Judul: Konsentrasi mineral makro (Ca, P, Mg, dan S) dalam susu pada sapi yang diberi suplemen biomineral dienkapsulasi.
Abstrak: Lower productivity of dairy cow is caused by lack of grass availability especially in dry season, low concentrate quality and nutrient deficiency. The purpose of this experiment was to study the concentration of macro minerals (Ca, P, Mg, and S) in milk of Fries Holland dairy cows to the addition of encapsulated biomineral supplement in feed. The biominerals was prepared from rumen liquor. This experiment used a randomized block design, with 4 treatments and 4 groups as replications. Treatments consisted of R1 (control), R2 (R1 + 1.5 % biomineral without protection), R3 (R1 + 1.5% encapsulated biomineral) and R4 (R2 + 1.5% mineral mix). The experiment was conducted for 62 days with the adaptation periods for 2 weeks. Variables observed were dry matter intake, mineral consumptions and mineral concentrations (Ca, P, Mg, and S) in milk. The data were analyzed using Analysis of Variance, and differences among treatments were further examined with Contrast Orthogonal Test. The results showed that treatments did not significantly affect feed consumption, mineral intake and mineral concentrations in milk. However, the biomineral supplements can still be used as supplement in dairy ration.
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Judul: Respon Produksi Susu Sapi  Friesian Holstein  terhadap Pemberian Suplemen Biomineral Dienkapsulasi.
Abstrak: Lower productivity of dairy cow is caused by lack of grass especially in dry season, lower concentrate quality and nutrient deficiency. The purpose of this experiment was to study milk production respons of Friesian Holstein dairy cows to the addition of encapsulated biomineral suplement in feed. This experiment used a completely randomized design with 4 treatments and 4 replications. Treatments consisted of R1 (control), R2 (R1 + biomineral without protection), R3 (R1 + encapsulated biomineral) and R4 (R1 + mineral mix). The experiment was conducted for 62 days with the adaptation periods for 2 weeks. Variables observed were feed consumption, dry matter consumption, crude protein consumption, TDN consumption, daily body weight gain and milk production. The data were analyzed by analysis of variance, and differences among treatments were examined with contrast orthogonal test. The results showed that treatments did not significantly affect feed, dry matter, crude protein and TDN consumptions, daily body weight gain and milk production. The highest daily body weight gain was obtained from treatment with mineral mix; in contrast, control treatment produced the lowest body weight gain. The highest decreasing rate in milk production was obtained from treatment with encapsulated biomineral; on the other hand, control treatment produced the lowest decreasing rate in milk production. Therefore, the additions of encapsulated biomineral supplement has not increased feed intake, daily body weight gain and milk production.
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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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