Judul: Hybrid Ducks Performance and Abdominal Fat Percentage after the Drinking Water was Supplemented by Gotu Kola (Centella asiatica (L.) Urban) and Cherry Leaves Herb (Muntingia calabura L.)
Abstrak: Penelitian ini bertujuan untuk mengetahui pengaruh pemberian herbal pegagan (Centella asiatica (L.) Urban) dan daun kersen (Muntingia calabura L.) dalam air minum terhadap performa, organ limfoid, persentase karkas dan lemak abdominal itik hibrida. Penelitian ini menggunakan 96 ekor itik hibrida (peking x khaki campbell) umur 15 hari yang diberi pakan komersial dan dibagi menjadi 3 perlakuan dan 4 ulangan. Desain penelitian yang digunakan adalah Rancangan Acak Lengkap (RAL) dengan perlakuan yaitu : P0 (kontrol), P1 (5 mL campuran herbal (pegagan dan daun kersen)), dan P2 (10 mL campuran herbal (pegagan dan daun kersen)). Variabel yang diamati adalah pertambahan bobot badan, konsumsi pakan, konversi pakan, konsumsi air minum, mortalitas, karkas, lemak abdominal, bursa fabricius, limfa, dan timus. Pengambilan lemak abdominal dan organ limfoid dilakukan setelah tiga minggu perlakuan. Data dianalisis varian (ANOVA) dan jika ada perbedaan nyata antar perlakuan dianalisis dengan Uji Duncan. Hasil penelitian menunjukkan bahwa suplementasi herbal pegagan dan daun kersen dalam air minum tidak berpengaruh nyata (p>0,05) terhadap pertambahan bobot badan, konsumsi pakan, konversi ransum, konsumsi air minum, mortalitas, karkas, lemak abdominal, dan organ limfoid itik hibrida. Suplementasi herbal pegagan dan daun kersen melalui air minum belum dapat menurunkan persentase lemak abdominal itik hibrida. Konversi ransum itik hibrida umur 3-5 minggu berkisar antara 2,59-3,02. Suplementasi herbal pegagan dan daun kersen tidak berdampak negatif terhadap organ limfoid itik hibrida., The study aim was to evaluate the effect of Gotu Kola and Cherry leaves herbs supplement in drinking water on hybrid ducks performance, lymphoid organs, carcass and abdominal fat percentage. This study used 96 hybrid ducks (Peking x Khaki Campbell) age 15 days old which were given commercial feed and divided into 3 treatments and 4 replications. The experimental design was completely randomized design (CRD) with treatments were : P0 (control), P1 (5 mL of herbal mix (gotu kola and cherry leaves)), and P2 (10 mL of herbal mix (gotu kola and cherry leaves)). The variables observed were body weight gain, feed consumption, feed convertion ratio, water consumption, mortality, carcass, abdominal fat, bursa fabricius, lymph, and thymus. The abdominal fat and lymphoid organs was measured after three weeks of treatment. Data were analyzed of Variance and significant differences between the treatments were analyzed by Duncan's Multiple Range Test. The result showed that gotu kola and cherry leaves herb supplement in drinking water have no significant effect (p>0,05) on body weight gain, feed consumption, feed convertion ratio, water consumption, mortality rate, carcass, abdominal fat and lymphoid organs. Gotu kola and cherry leaves herb supplement in drinking water hasn‟t been able to decrease the abdominal fat percentage of hybrid ducks. Feed convertion ratio of hybrid ducks age 3-5 weeks old ranged from 2,59-3,02. Gotu kola and cherry leaves mix supplement didn‟t negatively affect the lymphoid organs of hybrid ducks.
Keyword: abdominal fat, cherry leaves herb, gotu kola herb, hybrid ducks, production performance, daun kersen, itik hibrida, lemak abdominal, pegagan, performa produksi

Judul: Additon of Cherry Leaves (Muntingia calabura L.) and Gotu Kola (Centella asiatica (L.) Urban) Through Drinking Water on the Performance and Blood Profile of Hybrid Duck Starter Period
Abstrak: Penelitian ini bertujuan untuk mengevaluasi pemberian herbal daun kersen dan pegagan ke dalam air minum terhadap produksi dan kadar profil darah itik hibrida starter. Penelitian ini menggunakan 96 ekor itik hibrida (Peking x Khaki Campbell) umur 1 sampai 14 hari yang diberi pakan komersial (protein 21-23%) dengan 3 perlakuan dan 4 ulangan. Metode yang digunakan adalah Rancangan Acak Lengkap (RAL) yaitu : P0 (kontrol), P1 (5 mL campuran herbal), dan P2 (10 mL campuran herbal). Analisis data menggunakan uji ANOVA dan Uji Jarak Berganda Duncan. Hasil penelitian menunjukkan bahwa campuran daun kersen dan pegagan sebanyak 5ml dan 10ml mampu menurunkan pertambahan bobot badan. Campuran herbal daun kersen dan pegagan tidak mempengaruhi kadar profil darah itik hibrida., The study aims to evaluate the effect of giving Cherry leaves and Centella Asiatica herbs in drinking water on production performance and blood profile percentage of hybrid ducks. This study used 96 hybrid ducks aged 1 until 14 days which were given commercial feed (protein 21-23%) with 3 treatment groups and 4 replications. The method used was a completely randomized design (CRD) were : P0 (control), P1 (5 mL of herbal mix), and P2 (10 mL of herbal mix). Analyzed by Analysis of Variance (ANOVA) and Duncan's Multiple Range Test. The results showed that a mixtured of 5ml and 10ml of cherry leaves and gotu kola herb in drinking water was able to reduce body weight gain. The herbal mixture of Cherry leaves and gotu kola did not affect the blood profil of hybrid ducks.
Keyword: Centella Asiatica herb, cherry leaves, blood profile, Performances of hybrid duck.

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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