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Majalah Ilmiah Matematika dan Statistika (MIMS)
Published by Universitas Jember
ISSN : 14116669     EISSN : 27229866     DOI : https://doi.org/10.19184
Core Subject : Education,
Mathematics
The aim of this publication is to disseminate the conceptual thoughts or ideas and research results that have been achieved in the area of mathematics and statistics. MIMS, focuses on the development areas sciences of mathematics and statistics as follows: 1. Algebra and Geometry; 2. Analysis and Modelling; 3. Graph Theory and Combinatorics; 4. Computer Science and Big Data; 5. Application of Mathematics and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 100 Documents
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A Menezes Vanstone Cryptosystem Santoso, Kiswara Agung
Majalah Ilmiah Matematika dan Statistika Vol 15 No 2 (2015): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v15i2.23724

Abstract

Many kinds of cryptosystem models we have known. Generally if input of plaintext is alphabet so ciphertext is alphabet or real number that can be transform to alphabet. This paper will introduce a type of cryptosystem that have special output. It model is Menezes Vanstone cryptosystem. The plaintext of its method is pair of real number and ciphertext was produced is pair of real number too. If we want to know the meaning of ciphertext have to transform from real number to alphabet.
Determination of All Minimum Spanning Tree on Weighted Connected Graph Hartati, Tri; Ubaidillah, Firdaus; Kamsyakawuni, Ahmad
Majalah Ilmiah Matematika dan Statistika Vol 15 No 2 (2015): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v15i2.23722

Abstract

Minimum Spanning Tree is spanning tree with minimum weigth. There are algorithms was used to get MST, include Kruskal’s Algorithm and Prim’s Algorithm. But all of that just give one solution, although MST problems have many solution. The ways to get all of MST from a simple weighted connected graph G can do by: the first, decide reference MST, is one of MST from G. Then choose all edges of graph G which use in MST. Futhermore decide equivalen class from every edges in graph G is not contained in reference MST with less weight or equal maximum weight in reference MST and decide choosen subset. Combinating choosen subset so getting all of MST from random simple weighted connected graph. There are two special criteria in decision all MST of simple weighted connected graph, are decision all MST with combine choosen edge is not make cycle and decision all MST with combine choosen edge make cycle. The purposes are counting and getting all MST which formed by a random simple weighted connected graph.
The Application of the Regression Method with Tree Structure on the Estimation of the Student Thesis Duration Dewi, Theresia Trias Candra; Dewi, Yuliani Setia; Pradjaningsih, Agustina
Majalah Ilmiah Matematika dan Statistika Vol 17 No 1 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i1.23751

Abstract

The tree regression is one of the regresion methods that can be used to find out the influence of independent X variable to the dependent Y variable. The tree regression method analyzes data by doing step by step isolation. The prunning tree process is used in order to get the optimal tree size. Prunning tree is done based on cost complexity. This paper is written in order to apply the tree regression method in data of graduated student from Faculty of MIPA at 2001-2005 that used to find out the variable which has an influence to the long student minithesis. The research result shows that the long student minithesis is influenced by GPA and department.
Upper Radical and Lower Radical Pradjaningsih, Agustina
Majalah Ilmiah Matematika dan Statistika Vol 16 No 2 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v16i2.23742

Abstract

The attribute of Radical is expansion from ring character. This radical attribute could classified became two class of radical. That were upper radical and lower radical. This article will tell about two class of those radicals. Finally, from upper radical and lower radical concept could reborn the others radicals characters, which were essentially based from those two types of radicals.
Limit Cycle Equation Van Der Pol and Duffing Equation Ursulasari, Yuan; Hasan, Moh.
Majalah Ilmiah Matematika dan Statistika Vol 16 No 1 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v16i1.23729

Abstract

Van der Pol Equation and Duffing Equation are the second order differential equation which are read as x '' µ ( x 2  1 ) x ' + x = 0 and x ' '  kx' - x + x3 = F cos( w t ) . The aim of this paper is to study about the limit cycle of both equations. The discussion will be focused on the existence and the stability of the limit cycle and also the difference between the limit cycle of van der Pol equation and the Duffing equation. The results are limit cycle exist in van der Pol equation and Duffing equation. The form of limit cycle of the van der Pol equatuon is depended to the µ values and the the form of limit cycle of the Duffing equation is depended to the k, F, and w values. The difference of both equations is that van der Pol equation is globally stable while the Duffing equation is locally stable. Duffing equation may be having more than one limit cycle while van der Pol equation can only has single limit cycle.
PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD Zahroh, Millatuz
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (2021): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v21i1.23650

Abstract

Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed. Some stage have been passed, using reciprocal relation to approximate boundary integral and domain integral in modified Helmholtz equation . Until, linear equation system are obtained in matrix form. MATLAB is used to calculate the solutions of Solutions of are compared between the exact solution and the numerical solution of modified Helmholtz equation. The numerical results are based on the using of three types of radial basis function to approximate domain integral, such as polinomial, poliharmonik spline and linear types. The solutions show that the polinomial and poliharmonik spline types are more stable and approach to exact solution than linear types.
Algebratic Properties Of Residu Quadratic Codes Expanded Kusbudiono, Kusbudiono; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 17 No 2 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i2.23757

Abstract

In code theory one of the important code types is binary code. At binary field till, there is a residu quadratic and a permutation defined with residu quadratic can form a code called residu quadratic code. This code can be extended. In this paper, we discuss the propertis of group of it.
BI-DIMENSI METRIK DARI GRAF ANTIPRISMA Hendy, Hendy; Marzuki, M. Ismail
Majalah Ilmiah Matematika dan Statistika Vol 20 No 2 (2020): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v20i2.19639

Abstract

Let G = (V, E) be a simple and connected graph. For each x ∈ V(G), it is associated with a vector pair (a, b), denoted by S x , corresponding to subset S = {s1 , s2 , ... , s k } ⊆ V(G), with a = (d(x, s1 ), d(x, s2 ), ... , d(x, s k )) and b = (δ(x, s1 ), δ(x, s2 ), ... , δ(x, s k )). d(v, s) is the length of shortest path from vertex v to s, and δ(v, s) is the length of the furthest path from vertex v to s. The set S is called the bi-resolving set in G if S x ≠ S y for any two distinct vertices x, y ∈ V(G). The bi- metric dimension of graph G, denoted by β b (G), is the minimum cardinality of the bi-resolving set in graph G. In this study we analyze bi-metric dimension in the antiprism graph (A n ). From the analysis that has been done, it is obtained the result that bi-metric dimension of graph A n , β b (A n ) is 3. Keywords: Antiprism graph, bi-metric dimension, bi-resolving set. .
Max Plus Algebra and It’s Aplication: Model of Simple Production System Nasrulyati, Tri Siwi
Majalah Ilmiah Matematika dan Statistika Vol 17 No 1 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i1.23747

Abstract

This paper discusses the basic understanding of max plus algebra and an example of its application will be given. Next will be discussed a simple production system model with three machines.
Analisis Biplot Untuk Mendeskripsikan Ciri-Ciri Kecamatan-Kecamatan di Kabupaten Jember Dewi, Yuliani Setia; Andayani, Nonik
Majalah Ilmiah Matematika dan Statistika Vol 15 No 2 (2015): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v15i2.23725

Abstract

This research aims to describe subdistricts’ characteristics in Jember districts based on society prosperity indicators by using biplot analysis. Biplot analysis is the method of analysis presenting position of n relative object of observation with p variable simultaneously in two dimensions. Biplot analysis with exploration approach through a concept of object relative distance and variable, can be made as suggestions to develop subdistricts in achieving society prosperity. From the result of biplot analysis, it can be obtained that there is a correlation of each society prosperity indicators. According to subdistrict’s characteristics, it can be known about change happened, that is if family planning programme is success for certain subdistricts in the year of 2000, so family planning programme has spread almost throughout all subdistricts in the year of 2001.

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