Judul: Produksi Gas Bio Dari Campuran Kotoran Sapi Perah Dengan Kompos Jerami Padi Pada  Rasio C/N Yang Berbeda
Abstrak: Biogas is a renewable energy which can be used as alternative fuel instead of fuel such as oil and natural gas. Biogas is gases mixture that produced from organic fermentation processing by bacteria in anaerobic condition. The fermentation process for biogas production affected by C/N ratio. The optimum C/N Ratio is very important because related to metabolic activity of organism. Additional of rice straw can increase C/N ratio. The purpose of this research was to know production rates of biogas from dairy manure mixture with composted rice straw on different C/N ratio. The results showed that dairy manure mixture with compost rice straw on different C/N ratio very significant (P<0,01) to biogas production. The mixture between rice straw that composted by EM4 activator with dairy manure on C/N ratio 30 resulted highest biogas production. Keywords: Biogas, Ratio C/N, Dairy manure, Compost rice straw.
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Judul: Biogas Production from a Mix of Cow Manure with corn straw (Zea mays. L)
Abstrak: Biogas merupakan salah satu sumber energi alternatif yang dapat diperbarui karena menggunakan bahan baku yang berasal dari kotoran ternak. Tujuan penelitian ini adalah menganalisis roduksi dan kualitas biogas dari campuran kotoran sapi dengan jerami jagung (Zea mays. L). Penelitian dilakukan dengan 3 perlakuan yaitu kontrol sebanyak 100% kotoran sapi + 0% jerami jagung (S100J0), 75% kotoran sapi + 25% jerami jagung (S75J25), serta 50% kotoran sapi + 50% jerami jagung(S50J50) dan masing-masing 3 kali ulangan dengan analisis data menggunakan rancangan acak lengkap (RAL). Hasil penelitian menunjukkan bahwa campuran biogas kotoran sapi dengan jerami jagung berpengaruh nyata (P>0,05) terhadap produksi biogas yang dihasilkan (S100J0) menghasilkan produksi biogas yang paling tinggi. Suhu harian rata-rata hampir sama untuk semua perlakuan yaitu 27- 29 °C. Kandungan TS, VS awal dan akhir berturut-turut untuk S100J0, S75J25, dan S50J50 14,940; 12,916; dan 13,873. VS awal 12,660; 10,903; dan 10,996. TS akhir 10,643; 7,900; dan 10,550. VS akhir 6,286; 4,546; dan 7,323. Perlakuan S100J0 menghasilkan produksi yang lebih tinggi dan perlakuan penambahan jerami jagung 50% menghasilkan kualitas api yang baik berwarna biru, Biogas is a renewable alternative energy source because it uses raw materials derived from livestock manure. The purpose of this study was to analyze the production and quality of biogas from a mixture of cow dung and corm straw (Zea mays L). The study was conducted with 3 treatments, namely control as much as 0% corn straw or 100% cow dung (S100J0), 75% cow dung + 25% corn straw (S75J30), and 50% cow dung + 50% corn straw (S50J50) and 3 replications each with data analysis using a completely randomized design (CRD). The results showed that the mixture of cow dung biogas and corn straw had a significant effect (P>0,05) on the production of biogas (S100J0) produces the highest biogas production. The average daily temperature was almost the same for all treatments, namely 27-29 0C. The initial and final TS, VS content for S100J0, S75J25, and S50J50 14,940; 12,916; and 13,873. respectively. Initial VS 12,660; 10,903; and 10,996. Final TS 10,643; 7,900; and 10,550, and final VS 6,286; 4,546; and 7,323. The S100J0 treatment resulted in higher production and the addition of 50 % water hyacinth resulted in a good quality blue flame.
Keyword: alternative energy, biogas, corn straw, cow manure

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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