Judul: In vitro Shoot Proliferation Induction and Pitcher Formation of Nepenthes mirabilis in Three Basal Medium Compositions and Benzyl Adenine (BA) Concentration
Abstrak: Nepenthes mirabilis merupakan tumbuhan langka yang termasuk kedalam kelompok Appendix II pada CITES. Perbanyakan Nepenthes dengan biji sulit dilakukan karena daya kecambah yang rendah, sehingga perlu dilakukan perbanyakan secara in vitro untuk mempersingkat waktu, meningkatkan persentase keberhasilan perbanyakan, dan memperoleh bibit kualitas terbaik. Penelitian ini bertujuan mempelajari daya proliferasi tunas, pembentukan kantong, dan planlet N. mirabilis pada tiga komposisi media dasar dan empat taraf konsentrasi BA secara in vitro. Percobaan ini disusun menggunakan Rancangan Kelompok Lengkap Teracak (RKLT) faktorial 2 faktor dengan bahan tanam berupa buku tunas aksilar N. mirabilis in vitro. Faktor pertama adalah komposisi media: Murashige and Skong (MS), Schenk and Hildebrandt (SH), dan Knudson C (KC) dengan setengah konsentrasi hara makro dan mikro. Faktor kedua adalah konsentrasi BA (Benzyl Adenin): 0, 1, 2, 3 mgL-1. Seluruh media perlakuan ditambahkan 0,2 mgL-1 NAA dan 2,0 mgL-1 CaP. Hasil penelitian menunjukan bahwa interaksi komposisi media dengan konsentrasi BA tidak berpengaruh nyata terhadap daya regenerasi dan proliferasi tunas, pembentukan kantong, serta pembentukan planlet N. mirabilis selama 8 MSK. Perlakuan tunggal komposisi media juga tidak berpengaruh nyata terhadap ketiga variabel tersebut. Perlakuan tunggal konsentrasi BA berpengaruh nyata terhadap rata-rata jumlah planlet pada minggu ke 8 yaitu pada sitokinin BA 1 mgL-1. Komposisi media yang optimum untuk menginduksi pembentukan planlet N. mirabilis adalah media ½ MS + 1 mgL-1 BA dengan total jumlah 22 planlet selama 8 MSK., Nepenthes mirabilis is a rare plants that include in the Appendix II lists species from CITES. Propagation of Nepenthes by seed is difficult to do because of the low percentage of germination, so in vitro propagation is carry out to shortened the propagation time, increase the percentage of successful propagation, and produce Nepenthes planlets with good quality. The aims of this research was to study the shoot proliferation ability of N. mirabilis in three basal medium compositions and four levels of BA concentration in vitro. This experiment was designed using a Factorial Randomized Complete Blok Design with two factors. The first factor is the medium composition: Murashige and Skoong (MS), Schenk and Hildebrandt (SH), and Knudson C (KC) with a half of macro and micronutrients concentration. The second factor is the concentration of BA: 0, 1, 2, 3 mgL-1. All of the treatment media were added by 0,2 mgL-1 NAA and 2,0 mgL-1 CaP. The experimental result showed that the interaction of medium composition and BA concentration doesn’t give a significantly effect in shoot proliferation, pitcher, and plantlets formation until 8 weeks after cultivation. The single treatment of medium composition also doesn’t give the significantly effect on that three variables. The single factor of BA concentration give the significantly effect on average number of plantlets in week 8 using BA 1 mgL-1. The optimum media composition to induce the in vitro planlet formation of Nepenthes mirabilis is ½ MS + 1 mgL-1 BA media that produced 22 planlets in 8 weeks.
Keyword: pitcher plant, Murashige and Skoog, Schenk and Hildebrandt, Knudson C, cytokinin

Judul: Induksi Kantong dengan Perlakuan Berbagai Konsentrasi Media Murashige & Skoog pada Beberapa Ukuran Eksplan Kantong Semar (Nepenthes gracilis Korth.) secara In Vitro
Abstrak: Nepenthes is a plant species which is classified as a unique ornamental plant that has the capability of adaptation to environments with poor nutrients by forming pitcher (Mansur 2007). Nepenthes gracilis is an example of Nepenthes species with high capability of adaptation. Nepenthes have benefits as medicinal and unique ornamental plant. This uniqueness lies in the pitcher which is a modification of the center part of the leaf. Pitcher as the most widely used part is a form of adaptation by Nepenthes, and it is not yet known for certain how the induction of the formation of a pitcher. Therefore, the research to know the response of pitcher formation in various concentrations of Murashige & Skoog medium on multiple size of N. gracilis Korth explants is needed. The aim of this research is to study the response of pitcher formation on various concentration of Murashige & Skoog medium on multiple size of N. gracilis Korth explants. This research was conducted on June until December 2012 at the Tissue Culture Laboratory, Center for Plant Conservation, Bogor Botanical Garden. The treatment in this study is the concentration of MS basic medium and explant size. The concentration of MS basic medium which is used are 1/2MS, 1/4MS, 1/8MS, 1/16MS and 1/32MS. The explant size of N. gracilis are < 2 cm, 2-4 cm and > 4 cm. Routine observations was done for 12 MSP and visual observations was done until December 2012. Parameter measurement which is observed every week are plant height, number of leaves and number of pitcher. Parameter measurement which is observed at the end of observation are the color of the leaf, the color of the pitcher, and the percentage of living and pitched planlet. The result shows that the concentration of MS basic medium and explant size influenced the number of leaves, explant height, and the number of pitcher. The concentration of 1/2MS and 1/4MS with the explant size < 2 cm, and 1/8MS with explant size 2-4 cm are treatments that gave the best influence on the formation of pitchers. Those treatments shows the average of the highest pitcher formation which is 3,00 to 3,50 pitchers.
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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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