Judul: Ruminant responds fed forages which fertilized with sulfuric liquid
Abstrak: This research was aimed to utilize sulfuric nutrient which is contained in sulfuric liquid, so that it could k used by forages fed to ruminant animals. The first trial used complete randomized design in factorial 2 x 5 x 2. Factor A was manure in two levels 0 tonlha or 25 tonha. Factor 8 was sulfuric liquid in 5 level concentrations 0%, 25%, 50%, 75%, or 100%. Factor C was forage species (grassedlegumes) two species each. The grasses used were P. maximum cv. Riversdale and P. maximum cv. Gatton, while the legumes were Centrmema pubescens and Macroptilium afro9upureurn. The second trial (in vifm) used b k k randomized desrgn with factorial 2 x 5 x 2. As blodr there were three sheep as different inocutant host. The third trial to investigate the respond of ruminant fed forage silage with treated and untmated. This trial used 12 sheep. Data wre analyzed with t-test. The results of the first and the second trial, the combination of manure treatment 25 tonlha and the fertilization with sulfuric liquid 50% on P. maximum cv Riversdale and C. pubescens gave the optimal result for all variables. The treated silage (P. maximum cv. Riversdale + C. pusbescens) which fertitied with manure 25 tonlha and sulfuric liquid 50% gave the positii respond on sheep performance.
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Judul: Efek Taraf Protein dan Suplementasi Probiotik terhadap Fermentabilitas dan Kecernaan Ransum Sapi Potong in vitro
Abstrak: This experiment was aimed at studying the addition of solid or liquid probiotic into beef cattle rations at various protein levels on in vitro fermentability and digestibility. The experiment used factorial randomized block design 3 x 3 with 3 replicates. Factor A was rations treatment with three levels of protein and iso-calori form TDN 60%: A1 = forage + concentrate (CP 10%), A2 = forage + concentrate (CP 12%), and A3 = forage + concentrate (CP 14%). Factor B was of probiotics suplementation: B1 = without probiotic, B2 = 0.25% solid probiotic, and B3 = 0.10% liquid probiotic. The data were analyzed using analysis of variance (ANOVA), the difference between treatments were tested with contrast orthogonal. Results showed that A2 ration affected significantly concentrations of ammonia and bacterial population (P<0.01). Probiotic treatment had a significant influence on microbial protein synthesis (P<0.05); results also showed that suplementation of 0.25% solid probiotic was better in improving microbial protein synthesis compared to those without probiotic and 0.10% liquid probiotic
Keyword: solid probiotic., protein levels, liquid probiotic, fermentability

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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