Judul: Acclimatization and field cultivation test of an in vitro propagated seaweed (Kappaphycus alvarezii Doty) seed in the sea
Abstrak: In traditional aquaculture, propagation seeds of seaweed are usually obtained through vegetative technique. Nowadays, in vitro technique is applicable to get high-grade seaweed seeds. This study aimed to determine the best medium for micropropagule and fertilizer effect on young plantlets of Kappaphycus alvarezii. This study also performed to compare growth of seaweeds between vegetative and in vitro technique. The results showed that seawater medium with 20 ml l-1 provasoli enriched seawater fertilizer showed significant specific growth rate (4.65%) over three other medium treatment during culture in laboratory. However, during culture in greenhouse, seawater medium with 5 ml l-1 PES and 1.2 mg l-1 Growmore, a commercial fertilizer showed significant over two other medium treatment. In the last study, seaweeds from provasoli enriched seawater fertilizer treatment during acclimatization showed the highest growth (108,00 g) compared to the others when cultured in the sea. However, cultivation seaweeds from in vitro technique has better growth than vegetative technique.
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Judul: Optimasi media kultur untuk induksi kalus dengan penambahan zat perangsang tumbuh pada kultur jaringan rumput laut Kappaphycus alvarezii (Doty)
Abstrak: The problem of seaweed seed quality deterioration that come from nature has become a major problem in seaweed farming. This can be handled by several techniques and one of them is tissue culture. The success of tissue culture to produce seeds through callus induction can not be separated from culture medium and plant growth regulator (PGR). In this study, we performed several combinations of plant growth regulator on two basic medium to get the best combination in callus induction. The combination of plant growth regulator BAP+IAA in Conway (CW) and Provasoli Enriched Seawater (PES) basic medium did not give the significant effect on the growth of callus. While in the PES medium, combination of plant growth regulator BAP+NAA gave the significant effect on the growth of callus but not in CW medium. The results of this study indicated that the concentration of BAP 1 mg / ℓand NAA 0 mg / ℓin PES medium was the best for callus growth.
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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