Judul: The Adding Cinnamaldehyde on Feed for Growth Performance of Carp (Cyprinus carpio).
Abstrak: Sinamaldehid merupakan polifenol hasil metabolit sekunder tanaman kayu manis yang berperan dalam metabolisme karbohidrat dan menghambat deposit lemak sehingga performa pertumbuhan dapat meningkat. Penelitian bertujuan menganalisis pengaruh penambahan sinamaldehid berbeda dosis pada pakan terhadap performa pertumbuhan ikan mas (Cyprinus carpio). Penelitian terdiri dari lima perlakuan dengan tiga kali ulangan pada setiap perlakuan. Dosis sinamaldehid yang digunakan pada penelitian ini yaitu 0 g kg-1, 0,5 g kg-1, 1 g kg-1, 1,5 g kg-1, dan 2 g kg-1. Ikan mas ukuran 8,82 ± 0,02 g dipelihara pada waring berukuran 100 x 100 x 200 cm3. Setiap waring diisi dua puluh ekor ikan mas (20 ekor/m2) dan diberi pakan perlakuan dua kali sehari secara at satiation selama 60 hari. Hasil penelitian menunjukkan bahwa pertumbuhan, efisiensi pakan, rasio efisiensi protein dan konversi pakan ikan mas yang diberi perlakuan sinamaldehid lebih baik dan berbeda nyata dibandingkan pakan tanpa penambahan sinamaldehid (P<0,05)., Cinnamaldehyde is a polyfenol from secondary metabolism of cinamon tree that functioned in carbohydrates metabolism and inhibit fat deposition that increase growth performance of carp (Cyprinus carpio). This research aim to analyze the impact of adding cinnamaldehyde with different dose on feed for growth performance of carp (Cyprinus carpio). This research contain five treatment with three replication on each treatment. The doses of cinnamaldehyde that used on this research is 0 g kg-1, 0,5 g kg-1, 1 g kg-1, 1,5 g kg-1, dan 2 g kg-1. Carp sized 8,82 ± 0,02 g were kept on dragnet sized 100 x 100 x 200 cm3. Each net filled with twenty carp (20 carp/m2) and get feeding two times a day in at satiation method for 60 days. The result of this research show’s that carp given by cinnamaldehyde treatment’s better and significantly different compared feed without cinnamaldehyde (P<0,05).
Keyword: ikan mas, Pertumbuhan, sinamaldehid

Judul: The Adding Cinnamaldehyde to Commercial Feed on Growth Performance of Vannamei Shrimp Litopenaeus vannamei
Abstrak: Sinamaldehid merupakan kandungan utama pada minyak atsiri kayu manis yang memiliki kemampuan dapat meningkatkan pemanfaatan sumber energi pakan sehingga kinerja pertumbuhan ikan lebih efisien. Penelitian ini bertujuan mendapatkan dosis efektif penambahan sinamaldehid pada pakan untuk meningkatkan kinerja pertumbuhan udang vaname (Litopenaeus vannamei). Penelitian terdiri dari lima perlakuan berbeda dengan empat kali ulangan pada setiap perlakuan. Dosis sinamaldehid yang digunakan pada penelitian ini yaitu 0 ml/kg, 0,5 ml/kg, 1 ml/kg, 1,5 ml/kg, dan 2 ml/kg. Udang vaname ukuran 2,06 ± 0,02 g dipelihara pada akuarium 60 x 40 x 40 cm3 dengan ketinggian air 30 cm. Setiap akuarium diisi 15 ekor udang (60 ekor/m2 ) dan diberi pakan perlakuan empat kali sehari secara restricted selama 60 hari. Hasil penelitian menunjukkan bahwa pertumbuhan, efisiensi pakan, rasio efisiensi protein dan konversi pakan udang vaname yang diberi perlakuan sinamaldehid lebih baik dan berbeda nyata dibandingkan SN 0 (P<0,05). Nilai kinerja pertumbuhan tertinggi didapatkan pada udang vaname yang diberi pakan dengan penambahan dosis sinamaldehid 1,5 ml/kg (P<0,05)., Cinnamaldehyde is the main ingredient in cinnamon essential oil which has the ability to increase the utilization of feed energy sources so that fish growth performance is more efficient. This study was intended to get the effective dose of cinnamaldehyde addition to feed to improve the growth performance of vaname shrimp (Litopenaeus vannamei). The study consisted of five different treatments with four replications in each treatment. The doses of cinnamaldehyde used in this study were 0 ml/kg, 0,5 ml/kg, 1 ml/kg, 1,5 ml/kg, and 2 ml/kg. Vaname shrimp size 2.06 ± 0.02 g were kept in 60 x 40 x 40 cm3 aquarium with a water level of 30 cm. Each aquarium was filled with 15 shrimps (60 shrimps/m2 ) and fed the treatments four times a day restricted for 60 days. The results showed that the growth, feed efficiency, protein efficiency ratio and feed conversion of vaname shrimp treated with cinnamaldehyde were better and significantly different from SN 0 (P < 0.05). The highest growth performance value was obtained in vaname shrimp fed with the addition of 1,5 ml/kg cinnamaldehyde dose (P < 0.05).
Keyword: cinnamaldehyde, growth, vaname shrimp

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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