Judul: Utilization of Dates Liquid Waste as Molasses Substitute in Sheep Ration
Abstrak: Penelitian ini bertujuan mengkaji pemanfaatan limbah cair sari kurma (LCSK) sebagai pengganti molasses dalam pembuatan pakan domba. Penelitian menggunakan Rancangan Acak Lengkap (RAL) 5 x 4 dengan perlakuan P1 = pakan menggunakan molasses 100%, P2 = substitusi molasses dengan LCSK 25%, P3 = substitusi molasses dengan LCSK 50%, P4 = substitusi molasses dengan LCSK 75%, P5 = substitusi molasses dengan LCSK 100%. Peubah yang diamati meliputi kualitas fisik dan kimia LCSK dan molasses, kualitas fisik ransum mash mengandung LCSK dan molasses, dan pola tingkah laku dan waktu makan domba. Data yang diperoleh dianalisis dengan ANOVA dan dilanjutkan dengan uji Duncan. Hasil berbeda nyata (P<0.05) pada uji kualitas fisik ransum mash mengandung LCSK dan molasses meliputi kerapatan tumpukan (KT), kerapatan pemadatan tumpukan (KPT), ukuran partikel (UP), sudut tumpukan (ST), serta tingkah laku makan domba dalam kegiatan mulai makan, namun, tidak berpengaruh nyata (P>0.05) terhadap nilai berat jenis (BJ), tingkah laku makan domba dalam kegiatan mencium, menjilat, jumlah pakan yang dikonsumsi, dan pakan yang tersisa. Dapat disimpulkan bahwa penggunaan 100% LCSK pada P5 sebagai bahan pengganti molasses dalam ransum domba dapat meningkatkan daya terima domba terhadap ransum yang diberikan. Kata kunci: limbah cair sari kurma, molasses, pakan domba, pakan sumber energi, The study aims to examine the use of dates liquid waste (DLW) as a substitute for molasses in the manufacture of sheep feed. This research used a completely randomized design (CRD) 5 x 4 with treatment P1 = feed using 100% molasses, P2 = substitution of molasses with 25% of DLW, P3 = substitution of molasses with 50% of DLW, P4 = substitution of molasses with 75% of DLW, P5 = substitution of molasses with 100% of DLW. Variables observed were included the physical and chemical quality of DLW and molasses, the physical quality of mash ration containing DLW and molasses, and dietary habit and meal time of sheep. Data were analyzed by ANOVA and continued with Duncan’s test. The results were significantly different (P<0.05) on the physical quality test of mash ration containing DLW and molasses including bulk density (KT), compact bulk density (KPT), particle size (UP), angle of repose (ST), and dietary habit of sheep in the activity of starting to eat, however, it had no significantly effect (P>0.05) on the value of specific gravity (BJ), dietary habit of sheep in the activities of smelling, licking, feed consumption, and the leftover feed. In conclusion, the used of 100% DLW in P5 as a substitute for molasses in sheep ration can increase the sheep’s acceptance of the experimental ration. Keywords: dates liquid waste, energy source feed, molasses, sheep feed
Keyword: dates liquid waste, energy source feed, molasses, sheep feed

Judul: Evaluation of Feeding Completer Wafers Containing Lamtoro Leaves-Cassava Leaves to Sheep
Abstrak: Legum dan limbah pertanian merupakan bahan yang dapat digunakan sebagai pengganti hijauan. Contoh leguminosa adalah daun lamtoro dan contoh limbah pertanian adalah daun singkong. Penelitian ini bertujuan untuk mengevaluasi kualitas pakan wafer yang mengandung lamtoro levaes-daun singkong dengan pemberian wafer dengan persentase yang berbeda. Penelitian ini menggunakan 5 perlakuan dengan 4 ulangan. Perlakuan yang diberikan adalah P0 = pakan konvensional (hijauan), P1 = pakan konvensional + 25% pakan wafer, P2 = pakan konvensional + 50% pakan wafer, P3 = pakan konvensional + 75% pakan wafer, P4 = 100% pakan wafer. Data dianalisis menggunakan ANOVA dan uji Duncan. Berdasarkan kualitas fisik yang dilihat dari kadar air, aktivitas air, densitas, dan daya tahan pakan wafer memiliki kualitas yang lebih baik. Kondisi fisiologis pada penelitian ini normal dilihat dari parameter suhu rektal, denyut jantung, dan pernapasan. Hasil percobaan menunjukkan bahwa perlakuan pakan berpengaruh terhadap (P<0,05) konsumsi pakan, pertambahan bobot badan, dan efisiensi pakan. Hasil penelitian menunjukkan bahwa pemberian pakan wafer akan meningkatkan konsumsi zat gizi BK, PK, SK, LK pakan domba. Pertambahan bobot badan terbaik pada pemberian pakan wafer dinyatakan oleh P3 dengan nilai 105,80 g ekor-1 hari-1. Hasil efisiensi pakan terbaik dari penelitian ini adalah P2 dengan nilai 7,40 % dan IOFC hasil terbaik adalah P4 dengan nilai Rp. 395.583, Legumes and agricultural waste are materials that can be used as substitutes for forage. An example of leguminosae is lamtoro leaves and an example of agricultural waste is cassava leaves. This study aimed to evaluate the quality of wafer feed containding lamtoro levaes-cassava leaves by feeding wafers with different percentages. This research used 5 treatments with 4 replications. The treatments given were P0 = conventional feed (forage), P1 = conventional feed + 25% wafer feed, P2 = conventional feed + 50% wafer feed, P3 = conventional feed + 75% wafer feed, P4 = 100% wafer feed. Data were analyzed using ANOVA and Duncan's test. Based on the physical quality as seen from the water content, water activity, density, and durability the wafer feed has better quality. The physiological condition on this research was normal as seen from the parameters of rectal temperature, heart rate, and respiration. The result of this experiment showed that feed treatments affected (P<0.05) consumption feed, body wight gain, and feed efficiency. The results of this research indicate that the giving of wafer feed will increase the consumption nutrient DM, CP, CF, EE of sheep feed. The best result of body wight gain that feeding wafers is trated by P3 with value of 105,80 g head-1 day-1 . The best result of feed efficiency from this research is P2 with value 7,40 % and best result IOFC is P4 with value Rp. 395.583.
Keyword: feed wafers, nutrient quality, physical quality, sheep performance

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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