Judul: Survival Rate of Common Carp (Cyprinus carpio) with  Freezing Treatment and Cold Water Flow
Abstrak: Kurangnya asupan oksigen selama proses transportasi ikan akan menyebabkan ikan stress dan meningkatkan kematian ikan. Penelitian ini bertujuan menentukan lama waktu pembekuan dan lama waktu penyimpanan ikan dalam air dingin beraerasi yang terbaik pada ikan mas hidup yang dipingsankan, menentukan debit aliran air dingin yang terbaik, kualitas air dingin, serta pengamatan insang ikan mas. Penelitian ini menggunakan bahan anestesi minyak cengkih dengan konsentrasi 125 ppm untuk memingsankan ikan dan zat anti beku gliserol dengan konsentrasi 5% untuk selanjutnya tahap pembekuan pada waktu 90 menit, 120 menit, dan 150 menit dan waktu penyimpanan dalam air dingin beraerasi selama 30 menit, 60 menit, 90 menit, 120 menit, dan 150 menit. Nilai survival rate ikan mas setelah perlakuan pembekuan dan penyimpanan dalam air dingin beraerasi berkisar antara 55-100%. Pemberian debit aliran air dingin dengan suhu 10°C dengan debit 0 L/detik, 0,5 L/detik, dan 1,1 L/detik. Waktu pembekuan dan penyimpanan dalam air dingin beraerasi yang terbaik yaitu selama 150 menit. Debit aliran terbaik didapatkan pada debit 0,5 L/detik dengan survival rate 88,9%. Kualitas air pembugaran ikan mas dipengaruhi oleh debit aliran air yang digunakan., Lack of oxygen intake during the fish transportation process will cause fish stress and increase fish mortality. This study aims to determine the best freezing time and storage time of fish in cold aerated water in stunned live carp, as well as the best cold water flow rate, cold water quality, and observation of carp gills. This study used clove oil anesthetic with a concentration of 125 ppm to stun fish and antifreeze glycerol with a concentration of 5% for further freezing stages at 90 minutes, 120 minutes, and 150 minutes and storage time in aerated cold water for 30 minutes, 60 minutes, 90 minutes, 120 minutes, and 150 minutes. The survival rate of goldfish after freezing treatment and storage in aerated cold water ranged from 55-100%. Provision of cold water flow with a temperature of 10°C with a discharge of 0 L/second, 0.5 L/second, and 1.1 L/second. The best freezing time and storage in aerated cold water is 150 minutes. The best flow rate was found at 0.5 L/second with a survival rate of 88.9%. The quality of goldfish refining water is influenced by the flow rate of the water used.
Keyword: debit, gliserol, minyak cengkih, pembekuan, survival rate, clove oil, debit, freezing, glycerol, survival rate

Judul: Effect of Glycerol Injection and Freezing Time on the Survival Rate of Carp (Cyprinus carpio)
Abstrak: Proses transportasi ikan hidup yang kurang tepat menyebabkan ikan mengalami stres, atau bahkan ikan mengalami kematian. Penelitian ini bertujuan menentukan pengaruh gliserol yang diinjeksikan ke dalam tubuh ikan dan lama waktu pembekuan terhadap tingkah laku, kondisi insang dan mata, nilai survival rate, dan kadar glukosa darah ikan mas (Cyprinus carpio). Penelitian ini menggunakan bahan anestesi alami untuk pemingsanan ikan, yaitu minyak cengkeh dengan konsentrasi 125 ppm yang memiliki rata-rata waktu menjelang pingsan yaitu 3.05 menit, dilanjutkan dengan injeksi volume gliserol 0.5 mL, 0.75 mL, dan 1 mL. Gliserol yang diinjeksikan dan lama waktu pembekuan berpengaruh nyata terhadap survival rate dan glukosa darah ikan mas. Penelitian utama menggunakan volume gliserol terbaik 0.75 mL pada ikan yang dibekukan selama 120 menit dengan nilai survival rate yaitu 100% dan waktu beku 150 menit yaitu 77.78%. Kadar glukosa darah ikan mas yang diberi gliserol setelah pembekuan 120 menit, yaitu 121.44 mg/dL dan pembekuan 150 menit, yaitu 151.67 mg/dL., An improper transportation of a live fish causes fish to get stress, or even a death. The objective of this study was to determine the effect of glycerol injected into the fish body and the length of freezing time on behavior, gill and eye conditions, survival rate, and blood glucose levels of carp (Cyprinus carpio). This study used natural anesthetics for stunning fish, specifically clove oil with a concentration of 125 ppm which has an average fainting time of 3.05 minutes, followed by injection of 0.5 mL volume of glycerol 0.75 mL, and 1 mL. The injected glycerol and the length of freezing time significantly affected the survival rate and blood glucose of a carp. The main study used the best glycerol volume of 0.75 mL in fish frozen for 120 minutes with a survival rate of 100% and a freezing time of 150 minutes, which was 77.78%. The blood glucose level of carp that was given glycerol after freezing for 120 minutes was 121.44 mg/dL and for 150 minutes was 151.67 mg/dL.
Keyword: Clove oil, fitness, glycerol, stunning

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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