Judul: Pemberian Ekstrak Daun Murbei Yang Difermentasi Dengan Cairan Rumen Dalam Pakan Mencit (Mus Musculus) Sebagai Hewan Model Sistem Pasca Rumen
Abstrak: The objective of this experiment was to study the effect of fermented mulberry leaves extract utilization in mice feed as animal model for post ruminal system. This experiment used a completely randomized design, with 6 treatments and 4 replications. The treatments were P0 (semi purified diet), P1 (P0 + fermented rumen liquid residue), P2 (P1 + mulberry leaves extract 0.06% DNJ), P3 (P1 + fermented mulberry leaves extract 0.06% DNJ), P4 (P1 + mulberry leaves extract 0.12% DNJ), and P5 (P1 + fermented mulberry leaves extract 0.12% DNJ). The experiment was conducted for 24 days with 3 days adaptation periods. Variables observed were feed consumption, feed digestibility, daily body weight gain and blood glucose. The data were analyzed by Analysis of Variance, and differences among treatments were examined with Duncan’s Multiple Range Test. The results showed that the addition of mulberry leaves extract significantly (P<0.01) reduced daily body weight gain, consumption, and blood glucose, reduce feed digestibility (P<0.05) compared to control, but fermented mulberry leaves extract could reduce the negative effect of DNJ. Daily body weight gain of mice given 0.06% and 0.12% fermented mulberry leaves extract was significantly (P<0.01) higher than those mice given the same concentration of non fermented mulberry leaves extract (0.10 vs – 0.16 gram/day) and (0.01 vs – 0.14 gram/day). It is concluded that DNJ in mulberry leaves extract is not fully degraded in the rumen, and it still has negative effect to the variables measured. Keywords : mulberry leaves extract, fermented, mice, post ruminal
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Judul: Kecernaan Ransum Berbasis Jerami  Padi yang Diberi Tepung Daun Murbei  Sebagai Substitusi Konsentrat Pada  Sapi Peranakan Ongole
Abstrak: Mulberry leaf has a great potential as animal feed because of its high nutrient content. It has 20,4% crude protein, therefore it can be used as substitution for concentrate. The aims of this experience was to study effect of mulberry leaf as substitution of concentrate in PO cattle. This experiment used completely randomize design with 3 treatments and 4 replications. The treatments were P1 (50% rice straw + 50% concentrate/control), P2 (50% rice straw + 25% concentrate+ 25% mulberry leaf), P3 (50% rice straw + 50% mulberry leaf). This experiment was conducted for 2 months with 2 weeks adaptation periode. Variables observed were dry matter digestibility, crude protein digestibility, crude fiber digestibility, extract eter digestibility, and total production of rumen VFA. The data were analyzed by Analysis of Variance, and differences among treatments were tested with Duncan Multiple Range Test. The results showed that mulberry leaf can substitute concentrate at most 50%. The addition of mulberry leaf significantly (P<0.05) increased crude fiber digestibility but decreased crude protein and eter extract digestibility. The mixture between concentrate and mulberry leaf increased dry matter digestibility and the amount of total VFA.
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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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