Judul: Production of Supplementary Wafers with Different Levels of Molasses and the Effect on the Performance of Laying Hens 24-31 Weeks Old
Abstrak: Penelitian ini bertujuan mengevaluasi kualitas fisik wafer suplemen dengan level molases yang berbeda dan mengetahui pengaruhnya terhadap performa ayam Isa Brown yang diberi wafer suplemen. Penelitian ini menggunakan 64 ekor ayam petelur (umur 24-31 minggu). Penelitian dibagi menjadi dua tahap. Tahap 1 adalah pembuatan wafer suplemen dengan level molases yang berbeda. Data diuji dengan ANOVA. Peubah yang diukur adalah aktivitas air (Aw), berat jenis (BJ), kadar air (KA), kelarutan total (KT), dan Wafer Durability Index (WDI). Hasil penelitian menunjukkan bahwa level molases yang berbeda berpengaruh nyata (P<0,05) terhadap BJ, KA, KT dan WDI tetapi tidak berpengaruh nyata (P>0,05) terhadap Aw. Tahap 2 adalah pemberian wafer suplemen pada ayam Isa Brown. Data diuji dengan uji T. Peubah yang diamati adalah konsumsi pakan, konsumsi air minum, Hen Day Production (HDP), bobot telur, massa telur, Feed Conversion Ratio (FCR), dan mortalitas. Pemberian wafer suplemen terbaik tidak berpengaruh nyata (P>0,05) terhadap konsumsi pakan, konsumsi air minum, HDP, bobot telur, massa telur, FCR, dan mortalitas., The research aimed to evaluate the physical quality of supplement wafers with the different levels of molasses and to measure the performance of Isa Brown chickens that given supplement wafer. This study used 64 laying hens (24-31 weeks old). This study was divided into 2 steps. Step 1 was supplement wafer production with different levels of molasses. Data was tested by ANOVA. Parameters measured were water activity (Aw), density, water content (KA), total solubility, and Wafer Durability Index (WDI). The results showed that molasses had a significant effect (P<0.05) on bulk density, water content, total solubility, and WDI but had no significant effect (P>0.05) on Aw. Step 2 was given supplement wafer to Isa Brown chickens. Data was tested by T-test. Parameters measured were feed consumption, drinking water consumption, Hen Day Production (HDP), egg weight, egg mass, Feed Conversion Ratio (FCR), and mortality. Adding the best supplement wafers had no significant effect (P>0.05) on egg weight, egg mass, feed consumption, drinking water consumption, FCR, HDP, and mortality.
Keyword: Ayam Isa Brown, kualitas fisik, performa, wafer suplemen

Judul: Effect of Anti-stress and Vitamin Supplement Wafers on Productivity of 20-23 Week Old Laying Hens
Abstrak: Penelitian ini bertujuan untuk Peternakan merupakan salah satu kegiatan memelihara hewan ternak yang mengevaluasi pemberian anti stres dan wafer suplemen vitamin mineral dalam air minum terhadap produktvitas ayam petelur strain Isa Brown umur 20-23 minggu. Penelitian dilaksanakan pada tanggal 25 November 2022 sampai dengan 7 April 2023, bertempat di Desa Parakan Jaya, Kecamatan Kemang, Kabupaten Bogor. Materi yang digunakan dalam penelitian adalah 96 ekor ayam strain Isa Brown usia 20-23 minggu, ransum komersil ayam petelur, air minum, anti stres, dan wafer suplemen vitamin mineral. Penelitian ini menggunakan metode eksperimen dengan menggunakan rancangan acak lengkap (RAL) yaitu P0: Air minum tanpa pemberian suplemen, P1: Air minum dengan pemberian 1 g anti stres dalam 1 L air, P2: Air minum dengan pemberian satu wafer suplemen dalam 10 L air. Hasil penelitian menunjukkan bahwa aplikasi pemberian anti stres dan wafer suplemen vitamin mineral tidak berbeda nyata (P>0,05) terhadap konsumsi pakan, konsumsi air minum, bobot telur,r, hen day production, feed conversion ratio, dan mortalitas ayam petelur strain Isa Brown usia 20-23 minggu., The purpose of this study is to evaluate the provision of anti-stress and wafer supplement of vitamin and mineral in drinking water on the productivity of Isa Brown laying hens age 20-23 Week. The research was conducted on the 25th November 2022 to April 7 2023, located in Parakan Jaya Village, Kemang District, Bogor Regency.. The material used in the study was 96 chickens of the isa strain brown aged 20-23 weeks, commercial ration of laying hens, drinking water, anti-stress, and vitamin mineral supplement wafer. This study uses the method experiment using a completely randomized design (CRD), namely P0: Water drinking without giving supplement, P1: Drinking water with giving 1 g of anti stress in 1 L of water, P2: Drinking water with one wafer supplement in 10 L of water. The results showed that the application of anti stress and vitamin mineral supplement wafers were not significantly different (P>0.05) on feed intake, water intake, egg mass, henday production, feed conversionrsion ratio, and mortality of laying hens of the Isa Brown strain aged 20-23 week.
Keyword: Isa Brown, layer, productivity, wafer supplement

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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