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INTERVAL KEKONTRAKTIFAN PEMETAAN PADA RUANG BANACH Badrulfalah Badrulfalah
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 18 No. 02 (2017): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (781.766 KB) | DOI: 10.24036/eksakta/vol18-iss02/76

Abstract

Pemetaan tipe kondisi kontraktif merupakan perluasan dari pemetaan kontraktif. Ada beberapa bentuk tipe kondisi kontraktif. Masing-masing pemetaan tipe kondisi kontraktif dapat memiliki interval konstanta kekontraktifan berlainan. Pada makalah ini akan dibahas tentang interval konstanta kekontraktifan pemetaan pada ruang Banach khususnya pemetaan tipe kondisi kontraktif yang didefinisikan pada ruang Banach yang merupakan self mapping. Pembahasan dilakukan dengan menunjukkan bahwa fungsi kombinasi dari pemetan kondisi tipe kontraktif dengan koefisien tertentu, memenuhi teorema Fisher. Selanjutnya ditentukan interval kekontraktifan yang sesuai dengan kondisi konstanta kontraktif. Hasilnya adalah pada interval tertentu pemetaan tipe kondisi kontraktif terkait memiliki titik tetap tunggal
SUB RUANG TUTUP TOPOLOGI HASIL KALI RUANG METRIK KERUCUT Badrulfalah Badrulfalah
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 19 No. 1 (2018): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (733.019 KB) | DOI: 10.24036/eksakta/vol19-iss1/128

Abstract

Sebuah sifat topologi selain dapat dimiliki oleh suatu ruang topologi juga dapat dimiliki oleh subruang dari ruang topologi tersebut. Pada makalah ini akan dibahas tentang aksioma keterhitungan pertama pada topologi hasil kali ruang metrik kerucut, khususnya pada subruang tutup. Pembahasan dilakukan dengan menunjukkan bahwa setiap elemen dari setiap subruang tutup dari topologi hasil kali dua ruang metrik kerucut memiliki basis lokal terhitung. Hasilnya adalah setiap subruang tutup dari topologi hasil kali ruang metrik kerucut juga memenuhi aksioma keterhitungan pertama. Dengan kata lain keterhitungan pertama bersifat hereditas lemah.
Some Operations on Mixed Monotone Operator in Banach Spaces Badrulfalah Badrulfalah; I Irianingsih; Khafsah Joebaedi
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 19 No. 2 (2018): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (913.289 KB) | DOI: 10.24036/eksakta/vol19-iss2/150

Abstract

This paper discusses some operations on mixed monotone operator in Banach space, especially addition an multiplication operations. We will prove the sum and product of two mixed monotone operators. The proof using some relevant definitions. The result is the sum o of them is a mixed monotone operator and the product is too if both satisfy some conditions
First Order Space Time Autoregressive Stationary Model on Petroleum Data Khafsah Joebaedi; K Parmikanti; Badrulfalah Badrulfalah
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 19 No. 2 (2018): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1181.149 KB) | DOI: 10.24036/eksakta/vol19-iss2/152

Abstract

First order Space-Time Autoregressive model is one of the models which involves location and time. STAR(1;1) model stationary can be used to forecast future observation at a location based on one previous time of its own location and the spatial neighborhood. STAR(1;1) model on petroleum productivity data in Balongan, Indramayu, West Java with eigenvalue less than 1. It indicates that STAR (1;1) model on petroleum productivity data in Balongan, Indramayu, West Java meets the stationary requirement
Factors Affecting the Amount of Investment Loans in Commercial Banks with the Application of Linear Regression Analysis Methods Khafsah Joebaedi; D Susanti; N Warwah; K Parmikanti; Badrulfalah Badrulfalah
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 20 No. 1 (2019): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (852.161 KB) | DOI: 10.24036/eksakta/vol20-iss1/172

Abstract

Several factors can affect the amount of investment credit issued by the bank. This study discusses the effect of interest rates, inflation rates, capita income, and the number of medium-large industries on the number of investment loans, using the method of linear regression analysis. The independent variables examined to determine the influence of each and all the independent variables on the number of investment loans in commercial banks, namely interest rates, inflation rates, capita income, and the number of medium-large industries using the parameter estimation method, OLS (Ordinary Least Square).
Some Properties of Green’s Matrix of Nonlinear Boundary Value Problem of First Order Differential Badrulfalah Badrulfalah; Dwi Susanti; Kafsah Joebaedi; Robin Kosasih
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 20 No. 1 (2019): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (957.931 KB) | DOI: 10.24036/eksakta/vol20-iss1/173

Abstract

This paper discusses Green’s matrix of nonlinear boundary value problem of first-order differential system with rectangular coeffisients, especially about its properties. In this case, the differential equation of the form with boundary conditions of the form and which is a real matrix with whose entries are continuous on and . , are nonsingular matrices such that and are constant vectors. To get the Green’s matrix and the assosiated generalized Green’s matrix, we change the boundary condition problem into an equivalent differential equation by using the properties of the Moore-Penrose generalized inverse, then its solution is found by using method of variation of parameters. The last we prove that the defined matrices satisfy the properties of green’s function. The result is the corresponding the Green’s matrix and the assosiated generalized Green’s matrix have the property of Green’s functions with the jump-discontinuity.
Parameter Estimation STAR (1;1) Model Using Binary Weight Khafsah Joebaedi; Iin Irianingsih; Badrulfalah Badrulfalah; Dwi Susanti; Kankan Parmikanti
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 20 No. 2 (2019): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (884.833 KB) | DOI: 10.24036/eksakta/vol20-iss2/199

Abstract

Space Time Auto Regressive(1;1) Model or STAR(1;1) model is a form of model that involves location and time. The STAR(1;1) model is a stationary space time model in mean and variance. The STAR model can be used to forecast future observations at these locations by involving the effects of observations at other nearby locations in spatial lag 1 and lag time 1 [2]. The STAR model can be written as a linear model assuming that error is normally distributed with zero mean and constant variance. In this research, the parameter estimation procedure for STAR model using binary weight, MKT method and STAR model for the estimation of petroleum production in 3 wells is assumed to be in a homogeneous reservoir.
A Solution of Nonlinear Boundary Value Problem of System With Rectangular Coefficients Badrulfalah Badrulfalah; Iis Irianingsih; Khafsah Joebaedi
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 21 No. 1 (2020): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1072.606 KB) | DOI: 10.24036/eksakta/vol21-iss1/217

Abstract

This paper discusses a nonlinear boundary value problem of system with rectangular coefficients of the form with boundary conditions of the form A(t)x' + B(t)x = f(t,x) and which is is a real matrix with whose entries are continuous on the form B1x(to)=a and B2x(T)=b which is A(t) is a real m n matri with m > n matrix with m > n whose entries are continuous on J = [to,T] and f E C[J x Rn, Rn]. B1, B2 are nonsingular matrices such that and are constant vectors, especially about the proof of the uniqueness of its solution. To prove it, we use Moore-Penrose generalized inverse and method of variation of parameters to find its solution. Then we show the uniqueness of it by using fixed point theorem of contraction mapping. As the result, under a certain condition, the boundary value problem has a unique solution.
Interest Rate in Pension Plan Premium Calculation Khafsah Joebaedi; Kankan Parmikanti; Agus Supriatna; Fauzi Akhmad; Badrulfalah Badrulfalah; Nendi Suhendi Syafei
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 21 No. 1 (2020): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (566.986 KB) | DOI: 10.24036/eksakta/vol21-iss1/218

Abstract

This research aims to analyze the relationship between the interest rate relationship is inversely proportional to the amount of the premium on the pension plan. The method used is to measure several variables, among others FSL (Future Service Liability), PVFSAL (Present Value Future Salary), PR (Pension Rate) and Premiums. Calculation, life annuity uses actuarial assumptions, one of which is the interest rate assumption, if the assumptions used are not in accordance with the actual conditions, then what happens is excessive payments or deficient payments. The interest rate has an influence in the process of calculating the defined benefit pension plan premium. Using the assumption of different interest rates (11%, 12 % and 13%), it is found that the interest rate relationship is inversely proportional to the amount of the premium. The results of this study are FSL, PVFSAL, PR and Premiums for the interest of 11%, 12% and 13% (participants aged 25 years) as follows 720,187.97; 554,000,24; 430,570.07 (FSL in Rupiah); 27,155,187.70; 24,922,770,59; 23,002,699.40 (PVFSAL in Rupiah); 2.6521; 2.2229; 1.8718 (PR in%) and 55,535.38; 46,546.85; 39,196.00 (Premiums in Rupiah)The higher the interest rate, the smaller the pension premium and vice versa.
APLIKASI MODEL MIXED INTEGER LINEAR PROGRAMMING UNTUK PENGOLAHAN DAN PENDISTRIBUSIAN IKAN PADA INDUSTRI PERIKANAN (STUDI KASUS: PT. MULTI MINA REJEKI) Eman Lesmana; Badrulfalah Badrulfalah; Bahtiar Bahtiar
Teorema: Teori dan Riset Matematika Vol 3, No 2 (2018): September
Publisher : Universitas Galuh

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (593.942 KB) | DOI: 10.25157/teorema.v3i2.1177

Abstract

Masalah dalam tahap produksi pada sebuah perusahaan biasanya dialami dalam kegiatan pengolahan dan pengiriman produk. Kegiatan ini sering kali tidak sesuai dengan jadwal permintaan yang sudah ditetapkan sehingga perlu dibentuk perencanaan produksi. Makalah ini membahas tentang model perencanaan produksi beberapa produk cumi-cumi yang berasal dari beberapa pemasok pada PT. Multi Mina Rejeki. Model optimisasi Mixed Integer Linear Programming diformulasikan untuk menyelesaikan masalah ini. Keadaan dan peraturan perusahaan dijadikan sebagai fungsi kendala, sedangkan fungsi tujuannya adalah minimalisasi total biaya pengeluaran. Model pada penelitian Sayedhosseini dan Ghoreyshi (2014) diformulasikan menjadi sebuah model yang sesuai dengan objek penelitian. Data yang diperoleh pada bulan Februari 2016 digunakan sebagai parameter dalam model. Model diselesaikan menggunakan metode Branch and Bound dengan alat bantu aplikasi LINGO. Hasil penelitian menunjukkan terdapat selisih total biaya rata-rata antara model MILP dengan data primer sebesar 6,840%.