Judul: Fermentability Evaluation of Buffalo Ration Containing Sorghum using In Sacco, In Vitro and RUSITEC.
Abstrak: Sorgum Pahat, Samurai 1 dan Samurai 2 adalah varietas sorgum yang dihasilkan melalui pemuliaan mutasi radiasi oleh Badan Tenaga Nuklir Nasional (BATAN). Sorgum adalah sumber serat alternatif yang dapat digunakan sebagai formula ransum kerbau. Ransum kerbau dengan komposisi sumber serat : konsentrat (50:50) adalah proporsi ransum yang terpilih berdasarkan penelitian terdahulu. Perlu strategi yang tepat dalam pemanfaatan sorgum sebagai sumber serat bagi kerbau. Strategi tersebut adalah dengan menguji formula ransum yang mengandung sorgum Samurai 2 atau bagas yang merupakan limbah bioetanol berbahan dasar sorgum Samurai 1. Pengujian dilakukan secara in sacco, in vitro dan semi-continous in vitro untuk menganalisa potensi ransum yang mengandung sorgum mutan sebagai sumber serat bagi kerbau. Pengujian secara in vitro dilakukan dengan perunutan radioisotop 32P dan Hohenheim gas test untuk mewakili metode batch culture. Pengujian secara semi-continous in vitro menggunakan Rumen Simulation Technique (RUSITEC). Penelitian ini bertujuan untuk mengevaluasi ransum kerbau yang mengandung 50% konsentrat dan 50% sumber serat dari sorgum Samurai 2 atau bagas sorgum Samurai 1, dibandingkan dengan ransum kerbau yang mengandung 50% konsentrat dan 50% sumber serat dari sorgum Pahat dengan pendekatan in sacco, in vitro dan RUSITEC., Pahat sorghum, Samurai 1 and Samurai 2 were sorghum varieties produced by mutation radiation breeding from National Nuclear Energy Agency (BATAN). Sorghum was an alternative fiber source that could be used as a buffalo ration. Buffalo ration with a source from fiber composition : concentrate (50:50) was the proportion of elected ration based on the previous research. The right strategy for sorghum utilization as a source of fiber on buffalo ration needs to be done. The strategy was to test the formula diet containing Samurai 2 sorghum or Samurai 1 sorghum bagasse (stem waste from bioethanol production). Research methods were in sacco, in vitro and semi-continuous in vitro to analyze the potential of buffalo ration containing sorghum mutants as a source of fiber for buffalo. In vitro methods performed by tracing radioisotope 32P and Hohenheim gas test to represent the batch culture method. Semi-continuous in vitro used the Rumen Simulation Technique (RUSITEC). This study aimed to evaluate the buffalo ration containing 50% concentrate and 50% fiber source Samurai 2 sorghum or Samurai 1 sorghum bagasse, compared with buffalo ration containing 50% concentrate and 50% Pahat sorghum.
Keyword: in sacco, in vitro, rumen fermentation, RUSITEC, sorghum

Judul: Growth and Production of Sorghum Varieties of Samurai 1 Second Ratun by Treatment with Urea Fertilizer Dosage and Harvest Age
Abstrak: Sorgum merupakan tanaman serealia yang tumbuh di daerah tropis serta lahan marginal yang tahan terhadap kekeringan. Percobaan ini bertujuan mengevaluasi pertumbuhan dan produksi biomassa varietastanaman sorgum (Sorgum bicolor (L.) Monech) samurai 1 berasal dari turunan benih penjenis pada ratun kedua dengan dosis N dan umur panen. Penelitian ini menggunakan rancangan acak kelompok faktorial dengan 3 taraf urea, yaitu P1 (100 kg urea ha-1 ), P2 (200 kg urea ha-1 ), dan P3 (300 kg urea ha-1 ), dan 3 umur panen, yaitu T1 60 hari setelah panen (HSP), T2 65 HSP dan 70 HSP dengan 4 ulangan kelompok. Hasil penelitian menunjukkan bahwa tidak terdapat perbedaan nyata pada interaksi antar perlakuan terhadap pertumbuhan dan produksi sorgum. Hasil biomassa terbaik sebesar 63,80 ton ha-1 ditunjukkan oleh perlakuan 200 kg urea ha-1 dan 70 HSP. Kesimpulan dari penelitian ini adalah sorgum Samurai 1 yang dipupuk 200 kg urea ha-1dan dipanen pada umur 70 HSP menghasilkan pertumbuhan dan produksi biomassa tertinggi., Sorghum is a cereal plant that growsin the tropics and marginal landsthat are resistant to drought. This experiment was aimed to evaluate the growth and biomass production of the samurai 1 (Sorghum bicolor (L.) Monech) harvested at derivative time at second regrowing ratoon combined with N. This study used a factorial randomized design with 3 levels of urea, namely P1 (100 kg urea ha-1 ), P2 (200 kg urea ha-1 ), and P3 (300 kg urea ha-1 ), and 3 harvest if time, namely T1 60 days after harvest (DAH), T2 65 DAH and 70 DAH with 4 replicate groups. The results showed that there was no significant difference in the interaction between treatments on growth and production of sorghum. The best biomass yield of 63.80 tons ha-1 was indicated by the treatment of 200 kg urea ha-1 and 70 DAP. The conclusion of this study was that Samurai 1 sorghum fertilized with 200 kg urea ha1 and harvested at 70 DAP resulted in the highest growth and biomass production.
Keyword: Harvest age, production, sorghum, urea

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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