Judul: Efektivitas ekstrak batang Pisang Ambon Musa paradisiaca untuk pengendalian infeksi Saprolegnia sp. pada larva Ikan Gurame Osphronemus gouramy
Abstrak: Fase larva ikan gurame merupakan masa kritis terhadap infeksi cendawan, seperti cendawan jenis Saprolegnia sp. Beberapa tanaman memiliki daya antiseptik seperti tanaman pisang ambon. Penelitian ini bertujuan untuk menguji efektivitas ekstrak batang pisang ambon (Musa paradisiaca) dalam mengurangi infeksi Saprolegnia sp. pada larva ikan gurame (Osphronemus gouramy) melalui media pemeliharaan. Larva gurame umur 8 hari (panjang larva 0,5+0,03 cm) dipelihara pada akuarium berukuran 25x25x25 cm dengan padat tebar 8 ekor/L. Media pemeliharaan diberi ekstrak batang pisang ambon dosis 0; 0,08; 0,12 dan 0,16 g/L selama 25 hari. Uji tantang dilakukan selama 14 hari dengan pemberian spora Saprolegnia sp. kepadatan 104 sel/mL dan tetap diberi ekstrak batang pisang ambon selama masa uji tantang berlangsung. Perlakuan dosis 0,16 g/L memberikan kelangsungan hidup sebesar 100% yang lebih tinggi dibandingkan perlakuan kontrol positif setelah uji tantang., Larvae stage of giant gouramy is a critical period due to fungal infection, like Saprolegnia sp infection. There are some plants have antiseptic compound like banana (Musa paradisiaca). This research aims to examine the effectiveness of the banana stem extract (Musa paradisiaca) to reduce the infection of Saprolegnia sp. on giant gouramy larvae through immersion. Eight-day old gouramy larvae (0.5±0.03 cm length) were reared in an aquarium measuring 25x25x25 cm with density 8 fry/L. Rearing media were given banana stem extract 0; 0,08; 0,12; and 0,16 g/L doses during 25 days. Challenge test performed during 14 days which infection of Saprolegnia sp. with spore density 104 cells/mL given and still given banana stem extract during chalange test. The treatment dose of 4% gives 100% survival at the higher compared positive control after the challenge test.
Keyword: Osphronemus gouramy, Musa paradisiaca, Saprolegnia sp., larva

Judul: Pemberian Ekstrak Batang Pisang Ambon (Musa paradisiaca) pada Media Pemeliharaan untuk Meningkatkan Kelangsungan Hidup Larva Ikan Gurame (Osphronemus goramy)
Abstrak: Larva phase is a critical period in the life cycle of the fish so that mortality is very high in this phase. The sap of stem banana contains tannins, saponins and flavonoids that used as antiseptic. The purpose of this study was to determine the dose of extract stem of banana (Musa paradisiaca) to increase survival rate fry of Giant Gouramy (Osphronemus gouramy) in rearing media. Seven-day old larvae Giant Gouramy (0.75+0.05 cm length) were reared in an aquarium 50 x 30 x 25 cm with density 5 fry/l. The doses of extract 0; 0.04; 0.08 and 0.12 g/l treatment were reared for 29 days. Dose of 0,12 g/l showed the highest survival of 93.3%, it was significantly higher (p<0,05) than the other doses (0; 0.04 and 0.08 g/l doses were 17.8%, 21.9% and 24.4%, respectively). During the maintenance, gaint gouramy were acquired disease caused by the fungi Aphanomyces sp. In the extract stem of banana with dose 0.12 g/l could increase survival of Giant Gouramy fry.
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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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