Judul: Penambahan Tepung Daun Kayu Manis Cinnamomum burmannii pada Pakan Terhadap Kinerja Pertumbuhan Ikan Gurami Osphronemus goramy
Abstrak: Penelitian ini bertujuan untuk mengevaluasi respon pemberian daun kayu manis pada pakan terhadap respon kinerja pertumbuhan ikan gurami. Penelitian menggunakan lima perlakuan yaitu penambahan tepung daun kayu manis sebanyak 0, 5, 10, 15 dan 20 g kg-1 padapakan komersial. Ikan gurami uji dengan bobot rata-rata 0,77±0,01 g dipelihara di akuarium berukuran 95 x 45 x 40 cm dengan padat tebar 15 ekor ikan per akuarium selama pemeliharaan 60 hari. Ikan gurami diberi pakan secara at satiation dengan frekuensi pemberian pakan sebanyak tiga kali sehari. Hasil penelitian menunjukan bahwa perlakuan penambahan tepung daun kayu manis pada pakan dapat memengaruhi tingkat kinerja pertumbuhan ikan gurami (p<0,05). Penambahan 5 gr kg-1 tepung daun kayu manis pada pakan dapat meningkatkan jumlah konsumsi pakan, laju pertumbuhan spesifik, rasio efisisensi protein kinerja pertumbuhan ikan gurami., This study aims to evaluate the response of cinnamon leaves in feed to the growth performance response of gourami fish. The study used five treatments, namely the addition of cinnamon leaf flour as much as 0, 5, 10, 15 and 20 g kg-1 on commercial feed. Gourami with an average weight of 0.77 ± 0.01 g were kept in aquariums measuring 95 x 45 x 40 cm with a stocking density of 15 fish per aquarium for 60 days of maintenance. Gourami were fed at satiation with a frequency of feeding three times a day. The results showed that the treatment of adding cinnamon leaf flour to feed can affect the growth performance level of gourami (p<0.05). The addition of 5 g kg-1 cinnamon leaf flour in feed can increase the amount of feed consumption, specific growth rate, protein efficiency ratio of gourami growth performance.
Keyword: gurami, pakan, pertumbuhan, tepung daun kayu manis

Judul: Growth Performance of Gourami Fish Osphronemus goramy Supplemented with Insulin Leaf Flour Smallanthus sonchifolius on Feed
Abstrak: Pertumbuhan ikan gurame (Osphronemus goramy) yang lambat merupakan masalah bagi pembudidaya. Suplementasi tepung daun insulin (Smallanthus sonchifolius) berpotensi digunakan untuk meningkatkan kinerja pertumbuhan melalui peningkatan pemanfaatan karbohidrat pakan pada ikan gurame. Penelitian bertujuan memperoleh dosis terbaik penambahan daun insulin terhadap kinerja pertumbuhan ikan gurame. Penelitian menggunakan lima perlakuan yaitu penambahan daun insulin 0,0%, 0,5%, 1,0%, 1,5%, dan 2,0% dengan empat kali ulangan. Ikan dengan bobot 0,97±0,001 g dipelihara di akuarium ukuran 80x40x35 cm3 sebanyak 15 unit dengan padat tebar 15 ekor per akuarium. Pemeliharaan dilakukan selama 60 hari dengan metode pemberian pakan at-satiation. Hasil penelitian menunjukkan pemberian daun insulin 1,5% dapat meningkatkan bobot akhir, laju pertumbuhan spesifik, rasio konversi pakan dan rasio efisiensi protein. Kesimpulan penelitian ini yaitu suplementasi tepung daun insulin 1,5% pada pakan dapat meningkatkan kinerja pertumbuhan ikan gurame., Slow growth of gourami (Osphronemus goramy) is a problem for cultivators. Supplementation of insulin leaf flour (Smallanthus sonchifolius) has the potential to be used to improve growth performance through increased utilization of feed carbohydrates in gourami. The study aimed to obtain the best dose of insulin leaf flour on the growth performance of gourami. The study used five treatments, namely the addition of insulin leaves 0.0%, 0.5%, 1.0%, 1.5%, and 2.0% with four replications. Fish weighing 0.97 ± 0.001 g were reared in aquariums measuring 80x40x35 cm3 as many as 15 units with a stocking density of 15 fish per aquarium. Maintenance was carried out for 60 days with the at- satiation feeding method. The results showed that 1.5% insulin leaf flour supplementation could increase final weight, specific growth rate, feed conversion ratio and protein efficiency ratio. The conclusion of this study is that supplementation of 1.5% insulin leaves in feed can improve the growth performance of gourami.
Keyword: daun insulin, ikan gurame, pertumbuhan, gourami fish, growth, insulin leaf

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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