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BAREKENG: Jurnal Ilmu Matematika dan Terapan
Published by Universitas Pattimura
ISSN : 19787227     EISSN : 26153017     DOI : https://search.crossref.org/?q=barekeng
Core Subject : Economy, Science, Education, Engineering,
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation
BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure Mathematics (analysis, algebra & number theory), - Applied Mathematics (Fuzzy, Artificial Neural Network, Mathematics Modeling & Simulation, Control & Optimization, Ethno-mathematics, etc.), - Statistics, - Actuarial Science, - Logic, - Geometry & Topology, - Numerical Analysis, - Mathematic Computation and - Mathematics Education. The meaning word of "BAREKENG" is one of the words from Moluccas language which means "Counting" or "Calculating". Counting is one of the main and fundamental activities in the field of Mathematics. Therefore we tried to promote the word "Barekeng" as the name of our scientific journal also to promote the culture of the Maluku Area. BAREKENG: Jurnal ilmu Matematika dan Terapan is published four (4) times a year in March, June, September and December, since 2020 and each issue consists of 15 articles. The first published since 2007 in printed version (p-ISSN: 1978-7227) and then in 2018 BAREKENG journal has published in online version (e-ISSN: 2615-3017) on website: (https://ojs3.unpatti.ac.id/index.php/barekeng/). This journal system is currently using OJS3.1.1.4 from PKP. BAREKENG: Jurnal ilmu Matematika dan Terapan has been nationally accredited at Level 3 (SINTA 3) since December 2018, based on the Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia, with Decree No. : 34 / E / KPT / 2018. In 2019, BAREKENG: Jurnal ilmu Matematika dan Terapan has been re-accredited by Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia and accredited in level 3 (SINTA 3), with Decree No.: 29 / E / KPT / 2019. BAREKENG: Jurnal ilmu Matematika dan Terapan was published by: Mathematics Department Faculty of Mathematics and Natural Sciences University of Pattimura Website: http://matematika.fmipa.unpatti.ac.id
Arjuna Subject : Matematika - Matematika Terapan
Articles 8 Documents
 1 
Search results for , issue "Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan" : 8 Documents clear
TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT Talakua, Mozart W.; Nanuru, Stenly J.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (874.689 KB) | DOI: 10.30598/barekengvol5iss2pp1-8

Abstract

Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representationtheorem. This research contains some supporting definitions Banach space, pre-Hilbert spaces, Hilbert spaces, the duality of Banach and Riesz-Fréchet representation theorem. On Riesz-Fréchet representation theorem will be shown that a continuous linear functional that exist in the Hilbert space is an inner product, in other words, there is no continuous linear functional on a Hilbert space except the inner product.
ANALISIS MODULUS ELASTISITAS DAN ANGKA POISSON BAHAN DENGAN UJI TARIK SOUISA, MATHEUS
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (464.36 KB) | DOI: 10.30598/barekengvol5iss2pp9-14

Abstract

Observation of the stress and strain in materials steel, brass and anneal is done by testing to determine the tensile modulus of elasticity of the material. The results showed that the modulus of elasticity of the material brass is smaller than the brass alloy steel and steel materials, caused by the formation of the composition of the material is different. The relationship between stress and strain are used to gain slope value, and this value used to determine the modulus of elasticity of steel materials, brass and anneal. The analysis showed that the magnitude of the modulus of elasticity of brass material brass=(20.10  1.60) x109 Pa, anneal materials anneal=(68.10  2.20) x109 Pa, and steel materials steel=(201, 00  5.30) x109 Pa. The results of tensile tests conducted on all three materials can be used to determine the comparative figures Poisson. The analysis showed the amount of comparative figures in steel material Poisson msteel=0.106  0.002, brass material mbrass=0.104  0.002 and anneal materials manneal=0.103  0.005. Figures Poisson appeal on steel materials is greater than the brass and anneal
KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT Rijoly, Monalisa E.; Wattimanela, Henry J.; Matakupan, Rudy W.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (633.608 KB) | DOI: 10.30598/barekengvol5iss2pp15-24

Abstract

Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequality of Gronwall-Bellman shows that if a function is bounded to a certain integral values then that function is also bounded for the other conditions, that is the exponential of integral. Furthermore, by adding some specific conditions the integral inequality of Gronwall-Bellman can be extended to the case of power functions.
MODEL GEOGRAPHICALLY WEIGHTED POISSON REGRESSION DENGAN PEMBOBOT FUNGSI KERNEL GAUSS Aulele, Salmon N.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (525.964 KB) | DOI: 10.30598/barekengvol5iss2pp25-30

Abstract

Kematian bayi adalah suatu kematian yang dialami anak sebelum mencapai usia satu tahun. Angka kematian bayi (AKB) adalah besarnya kemungkinan bayi meninggal sebelum mencapai usia satu tahun, dinyatakan dalam perseribu kelahiran hidup. Analisis regresi merupakan analisis statistik yang bertujuan untuk memodelkan hubungan antara variabel respon dengan variabel prediktor. Apabila variabel respon berdistribusi Poisson, maka model regresi yang digunakan adalah regresi Poisson. Geographically Weighted Poisson Regression (GWPR) adalah bentuk lokal dari regresi Poisson dimana lokasi diperhatikan yang berasumsi bahwa data berdistribusi Poisson. Dalam penelitian ini akan mengetahui faktor-faktor apa saja yang mempengaruhi jumlah kematian bayi di Provinsi Jawa Timur dengan menggunakan model GWPR dengan menggunakan pembobot fungsi kernel gauss. Hasil penelitian menunjukan bahwa secara keseluruhan faktor-faktor yang mempengaruhi jumlah kematian bayi di Jawa Timur berdasarkan model GWPR dengan pembobot fungsi kernel gauss adalah persentase persalinan yang dilakukan dengan bantuan tenaga non medis (X1), rata-rata usia perkawinan pertama wanita (X2), rata-rata pemberian ASI ekslusif (X4) dan jumlah sarana kesehatan (X7). Berdasarkan variabel yang signifikan maka kabupaten/kota di Jawa Timur dapat dikelompokan menjadi 2 kelompok. Dengan membandingkan nilai AIC antara model regresi Poisson dan model GWPR diketahui bahwa model GWPR dengan pembobot fungsi kernel Gauss merupakan model yang lebih baik digunakan untuk menganalisis jumlah kemtian bayi di Propinsi Jawa Timur tahun 2007.
PROYEKSI PENDUDUK BERLIPAT GANDA DI KABUPATEN MALUKU TENGAH Tipka, Jefri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (406.708 KB) | DOI: 10.30598/barekengvol5iss2pp31-34

Abstract

Indonesia masih merupakan Negara dengan jumlah penduduk terbesar ke-4 di dunia setelah Cina, India, Amerika Serikat. Laju pertumbuhan penduduk 1,35% rata-rata pertahun dan diperkirakan akan mencapai 400 juta jiwa pada tahun 2050 (Gambaran penduduk Indonesia di awal melenium III Badan Kependudukan Nasional, Jakarta 2002). Untuk itu laju pertumbuhan penduduk masih harus ditekan. Semakin rendahnya tingkat mortalitas sebagai akibat dari meningkatnya kondisi kesehatan masyarakat, hal ini berdampak pada meningkatnya penduduk usia produktif (15 – 64 tahun) dan penduduk usia lanjut (65+ tahun).Meningkatnya penduduk usia lanjut (lansia) maka sasaran pelayanan penduduk perlu diperluas tidak saja pada bayi, balita dan orang dewasa; tetapi penduduk lansia harus mendapatkan perlakuan khusus. Kabupaten Maluku tengah merupakan bagian dari Provinsi Maluku yang memiliki jumlah penduduk yang sangat besar di Provinsi Maluku.
APLIKASI FUZZY PADA PERMASALAHAN PROGRAM TAK-LINIER Wattimena, Abraham Z.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (430.088 KB) | DOI: 10.30598/barekengvol5iss2pp35-38

Abstract

One of the most purpose of non linear programing is to determine the optimal solution of its objective function. If the objective function of a certain non linear programing only possess a uniqe value function, it is easy to calculate its optimal solution. However, if the objective function of non linier programing possess multi functions, so there are two possibilities to determine their optimal solutions. Theses depend on whether there are conflic among them or not. In order to make them more easier, the fuzzy parameter could be applied to calculate the optimal solution.
ANALISA KESTABILAN MODEL PENYEBARAN PENYAKIT RABIES Rumlawang, Francis Y.; Nanlohy, Mario I.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (711.033 KB) | DOI: 10.30598/barekengvol5iss2pp39-44

Abstract

Rabies is a dangerous disease that can cause death due to rabies virus attacks the spinal cord of the infected and can cause paralysis. But if it enters the limbic system or midbrain, it will cause aggression and loss of sense. The widespread dissemination of this disease is growth increasingly. This research will discuss about the model of the spread rabies and then analyze stability of this model by using simple epidemiological model to determine the initial equilibrium point and eigenvalues, which would be analyzed the stability of this model. This model has two main variables and , where is the susceptible and is the infectives. This research found the stability model at ( ) equilibrium point with the value of parameter is √ .
SEMIRING Lisapaly, Susan R.; Persulessy, Elvinus R.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 5 No 2 (2011): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Publisher : MATHEMATIC DEPARTMENT, FACULTY OF MATHEMATICS AND NATURAL SCIENCES, UNIVERSITY OF PATTIMURA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (335.209 KB) | DOI: 10.30598/barekengvol5iss2pp45-47

Abstract

Dalam aljabar, semiring merupakan suatu struktur yang serupa dengan ring, tetapi tanpa syarat bahwa setiap elemen harus memiliki invers terhadap operasi penjumlahan. Jika pada ring, R,  adalah grup komutatif atau grup abelian maka pada semiring, S,  hanya membentuk monoid komutatif, yang berarti setiap elemennya tidak perlu memiliki invers terhadap operasi penjumlahan.

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