Judul: Utilization of black soldier fly larvae (Hermetia illucens) as a source of feed ingredients for whiteleg shrimp  (Litopenaeus vannamei).
Abstrak: This study is aimed to analyze the growth of whiteleg shrimp (Litopenaeus vannamei) which is fed is with various doses of BSF black soldier fly (Hermetia illucens) meal and the combination of BSF meal and BSF oil. The dietary treatments that were used in this study which are K (feed without the substitution of BSF), B (feed with 8% BSF), B+ (feed with BSF 8% + 2% BSF oil). Whiteleg shrimp with a density of 210 shrimp per square meter were kept in a round HDPE ponds with a diameter of 20 meters with a water depth of 120 cm for 83 days. Shrimp is fed five times a day with the aid of shrimp feed scale index. Water quality management is done with the process of siphoning and water exchange to make sure the water quality is optimum for the growth of whiteleg shrimp. The result of this study shows that growth performance such as final biomass, final average body weight, survival rate, average daily gain, and feed conversion ratio that the (K) control feed gives the best result for whiteleg shrimp., Penelitian ini bertujuan menganalisis pertumbuhan udang vaname (Litopenaeus vannamei) yang diberi pakan mengandung tepung larva black soldier fly (BSF) (Hermetia illucens) dan kombinasi tepung larva BSF dan minyak BSF. Terdapat tiga perlakuan tanpa pengulangan, yaitu K (pakan tanpa BSF), B (pakan dengan BSF 8%), serta B+ (pakan dengan BSF 8% + minyak BSF 2%). Udang vaname dengan kepadatan 210 ekor/m2 dipelihara dalam kolam bulat HDPE berdiameter 20 m dengan kedalaman air 120 cm selama 83 hari. Udang diberi pakan lima kali sehari dengan perhitungan skala indeks pakan udang. Pengelolaan kualitas air dengan cara penyiponan dan penggantian air untuk memastikan nilai-nilai kualitas air optimum untuk pertumbuhan udang vaname. Hasil penelitian menunjukkan bahwa parameter kinerja pertumbuhan meliputi biomassa akhir, bobot individu akhir, tingkat kelangsungan hidup, rataan pertumbuhan harian, dan rasio konversi pakan (RKP) udang vaname yang diberi pakan kontrol menunjukkan hasil terbaik.
Keyword: Black Soldier Fly, BSF, Growth, Hermetia illucens, Litopenaeus vannamei

Judul: Production Performance of Whiteleg Shrimp  (Litopenaeus vannamei) Field Scale given Different Feed Additives
Abstrak: Salah satu upaya yang dapat dilakukan untuk meningkatkan fungsi pakan adalah dengan suplementasi bahan tambahan pakan (feed additive) yang memiliki berbagai fungsi baik dalam hal peningkatan kinerja pertumbuhan maupun kesehatan. Penelitian ini bertujuan mengevaluasi pengaruh penambahan feed additive yang berbeda terhadap performa pertumbuhan, gambaran darah, dan efisiensi biaya pakan udang vaname Litopenaeus vannamei yang dibudidayakan pada tambak intensif. Penelitian ini menggunakan dua perlakuan dengan tiga kali ulangan, yaitu feed additive 1 (FA1) dan feed additive 2 (FA2). Perlakuan FA1 merupakan perlakuan dengan penggunaan feed additive alternatif yang menggantikan semua feed additive yang digunakan pada perlakuan FA2. Penelitian ini dilakukan pada tambak intensif dengan luas kolam 2500 m2 dengan padat tebar 125 ekor/m2 selama 86 hari. Nilai total haemocyte count (THC) menunjukkan adanya perbedaan yang signifikan (p<0,05) antar kedua perlakuan. Nilai bobot akhir udang pada perlakuan FA1 dan FA2 adalah sebesar 21,65 g dan 20,85 g, dengan pertumbuhan spesifik masing-masing sebesar 9,07 %/hari dan 9,03 %/hari, serta rasio konversi pakan masing-masing sebesar 1,38 dan 1,42. Tingkat kelangsungan hidup perlakuan FA1 memiliki nilai 67,08% sedangkan perlakuan FA2 60,67%, dengan nilai produktivitas pada perlakuan FA1 sebesar 1,57 kg/m2 dan FA2 sebesar 1,33 kg/m2. Udang yang diberi pakan dengan suplementasi feed additive FA1 menunjukkan kinerja pertumbuhan yang tidak berbeda nyata dengan perlakuan FA2, namun dengan biaya feed additive dua kali lebih rendah. Berdasarkan hasil penelitian ini dapat disimpulkan bahwa aplikasi feed additive FA1 dapat diterapkan sebagai alternatif berbagai feed additive yang diberikan pada perlakuan FA2 pada skala lapangan budidaya udang vaname., One of the efforts that can be made to improve the function of feed is by supplementing feed additives which have various functions, both in terms of increasing growth and health performance. This study aims to evaluate the effect of adding different feed additives to growth performance, blood count, and feed cost efficiency of whiteleg shrimp Litopenaeus vannamei cultured in intensive ponds. This study used two treatments with three replications, namely feed additive 1 (FA1) and feed additive 2 (FA2). FA1 treatment is a treatment with the use of alternative feed additives that replace all feed additives used in FA2 treatment. This research was conducted in intensive ponds with a pond area of 2500 m2 with a stocking density of 125 fish/m2 for 86 days. The value of total haemocyte count (THC) showed a significant difference (p<0.05) between the two treatments. The final weight values of shrimp in FA1 and FA2 treatments were 21.65 g and 20.85 g, with specific growths of 9.07%/day and 9.03%/day, respectively, and feed conversion ratios of respectively. 1.38 and 1.42. The survival rate of FA1 treatment had a value of 67.08% while FA2 treatment was 60.67%, with a productivity value of 1.57 kg/m2 for FA1 treatment and 1.33 kg/m2 for FA2. Shrimp fed with FA1 feed additive supplementation showed growth performance that was not significantly different from FA2 treatment, but with twice the cost of the feed additive. Based on the results of this study, it can be concluded that the application of FA1 feed additives can be applied as an alternative to various feed additives given to the FA2
Keyword: Feed additive, growth, productivity, whiteleg 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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