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INDONESIA
Jurnal Matematika Sains dan Teknologi
Published by Universitas Terbuka
ISSN : 14111934     EISSN : 24429147     DOI : -
Core Subject : Education, Agriculture,
Agriculture, Biological Sciences & Forestry Mathematics Other
Merupakan media informasi dan komunikasi para praktisi, peneliti, dan akademisi yang berkecimpung dan menaruh minat serta perhatian pada pengembangan Matematika, ilmu pengetahuan dan teknologi. Diterbitkan oleh Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Terbuka.
Arjuna Subject : -
Articles 403 Documents
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KOREKSI GAYA GRAVITASI DAN EFEK GRAVITOELEKTROMAGNETISME BERDASARKAN ENTROPI GRAVITASI KUANTUM Tiandho, Yuant
Jurnal Matematika Sains dan Teknologi Vol 18 No 2 (2017)
Publisher : LPPM Universitas Terbuka

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In  the weak-field limit condition, the gravitational force has a form that is analogous to the electromagnetic force. So that by using the analogy, we may propose the formula that called as gravitoelectromagnetism effect. Like the electromagnetic field, the gravity also predicted to has gravitoelectric field and gravitomagnetic field. In this paper we derive the expression of gravitational force as the entropic force according to correction of the generalized uncertainty principle (GUP) in the study of quantum gravity. Newton's gravitational force arise naturally due to the change of information (entropy) of a holographic screen that produced by object with mass M and it can be detected by other object which has mass m. From the formulation of gravity that we obtain, it appears that in the surrounding of object with mass M can be found the additional mass density which is indicated as a quantum foam. So according to the indications we calculate the gravitoelectric field and the gravitomagnetic field of the rotating object and we found that the result also influenced by the quantum fluctuations. Pada kondisi medan lemah gaya gravitasi memiliki bentuk yang analogi dengan gaya elektromagnetik, sehingga melalui analogi tersebut dapat diajukan suatu rumusan yang disebut dengan efek gravitoelektromagnetisme. Layaknya medan elektromagnetik, gravitasi juga diprediksi memiliki medan gravitoelektrik dan medan gravitomagnetik. Di dalam artikel ini penulis mencoba menurunkan ungkapan gaya gravitasi sebagai gaya entropik berdasarkan koreksi dari generalized uncertainty principle (GUP) sesuai kajian gravitasi kuantum. Gaya gravitasi Newton muncul secara alami karena adanya perubahan informasi (entropi) dari layar holografik yang dihasilkan oleh objek bermassa M dan terdeteksi oleh objek lain yang bermassa m. Dari rumusan gaya gravitasi yang diperoleh tampak bahwa di sekitar objek bermassa M terdapat densitas massa tambahan yang dapat dipandang sebagai quantum foam. Dengan adanya indikasi tersebut penulis menghitung medan gravitoelektrik dan gravitomagnetik pada objek yang berotasi dan ternyata kedua medan yang dihasilkan juga dipengaruhi oleh adanya fluktuasi kuantum.
KONSENTRASI TIMBAL (Pb) PADA PERAIRAN DI SEKITAR TELUK JAKARTA Rumanta, Maman; Latief, Amril; Rahayu, Ucu; Ratnaningsih, Anna; Nurdin, Gusti
Jurnal Matematika Sains dan Teknologi Vol 9 No 1 (2008)
Publisher : LPPM Universitas Terbuka

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Abstract

he purpose of this study is to get information about river that has the greatest contribution to cause Pb pollution in the Jakarta Bay. Nine (9) of 13 rivers flowing into Jakarta Bay were chosen. They were Citarum, Bekasi, Cilincing, Marunda, Ciliwung, Sunter, Cideng, Angke, and Cisadane. Sampling were taken in two periods of times, rainy and dry season of 2006 with triple repeatations. pH and temperature of samples as proponent data were measured insitu. Pb concentration in the water of the river was measured by using AAS flame in the laboratory of Balai Penelitian Tanah Bogor. Data was analyzed statistically (one way ANOVA and t-test) by using SPSS 11.5 software. It was shown that Pb concentration of estuary water surrounding Jakarta Bay has been exceeding threshold level. There was a tendency that Pb concentrations of water in rainy season are lower than that in dry season except in Ciliwung River. The anomaly of Ciliwung River was probably caused by some industries which throw their wastes into Ciliwung River in the rainy season. It was concluded that all of 9 rivers have a significant contribution to Pb pollution in Jakarta Bay, and the most was from Ciliwung River.
POLA PEMANFAATAN SUMBER DAYA, SUBSISTENSI DAN POLA HUBUNGAN PATRON-KLIEN MASYARAKAT NELAYAN DANAU TEMPE, SULAWESI SELATAN Fatriyandi Nur Priyatna; Sumartono Sumartono
Jurnal Matematika Sains dan Teknologi Vol. 12 No. 1 (2011)
Publisher : LPPM Universitas Terbuka

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The objective of this article is to study the relation among resource utilization pattern, subsistence and patron client relationship in Danau Tempes fisheries community, South Sulawesi, using a qualitative research method. Data were collected purposive for both small scale and relatively big scale fisheries by means of indepth interview and observation. Scotts moral economy framework was used to analyze the nature of social phenomena. The results show that fisheries resource scarcity due to intensive fishing activities were the reason behind fisheries communitys strategy to handle the subsistence crisis. Patron-client relation was used by fisheries community which hold trust and kinship in regard. The relation was also based on mutual solution in terms of social reciprocity. Clients tend to maintain their relation to patrons due to safety and security reasons from their subsistence crisis, eventhough they have smaller economic profit from that relation. While patrons help clients based on social obligation to help others.
KOMPETENSI PENYULUH DALAM MENGAKSES INFORMASI PERTANIAN (KASUS ALUMNI UT DI WILAYAH SERANG) Nurul Huda; Ludivica Endang Setijorini
Jurnal Matematika Sains dan Teknologi Vol. 11 No. 1 (2010)
Publisher : LPPM Universitas Terbuka

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The objectives of this study were to describe the competence of the agriculture extension workers in terms of their access on agricultural information. By using an explanatory research design and a census method, all population of agricultural extention workers in Serang Regency, West Java were used as respondent. Data were collected by questionnaire and analyzed with descriptive and regression analysis. The results of this study indicated that generally no relation was found between factors on individual characteristics, learning activities at UT, other learning source, environment factors, and their competence on information access. It was found that their competence level was categorized as moderate. The same level was also on their competence aspects, those were cognitive, affective, and psychomotor. Related to their perfomance in innovation implementation, the findings indicated that the level was moderate. In conclusion, the competence of agriculture extension workers which was categorized as moderate need to to be improved in order to give a better service to farmer.
KONSISTENSI KOEFISIEN DETERMINASI SEBAGAI UKURAN KESESUAIAN MODEL PADA REGRESI ROBUST THE CONSISTENCY OF COEFFICIENT OF DETERMINATION TO FITTING MODEL THROUGH ROBUST REGRESSION Sugiarti, Harmi; Megawarni, Andi
Jurnal Matematika Sains dan Teknologi Vol 13 No 2 (2012)
Publisher : LPPM Universitas Terbuka

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In statistics, the coefficient of determination can be used to assess the suitability of a model with the data. If there are outliers in the data, the coefficient of determination obtained by the OLS method is not consistent. The purpose of this study was to compare the coefficient of determination of regression lines obtained by the OLS, the M and the LMS methods as a measure of the suitability model. The result showed that when the data contains no-outlier, the LMS method is as consistent as the OLS and the M methods concerning the coefficient of determinations. When the data contain outliers, the LMS method is more consistent than the OLS and the M methods. This result was based on real data with 9.1% outliers. Dalam statistik, koefisien determinasi dapat digunakan untuk menilai kesesuaian model dengan data. Jika ada outlier pada data, koefisien determinasi yang diperoleh dengan metode OLS tidak konsisten. Tujuan dari penelitian ini adalah untuk membandingkan koefisien determinasi dari garis regresi yang diperoleh melalui metode OLS, M dan metode LMS sebagai ukuran model kesesuaian. Hasil penelitian menunjukkan bahwa ketika data tidak mengandung-outlier, metode LMS adalah konsisten, serupa dengan metode OLS dan metode M terkait dengan koefisien determinasi. Ketika data mengandung outlier, metode LMS lebih konsisten daripada metode OLS dan metode M. Hasil ini berdasarkan ujicoba pada data nyata dengan outlier 9,1%.
MENGATASI MASALAH MULTIKOLINEARITAS DAN OUTLIER DENGAN PENDEKATAN ROBPCA (STUDI KASUS ANALISIS REGRESI ANGKA KEMATIAN BAYI DI JAWA TIMUR) Sony Sunaryo; Setiawan Setiawan; Tiodora Hadumaon Siagian
Jurnal Matematika Sains dan Teknologi Vol. 12 No. 1 (2011)
Publisher : LPPM Universitas Terbuka

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Multicollinearity and outliers existence in data can be detected by various techniques. Principal Component Analysis (PCA) is one of the statistical techniques that can be used to handle data reduction and multicollinearity problem. However, PCA is very sensitive to outliers as it based on the mean and the covariance matrix. Hubert et al. (2005) developed ROBPCA, a robust PCA to the outliers existence. The ROBPCA combines PP technique and Minimum Covariant Determinant (MCD) method for solving outliers problem. In the present study, ROBPCA is applied to the study case of the regression analysis of infant mortality rate in East Java Province in 2009. The result shows that ROBPCA is more robust compare to PCA when data contains outlier. ROBPCA can explain 85.6 percent of variation by 2 principal components, whereas, PCA needs 3 principal components to explain 86.6 percent of variation. Moreover, ROBPCA produces higher coefficient determination which means the regression model using ROBPCA is better in explaining response variable. The study findings also revealed that the average of duration of exclusive breastfeeding has the largest contribution in lowering infant mortality rate followed by percentage of delivery assisted by medical provider and percentage of households that have access to safe drinking water.
KEKAYAAN JENIS TANAMAN PADA BAKAL ARBORETUM UNIVERSITAS TERBUKA Handayani, Sri Kurniati
Jurnal Matematika Sains dan Teknologi Vol 16 No 1 (2015)
Publisher : LPPM Universitas Terbuka

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At this moment, the land allocated for arboretum of Universitas Terbuka has been planted, however the number and the name of plants are still unknown. Then, the initial research need to be performed in order to measure the varieties richness. The research purpose is to measure the physical environment and the variations. Data collection of physical conditions performed by measure the physical parameters such as the size of area, altitude, type of soil, rainfall level, and the air temperature. The research method used is the survey with sensus technique and descriptive data analysis. The result of the physical environment measurement indicated that the first location has size of 60x42 m and second location has 37x15 m, is 110 m above the sea level, with red yellow podsolic soil, the average rainfall per year is 177,3 mm with air temperature between 23,5-32,6C. In the soon to be arboretum land has grass and bushes that cover about 95% of the soil and 333 trees with canopy area around 10% of the land. In total, the richness of vegetaton consist of 64 species from 63 genus and 42 families. Pada saat ini lahan yang diperuntukkan sebagai kawasan arboretum Universitas Terbuka sudah ditanami tumbuhan, namun belum diketahui nama jenis dan jumlah tanaman yang ada. Dengan demikian, perlu dilakukan penelitian awal untuk mengukur kekayaan jenis tanamannya. Penelitian bertujuan untuk mengukur kondisi lingkungan fisik dan kekayaan jenis tanamannya. Pengumpulan data kondisi lingkungan fisik dilakukan dengan mengukur parameter fisik seperti luas area, ketinggian tempat, jenis tanah, curah hujan, dan temperatur udara. Metode penelitian yang digunakan adalah survei dengan teknik sensus, dan analisis data disajikan secara deskriptif. Hasil pengukuran lingkungan fisik menunjukkan bahwa lokasi 1 penelitian memiliki ukuran luas 60x42 m dan lokasi 2 berukuran 37x15 m, terletak pada ketinggian 110 meter di atas permukaan laut, dengan jenis tanah podsolik merah kuning, memiliki curah hujan rata-rata per tahun 177,3 mm dengan temperatur udara rata-rata berkisar antara 23,5-32,6C. Pada lahan bakal Arboretum ditumbuhi oleh rumput-rumputan dan tanaman semak yang menutupi sekitar 95% permukaan tanah serta 333 tegakan pohon dengan naungan kanopi sekitar 10% lahan. Secara keseluruhan kekayaan jenis tanaman pada lahan tersebut terdiri atas 64 spesies dari 63 marga dan 42 famili.
KARAKTERISASI RASA GURIH PADA BEBERAPA PRODUK PANGAN (Characterisation of ‘Gurih’ Taste of Several Food Products) Nadia, Lula; Apriyantono, Anton; Rahayu, Winiati Puji
Jurnal Matematika Sains dan Teknologi Vol 5 No 2 (2004)
Publisher : LPPM Universitas Terbuka

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The aim of this research was to find the sensory characteristic of ‘gurih’ taste of some food models. Several steps were used to determine: (1) People perception of ‘gurih’, (2) Food ingredients which influence ‘gurih’ taste intensity, and (3) The difference between ‘gurih’ and umami taste. From 1500, 908 questionnaires were returned with complete answer by the participants. Meat, peanut and cheese were chosen as being ‘gurih’ food by 97% of participants. They also perceived that ‘gurih’ taste present in food actually by the contribution of several food ingredients mainly protein, fat, and salt. Use of oil was preferred by 100% of the participants as a type of cooking which could build ‘gurih’ taste in food. Based on participants choice of ‘gurih’ food, meat, peanut and cheese were used as food models. Meat model was made by using hydrolyzed vegetable protein (HVP), chicken fat, and chicken flavor (22.0 : 6.2 : 0.5), peanut model was made by using HVP, peanut oil, corn starch, and carboxy methyl cellulose  (27.5 : 42.5 : 20.0 : 2.8); and cheese model was made by using skim milk, milk fat, salt, and cheese flavor (27.5 : 18.0 : 3.2 : 0.5). Using Omission Test for each compound of food model ingredient and t-test to compare the ‘gurih’ level of meat or peanut model, it was found that omitting  HVP, salt and chicken fat or peanut oil gave significant lower level of ‘gurih’ of the models than the complete one (p < 0.01). The same result was also found in cheese model, where omitting skim milk, milk fat or salt gave significant lower level of ‘gurih’ of the model than the complete one.  It was also found that the omission of protein-rich ingredient (HVP or skim milk) and salt gave significantly lower level of ‘gurih’ taste than the omission of chicken fat, milk fat or peanut oil (p < 0.01). Using the concentration which give 10% stimulus, the intensity of ‘gurih’ taste of food models (0.5% w/v for meat, 0.1% w/v for peanut, and 1% w/v for cheese) was significantly higher than umamis’ models (0.06% w/v for MSG, 0.03 : 0.17 w/v for MSG + salt, 0.03 : 0.17 : 0.11 w/v) (p < 0.01) and was the same with umamis’ models MSG + salt + oil or fat. This finding indicates that the addition of fat was importance to make ‘gurih’ taste to the both model. Meanwhile, there were no research was found that tells the influence of fat on umami taste. In conclusion, ‘gurih’ taste could be found mainly in meat, peanut, and cheese. ‘Gurih’ taste intensity was influenced by several food ingredients. The presence of ‘gurih’ taste was easy to be recognized in food models and the addition of fat in the model make ‘gurih’ taste probably has different taste  from umami.
BEBERAPA KONSEKUENSI SITUASI MEDIASI SEMPURNA PADA STRUKTUR KORELASI, KONTRIBUSI MEDIATOR, DAN UKURAN SAMPEL Deddy A Suhardi; Isfarudi Isfarudi
Jurnal Matematika Sains dan Teknologi Vol. 11 No. 1 (2010)
Publisher : LPPM Universitas Terbuka

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A very popular article by Baron and Kenny (1986), later extended by Kenny, Kashy, and Bolger (1998), recommended to social psychologists a test of mediation based on a set of steps involving correlations and regression weights. The serial published tests of mediation has come to be known as the Baron-Kenny approach. By the Baron-Kenny approach, a simple complete mediation is to be indicated which is a test of the direct path between an independent variable (X) and a dependent variable (Y) with a mediator variable (M) controlled is not significant. A simple mediation model has three correlations of their variables each. According to sequential regression analysis on a simple mediation model, a mediator M come after an independent variable X exist in the model, has a contribution of the mediator. Otherwise, sample size is a critical component to test as well as statistically significances. We argue the importance of investigating condition and interrelation of the three correlations, sequential contribution of the mediator, and sample size in the simple complete mediation cases by using hypotetical data generated by Microsoft Excel. We indicate some general consequences of simple complete mediation cases that are: (i) average of correlation XY is lower than average of correlation XM that lower than average of correlation MY; (ii) average contribution of mediator, indicated by R2 change, at interval of 23% up to 27%; (iii) distribution of effects X on Y when M controlled is influenced by sample size, the higher sample size, the lower distribution is; and (iv) average of mediation effects is at interval: 0.4 and above for levels of small sampel size (10 up to 40), between 0.2 and 0.4 for levels of medium sample size (50 up to 300), and under 0.2 for levels of large sample size (500 or above).
LINGKUNGAN FISIK DAN KEKAYAAN MIKROALGA DI DANAU UNIVERSITAS TERBUKA, TANGERANG SELATAN Prasetyo, Budi
Jurnal Matematika Sains dan Teknologi Vol 14 No 2 (2013)
Publisher : LPPM Universitas Terbuka

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Lake of Open University (UT) is designed not only as a container, watershed, irrigation, sports, and recreation, but also as critical habitat for the survival of plants and aquatic animals ranging from algae groups to types of vertebrate. Information relating to the data microalgae and environmental conditions of lake UT physical and chemical have not been investigated. Research objectives were to measure the wealth of microalgae that live in Lake UT, the microalgae diversity, and the physical and chemical environment. The method used to identify each kind of microalgae, is by counting the number of individuals microalgae, and analyze the water quality. Measurement results showed that the brightness of the physical environment of the lake water had turbid category (52-60 cm). The temperature of the lake water showed 31 to 31.5 oC, this temperature range is good for the growth of microalgae. Value of the degree of acidity of water was 7.3 to 7.5. DO measurements generating valued from 0.5 to 0.57 mg/L. The wealth of microalgae that live in lake UT was identificated as many as 21 genera at four stations with a total population of 4.080 individual/mm3. The highest percentage individual was Scenedesmus sp. Species richness index was 3,33 (medium category). Highest individual density was found in th middle of the lake by 4.651 individualLitre, followed by a passage from edge of the lake to the edged of gazibu (2.318 individual/Litre), the edge of lake (2.025 individual/Litre), and the last outlet (1.193 individual/Litre) lake. Biodiversity index is quite low at 2.107. Desain pembuatan danau UT di samping sebagai tempat resapan air, wahana rekreasi, sarana olahraga, juga merupakan habitat penting bagi tumbuhan dan hewan air (golongan alga sampai jenis vertebrata). Informasi mengenai data mikroalga serta kondisi fisik dan kimiawi lingkungan danau UT belum diketahui sehingga perlu dilakukan penelitian. Tujuan penelitian untuk mengukur kekayaan mikroalga, keanekaragaman mikroalga, dan kondisi lingkungan fisik dan kimiawi. Metode yang digunakan adalah mengidentifikasi setiap jenis dan menghitung jumlah individu mikroalga, serta menganalisis kualitas air. Hasil pengukuran kecerahan air danau dikatakan relatif keruh (52-60 cm). Pengukuran suhu air menunjukkan besaran angka 31-31,5oC, kisaran suhu tersebut baik bagi pertumbuhan mikroalga. Nilai derajat keasaman air adalah 7,3-7,5, sedangkan hasil pengukuran DO sebesar 0,5-0,57 mg/L. Kekayaan mikroalga yang teridentifikasi di danau UT sebanyak 21 genus ditemukan di empat stasiun dengan total populasi 4.080 individu/mm3. Persentase jumlah individu terbanyak adalah Scenedesmus sp. Indeks kekayaan jenis termasuk kategori sedang (3,33). Kepadatan individu tertinggi ditemukan di stasiun-2 (bagian tengah) sebesar 4.651 individu/Liter, selanjutnya diikuti oleh stasiun-3 dari tepi danau sampai tepi gasebo (2. 318 individu/Liter), stasiun-1 di bagian tepi danau (2.025 individu/Liter), dan stasiun-4 di bagian keluaran air (1.193 individu/Liter). Indeks biodiversitas jenis cukup rendah yaitu 2,107.

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