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    Alternatif Menentukan Persamaan Garis Singgung Elips
    (2-02-19) Fauziah, Fauziah; Mashadi, Mashadi; Gemawati, Sri
    Persamaan garis singgung elips biasanya diperoleh dengan cara diskriminan dan substitusi, yaitu persamaan garis dengan gradien m disubtitusikan pada persamaan elips. Kemudian diperoleh persamaan kuadrat. Karena garis tersebut menyinggung elips, maka diskriminan sama dengan nol, sehingga diperoleh nilai konstanta. Nilai konstanta tersebut disubstitusikan ke persamaan garis dengan gradien m, maka diperoleh persamaan garis singgung elips. Pada tulisan ini dibahas alternatif lain menentukan persamaan garis singgung elips yaitu dengan menggunakan konteks limit dan jarak antara titik terhadap garis lurus.
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    Penafsiran Determinan secara Geometri
    (20-02-19) Yeni, Riska; Syamsudhuha, Syamsudhuha; Gamal, M.D.H
    Pada umumnya determinan suatu matriks dapat dihitung dengan cara-cara tertentu. Pada tulisan ini diperkenalkan konsep determinan suatu matriks secara geometri. Melalui pendekatan geometri ini diberikan sebuah jajarangenjang yang dibentuk oleh penjumlahan dua vektor kolom, dengan menggunakan luas persegipanjang dan segitiga maka diperoleh nilai determinan matriks berordo 2×2 sebagai luas jajarangenjang. Dari sebuah balok yang terbentuk oleh vektor-vektor kolom matriks 3×3 didapatkan nilai determinan matriks 3×3 sebagai volume balok
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    ANALISIS STRUKTUR KONFIGURASI TIANG DERMAGA TERHADAP GAYA LATERAL
    (2012-11-07) Ismeddiyanto; Sutikno, Sigit
    Planning and design of jetty for general cargo port always use piles for its lower structure. Arrangement of Pile configuration in jetty is very important thing in stability of structure as well as for construction cost. This research has analysed structurally three alternatives of pile configuration design, those are pile configuration Type-], Type-2, and Type-3. The Type-I and Type-2 are the conventional configuration pile that are the most commonly designed. The Type-3 is a configuration piles that is proposed to be the more stable structure than the conventional configurations. All of the alternatives configuration are analyzed structuraly using SAP 2000 VI 1.0.0 to find maximum lateral displacement, axial force, shear force, and moment in pile. Base on the result of structural analysisis can be concluded that jetty Type-3 is the most
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    PEMODELAN PENELUSURAN BANJIR DENGAN METODE MUSKINGHUM
    (2012-11-07) Hendri, Andy; Inra M
    Tujuan penelusuran banjir salah satunya adalah peringatan dini banjir, salah satu metode yang terkenal dikembangkan oleh Muskingun. Untuk menghormati penemunya, metode tersebut dinamai Muskingum. Metode in! telah diterapkan secara intensif pada beberapa sungai di Inggris. Menurut Saihul (2006) Muskingum termasuk metode yang cukup akurat, tingkat kesalahan prediksinya rata-rata sebesar 14 persen. dan kesalahan prediksi waktu debit puncak rata-rata 0,16 jam. Metode Muskingum tidak didasarkan atas hukum-hukum dasar hidrolika. Metode ini hanya meninjau hukum kontinuitas dan tampungan. Metode Muskingum menggunakan data debit masuk dan debit keluar yang diukur pada waktu yang bersamaan. Metode ini sering sekali memakan waktu yang lama dikarenakan adanya perulangan-perulangan pada perhitungan konstantakonstanta penelusuran sehingga dalam proses perhitungan memungkinkan terjadinya kesalahan (systematic error). Penelitian ini disusun setelah melalui serangkaian kegiatan penelitian tentang Pemodelan Penelusuran Banjir metode Muskinghum. Penelitian ini pada dasamya hanya pemodelan numerik saja, sedangkan data yang digunakan adalah data sekunder. Untuk hasil ketiga simulasi tersebut sendiri mempunyai trend yang sama antara satu dengan yang lainnya, hal tersebut dapat dilihat pada simpangan rerata untuk simulasi data per 1 jam, 2 jam dan 3 jam yang mempunyai nila simpangan rerata berturut-turut adalah: 18,3%, 19,8, dan 21,3%. Nilai tersebut tidak terlalu signifikan sekali, sehingga untuk mengambil data di lapangan tidak perlu data yang per 1 jam-an karena untuk yang 3 jam-an saja sudah terwakilkan dan nilainya pun tidak terlalu berpengaruh.
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    MODEL FISIK PEMBANGKIT LISTRIK TENAGA MINI-MIKROHIDRO (PLTM)
    (2012-11-07) Rinaldi; Harmaini
    The use of mini-microhydro electricity power generator is still conducted rarely. It needs to know its effectivity and efficiency. It needs special treatment by using new technology, so it could be especially in the rural areas those had water resources for that treatment. In this research physical model of mini-microhydro electricity power generator was made. The procedure of this research consist of three steps : the installation and adjustment of equipment (tank installation and pipe installation, dynamo and turbin restraint, turbin and dynamo intallation), the model test (water supply measurement, tutrbin angular velocity measurement), and running model (dynamo angular velocity measurement, and voltage measurement). The result of the research that was conducted, the maximum water suplly 5,513 Us, average of dynamo angular velocity 548,6 rpm. The maximum voltage that is produced model 80 volt. On the model condition no energy is produced, because the voltage and angular velocity that was planned are not reached yet.
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    SISTEM PENGAMBILAN KEPUTUSAN (DECISSIONSUPPORT SYSTEM, DSS) PERBAIKAN DAN PEMELIHARAAN LERENG BERDASARKAN PROSEDUR MANAJEMEN ASET
    (2012-11-07) Sandyavitri, Ari; Muhardi; Burhanuddin; Sucipto Wijaya, Andi; Zulfi, Albert; Wibisono, Gunawan
    The simulation of Decision Support Systems (DSS) based on the Assets Management procedure (in managing rock slopes systematically) was demonstrated in this paper. Rock fall Hazard Rating System (RHRS) and Rock fall Mitigation Cost Estimate (RMCE) methods were applied in this paper to mapping, evaluate, and analyze rock fall hazard at the road section of Pekanbaru- Bukittinggi KM 75 to KM 115. Two major elements are subjects to investigate as follow; (i) technical aspect; and (ii) economy one. Based on the RHRS criteria, there should be the riskiest slopes and potential rock fall hazard be prioritized to be managed, they are slopes at KM 80.2 (left), KM 77 and KM 10.3 with RHRS values of 581, 542 and 420 points. The higher RHRS value of the slope the riskiest the slope to the road users. RMCE considers economy aspect to be put into consideration together with RHRS values. Cost estimate for managing rock fall is divided with RHRS is known as cost risk (CR). The CR may comprehensively assist process of DSS for managing the slopes within the road section above by offering flexible options such as; prioritizing the riskiest slopes with moderate CR values eg. Slopes of KM 109.3, KM 77 and KM 80.2 with the BR values of 200.000, 351.000, and 312.000 respectively; or prioritizing the rock fall hazard slopes with the lowest CR values (eg. CR below300.000) for slopes at KM. 109.5, 109.3, 112 dan 80.23.For the first option, it may yield 3 slopes can be repaired, and at second option it may repair 4 slopes.
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    PERILAKU STRUKTUR BANGUNAN BERTINGKAT YANG BERBENTURAN AKIBAT BEBAN DINAMIK
    (2012-11-07) Suryanita, Rcni
    Ground excitation on two buildings can cause pounding if the gap between them is not enough for their free vibration response. Pounding can cause amplification of internal forces of the response structure elements and impact force at the contact zone that usually have not calculated yet in the preliminary design. Therefore, it can cause damage and failure of the building. The two buildings are modeled as MDOF discrete. To release the bounding between the degree of freedom, the dynamic analysis is carried out by modal superposition method, then the analysis is continued by numerical analysis by Runge Kutta method. The parameters of study are mass of the model, stiffness of the model, pounding stiffness, and the initial gap between the buildings. The result of study, shows that the pounding force will increase as the initial gap between the buildings is decrease. Minimum gap between the buildings to avoid pounding is less than the relative maximum of total absolute value range of the both buildings under designed earthquake force. Therefore, by knowing minimum gap between buildings so the pounding can be avoided
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    KUAT TEKAN DAN MODULUS ELASTISITAS BETON MENGGUNAKAN SILIKA PRESIPITASI (SiOz) BASIL EKSTRAKSI LIMBAB ABU SAWIT
    (2012-11-07) Romey Sitompul, Iskandar; Tahara, Edo
    The using additive for concrete mixing has developed recently aim to increase the behaviour and compression strength of the concrete. Silica presipitated is one of additive materials used for concrete mixing. It's obtained from the crude palm oil industrial process. On this research, silica presipatated will be added by using comparison 0%, 4%, 8%, 12% of cement weight. According to this research, concrete compression strength increase 9,77% with addition 4% silica presipitated of concrete 0% silica presipitated at age 28 day. Modulus elasticity also increase 2,02% on adding 4% silica presipitated of concrete 0% silica presipitated at age 28 day
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    POTENSI TASIK NAMBUS UNTUK MELAYANI KEBUTUHAN AIR BERSIH KOTA SELAT PANJANG
    (2012-11-07) Siswanto; Mujiatko
    Nowadays, the requirement of clean water increases as the number of human population rises as well as people awamess of being health. So far people in Tebing Tinggi subdistrict, Selat Panjang get clean water for they daily need from a water resources that provided by local government. The capasity of this fasility had been upgraded from 10 1/dt up to 30 It/dt. In accordance with the increase of populaton, that amount still has not enough yet to fullfill the people need of clean water. Tasik Nambus (Nambus Pond) is one of potential water resources available in Tebing Tinggi subdistrict. Based on the research study and hydrologycal analysis, it was shown that the Nambus Pond holding capasity can reach up to 289,509 m3/hr.
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    KAPUR TOHOR DAN ABU SAWIT SEBAGAI BAHAN TAMBAH ATAU SUBSTITUSI SEMEN PADA MORTAR
    (2012-11-07) Kurniawandy, Alex; Ismediyanto; Novalina, Tetty
    The aim of this research is to learn the influence of palm oil fly ash and quick lime with the certain percentage against strength that was produced. Using of the additive or substitution of palm oil fly ash and quick lime can be hoped to save the use of cement in the mortar mixture. Moreover it will be useful to give waste added value of the industry that has not yet made use of optimally especially as the building materials (close the environment). The ratio between cement and sand in this research was 1:3. The specimen was made total 108 samples, the size of specimen is 5x5x5 cm. Palm oil fly ash and quick lime that are used with the percentage 20%, 40%, 60% and 80% against heavy cement, while the composition of palm oil ash fly ash and the lime that is 67.5- 32.5. In the meantime as the standard mortar was made by the mixture of the level of palm oil fly ash with quick lime 0 % and 100%.The results of the research show that the optimum value in the percentage of 20% with strength 202.06 Kg/cm2 (the age 28 days) and 40 % with strength 197.69 kg/cm2 (the age 56 days). While the biggest porosity and absorption value was obtained in mortar with 100% and 80 % palm oil fly ash and quick lime.
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    KAJIAN POLA ALIRAN DAN KAPASITAS SALURAN DRAINASE SEBAGAI USAHA MENGATASI BANJIR GENANGAN DI KOTA SIAK SRI INDRAPURA
    (2012-11-07) Mudjiatko; Siswanto
    Perubahan karakteristik kota Siak Sri Indrapura iiarus diimbangi dengan sistem jaringan drainase yang memadai yang dapat dan mampu mengontrol serta mengendalikan aliran air permukaan yang akan terjadi sehingga meminimalkan wilayah banjir di Kota Siak. Penelitian ini bertujuan sebagai suatu kajian komprehensif berkenaan dengan pola aliran dan kapasitas saluran pada sistem jaringan drainase Kota Siak Sri Indrapura.Data data curah hujan, Rencana Detail Tata Ruang Kota Siak 2010, data topografi wilayah kajian dan hasil inventariasasi pola aliran exisilng dibutuhkan sebagai dasar kajian pola aliran dan analisa kapasitas saluran. Data Curah hujan stasiun buatan selama 20 tahun dianalisa dan diuji untuk menentukan curah hujan rencana. Hasil kajian menunjukan bahwa kapasitas saluran yang ada di kota Siak Sri Indrapura saat ini, tidak mampu menampung curah hujan yang terjadi sehingga dibutuhkan pengaturan ulang terhadap pola aliran. Sebagai akibatnya, harus dilakukan perubahan dimensi saluran untuk 80 % saluran yang ada di Kota Siak Sri Indrapura.
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    THE EXPLORATION OF INDONESIAN TRADITIONAL GAMES AS THE CONTEXT IN LEARNING FACTOR NUMBERS
    (2012-11-09) Wahyuni, Reni; lima Indra Putri, Ratu
    The main goal of this research is to explore the Indonesian traditional game as the context which is for acquiring the concepts of factor numbers. This research was held in the first semester 2010/2011 with a total number of 20 fourth grade students. Realistic Mathematics Education (RME) as the basic principle in teaching and learning processes of this research. With RME tenets, PMRI in Indonesia has an important role for a new pedagogy in mathematics classroom whereas students are encouraged to construct mathematical idea within their daily life. The research was conducted by design research methodology, comprising namely preliminary design, teaching experiment, and retrospective analysis phase. The discussion in classroom present to get information of the students' understanding about factor numbers through their experiences in playing bekel game. The result of this research shows the use of Indonesian traditional game as the context in learning factor numbers. So, the students can explore their understanding in learning process.
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    SATUAN SUKATAN DAN PEMBELAJARAN MATEMATIKA
    (2012-11-09) Mashadi
    Dalam makalah ini dibahas berbagai kasus etnomatematika yang terdapat di Indonesia, Satuan tradiosinal yang dibahas adalah satuan tradisional yang berlaku di jawa, Bali dan Sumatra (khususnya di Provinsi Riau) sebelum abad ke 20. Beberapa satuan tradisional yang dibahas adalah satuan ukuran jarak, satuan ukuran luas , volume dan berat dan satuan hitung barang. Selain itu juga diungkapkan salah satu permainan galah panjang pada masyarakat Melayu Riau. Dibagian akhir juga di ungkapkan beberapa metoda perkalian yang sudah lama wujud diberbagai Pesantren yang ada di wilayah Provinsi Riau bagian daratan, akan tetapi metoda perkalian ini dalam sejarah matematika dikenal dengan perkalian mesir kuno dan Gelosia Multiplication dari Medioval Eropa. Khusus untuk satuan tradisional disisipkan pendekatan pembelajaran untuk satuan tradisional pada Kurikulum Tingkat Satuan Pendidikan (KTSP) bagi pelajar Sekolah Menengah Pertama/ Madrasyah Tsyawiyah (SMP/MTs).
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    COMPARISON OF HEPATITIS-A AND HEPATITIS-B SURVIVAL FUNCTION BY USING LIFE TABLE SURVIVAL ANALYSIS (Case study at Dr. M. Djamil Hospital Padang in 2008)
    (2012-11-09) Yozza, Hazmira; Maiyastri; Swastika, Hardes
    Hepatitis is an inflammation of the liver, most commonly caused by a viral infection. There are five main type of hepatitis, referred to as types A, B , C, D and E . In this paper the survivor function of hepatitis A and hepatitis B patients are compared. Data is analyzed by using Life Table Survival Analysis. In general, hepatitis B viruses had better survival experienced than hepatitis A viruses, so the hepatitis A patients will recover faster than hepatitis B patients. The median survival time was 9,29 days for hepatitis A patients and 17,36 days for hepatitis B patients.
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    USING MACROMEDIA FLASH IN IMPROVING STUDENTS' ACHIEVEMENT AND LEARNING ACTIVITIES OF GEOMETRY AT GRADE IX OF MTsN SUNGAYANG ACADEMIC YEAR 2010/2011
    (2012-11-09) Fitriza, Rozi
    Geometry is one of lessons that teachers and students often complain with. Teachers, sometimes, do not optimally use teaching media, while a better way to teach geometry is through media. Macromedia Flash is one of computerized media that can be used to teach geometry. This paper discusses a research report about the implementation of macromedia flash in learning mathematics (geometry). The result of this study is that the students who are taught through using macromedia flash shows better result in geometry than they are who do not. Moreover, the research also found an increasing on student activities that are taught through macromedia flash.
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    Fuzzy On n Banach Spaces
    (2012-11-09) Muda, Yuslenita
    The main aim of this paper is to introduce the notion of fuzzy of n-Banach space with respect to an- norm for it is a complete fuzzy n -normed linear with respect to a- n -norm.
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    MENEROKAI ETNOMATEMATIK MELAYU-ISLAM: TEORI KOMBINATORIK AL-KHATIB DALAM ALAM AL-HUSSAB DAN RA UDAH AL-HUSSAB
    (2012-11-09) Rofa Ismail, Mat
    Kertas ini membincangkan tentang teori kombinatorik menurut al-Khatib menerusi tulisannya 'Alam al-Hussab dan Raudat al-Hussab. Perbincangan ini bertujuan untuk memerlhalkan model perbincangan matematik tempatan di bawah pengaruh Islam. Kedua-dua karya tersebut ditulis pada akhir kurun ke-19 dalam dua versi Arab dan Melayu. Kombinatorik dibincangkan di bawah tajuk aljabar yang disebut sebagai ilmu bertemper dalam tulisan tersebut. Ketika Barat masih menggunakan istilah adaptasi asal Arab yakni algebra, etnomatematik Melayu mencipta istilahnya tersendiri iaitu bertemper untuk merujuk ilmu berkenaan, yang menunjukkan matematik Melayu sebagai satu kesimbungan matematik tamadun Islam, sebagaimana algebra Eropah sebagai lanjutan aljabar Islam yang diasas oleh al-Khawarizmi.
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    THE IMPLEMENTATION OF MATHEMATICS TEACHING WITH OPEN-ENDED APPROACH TO UIN SUSKA RIAU MATHEMATICS STUDENT'S ABILITY OF MATHEMATICAL CREATIVE THINKING.
    (2012-11-09) Amir, Zubaidah
    Creative thinking and analytical thinking are both important ability in solving mathematical problems. But in most of the current formal education of mathematics, learning mathematics often focuses on developing analytical thinking skills only, while creative thinking skills are often overlooked, including in higher education. Therefore, it takes an effort to improve the creative thinking abilities of students by providing learning activities that can support the development of their creative abilities. Open-ended learning approach is one of learning approaches that allows students to cultivate creative thinking skills and make them actively involved in learning activities in lectures. Open-ended approach uses open-ended questions as a learning tool. An experimental study was conducted to find out the difference of creative mathematical thinking ability of students in the learning discrete mathematics by using an open-ended approach and their attitude toward learning. The research was conducted by using control group pretestposttest design. The population of this research was students who took discrete mathematics subject in academic year of the Department of Mathematics Education o f U IN Suska Riau, while the samples in this study were class A and B students who were randomly selected from all students as the control class and experimental class. The instrument used to collect data consisted of creative mathematical test contained math questions to measure ability of students' mathematical creative thinking. In addition, questiormaire on students' attitude with Likert-scale model to find out the students' attitudes towards learning by using open-ended ap^xozch. Based on analysis of data from the post-test results and findings of this research, it can be concluded that students' mathematical creative thinking skills learned by using open-ended approach is better than mathematical creative thinking ability of students who obtain regular learning. Based on questionnaire responses on the students' attitudes, students have a positive attitude towards learning by using open-ended approach
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    A Game Theory Framework for Clustering
    (2012-11-09) Salhi, Abdellah; Lausen, Berthold; Rohmatul, Fajriyah; Baeshen, Marwa; Toreyen, Ozgiin
    Abstract. The Game Theory-based Multi-Agent System (GTMAS) of Toreyen and Salhi, [10] and [12], implements a loosely coupled hybrid algorithm that may involve any number of algorithms suitable, o priori, for the solution of a given optimisation problem. The system allows the available algorithms to co-operate toward the solution of the problem in hand as well as compete for the computing facilities they require to run. This co-operative/competitive aspect is captured through the implementation of the Prisoners' Dilemma paradigm of game theory. Here, we apply GTMAS to the problem of clustering European Union (EU) economies, including Turkey, to find out whether the latter, based on a number of criteria, can fit in the EU Eind find out which countries, if any, it has strong similaries with. This clustering problem is first converted into an optimisation problem, namely the Travelling Salesman Problem (TSP) before being solved with GTMAS involving two players (agents) each implementing a standard compbinatorial optimisation algorithm. Computational results are included.