cover
Contact Name
Yuni Yulida
Contact Email
y_yulida@ulm.ac.id
Phone
+6281348054202
Journal Mail Official
epsilon@ulm.ac.id
Editorial Address
Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan
Location
Kota banjarmasin,
Kalimantan selatan
INDONESIA
Epsilon: Jurnal Matematika Murni dan Terapan
ISSN : 19784422     EISSN : 26567660     DOI : http://dx.doi.org/10.20527
Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational Mathematics
Articles 190 Documents
KLASIFIKASI PEMILIHAN PROGRAM STUDI DI FAKULTAS MIPA UNIVERSITAS LAMBUNG MANGKURAT MENGGUNAKAN REGRESI LOGISTIK MULTINOMIAL Silvi Risaria Dewi; Nur Salam; Dewi Sri Susanti
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 12, No 2 (2018): JURNAL EPSILON VOLUME 12 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (214.984 KB) | DOI: 10.20527/epsilon.v12i2.315

Abstract

Pengklasifikasian merupakan salah satu metode statistik dalam mengelompokkan suatu data yang disusun secara sistematis. Pengklasifikasian sering dijumpai dalam kehidupan sehari-hari, contohnya pengklasifikasian data pada bidang akademik, pada bidang sosial, pada bidang ekonomi dan pada bidang lainnya. Salah satu alat statistika untuk klasifikasi adalah model Regresi Logistik Multinomial. Tujuan dari penelitian ini adalah menerapkan metode Regresi Logistik multinomial untuk mengetahui kesesuaian pemilihan program studi pada mahasiswa FMIPA Universitas Lambung Mangkurat dengan variabel yang berpengaruh adalah Nilai UN Mahasiswa pada saat di Sekolah Menengah, Nilai Semester 1 Mahasiswa, Asal Sekolah dan Asal Daerah Mahasiswa. Metode penelitian yang digunakan bersifat studi literatur dan menguji data Mahasiswa Fakultas MIPA Universitas Lambung Mangkurat angkatan 2011-2014. Hasil dari penelitian ini adalah metode Regresi Logistik Multinomial dapat digunakan untuk klasifikasi kesesuaian dalam memilih program studi. Pada tingkat kepercayaan 90% dari 10 (sepuluh) variabel bebas yang digunakan terdapat 5 (lima) variabel yang mampu menjadi faktor yang berpengaruh yaitu Nilai Kalkulus 1, Nilai Biologi Umum, Nilai Fisika Dasar, Nilai Kimia Dasar dan Asal Sekolah Mahasiswa dan Pada tingkat kepercayaan 95% terdapat 3 (tiga) variabel yang mampu menjadi faktor yang berpengaruh yaitu Nilai Kalkulus 1, Nilai Biologi Umum dan Nilai Kimia Dasar. Kesesuaian Pemilihan Program Studi yang tertinggi terdapat pada Program Studi Fisika yaitu sebanyak 70% dan yang terendah terdapat pada Program Studi Biologi yaitu sebanyak 34,4%.Kata kunci: Klasifikasi, Regresi Logistik Multinomial, Program Studi
SIFAT TURUNAN PADA ALJABAR LIE AFFINE BERDIMENSI 6 Edi Kurniadi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (258.535 KB) | DOI: 10.20527/epsilon.v14i1.2198

Abstract

 In this paper we study that any derivation of affine Lie algebra of dimension 6, denoted by ,  is inner. We give another approach to prove it by direct computations of transformation matrix of derivation of . We show that transformation matrix for the derivation of any element in  equals to  transformation matrix of adjoint representation of its element. Furthermore, we  give an alternative to prove that  is Frobenius Lie algebra. Keywords :Affine Lie algebra, Derivation of a Lie algebra, Frobenius Lie algebra
HOMOMORFISMA DAN ANTI-HOMOMORFISMA DARI LEVEL SUBGRUP DALAM SUBGRUP FUZZY Achmad Riduansyah; Na'imah Hijriati; Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 2 (2015): JURNAL EPSILON VOLUME 9 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (194.848 KB) | DOI: 10.20527/epsilon.v9i2.15

Abstract

One development of algebra is to combine the concept of algebra with the concept of fuzzy set. Some researchers have also found the development of the fuzzy set in algebraic fields, including fuzzy subgroups. Furthermore, in the subgroup fuzzy known subgroup level is a subgroup of the group. This study proves the image and pre-image homomorphism and anti homomorphism of the subgroup level in fuzzy subgroups. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research conducted by some properties of image and pre-image homomorphism in the fuzzy subgroup is a fuzzy subgroup, a fuzzy subset of ββ is a fuzzy subgroup of ???????? if and only if the fuzzy subset level of bβ (ββ????????) is a subgroup of ????????, if ???????? group and subgrup from ???????? then there is a fuzzy βgubsubsup of so such that ββ???????? = ???????? for every ????????∈ [0,1] and the image and pre-image homomorphism and anti-homomorphism of the subgroup level are subgroup level.
PENGGUNAAN ALJABAR BOOLEAN DALAM MENGANALISIS KEGAGALAN PADA FAULT TREE ANALYSIS Mia Fitria; Faisal Faisal
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 3, No 2 (2009): JURNAL EPSILON VOLUME 3 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (323.284 KB) | DOI: 10.20527/epsilon.v3i2.41

Abstract

System is the dimension which it limited by rule and have certaincharacteristic. Execution of system do not always success, it is caused by somecomponent that causing fault at the system. Minimizing fault can be done bysearching the cause of the fault and then its construct to fault tree. Fault tree is a logic diagram that displays the connection between the fault event and the reason.The connection between the fault event and the reason can be described by ANDgate and OR gate. AND gate is used if all of the input occurs and OR gate is usedif at least one of the inputs occurs. To analyze fault tree, for the first it is changedto Boolean equation where AND gate and OR gate equivalent with product andsum operation in algebra.The methodology of this research is study of literature with search and collectall of the materials that are related with fault tree analysis and Boolean algebraand construct minimal cut set and minimal path set by using the construction offault tree which it is had and search the problem which it is solved by fault treeanalysis.Minimal cut set from a fault tree can be obtained by using Boolean algebra.But, not of all the rules of Boolean algebra are used. It is caused the fault at thedifferent of top event, so that different construction of fault tree for each differentfault. Minimal path set is obtained after getting the complement of minimal cut setwhich it get before and using some rules of Boolean algebra. From minimal cutset can be seen any kind of cause that can make the fault is happened and fromminimal path set can be seen any kind of cause that can make the fault is nothappened. Sum of minimal cut set and minimal path set are not always same foreach fault tree.
PENGEMBANGAN SISTEM PENGENALAN EKSPRESI WAJAH MENGGUNAKAN JARINGAN SYARAF TIRUAN BACKPROPAGATION (STUDI KASUS PADA DATABASE MUG) Zaenal Abidin
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 1 (2011): JURNAL EPSILON VOLUME 5 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (283.812 KB) | DOI: 10.20527/epsilon.v5i1.67

Abstract

Expression or expression is one form of nonverbal communication that is the result of one or more movements or position of the muscles on the face and can convey the state emotion from someone to the person who observes it. Through facial expressions, then it can understand the emotions that are churning on the individual self. Facial expression is one behavioral characteristics. Use of biometrics technology system with expression characteristics face allows to recognize a person's mood or emotion. The basic components of the system facial expression analysis is face detection, facial data extraction, and facial expressions recognition. Integral projection method is used for face detection system. The fisherface method with artificial neural network approach backpropagation can be used for recognition of expression face. This method is done by two-stage process ie PCA and LDA. Where is the calculation PCA is used to reduce dimensions, whereas LDA is used to extract traits facial expression of each image. The study was conducted on the MUG that obtained the results recognition rate of 98.09%, and false positive 5.
IDEAL FUZZY NEAR-RING Saman Abdurrahman; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 6, No 2 (2012): JURNAL EPSILON VOLUME 6 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (314.346 KB) | DOI: 10.20527/epsilon.v6i2.83

Abstract

In this paper will be discussed ideal near-ring, ideal fuzzy near-ring covering the relationship between ideal near-ring and ideal fuzzy near-ring.
JARINGAN SYARAF TIRUAN RADIAL BASIS PROBABILISTIC UNTUK IDENTIFIKASI MORFOLOGI BENIH PADI Oni Soesanto; Didin H Musrsyidin
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 2 (2013): JURNAL EPSILON VOLUME 7 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (308.251 KB) | DOI: 10.20527/epsilon.v7i2.94

Abstract

Artificial neural vision and digital image processing machines are alternative methods that can be done to identify and evaluate the diversity of rice varieties. In contrast to direct observational methods that have high levels of subjectivity and chemical methods (PCRs) that are both destructive and expensive, neural network-based visioning machines offer rapid, practical, inexpensive and accurate identification and evaluation systems, and are non-destructive. This paper discusses artificial neural network based vision technology as an alternative technology for the identification of South Kalimantan swamp varieties based on morphological features, ie area, perimeter, major axis, minor axis, circularity, aspect ratio, roundness and feret for each seed sample rice. In this paper, the identification system of rice seed varieties using Radial Basis Probabilistic (RBP) neural network with optimization of hidden center weight using Orthogonal Least Square (OLS) algorithm. From the learning process, the training performance is 88,329% and the testing performance is 88,2091%, with the success rate in the training process from each variety of Bayar Papuyu, Bayar Putih, Yellow Seed, White Seed, Ketan, Siam Gadis, Siam Unus and Karan Hamlet each of 100%; 92.59%; 88.89%; 92.59%, 92.59%, 81.48, 100%; and 100%. For the testing process the success rate of each variety is 100%; 87.50%; 88.89%; 100%, 88.89%, 88.89, 100%; and 100%.
APLIKASI METODE DEKOMPOSISI ADOMIAN UNTUK MENENTUKAN FORMULA TRANSFORMASI LAPLACE Aji Wiratama; Yuni Yulida; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (205.732 KB) | DOI: 10.20527/epsilon.v8i2.110

Abstract

In this paper we will discuss about Laplace transformation formation from solution of first order linear differential equation. One of the approaches to the solution of first-order linear differential equations can apply the Adomian decomposition method. The solution is written in an infinite series. Further, the solution uses the Adomian decomposition method and the exact solution obtained by the integration factor compared to the Laplace transform formula.
INVERS DARI MATRIKS SIRKULAN SIMETRIS ATAS SKEW FIELD Azizah azizah; Thresye Thresye; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 12, No 1 (2018): JURNAL EPSILON VOLUME 12 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (206.844 KB) | DOI: 10.20527/epsilon.v12i1.203

Abstract

Matriks adalah suatu susunan bilangan-bilangan atau disebut entri-entri yang disusun teratur berdasarkan baris dan kolom. Ada beberapa jenis matriks, diantaranya yaitu matriks simetris dan matriks sirkulan. Konsep dari suatu matriks sangat berguna dalam menyelesaikan beberapa permasalahan pada ilmu matematika. Salah satu masalah yang paling umum dalam matematika adalah menyelesaikan sistem persamaan linier. Penyelesaian permasalahan sistem persamaan linier dapat diselesaikan dengan menggunakan invers matriks. Setiap matriks yang nonsingular mempunyai invers. Begitu halnya dengan suatu matriks A sirkulan simetris juga mempunyai invers, yaitu matriks B, sehingga memenuhi sifat ????????????????= ???? ???? =????????. Invers dari suatu matriks bergantung pada determinan dari matriks tersebut. Sedangkan determinan suatu matriks bergantung pada entri-entri matriks tersebut. Karena entri-entri matriks A dan B merupakan elemen dari skew field maka belum tentu berlaku ????????????????=???? ???? , sehingga jika ????????????????=???????? maka belum tentu berlaku ???? ???? =????????. Tujuan dari penelitian ini adalah menentukan invers dari matriks sirkulan simetris atas skew field. Metode yang digunakan bersifat studi literatur yang berkaitan dengan penelitian yang dilakukan. Hasil yang diperoleh adalah setiap matriks sirkulan simetris atas skew field memiliki invers sehingga berlaku ????????????????=???? ???? =????????.
APLIKASI PRINSIP INKLUSI EKSKLUSI DALAM METODE KOMBINASI SENSUS PENDUDUK 2020 Notiragayu Notiragayu; Amanto Amanto; Dorrah Aziz
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 13, No 2 (2019): JURNAL EPSILON VOLUME 13 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (241.689 KB) | DOI: 10.20527/epsilon.v13i2.1647

Abstract

The 2020 population census (SP 2020) uses a new method called the combination method by utilizing basic population registration data available at the Directorate General of Civil Registration, the community register independently (CAWI) and door to door data collection by officers (PAPI and CAPI). Data on the number, composition, distribution, and characteristics of the population with this new method is prone to overlapping, one data is counted several times which results in the calculation of bias from the actual amount. This paper shows how the principle of exclusion inclusion can be applied to overcome data that is counted several times. Keywords : combined method, overlapping, The Principle of Inclusion-Exclusion

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