Judul: Aplikasi Bakteri dalam Perlakuan Seed Coating untuk Mempertahankan Viabilitas dari Benih Cabai (Capsicum annuum L.) yang Sehat
Abstrak: This research was conducted to study the effect of seed coating using Bacillus subtilis, Pseudomonas group fluorescens and Serratia marcescens toward the viability of undiseased chilli seed (Capsicum annuum L.) during storage. This study used nested design with three replications. The main plot is storage period (0, 3, 6, 9, 12, 15, 18, 21 and 24 weeks) and the subplot is seed coating treatment with bacteria (Bacillus subtilis, Pseudomonas group fluorescens, Serratia marcescens and control). Chilli seed IPB C5 still have a good viability until 24 weeks, showed from the percentage of germination that is 77.3%. Control and coating used bacteria treatment showed unsignificant difference on germination, vigour index, growth rate and normal seedling dry weight. The bacteria as coater were still alive until 24 weeks of storage periode with population 5.89 x 104 cfu g-1 for Pseudomonas group fluorescens, 4.79 x 104 cfu g-1 for Bacillus subtilis and 1.70 x 104 cfu g-1 for Serratia marcescens.
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Judul: Aplikasi Bakteri Probiotik untuk Meningkatkan Vigor Bibit Cabai (Capsicum annuum L.)
Abstrak: Chilli (Capsicum annuum L.) is an important horticultural commodities in Indonesia and has high economic value. This research aims to study the effects of spraying with Serratia marcescens, Pseudomonas group of fluorescens, and Bacillus subtilis to improve vigor of chilli seedling. The seed that use is coated seed with the same bacteria and have been storaged for 6, 9, 12, 15 and 18 weeks. Spray application with bacteria and Luria-Bertani media is done when the seedling was 2 and 4 weeks. Coating seed using Serratia marcescens produce the best vigor seed in the period of 6, 12, and 15th weeks. The best application to increase growth of chilli seedling derived from seeds that have been storaged is using Pseudomonas group of fluorescens with application on seed coating and spraying chilli seedling.
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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