Journal of Fundamental Mathematics and Applications (JFMA)
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BEBERAPA KELAS RUANG BARISAN SELISIH DIPERUMUM TIPE CESARO
Get PDFIn this paper, we discuss about some classes of Cesaro Generalized differencesequence spaces. We observe their completeness and the relationships betweenthem. At the end of this paper, we construct the Kothe-Toeplitz dual of some class of Cesaro difference sequence spaces
MODEL KERUGIAN AGGREGAT UNTUK JAMINAN KECELAKAAN KERJA BERDASARKAN SIMULASI
Get PDFAbstract. Work Accident Insurance is a benefit in the form of cash and or health services provided when the participant guarantees a work accident that occurs in the work environment or on the road while doing work. This study discusses how to obtain an aggregate loss model for a work accident insurance based on a simulation. In the field of aggregate loss insurance is the total loss suffered by the insured that must be borne by the insurance company within a certain period. The data used are secondary data obtained from various journals and official websites of hospitals and the government. The purpose of this study was to determine the measures in the distribution model of the aggregate loss to the premium for a work accident insurance. The aggregate loss model in this study is divided into 3 cases, namely, the case of fixed costs, the case of random costs, and the case of random costs with the influence of present value. To get the best distribution results, 10,000 simulations were carried out, from the 3 simulated cases, the average reserve fund from work accident insurance was 26674.53 (in million rupiah). In addition, the average premium that each policyholder must find per month is 0.008405135 (in million rupiah). After the Kolmogorov - Smirnov test was carried out, the p-value was greater than the value of 0.05 so that it was known that the best distribution model was Normal.Abstrak. Jaminan Kecelakaan Kerja adalah manfaat berupa uang tunai dan atau pelayanan kesehatan yang diberikan pada saat peserta jaminan mengalami kecelakaan kerja yang terjadi di lingkungan kerja maupun di jalan saat sedang melakukan pekerjaan. Penelitian ini membahas tentang bagaimana memperoleh model kerugian aggregat suatu jaminan kecelakaan kerja berdasarkan simulasi. Dalam bidang asuransi kerugian aggregat adalah total kerugian yang dialami oleh tertanggung yang harus ditanggung oleh perusahaan asuransi dalam suatu periode waktu tertentu. Data yang digunakan adalah data sekunder yang diperoleh dari berbagai jurnal dan web resmi rumah sakit dan pemerintah. Tujuan dari penelitian ini adalah untuk mengetahui ukuran-ukuran dalam model distribusi kerugian aggregat hingga premi untuk suatu jaminan kecelakaan kerja. Model kerugian aggregat pada penelitian ini dibagi atas 3 kasus yaitu, kasus biaya tetap, kasus biaya acak, dan kasus biaya acak dengan pengaruh present value. Untuk mendapatkan hasil distribusi yang terbaik dilakukan 10000 kali simulasi, dari 3 kasus yang telah disimulasikan diperoleh rata – rata dana cadangan dari jaminan kecelakaan kerja yaitu sebesar 26674.53 (dalam juta rupiah). Selain itu, diperoleh juga rata – rata besar premi yang harus dibayarkan oleh setiap pemegang polis per bulan yaitu sebesar 0.008405135 (dalam juta rupiah). Setelah itu dilakukan uji Kolmogorov – Smirnov hingga didapat nilai p-value yang lebih besar dari nilai 0.05 sehingga diketahui bahwa model distribusi terbaik adalah Normal
IMPLEMENTATION OF EXTENDED FINITE ELEMENT METHOD IN CRACK PROPAGATION OF CONCRETE
Get PDFThe Extended Finite Element Method is a numerical solution based on the Finite Element Method (FEM) XFEM has really become a very important generalization of classical finite element techniques, by establishing a mesh independent generalization of classical finite elements to reduce the mesh-dependent shortcomings of the solution. The application of XFEM in crack simulation should improve the modeling of the crack tip environment and also apply to generalized advanced global failure criteria, which is specifically designed to deal with problems in the engineering field Such as the fracture behaviour model. The purpose of this paper is to identify the application of the Extended Finite Element Method to a technical problem, namely fracture behaviour model. The media used is pure boneless concrete modelled with COMSOL Multiphysics 5.6 software by combining stress ratio, lateral strain due to axial loading, concrete density, and crack growth rate. The crack growth process provides initial prolonged growth along with the increase in crack size. In the end, the growth is faster. The reason for this accelerated growth is the stress intensity factor at the crack tip. As the crack grows, the stress intensity factor increases, leading to faster growth. The crack grows until it reaches a critical value, and fracture occurs. The test results obtained the cause of failure: the critical stress intensity is exceeded. See a comparison of crack size and stress cycle as the crack size increases. This accelerated growth is because the growth rate depends on the stress intensity factor at the crack tip, and the stress intensity factor depends on the crack size. As the crack grows, the stress intensity factor increases, leading to faster growth. The crack grows to a critical size, and failure occurs. The results show a relatively strong relationship between increasing crack size and increasing crack growth rate
ANALISIS KEPUASAN NASABAH TERHADAP FAKTOR-FAKTOR LAYANAN PERBANKAN MENGGUNAKAN METODE FUZZY-SERVQUAL PADA BCA TEGAL
Get PDFBagi perusahaan yang bergerak di bidang jasa perbankan, kemampuan BCA Tegal untuk memberikan layanan yang baik kepada konsumen adalah hal yang krusial untuk diperhatikan guna dapat bertahan dalam persaingan bisnis. Peningkatan kualitas layanan wajib untuk terus diupayakan guna nasabah tidak berpaling dari BCA Tegal. Penelitian ini bertujuan untuk mengetahui layanan perbankan yang berpengaruh terhadap kepuasan nasabah dan yang perlu diprioritaskan untuk ditingkatkan agar nasabah BCA Tegal merasa puas dengan pelayanan. Kepuasan diukur melalui faktor-faktor dan atribut-atribut layanan perbankan yang ada di BCA Tegal. Digunakan sampel sebanyak 170 responden dari nasabah BCA Tegal. Metode analisis yang digunakan dalam penelitian adalah Fuzzy Service Quality. Hasil analisis dalam penelitian menunjukkan bahwa terdapat atribut dan faktor yang perlu untuk ditingkatkan guna memberikan layanan yang berkualitas. Layanan yang paling berpengaruh untuk kepuasan nasabah ada pada faktor assurance (jaminan). Sementara itu, layanan yang perlu untuk ditingkatkan adalah faktor responsiveness (daya tanggap)
DIAMETER DAN GIRTH GRAF NILPOTEN RING MATRIKS
Get PDFDiberikan suatu graf sederhana . Diameter graf merupakan jarak terbesar sebarang dua titik di . \textit{Girth} graf adalah panjang sikel terpendek di graf . Misalkan suatu ring dengan elemen satuan. merupakan himpunan nilpoten di . merupakan himpunan semua di dengan nilpoten pada , untuk di . Graf nilpoten, , merupakan graf dengan himpunan titiknya adalah , dan dua titik yang berbeda bertetangga jika dan hanya jika nilpoten di . Pada tulisan ini diberikan beberapa karakterisasi terkait diameter dan \textit{girth} graf nilpoten pada ring matriks atas lapangan . Diberikan lapangan , diameter graf adalah , untuk dan diameter graf adalah . Serta jika suatu lapangan dan , maka girth graf adalah
Ruang Barisan Selisih Diperumum Tipe Cesaro pada Ruang Bernorma-n
Get PDFPada tulisan ini dibahas mengenai beberapa kelas ruang barisan selisih diperumum Cesaro pada ruang bernorma-n. Diselidiki kelengkapan masing-masing kelas dan hubungan antar kelas. Pada akhir tulisan ini, dikonstruksikan dual Kothe-Toeplitz dari beberapa ruang barisan selisih diperumum Cesaro pada ruang bernorma-n.Pada tulisan ini dibahas mengenai beberapa kelas ruang barisan selisih diperumum Cesaro pada ruang bernorma-n. Diselidiki kelengkapan masing-masing kelas dan hubungan antar kelas. Pada akhir tulisan ini, dikonstruksikan dual Kothe-Toeplitz dari beberapa ruang barisan selisih diperumum Cesaro pada ruang bernorma-n
ROUGH RINGS, ROUGH SUBRINGS, AND ROUGH IDEALS
Get PDFThe basic concept in algebra that is set theory can be expanded into rough sets. Basic operations on the set such as intersections, unions, differences, and complements can still apply to rough sets. In addition, one of the applications of rough sets is the use of rough matrices in decision making. Furthermore, mathematical or informatics researchers who work on rough sets connect the concept of rough sets with algebraic structures (groups, rings, and modules) so that a concept called rough algebraic structures is obtained. Since the research related to rough sets is mostly carried out at the same time, different concepts have emerged related to rough sets and rough algebraic structures. In this paper, other definitions of rough ring and rough subring will be given along with related examples and theorems. Furthermore, it will also be defined the left ideal and the right ideal of the rough ring along with examples. Finally, we will discuss the theorem regarding rough ideals
SOME NEW REMARKS ON POWER SUMS
Get PDFPower sum is one of the interesting topics in number theory where its application in other sciences is known to be wide. This paper intends to stipulate new remarks on an explicit polynomial solution to power sums. Additionally, it investigates the general solution under odd and even numbers of terms and discusses some examples
GENERALIZED NON-BRAID GRAPHS OF RINGS
Get PDFIn this paper, we introduce the definition of generalized non-braid graph of a given ring. Let be a ring and let be a natural number. By generalized braider of we mean the set . The generalized non-braid graph of , denoted by , is a simple undirected graph with vertex set and two distinct vertices and are adjacent if and only if . In particular, we investigate some properties of generalized non-braid graph of the ring
ON CYCLIC DECOMPOSITION OF Z-MODULE M_{m×r}(Z_n)
Get PDFA torsion module over a principal ideal domain has special properties related to the way how it is decomposed either into primary or cyclic submodules. This paper carries out a special case of such module over the ring of integer, which consists of all matrices with entries from the set of integer modulo n. The result shows that its decomposition depends on the prime factors of n