Judul: Pertumbuhan Vegetatif dan Reproduktif Tanaman Padi dan Jagung pada Berbagai Dosis dan Waktu Aplikasi Pupuk Hayati
Abstrak: The objectives of this research was to find the best dosages and application time of biofertillizer in improving rice (Oryza sativa) and maize (Zea mays) growth and production. This research consisted of two experiments, i.e. dosages and application time experiment. Each experiment was carried out in the green house by Completely Randomize Design with three replications. The dosages experiment consisted of 4 treatments, P0 without biofertillizer, P1-P3 with biofertillizer of 50 g, 100 g, and 150 g per polybag. All the media were prepared using a mixed soil and compost ((5:1) v/v) and anorganic fertillizer of NPK (15:15:15) 8,75 g per polybag. Application time experiment consisted of 3 treatments, H0: 0 day after planting, H1: 4 days after planting, and H2: 14 days after planting. The biofertillizer with the dosages of 150 g per polybag showed the best result indicated by growth and yield parameters. The best time of application was 14 days after planting which indicated by the higher growth parameters and seed yield of rice and maize.
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Judul: Budidaya Padi Organik dengan Berbagai Waktu Aplikasi Pupuk Kandang dan Pemberian Pupuk Hayati
Abstrak: The experiment was conducted at Cikarawang, Dramaga, Bogor from November 2012 to March 2013. This study aims to determine the most appropriate time in manure application and the effect of bio-fertilizer. This experiment used the split plot experimental design with two factors and 4 replications. The first factor was time of chicken manure application with 4 treatments i.e. application of 10 ton chicken manure / ha applied 2 weeks before planting, 10 ton/ha applied 4 weeks after planting, 10 ton/ha applied 6 weeks after planting, 5 ton/ha applied 2 weeks before planting and 5 ton/ha 4 weeks after planting. The second factor was the application of bio-fertilizer (with and without bio-fertilizer). There were 32 experimental units. The highest rice yield (5.04 ton dry grains/ha) was found from the application of 5 ton chicken manure / ha 2 weeks before planting and 5 ton/ha 4 weeks after planting with additional of bio-fertilizer.
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Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix