; 2). On 2013-2015, it used two-column system for the layout; 3). From 2016, it uses one-column layout and each article submitted to CAUCHY has to be written in English.</span></span></p><strong><span lang="en"><span id="result_box" lang="en"><span id="result_box" lang="en"><span> <a href="http://s1153.photobucket.com/user/joehari1/media/new1.gif.html" target="_blank"><img src="http://i1153.photobucket.com/albums/p503/joehari1/new1.gif" alt=" photo new1.gif" border="0" /></a> </span></span></span><span id="result_box" lang="en"><span id="result_box" lang="en"><span>Starting from Vol</span><span>.</span> <span>4 No.</span> <span>2</span> <span>(2016)</span> <span>CAUCHY: Jurnal Matematika Murni dan Aplikasi</span> <span>use a new layout template</span></span><br /></span></span></strong><p>Registration and article submission guidelines can be downloaded <a href="https://goo.gl/crrzlC" target="_blank">here</a>.</p><p><span lang="id"><span class="hps"><br /></span></span></p>Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malangen-USCAUCHY: Jurnal Matematika Murni dan Aplikasi2086-0382<p>Authors who publish with this journal agree to the following terms:</p><ol><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a href="http://creativecommons.org/licenses/by-sa/4.0/" rel="license">Creative Commons Attribution-ShareAlike 4.0 International License</a> (CC-BY-SA 4.0) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See <a href="http://opcit.eprints.org/oacitation-biblio.html" target="_new">The Effect of Open Access</a>).</li></ol>Front-Matter
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/21272
Front Matter
Copyright (c) 2023 Front Matter
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2023-05-292023-05-297410.18860/ca.v7i4.21272Back-Matter
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/21273
Back Matter
Copyright (c) 2023 Back Matter
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2023-05-292023-05-297410.18860/ca.v7i4.21273Bühlmann's Credibility Model with Claims of Negative Binomial and 2-Poisson Distribution
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16400
One of the premium determination techniques is to use credibility theory. In this study, a credibility premium determination model was derived with the best accuracy approach in the form of Bühlmann’s credibility premium. The claim data is assumed to have a Negative Binomial and 2-Poisson distribution. Bühlmann's credibility premium formula is given explicitly for these two data distributions. The obtained model is also applied to the correct data following these distributions. From the simulation results, it is obtained that the premium values are very close in value so that both models can be applied to the data and have a high level of credibility because they have a high credibility factor value.Ikhsan MaulidiVina Apriliani
Copyright (c) 2023 Ikhsan Maulidi, Vina Apriliani
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2023-05-242023-05-247449350210.18860/ca.v7i4.16400On Irregular Colorings of Unicyclic Graph Family
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16917
<p class="Abstract"><span lang="EN-US">Irregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex <em>v</em> is </span><span lang="EN-US"> where </span><span lang="EN-US"> and </span><span lang="EN-US"> is the number of vertices that are adjacent to <em>v</em> and colored <em>i</em>. The minimum <em>k</em>-color used in irregular coloring is called the irregular chromatic number and denoted by </span><span lang="EN-US">. In this paper, we discuss the irregular chromatic number for the bull graph, pan graph, sun graph, peach graph, and caveman graph. </span></p>Arika Indah KristianaDafik DafikQurrotul A’yunRobiatul AdawiyahRidho Alfarisi
Copyright (c) 2023 Arika Indah Kristiana
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2023-05-242023-05-247450351210.18860/ca.v7i4.16917The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16991
Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph. A power graph of the group G is defined as a graph whose vertex set is all elements of G and two distinct vertices a and b are adjacent if and only if or for a positive integer and . In addition to mathematics, graph theory can be applied to various fields of science, one of which is chemistry, which is related to topological indices. In this study, the topological indexes will be discussed, namely the Zagreb index, the Wiener index, and the Gutman index of the power graph of the dihedral group where with prime numbers and an natural number. The method used in this research is a literature review. The results obtained from this study are the first Zagreb index, Wiener index, and Gutman index of the power graph of the dihedral group where where is prime and an m natural number respectively is .Evi Yuniartika AsmaraniSahin Two LestariDara PurnamasariAbdul Gazir SyarifudinSalwa SalwaI Gede Adhitya Wisnu Wardhana
Copyright (c) 2023 I Gede Adhitya Wisnu Wisnu Wardhana
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2023-05-242023-05-247451352010.18860/ca.v7i4.16991A Fractional-Order Leslie-Gower Model with Fear and Allee Effect
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17336
<p class="Abstract">In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in the prey and Allee effect in predators. Firstly, all possible equilibrium points are analyzed by identifying the conditions of their existence and local stability. Here, we find four equilibrium points, where two local stable points and two unstable points. Furthermore, we also investigate the stability changing caused by Hopf bifurcation when the order of derivative changes. Finally, we perform several simulations to support our analysis results. </p>Adin Lazuardy FirdiansyahDewi Rosikhoh
Copyright (c) 2023 Adin Lazuardy Firdiansyah
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2023-05-242023-05-247452153410.18860/ca.v7i4.17336Spatial Analysis of Dengue Disease in Jakarta Province
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17423
Dengue disease is a virus-borne illness spread by the bite of the female Aedes aegypti mosquito. Jakarta Province has a vulnerability to dengue disease due to high population density and percentage of urban slum households. This study applied a spatial autoregressive (SAR) model to identify the risk factors that affect the number of dengue disease cases in Jakarta Province. The spatial dependency was accounted for using the queen contiguity spatial weight matrix. The number of flood-prone points, the number of slum neighborhood associations, the population density, the number of hospitals and the number of public health centers per 1,000 population and spatial lag significantly impact the number of dengue disease cases in Jakarta Province. When dengue disease cases increase in one sub-district, the number of dengue disease cases in the sub-districts around it will increase as well because of the positive and significant spatial lag coefficient. Based on the direct impact, each addition of one percent of flood-prone points in one sub-district will increase the number of dengue disease cases in that sub-district by 3.86 casesMuhamad SobariI Gede Nyoman Mindra JayaBudi Nurani Ruchjana
Copyright (c) 2023 Muhamad Sobari, I Gede Nyoman Mindra Jaya, Budi Nurani Ruchjana
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2023-05-242023-05-247453554710.18860/ca.v7i4.17423On Rainbow Antimagic Coloring of Joint Product of Graphs
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17471
<p class="Abstract">Let be a connected graph with vertex set and edge set . A bijection from to the set is a labeling of graph . The bijection is called rainbow antimagic vertex labeling if for any two edge and in path , where and . Rainbow antimagic coloring is a graph which has a rainbow antimagic labeling. Thus, every rainbow antimagic labeling induces a rainbow coloring G where the edge weight is the color of the edge . The rainbow antimagic connection number of graph is the smallest number of colors of all rainbow antimagic colorings of graph , denoted by . In this study, we studied rainbow antimagic coloring and have an exact value of rainbow antimagic connection number of joint product of graph where is graph , graph , graph , graph and graph .</p>Brian Juned SeptoryLiliek SusilowatiDafik DafikM. Venkatachalam
Copyright (c) 2023 Brian Juned Septory, Liliek Susilowati, Dafik Dafik, M. Venkatachalam
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2023-05-242023-05-247454855810.18860/ca.v7i4.17471Characteristic of Quaternion Algebra Over Fields
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17625
Quaternion is an extension of the complex number system. Quaternion are discovered by formulating 4 points in 4-dimensional vector space using the cross product between two standard vectors. Quaternion algebra over a field is a 4-dimensional vector space with bases and the elements of the algebra are members of the field. Each element in quaternion algebra has an inverse, despite the fact that the ring is not commutative. Based on this, the purpose of this study is to obtain the characteristics of split quaternion algebra and determine how it interacts with central simple algebra. The research method used in this paper is literature study on quaternion algebra, field and central simple algebra. The results of this study establish the equivalence of split quaternion algebra as well as the theorem relating central simple algebra and quaternion algebra. The conclusion obtained from this study is that split quaternion algebra has five different characteristics and quaternion algebra is a central simple algebra with dimensions less than equal to four.Muhammad FaldiyanEma CarniaAsep K. Supriatna
Copyright (c) 2023 Muhammad Faldiyan
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2023-05-242023-05-247455956710.18860/ca.v7i4.17625Systematic Literature Review on Adjustable Robust Shortest Path Problem
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17648
<span>In real-world optimization problems, effective path planning is important. The Shortest Path Problem (SPP) model is a classical operations research that can be applied to determine an efficient path from the starting point to the end point in a plan. However, in the real world, uncertainty is often encountered and must be faced. Significant uncertainty factors in the problem of determining the shortest path are problems that are difficult to predict, therefore new criteria and appropriate models are needed to deal with uncertainty along with the required efficient solution. The uncertainty factor can be formulated using an uncertain SPP optimization model, assuming parameters that are not known with certainty but are in an uncertain set. Problems with uncertainty in mathematical optimization can be solved using Robust Optimization (RO). RO is a methodology in dealing with the problem of data uncertainty caused by errors in data measurement. The uncertainty in the linear optimization problem model can be formed by loading the uncertainty that only exists in the constraint function by assuming its uncertainty using the Robust Counterpart (RC) methodology. In this paper, we will review the literature on the two-stage optimization model for the SPP problem using an Adjustable Robust Counterpart (ARC).</span>Wida Nurul FauziyahDiah ChaeraniHerlina Napitupulu
Copyright (c) 2023 Wida Nurul Fauziyah
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2023-05-242023-05-247456858410.18860/ca.v7i4.17648On the study of Rainbow Antimagic Coloring of Special Graphs
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17836
<p class="Abstract">Let be a connected graph with vertex set and edge set . The bijective function is said to be a labeling of graph where is the associated weight for edge . If every edge has different weight, the function is called an edge antimagic vertex labeling. A path in the vertex-labeled graph , with every two edges satisfies is said to be a rainbow path. The function is called a rainbow antimagic labeling of , if for every two vertices , there exists a rainbow path. Graph admits the rainbow antimagic coloring, if we assign each edge with the color of the edge weight . The smallest number of colors induced from all edge weights of edge antimagic vertex labeling is called a rainbow antimagic connection number of , denoted by . In this paper, we study rainbow antimagic connection numbers of octopus graph , sandat graph , sun flower graph , volcano graph and semi jahangir graph Jn.</p>Dafik DafikRiniatul Nur WahidahErmita Rizki AlbirriSharifah Kartini Said Husain
Copyright (c) 2023 Dafik Dafik, Riniatul Nur Wahidah, Ermita Rizki Albirri, Sharifah Kartini Said Husain
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2023-05-242023-05-247458559610.18860/ca.v7i4.17836On the Dominant Local Resolving Set of Vertex Amalgamation Graphs
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/18891
<p>Basically, the new topic of the dominant local metric dimension which be symbolized by Ddim_l (H) is a combination of two concepts in graph theory, they were called the local metric dimension and dominating set. There are some terms in this topic that is dominant local resolving set and dominant local basis. An ordered subset W_l is said a dominant local resolving set of G if W_l is dominating set and also local resolving set of G. While dominant local basis is a dominant local resolving set with minimum cardinality. This study uses literature study method by observing the local metric dimension and dominating number before detecting the dominant local metric dimension of the graphs. After obtaining some new results, the purpose of this research is how the dominant local metric dimension of vertex amalgamation product graphs. Some special graphs that be used are star, friendship, complete graph and complete bipartite graph. Based on all observation results, it can be said that the dominant local metric dimension for any vertex amalgamation product graph depends on the dominant local metric dimension of the copied graphs and how the terminal vertex is constructed</p>Reni UmilasariLiliek SusilowatiS SlaminSavari Prabhu
Copyright (c) 2023 Reni Umilasari, Liliek Susilowati, S Slamin, Savari Prabhu
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2023-05-242023-05-247459760710.18860/ca.v7i4.18891Covid-19 Data Analysis in Tarakan with Poisson Regression and Spatial Poisson Process
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/19653
<p class="Abstract">COVID-19 entered Indonesia in March 2020 and included North Kalimantan Province, Tarakan. COVID-19 cases have outspread in Tarakan. The cause of the outspread and the patterns were not known yet. One relevant approach was to use Generalized Linear Models. The two methods are Poisson Regression and Stochastic with Spatial Poisson Process. The variables used were rainfall, population density, and temperature in each village in Tarakan. The Poisson Regression analysis founds that only one factor affected temperature. Then, the results were refined with the Spatial Poisson Process, where in addition to the influencing factors also, the distribution patterns are obtained. The analysis showed that the pattern of case distribution was included in the non-homogeneous Poisson process criteria. Then the model of the case density intensity was obtained using regression. From the model, it was known that the covariate variables significantly influence rainfall and temperature. Compared with general Poisson regression analysis, the results showed that only the average temperature variables had a significant effect. Thus, a better method was used, namely the Spatial Poisson Process. It was also shown by the two models' AIC values, where the AIC value of the Spatial Poisson Process model was smaller than the Poisson Regression.</p>A'yunin SofroIka Nurwanitantya WardaniKhusnia Nurul Khikmah
Copyright (c) 2023 A'yunin Sofro, Ika Nurwanitantya Wardani, Khusnia Nurul Khikmah
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2023-05-242023-05-247460862110.18860/ca.v7i4.19653The Distance Irregular Reflexive k-Labeling of Graphs
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/19747
A total k-labeling is a function fe from the edge set to the set {1, 2, . . . , ke} and a function fv from the vertex set to the set {0, 2, 4, . . . , 2kv}, where k = max{ke, 2kv}. A distance irregular reflexive k-labeling of the graph G is the total k-labeling, if for every two different vertices u and u 0 of G, w(u) 6= w(u 0 ), where w(u) = Σui∈N(u)fv(ui) + Σuv∈E(G)fe(uv). The minimum k for graph G which has a distance irregular reflexive k-labelling is called distance reflexive strength of the graph G, denoted by Dref (G). In this paper, we determine the exact value of distance reflexive strength of some connected graphs, namely path, star, and friendship graph.Ika Hesti AgustinDafik DafikN. MohanapriyaMarsidi MarsidiIsmail Naci Cangul
Copyright (c) 2023 Ika Hesti Agustin, Dafik Dafik, N. Mohanapriya, Marsidi Marsidi, Ismail Naci Cangul
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2023-05-242023-05-247462262910.18860/ca.v7i4.19747Determination of Term Life Insurance Premiums with Varying Interest Rates Following The CIR Model and Varying Benefits Value
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/20542
<p>Term life insurance is an insurance that provides protection for a certain period that has been agreed upon in the policy. The policy is an agreement that contains the participant's obligation to pay premiums contributions to the insurance company and the insurance company's obligation to pay benefits in the event of a risk to the insurance participant as agreed in the policy. Interest rates will influence the calculation of premium value and benefits in the long term. So we need a model of interest rates that will change by time. One of the models that can be used is the CIR model. This research purposes to simulate the CIR model that will be carried out to determine interest rates for calculating term life insurance premiums for five years, with premiums paid at the beginning of the 1/m interval or monthly premium payments and benefits paid at the end of the 1/m interval when the participant dies. The case that will be discussed is when the benefit various. The results of this study are the CIR model can be applied to calculate the term life insurance premiums for five years and the premium calculation results show that the amount of the premium increase every year with varying benefits.</p>Dian PuspitaI Gusti Putu PurnabaDonny Citra Lesmana
Copyright (c) 2023 Dian Puspita
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2023-05-242023-05-247463064010.18860/ca.v7i4.20542Comparing Several Missing Data Estimation Methods in Linear Regression;Real Data Example and A Simulation Study
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/20548
Analysis on incomplete could lead to biased estimation when using standard statistical procedure since it ignores the missing observations. The disadvantage of ignoring missing data is that the researcher might not have enough data to conduct an analysis. The main objective of the study is to compare the performance between listwise deletion (LD), mean substitution (MS) and multiple imputation (MI) method in estimating parameters. The performance will be measured through bias, standard error and 95% confidence interval of interested estimates for handling missing data with 10% missing observations. A complete empirical data set was used and assumed as population data. Ten percent of total observations in the population ere set as missing arbitrarily by generating random numbers from a uniform distribution, . Then, bias of parameter estimates and confidence interval of parameter estimates are calculated to compare the three methods. A Monte Carlo simulation was carried out to know the properties of missing data and investigated using simulated random numbers. Simulation of 1000 sampled data with 20, 50, and 100 observations and each sample is set to have 10% missing observations. Standard statistical analyses are run for each missing data and get the average of parameter estimates to calculate the bias and standard error of parameter estimates for every missing data method. The analysis was conducted by using SAS version 9.2. It was found that the MI method provided the smallest bias and standard error of parameter estimates and a narrower confidence interval compared to the LD and MS methods Meanwhile, the LD method gives a smaller bias of parameter estimates and standard error for small sample size of missing data. And, MS method is strongly recommended not to use for handling missing data because it will result in large bias and standard error of parameter estimates.Anwar FitriantoJap Ee JiaBudi SusetyoLa Ode Abdul Rahman
Copyright (c) 2023 Anwar Fitrianto, Jap Ee Jia, Budi Susetyo, La Ode Abdul Rahman
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2023-05-242023-05-247464164810.18860/ca.v7i4.20548