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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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RUANG BANACH SEBAGAI RUANG OPERATOR YANG DIBANGKITKAN OLEH FUNGSI TERUKUR DAN TERBATAS ESSENSIAL Muslim A; sumanto sumanto
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, we construct a new normed Banach space  from collection of all Carleman operators from Hilbert spaceinto Lebesgue space , denoted by  with respect to the norm for every  generated by an essensially bounded measurable function .
PENILAIAN EFISIENSI BANK UMUM SWASTA NASIONAL DEVISA DAN BANK ASING DENGAN MENGGUNAKAN DATA ENVELOPMENT ANALYSIS (DEA) Sulistiyo, Sulistiyo; Sumitro, Sumitro
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Banking Industry the improvement of Indonesia cause increasing of competition level between bank, so the appraisal of bank’s efficiency becomes more important, because the efficiency is the describes the performance of the company work. The method used to measure bank efficiency in this paper is Data Envelopment Analysis (DEA), a technic linear programming that calculating output ratio to input of each DMU. DMU is called efficient if the efficiency value is one, if the value is less than one it means DMU not efficient. DEA is also ready to give solution for other banks on sample which was not efficient to be more efficient. Bank’s efficiency which is valuated in this paper are national commercial banks in Indonesia and foreign banks. The determination of input and output of bank based on bank behavior theory was using intermediation approach. The used optimization method in this paper to increase bank efficiency  of inefficiency bank is optimization of input oriented method.
PENGGUNAAN ANALISIS REGRESI LOGISTIK UNTUK MENGANALISIS PERILAKU DAN FAKTOR-FAKTOR YANG MEMPENGARUHI MINAT BACA PENGUNJUNG BADAN PERPUSTAKAAN PROPINSI JAWA TIMUR Kusrini, Dwi Endah; Puspitasari, Dwi
MATEMATIKA Vol 9, No 1 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

This research aim is to know factors and behavior influencing enthusiasm read  Library  visitor Province East Java (Baperpus) by using primary data obtained from survey as much 340 visitor. Method used in this research is Logistic Regression Analysis where the respon variable  is level enthusiasm read visitor ( 1=high, 2= low), while the prediktor variables are visitor behaviors and characteristics variable and got result that there is dependency which signifikan between three variable that is visitor education variable, visit time and visitor work. There no dependency which signifikan between three variable that is between visitor age variable, visitor work and frequency to visit  Baperpus. There no dependency which signifkan between three variable that is between visitor age variable, work and time reside in Baperpus. While based on the model which is formed by Logistic Regression Analysis that one who come when morning with frequency  visit to Baperpus less than once within a week and time reside in Baperpus less than one clock have opportunity of enthusiasm read high equal to 0,19. While one who come when daytime with frequency pay a visit to Baperpus 1-2 times within a week and time reside in Baperpus 1-2 clock have opportunity of enthusiasm read high equal to 0,61. One who come when morning with frequency visit to Baperpus less than once within a week and old reside in Baperpus 2-3 clock have opportunity of enthusiasm read high equal to 0,275 and one who come when daytime with frequency visit to Baperpus 1-2 times within a week and time reside in Baperpus 2-3 clock have opportunity of enthusiasm read high equal to 0,57.  
HUKUM SYLVESTER INERSIA Tjahjana, R. Heru
MATEMATIKA Vol 6, No 3 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Matriks representasi suatu bentuk kuadrat dapat disajikan sebagai matriks diagonal. Elemen pada diagonal utama matriks representasi tersebut dapat dipandang sebagai fungsi linear yang tidak tunggal. Karena tidak tunggal maka diperlukan teorema atau hukum yang mengatur karakterisasi representasi yang dapat disajikan dengan tidak tunggal. Hukum inilah yang dikenal sebagai hukum Sylvester Inersia.Hukum Sylvester tentang Inersia menyatakan bila U ruang produk dalam real dan f(x,y) form  bilinear simetri di U maka terdapatlah suatu basis B={f1,…,fn} dari U sedemikian hingga adalah matriks diagonal dengan f(fi,fj)= ei dij,  dengan   ei =1, jika 0<i<k, ei =-1, jika k<i<r, dan ei =0, jika r<i<n, lebih lanjut k dan r tertentu dengan tunggal oleh f.
MODEL DINAMIS RANTAI MAKANAN TIGA SPESIES Pratikno, Wiji Budi; Sunarsih, Sunarsih
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Three species food chain models are model that express the interaction of three populations of prey, first predator and second predator populations. The models are derived from a combination of logistic growth model between prey population and predator population. Model that is used is a Holling type II functional response. The model consists of non linear differential equations with three dependent variables, there are  representing size of prey population at time ,  is size of  first predator population at time , and  is size of second predator population at time . From the result of stability analysis conducted on the food chain model of three species are found six equilibrium points based on the value eigen, and six cases of different stability.
TITIK TETAP NADLR FUNGSIMULTI NILAI KONTRAKTIF PADA RUANG METRIK Ï°(X) Rinurwati, Rinurwati
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper to be discussed about Nadlr fixed point of contractive multivalued function on. This results can be considered as a generalizations of Bollobus et al result complete metrice space X.
PROGRAM LINIER FUZZY PENUH DENGAN ALGORITMA MULTI OBJECTIVE LINEAR PROGRAMMING S, Mohammad Ervan; Irawanto, Bambang; ., Sunarsih
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In the linear programming there is one of the certainty assumptions, where each parameters has been known with certainty, but in this real life, the parameters is often can not be stated with certainty, so that the linear programming developed into fully fuzzy linear programming (FFLP). This paper discusses the problem solving FFLP problem with Multi Objective Linear Programming Algorithm. FFLP problem will be converted to MOLP problem with three objective functions by using a new lexicographic ordering on triangular fuzzy numbers and then it is solved by lexicographic method. The value of the fuzzy optimal solution obtained is used to find the optimal value of fuzzy objective function and then do defuzzification to obtain crisp optimal solutions
PENERAPAN MATEMATIKA PADA SISTEM PEMBAYARAN DISKRET DAN KONTINU ASURANSI KEMATIAN Nuraeni, Gina; sunarsih, Sunarsih
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

As guarantee in a life insurance is which caused by death. The death results loss of income of someone or the family. With the result that, a life insurance provides a payment of specified amount upon the death of a given life. There are two systems in this payment, that the insurance payable at the moment of death (continuing insurance) and the insurance payable at the end of the year of death (discrete insurance). If life table are uniformly distributed, so there is a relationship that an immediate payment is equivalent on the average to a payment of  at the end of the year of death.  
SIFAT–SIFAT IDEAL KUASI REGULAR Tjahjana, Redemtus Heru
MATEMATIKA Vol 7, No 2 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Tulisan ini membahas sifat ideal kuasi regular dimulai dari pengertian elemen kuasi regular dan sifat-sifatnya. Dari pengertian elemen kuasi regular dapat dipergunakan untuk membangun pengertian ideal kuasi regular. Ideal kuasi regular kanan adalah ideal kanan dari suatu ring dan setiap elemennya adalah elemen kuasi regular kanan. Ideal kuasi regular kiri adalah ideal kiri dari suatu ring dan setiap elemennya adalah elemen kuasi regular kiri. Untuk mempelajari  ideal kuasi lebih lanjut juga dituliskan tentang Jacobson radikal.
METODE SIMPLEKS PRIMAL-DUAL PADA PROGRAM LINIER FUZZY PENUH DENGAN BILANGAN TRAPEZOIDAL Irawanto, Bambang; Djuwandi, Djuwandi; Suryoto, Suryoto; Handayani, Rizky
MATEMATIKA Vol 19, No 3 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Program linier dengan koefisien fungsi tujuan bilangan trapezoidal fuzzy (FNLP) dan program linier dengan variabel trapezoidal fuzzy (FVLP) merupakan bentuk dari program linier fuzzy tidak penuh. FNLP memiliki bentuk bilangan trapezoidal fuzzy hanya pada koefisien fungsi tujuannya saja, sedangkan FVLP memiliki bentuk bilangan trapezoidal fuzzy pada variabel keputusan dan konstanta ruas kanannya. Kasus minimasi dari FNLP dan FVLP dapat diselesaikan dengan metode simpleks dual. Bentuk bilangan trapezoidal fuzzy harus diubah ke bentuk bilangan crisp terlebih dahulu dengan menggunakan fungsi peringkat untuk menentukan entering variable dan leaving variablenya.Nilai fungsi tujuan optimalyang dihasilkan berupa bilangan trapezoidal fuzzy dan bilangan crisp.

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