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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 300 Documents
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ANALISIS VARIABILITAS CURAH HUJAN WILAYAH INDONESIA BERDASARKAN PENGAMATAN TAHUN 1975-2004 Juaeni, Ina
MATEMATIKA Vol 9, No 2 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Tropical rainfall is the most important  atmospheric  variable, because it can be  affect directly to human life.  Tropical rainfall is also important for global climate and weather.  The annual total of  tropical rainfall differs from year to year and from place to place. Other characteristics, such as its seasonal and diurnal distribution, intensity, and duration  also demonstrate spatial and temporal variations. Results of  the statistical analysis to rainfall data indicate that rainfall variation coefficients in the southern Indonesia are  higher than its in the northern Indonesia .  
PENURUNAN PERSAMAAN GELOMBANG SOLITON DENGAN DERET FOURIER ORDE DUA SECARA NUMERIK sarwadi, sarwadi
MATEMATIKA Vol 6, No 3 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Salah satu solusi dari persamaan Korteweg - de  Vries (KdV) adalah gelombang soliton. KdV merupakan persamaan umum gelombang yang solusinya tidak selalu bisa diturunkan secara exact. Penelitian ini mengkaji teknik numerik untuk menurunkan persamaan gelombang soliton dari  persamaan KdV. Dengan MAPLE dibuat algoritma yang didasarkan pada minimisasi hamiltonian persamaan KdV atas suatu gelombang yang didekati dengan deret Fourier orde dua. Secara iteratif gelombang ini diperbaiki dengan menerapkan metode Steepest Descent dan kombinasi  Euler - Aitken.  Hasil  menunjukkan bahwa pendekatan deret Fourier orde dua cukup bagus dan teknik numeriknya valid (dibuktikan dengan paket WAVEPACT)  
BILANGAN DOMINASI DAN BILANGAN KEBEBASAN GRAF BIPARTIT KUBIK Santoso, Budi; Djuwandi, Djuwandi; S.U, Robertus Heri
MATEMATIKA Vol 15, No 1 (2012): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let a graph , is a pair of sets V vertices and set E edges. Let  be a subset of . If each vertex of  is adjacent to atleast one vertex of , then  is called a dominating set in . The domination number of a graph  denoted as  is the minimum cardinality of a dominating set in . A set of vertices in a graph is said to be an independent set if no two vertices in the set are adjacent. the number of vertices in the largest independent set of a graph  is called the independence number and denoted by . In this final project, we consider the relation between independent set and dominating set of finite simple graphs. In particular, discuss them for some cubic bipartite graphs and find that the domination number is less than  of the number of vertices and independence number  is half of the number of vertices.  
ON SOLUTIONS OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION Soleha, Soleha
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. On solving the optimal control for the linear discrete-time system based on quadratic performance indexes will be obtained the hermitian solutions of discrete-time algebraic Riccati equation. The existence of that solution can be identified by an invariant subspace which has certain properties. In this paper we investigate some properties of discrete-time algebraic Riccati equation related to an invariant subspace as steps to identify them.
HIMPUNAN BILANGAN BULAT NON NEGATIF PADA SEMIRING LOKAL DAN SEMIRING FAKTOR Fatimah, Meryta Febrilian; Puspita, Nikken Prima; ., Farikhin
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let commutative Semiring S. Ideal on Semiring S defined in the same way with the Ideal on the ring. On Semiring  there are special Ideals such as -ideal, -maximal Ideal and -ideal. Semiringwith a unique -maximal Ideal is called local Semiring. In This paper we will discussed that from non negative integer  we can determined a local Semiring and quotient Semiring.
A NUMERICAL SOLUTION OF SURFACE WAVE IN POROUS MEDIA Wiryanto, L.H
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A model of wave propagation in porous medium is derived, based on the pressure, giving a diffusive-like equation. The model is then solved numerically by a finite difference method. Taylor approximation is applied to the nonlinear term to obtain a diagonal dominant matrix corresponding to the finite difference equations, so that Gauss-Seidel iteration can used to solve the system of equations. As the result, over-damped wave is performed in this paper, related to quality of the medium.  
AKAR-AKAR POLINOMIAL SEPARABEL SEBAGAI PEMBENTUK PERLUASAN NORMAL Daruni, Sulastri; Surarso, Bayu; Irawanto, Bambang
MATEMATIKA Vol 7, No 3 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Misalnya F adalah lapangan perluasan dari lapangan K dan f(x) adalah  polinomial tidak tereduksi dalam K maka f(x) dapat difaktorkan sebagai hasil kali dari faktor linear dalam lapangan pemisahnya . Jika akar-akar dari polinomial tersebut tidak ada yang ganda maka polinomial tersebut merupakan polinomial separabel. Selanjutnya untuk Lapangan pemisah yang memuat kesemua akar-akar yang berlainan dari polinomial tak tereduksi f(x) maka lapangan pemisah tersebut merupakan  perluasan normal.
SOLUSI PERSAMAAN DIOPHANTINE DENGAN IDENTITAS BILANGAN FIBONACCI DAN BILANGAN LUCAS puspitasari, Ayu; Sumanto, YD; Widowati, Widowati
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we propose diophantine equations with the form  and . These equations has integer solutions which can form Fibonacci numbers and Lucas numbers. Integer solutions of the Diophantine equations in the form of Fibonacci number and Lucas number are determined by using recursive formula, Binet’s Formula, and the most important is identity of Fibonacci numbers and Lucas numbers.
MODEL SPLINE DENGAN ERROR BERKORELASI Nalim, Nalim; Budiantara, I Nyoman
MATEMATIKA Vol 8, No 3 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Spline smoothing is a popular method for estimating the function in nonparametric regression  model. Its performance depends greatly on the choice of smoothing parameters. Many methods of selecting smoothing parameters such as GCV, GML and UBR are developed under the assumption of independent observations. They fail badly when data are correlated. In nonparametric regression, correlated error could be solved by finding weighted estimator and determine the correlation matrix from the error. Estimation of nonparametric function is obtained by minimizing the penalized weighted least-square (PWLS). In this paper, the extension of the GML method to estimate the smoothing parameters and correlation simulataneously is presented. Simulation was conducted to evaluate and to compare the performance of  the original GML and the extended GML method. The extended GML is recommended since it works well in all simulation scheme. This method is also able to illustrate the data concentration data in a continous chemical process
MENCERMATI BERBAGAI JENIS PERMASALAHAN DALAM PROGRAM LINIER KABUR Asikin, Mohammad
MATEMATIKA Vol 6, No 2 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Konsep baru tentang himpunan yang dapat dipandang sebagai perluasan dari himpunan klasik/tegas adalah himpunan kabur. Perluasan ini membawa pengaruh pula  pada beberapa konsep lain seperti relasi kabur, bilangan kabur, logika kabur serta program linier kabur. Dalam program linier kabur dikenal pengklasifikasian: program linier dengan sumber kabur, program linier dengan sasaran kabur serta program linier dengan kendala kabur. 

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