Judul: Productivity of Earthworms (Lumbricus rubellus) in Mixed Media of Cow Manure and Chicken Manure with Different Levels
Abstrak: Cacing tanah atau jenis Lumbricus rubellus tergolong dalam kelompok avertebrata atau tidak bertulang belakang yang memiliki potensi dan banyak manfaat serta mudah dibudidayaka dengan menggunakan media kotoran ternak. Tujuan penelitian ini menganalisis produktivitas cacing tanah (Lumbricus rubellus) dalam media campuran kotoran sapi dan kotoran ayam dengan taraf yang berbeda. Penelitian ini menggunakan Rancangan Acak Lengkap (RAL) dengan 6 perlakuan dan 3 ulangan dengan uji lanjut Duncan. Media yang digunakan kotoran sapi dengan penambahan kotoran ayam IPB-D1 dengan taraf berbeda. Hasil penelitian menunjukkan penggunaan kotoran sapi dengan penambahan kotoran ayam IPB-D1 berpengaruh nyata (P<0,05) terhadap produktivitas cacing tanah. Penggunaan kotoran sapi sebanyak 95% dengan penambahan kotoran ayam sebanyak 5% berpengaruh nyata dan dapat meningkatkan jumlah populasi cacing tanah (Lumbricus rubellus) sebanyak 285,67 g dan penyusutan media sebesar 164,17 g. Penggunaan kotoran sapi sebanyak 85% dengan penambahan kotoran ayam sebanyak 15% dapat meningkatkan bobot cacing tanah sebesar 17,09 g dan produksi kokon sebanyak 155,58 butir. Pencampuran kotoran ayam pada kotoran sapi sebanyak ≤15% baik untuk produktivitas cacing Lumbricus rubellus, sebaliknya >15% menurunkan produktivitas cacing tanah., Earthworms or type Lumbricus rubellus belong to the group of invertebrates or not vertebrates that have the potential and many benefits and are easily cultivated using livestock manure media. The purpose of this study was to analyze the productivity of earthworms (Lumbricus rubellus) in mixed media of cow manure and chicken manure with different levels. This study used a complete randomized design (RAL) with 6 treatments and 3 replications with Duncan's further test. Media used cow manure with the addition of chicken manure IPB-D1 with different levels. The results showed the use of cow dung with chicken manure addition IPB-D1 significant effect (P<0.05) on productivity of earthworms. The use of cow manure as much as 95% with the addition of chicken manure as much as 5% effect and could increase population of earthworms (Lumbricus rubellus) as much as 285.67 g and shrinkage of the media by 164.17 g. The use of 85% cow manure with the addition of 15% chicken manure could increase the weight of earthworms by 17.09 g and cocoon production by 155.58 grains. The use of cow manure with the addition of chicken manure exceeds 15% could actually reduce the productivity of earthworms Lumbricus rubellus.
Keyword: cattle manure, chicken manure, Lumbricus rubellus, productivity

Judul: Productivity Performance of Earthworm (Lumbricus rubellus) on Cow Manure Media with the Addition of Cricket Manure
Abstrak: Cacing tanah sebagai salah satu fauna yang digunakan dalam indikator untuk mengukur kualitas dan kesuburan suatu tanah. Dalam pemeliharaan cacing tanah terdapat beberapa faktor yang mempengaruhi kehidupan cacing yaitu suhu, pH, kelembapan, kandungan nutrien dan tekstur media. Tujuan penelitian ini menganalisis produktivitas cacing tanah (Lumbricus rubellus) dalam media campuran kotoran sapi dan kotoran jangkrik. Penelitian ini menggunakan metode Rancangan Acak Lengkap (RAL) dengan 6 perlakuan dan 3 ulangan dengan uji lanjut tukey. Hasil penelitian menunjukkan penggunaan kotoran sapi sebanyak 90% dengan penambahan kotoran jangkrik 10% dengan pertambahan bobot rata-rata sebesar 17 gram, jumlah kokon rata-rata 94 butir, dan penyusutan media rata-rata 260,50 gram. Penggunaan kotoran sapi dengan penambahan kotoran jangkrik melebihi 10% dapat menurunkan produktivitas cacing tanah., Earthworms are among the fauna used as indicators of the quality and fertility of soil. In the maintenance of earthworms, there are several factors that influence their life, namely temperature, pH, humidity, nutrient content, and media texture. The study aims to analyze the productivity of earthworms (Lumbricus rubellus) in a mixture of cow dung and cricket dung. This study used a Completely Randomized Design (CRD) method with 6 treatments and 3 replications with Tukey's advanced test. The results showed that the use of cow dung was 90% with the addition of 10% cricket dung with an average weight increase of 17 grams, an average number of cocoons of 94, and an average media shrinkage of 260.50 grams. Using cow manure with the addition of cricket manure exceeding 10% can reduce earthworm productivity. The use of cow dung with the addition of cricket dung exceeding 10% can decrease the productivity of earthworms.
Keyword: cricket manure, cattle manure, Lumbricus rubellus, produktivity

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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