Farikhin Farikhin
Lab Matematika Terapan, Jurusan Matematika FSM Undip

Published : 17 Documents
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TEOREMA KEKONVERGENAN FUNGSI TERINTEGRAL RIEMANN .

MATEMATIKA Vol 7, No 3 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Teorema kekonvergenan merupakan bagian yang penting dalam mempelajari  teori  integral. Limit fungsi barisan fungsi yang terintegral Riemann pada suatu interval belum tentu fungsi tersebut juga terintegral Riemann pada interval itu. Dengan demikian diperlukan syarat lain agar limit fungsi juga terintegral Riemann. Tulisan ini bertujuan membahas syarat cukup agar limit fungsi dari barisan fungsi yang konvergenan di mana-mana juga terintegral Riemann. Selanjutnya, dibahas juga syarat cukup agar limit fungsi dari barisan fungsi yang konvergen hampir di mana-mana juga terintegral Riemann.  

MODEL REDUKSI PADA PARAMETER MARKOV

MATEMATIKA Vol 14, No 3 (2011): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

As well known that the model reduction for large-scale linear dynamical systems based on Krylov subspace is called moments matching. In this method, one or more interpolation points is needed to construct  a certain Krylov subspace. In this paper, we propose the proof of theorem for moment matching at Markov parameter using the theorem which is obtained from standard block Arnoldi algorithm.

Pengayaan Yodium dan Kadar NaCl pada Garam Krosok menjadi Garam Konsumsi standar SNI Enrichment of Iodium and Sodium Cloride in the Traditional Salt become Consumtion Salt INS Standard

JURNAL SAINS DAN MATEMATIKA Volume 21 Issue 1 Year 2013
Publisher : JURNAL SAINS DAN MATEMATIKA

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Abstract

This research has been carried out in the quality improvement of traditional salt (krosok salt) into salt consumption for the Indonesian National Standard. This report is devoted to the elevated levels of NaCl and KIO3. Increased levels of NaCl and Iodine (represented by KIO3) is done by washing the salt with the traditional clothes washer with two rounds and by using water with saline solution at 22-24 Be (known as the old water). Traditional salt taken from three districts, such as Pati District, Jepara District, and Rembang District. We found that the concentration of NaCl in the treatment salt maximum is  96 % and Iodium or present of KIO3 is 40 ppm.   Key words: Salt,  traditional, INS, Consumtion, NaCl, KIO3

Pengayaan Yodium dan Kadar NaCl pada Garam Krosok menjadi Garam Konsumsi standar SNI (Enrichment of Iodium and Sodium Cloride in the Traditional Salt become Consumtion Salt INS Standard)

SAINS DAN MATEMATIKA Volume 21 Nomor 1 Tahun 2013
Publisher : SAINS DAN MATEMATIKA

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Abstract

This research has been carried out in the quality improvement of traditional salt (krosok salt) into salt consumption for the Indonesian National Standard. This report is devoted to the elevated levels of NaCl and KIO3. Increased levels of NaCl and Iodine (represented by KIO3) is done by washing the salt with the traditional clothes washer with two rounds and by using water with saline solution at 22-24 Be (known as the old water). Traditional salt taken from three districts, such as Pati District, Jepara District, and Rembang District. We found that the concentration of NaCl in the treatment salt maximum is  96 % and Iodium or present of KIO3 is 40 ppm.   Key words: Salt,  traditional, INS, Consumtion, NaCl, KIO3

Optimisation towards Latent Dirichlet Allocation: Its Topic Number and Collapsed Gibbs Sampling Inference Process

International Journal of Electrical and Computer Engineering (IJECE) Vol 8, No 5: October 2018 (Part I)
Publisher : Institute of Advanced Engineering and Science

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Abstract

Latent Dirichlet Allocation (LDA) is a probability model for grouping hidden topics in documents by the number of predefined topics. If conducted incorrectly, determining the amount of K topics will result in limited word correlation with topics. Too large or too small number of K topics causes inaccuracies in grouping topics in the formation of training models. This study aims to determine the optimal number of corpus topics in the LDA method using the maximum likelihood and Minimum Description Length (MDL) approach. The experimental process uses Indonesian news articles with the number of documents at 25, 50, 90, and 600; in each document, the numbers of words are 3898, 7760, 13005, and 4365. The results show that the maximum likelihood and MDL approach result in the same number of optimal topics. The optimal number of topics is influenced by alpha and beta parameters. In addition, the number of documents does not affect the computation times but the number of words does. Computational times for each of those datasets are 2.9721, 6.49637, 13.2967, and 3.7152 seconds. The optimisation model has resulted in many LDA topics as a classification model. This experiment shows that the highest average accuracy is 61% with alpha 0.1 and beta 0.001.

PERBANDINGAN METODE TRUST-REGION DENGAN METODE NEWTON-RAPHSON PADA OPTIMASI FUNGSI NON LINIER TANPA KENDALA

Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : Jurnal Matematika

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Abstract

Optimization is the best decision of  the objective functions for  produce a satisfactory solution. Optimization of multi variables unconstraints is to optimize the the objective functions which contains multi variable function freely without any specific requirements that restrict its function. Trust-Region methods methods is used to optimize multi variables unconstraint , Trust-Region methods quadratic approach of optimizing non linear the objective functions with a certain radius as the limit of the step size according to the quality of the approach. Newton-Raphson methods is a root search method with the the objective functions approaches a point, where the objective functions has a derivative. In this final will be talking about Trust-Region methods will compared with Newton-Raphson methods, and rendered example problem in which only be solved using Trust-Region methods.Keywords : Trust-Region Methods, Optimization, Newton-Raphson Methods 

SUATU KAJIAN PADA BCI-ALJABAR YANG TERKAIT DENGAN SIFAT DERIVASI KIRI

Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : Jurnal Matematika

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Abstract

Setiap-Derivasi kiri pada BCI- Aljabar X dapat dikatakan regular jika hasil derivasinya sama dengan nol atau setiap X idealnya merupakan D-invarian. Suatu himpunan dikatakan ideal pada X dengan -ideal jika , hal serupa dengan (-ideal jika ). Selain itu, himpunan  dikatakan ideal pada X dengan D-invarian jika. - Derivasi kiri BCI- Aljabar positif semisederhana merupakan hasil operasi biner antara endomorfisma dengan derivasinya. Himpunan  dikatakan torsi bebas BCI-aljabar jika kuadrat derivasinya atau komposisi derivasi pertama dan derivasi kedua sama dengan nol.Kata kunci :BCI-aljabar, BCI-aljabar p-semi sederhana, -Derivasi kiri,        D-invarian

Particle Swarm Optimization Untuk Sistem Informasi Penjadwalan Resource Di Perguruan Tinggi

JURNAL SISTEM INFORMASI BISNIS Vol 1, No 1 (2014): Volume 4 Nomor 1 Tahun 2014
Publisher : Magister Sistem Informasi

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Abstract

Course timetabling management information system is a system focusing on data management resource and constraints in optimizing the use of available resources and avoid clashing in the process of making class timetabling, so that the resulting information will be effective. Results of such information may assist the college in planning the use of space, and to develop programs of study. Data resource and constraints are implemented using timetabling information system with PSO algorithm. The results of the data analysis using the PSO algorithm by combining six hard constraint and two soft constraints cannot produce an optimal solution, because there are still clashing lecturer-timeslot (soft1), but without combining both soft constraints can produce maximum solutions in the use of the room, where the solution with the best fitness value (0.333), c1(2,0), c2(2,0), w(0,2), and maximum of 10 iterations of the desired solution. The final results are timetabling management information system for resource utilization that generates class timetable information and use of the room.   Keywords : Management information system; PSO algorithm; Resource; Constraints; Course timetabling; Higher education

Sistem Informasi Pendukung Keputusan Terhadap Mutu Lulusan dengan Metode Fuzzy Model Tsukamoto

JURNAL SISTEM INFORMASI BISNIS Vol 4, No 2 (2014): Volume 4 Nomor 2 Tahun 2014
Publisher : Magister Sistem Informasi

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Abstract

The importance of graduate information systems to support leadership in taking a decision related to the development of alumni, so that should make for a graduate information systems implemented in the form of web portals. Analysis of the data processed by the method of OLAP (Online Analytical Processing), KPI (Key Performance Indicators) graduates, and data mining to extract and transform data holds the data will be stored in the warehouse. The process of data analysis using OLAP and Fuzzy method to determine the parameters of the model Tsukamoto graduate performance and quality of college graduates. The process of data analysis is represented in the form of tables, graphs, and dashboards, then used as a prop for academic results. OLAP analysis result data processed using the fuzzification, inference, and defuzzification to produce quality graduates index. These findings form a web-based information systems graduate portal with content features alumni and stakeholders as a graduate performance indicators that can be accessed through an Internet connection. The information system produces graduates index KPI performance and quality of graduates graduated as a decision support by the leadership and the head of the research program carried out at the University, KPI graduates to indicate that the parameters of the specific level of quality graduates and overall views of the dimensions of the year and course of study, such as in 2011 the level of quality of graduates of IT course overall "Good", TM course as a whole "Good", TP courses overall "Good". Keywords: Information systems graduates; OLAP, KPI graduates; Tsukamoto Fuzzy Logic model

Sistem Gesture Berbasis Accelerometer dengan Metode Fast Dynamic Time Warping (FastDTW)

JURNAL SISTEM INFORMASI BISNIS Vol 1, No 3 (2014): Volume 4 Nomor 3 Tahun 2014
Publisher : Magister Sistem Informasi

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Abstract

In the modern environment, the interaction between humans and computers require a more natural form of interaction. Therefore, it is important to be able to build a system that can meet these demands, such as by building a hand gesture recognition system or gesture to create a more natural form of interaction. This study aims to design a smartphone’s accelerometer gesture system as human computer interaction interfaces using FastDTW (Fast Dynamic Time Warping).The result of this study is form of gesture interaction which implemented in a system that can make the process of recognition of the human hand movements based on a smartphone accelerometer which generates a command to run the media player application functions as a case study. FastDTW as the development of Dynamic Time Warping method (DTW) is able to compute faster than DTW and have an accuracy approaching DTW. From the test results, FastDTW show a fairly high degree of accuracy reached 86% and showed a better computing speed compared to DTW. Keywords: Human and computer interaction; Accelerometer-based gesture; FastDTW; Media player application function