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Contact Name
Juhari
Contact Email
juhari@uin-malang.ac.id
Phone
+6281336397956
Journal Mail Official
cauchy@uin-malang.ac.id
Editorial Address
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144 Faximile (+62) 341 558933
Location
Kota malang,
Jawa timur
INDONESIA
CAUCHY: Jurnal Matematika Murni dan Aplikasi
ISSN : 20860382     EISSN : 24773344     DOI : 10.18860
Core Subject : Education,
Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh Mitra Bestari (reviewer) untuk dinilai substansi kelayakan naskah. Redaksi berhak mengedit naskah sejauh tidak mengubah substansi inti, hal ini dimaksudkan untuk keseragaman format dan gaya penulisan.
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Articles 8 Documents
Search results for , issue "Vol 2, No 4 (2013): CAUCHY" : 8 Documents clear
Kekonvergenan Barisan di Dalam Ruang Fungsi Kontinu C[a,b] Ubaidillah, Firdaus; Darmawijaya, Soeparna; Indrati, Rini
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (771.243 KB) | DOI: 10.18860/ca.v2i4.3044

Abstract

Diberikan C[a,b] merupakan koleksi semua fungsi kontinu bernilai real pada selang tertutup [a,b]. C[a,b] merupakan ruang linear atas lapangan real. Dalam tulisan ini dibahas pengertian-pengertian norma, barisan konvergen, terbatas dan monoton, infimum dan supremum dan lain-lain yang semuanya disajikan dalam bahasa fungsi kontinu. Selain itu akan ditunjukkan bahwa barisan yang terbatas dan monoton di dalam ruang fungsi kontinu C[a,b] belum tentu konvergen. Satu sifat yang menjamin sebuah barisan memiliki supremum atau infimum akan dibahas.
Aproksimasi Numerik Belah Dua dan Newton-Raphson pada Estimasi Parameter Distribusi Weibul Kinasih, Indira P
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (764.081 KB) | DOI: 10.18860/ca.v2i4.3115

Abstract

Life time distribution of warranted product, for example like automobile and photocopier is an interesting studies. Based on the fact that mostly, life distribution of warranted product is somewhat skewed to the right, this suggests that usual failure distribution such as Weibull distribution may provide a reasonable fit to the data. Related to these studies, parameter estimation is directly applicable since life distribution function is a function of parameters. There are no closed solution for Weibull likelihood function maximation. Therefore, numerical approximation could be an alternative solution. In this paper, Newton-Raphson and bisection method were employed to estimate the scale and shape parameter of Weibull distribution for photocopier failure data for since 4,5 years. Performance of those method were compared based on their approximation result and how fast they get into the solution. Data were taken from Bulmer and Eccleston (2003) research about photocopier realibility model.
Pemecahan Sandi Kriptografi dengan Menggabungkan Metode Hill Cipher dan Metode Caesar Chipher Wardani, Indria Eka
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (778.214 KB) | DOI: 10.18860/ca.v2i4.3120

Abstract

Message is a privacy statement which is made by a person and addressed to another person with the consent of people who have made the message. But with the development of modern technology resulted in a high level of privacy for their safety message. Especially lately act haeker (security breaker) are increasingly rampant and alarming message makers. To address this, the authors will examine and discuss the cryptographic cipher to convey a secret message privacy. Message in the form of a password using cryptography in this paper Combining of Hill Cipher Method and Caesar Cipher Methods.In the operation process of encryption and decryption passwords cryptography, the steps using the Caesar CipherMethods, whereas in steps using keys by using Hill Cipher method. In the making and the first decoding the message makers and recipients know how the operation technique. Thus the expected delivery of message privacy secured.
Analisis Perilaku Model Multi Agen dengan Gangguan Achmadi, Sentot; Miswanto, Miswanto
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1057.731 KB) | DOI: 10.18860/ca.v2i4.3114

Abstract

This paper discuss multi-agent model of the N-dimensional space with the function of attraction and repulsion. In this model is given the disturbance function which is a bounded function. In this paper also discuss about stationary of each agency and stability of the models use stability of Lyapunov. From the analytical results obtained center of the multi-agent is stationary. Also test the stability with Lyapunov method is obtained that the proposed model is a stable model. Numerical simulation results show that each agent will converges to a region that has a certain distance to the center of the multi-agent model
Model Probit Spasial pada Faktor-Faktor yang Mempengaruhi Klasifikasi IPM di Pulau Jawa Puspita, Feni Ira; Ratnasari, Vita; Purhadi, Purhadi
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (973.126 KB) | DOI: 10.18860/ca.v2i4.3116

Abstract

Human pembagunan Index (HDI) is a composite index that includes three basic dimensions of human development is considered to reflect the status of the population's basic abilities of health, educational attainment, and purchasing power. Data IPM classified into four, namely low, lower middle, upper middle, and high. Therefore, determining the HDI can be done with the data probit regression approach. In the data found that there were similarities between the HDI value of geographically adjacent regions which resulted in the classification of the adjacent HDI same region. This is presumably due to the inter-regional dependency. This phenomenon is suspected because of the spatial dependencies can be described through spatial methods. From the explanation above, the HDI of data in this study are based on the spatial probit regression method are compared with the probit method. This study aims to assess the predictors for estimating parameters and testing parameters were applied to the data classification IPM in Java. MCMC is used as a method of estimating the parameters in the assessment. While the assessment test parameters used are 25% to 75% of the estimated parameters
Implementasi Transformasi Wavelet Daubechies pada Kompresi Citra Digital Suma'inna, Suma'inna; Gumilar, Gugun
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1133.369 KB) | DOI: 10.18860/ca.v2i4.3117

Abstract

Proses kompresi merupakan proses mereduksi ukuran suatu data untuk menghasilkan representasi digital yang padat atau mampat, namun tetap dapat mewakili kuantitas informasi yang terkandung pada data tersebut. Pada citra, video, dan suara, kompresi mengarah pada minimalisasi jumlah bit untuk representasi citra digital. Dalam penelitian ini, proses kompresi citra menggunakan dua wavelet yang terkenal, yaitu wavelet Haar dan Daubechies Db4. Citra yang digunakan terbatas hanya citra grayscale berformat .jpg. Tujuan dari penelitian ini adalah menentukan wavelet manakah yang baik dalam kompresi citra. Dari hasil yang didapat, wavelet Haar dan Daubechies Db4 berturut-turut mempunyai nilai RMSE sebesar 6,54 dan 6,5. Sedangkan rasio kompresi untuk wavelet Haar adalah 25%, lebih besar dibanding wavelet Daubchies Db4, yaitu sebesar 22%.
Analisis Teoritis dan Empiris Uji Craps dari Diehard Battery of Randomness Test untuk Pengujian Pembangkit Bilangan Acaksemu Hafman, Sari Agustini; Rozi, Arif Fachru
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (892.672 KB) | DOI: 10.18860/ca.v2i4.3118

Abstract

According to Kerchoffs (1883), the security system should only rely on cryptographic keys which is used in that system. Generally, the key sequences are generated by a Pseudo Random Number Generator (PRNG) or Random Number Generator (RNG). There are three types of randomness sequences that generated by the RNG and PRNG i.e. pseudorandom sequence, cryptographically secure pseudorandom sequences, and real random sequences. Several statistical tests, including diehard battery of tests of randomness, is used to check the type of randomness sequences that generated by PRNG or RNG. Due to its purpose, the principle on taking the testing parameters and the test statistic are associated with the validity of the conclusion produced by a statistical test, then the theoretical analysis is performed by applying a variety of statistical theory to evaluate craps test, one of the test included in the diehard battery of randomness tests. Craps test, inspired by craps game, aims to examine whether a PRNG produces an independent and identically distributed (iid) pseudorandom sequences. To demonstrate the process to produce a test statistics equation and to show how craps games applied on that test, will be carried out theoretical analysis by applying a variety of statistical theory. Furthermore, empirical observations will be done by applying craps test on a PRNG in order to check the test effectiveness in detecting the distribution and independency of sequences which produced by PRNG
Ring Stabil Berhingga Arifin, Samsul
CAUCHY Vol 2, No 4 (2013): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (875.908 KB) | DOI: 10.18860/ca.v2i4.3119

Abstract

In this paper, we will discuss about the characterization of stably finite rings and their properties. We will also discuss about right strong stably finite rings and their relationship, and also its characterization.

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