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: The Use of Black Soldier Fly Larva Flour (Hermetia illucens) in Feed on the Growth Performance of Common Carp (Cyprinus carpio)
Abstrak: Penelitian ini bertujuan mengevaluasi kinerja pertumbuhan ikan mas (Cyprinus carpio) dengan penggunaan tepung larva black soldier fly (BSF) dalam pakan. Penelitian ini dilakukan menggunakan rancangan acak lengkap, terdiri dari empat perlakuan dosis berbeda tepung BSF pada pakan masing-masing terdiri dari kontrol (tidak ada tambahan tepung BSF), 5% (pemberian tepung BSF 5% dari jumlah total pakan), 10% (pemberian BSF 10% dari jumlah total pakan), 15% (pemberian BSF 15% dari jumlah total pakan). Penelitian dilakukan selama 60 hari menggunakan akuarium berukuran 90x50x50 cm3 dengan padat tebar 15 ekor/wadah dan diberi pakan tiga kali sehari. Parameter kualitas air selama penelitian optimal untuk pertumbuhan ikan. Nilai bobot akhir, specific growh rate, konversi pakan dan kelangsungan hidup pada pemberian tepung BSF 5% tidak berbeda nyata dengan kontrol (p>0,05). Sementara itu, perlakuan tepung BSF lainnya memiliki kinerja pertumbuhan lebih rendah daripada kontrol. Dengan demikian, tepung BSF sebanyak 5% pada pakan dapat meningkatkan kinerja pertumbuhan ikan mas., This study aimed to evaluate the growth performance of common carp (Cyprinus carpio) using black soldier fly (BSF) larva flour in feed. The study was conducted using a completely randomized design with four different treatments of BSF flour doses in the feed. The treatments consisted of a control group (no addition of BSF flour), 5% BSF (BSF flour added at 5% of the total feed), 10% BSF (BSF flour added at 10% of the total feed), and 15% BSF (BSF flour added at 15% of the total feed). The study was conducted for 60 days using aquariums measuring 90x50x50 cm with a stocking density of 15 fish per container, and the fish were fed three times a day. The water quality parameters during the study were optimal for fish growth. The final weight and specific growth rate (SGR) values for the 5% BSF treatment were not significantly different from the control group, while the feed conversion ratio (FCR) and survival rate (SR) showed significant differences (p<0.05). The survival rate of the fish was 97.78, which was the same as the control group. The addition of 5% BSF flour in the feed improved the growth performance of common carp.
Keyword: BSF, cyprinus carpio, growth

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
Keyword: