Judul: Dryopteris irregularis Presl
Abstrak: Keanekaragaman hayati hutan tropika Indonesia merupakan sumber senyawa metabolit sekunder berpotensi yang tak ternilai jumlah dan jenisnya. Tumbuhan pakll Ihnat (Dlyopleris irregularis Pres I) term8suk dalam jenis tumbuhan paku yang penyebaran tumbuhnya luas dan berdasarkan infonnasi elnobotani sering digunakan untuk obat sakit perut, sakit panas, dan penyakit kulit.
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Judul: Dominasi tumbuhan bawah liar yang berperan sebagi tumbuhan obat di Taman Nasional Gunung Gede Pangrango seksi Bogor
Abstrak: Konservasi kawasan alam Bodogol merupakan hutan hujan tropis yang terletak di sebelah barat Gunung Gede Pangrango, Jawa Barat, pada ketinggian kurang lebih 800 meter di atas permukaan Laut (m dpl). Kawasan Bodogol terdapat tiga jalur lintasan, yaitu jalur bendungan (600-700 m dpl), Jalur kanopi (700-800 m dpl) dan jalur air terjun (800 - 900 m dpl). Pada jalur bendungan, tumbuhan bawah liar yang berperan sebagai tumbuhan obat di bawah naungan pohon rasamala terdapat 17 spesies yang didominasi oleh paku rane (Selaginella wildenowii Baker) dengan Indeks Nilai Penting (INP) 114.6 %, sedangkan di bawah naungan pohon puspa terdapat 11 spesies yang didominasi oleh harendong bulu (Clidemia hirta (L.) D.Don) dengan INP 131.1 %. Pada jalur kanopi tumbuhan bawah liar yang berperan sebagai tumbuhan obat di bawah naungan pohon rasamala terdapat 12 spesies didominasi oleh harendong bulu (Clidemia hirtu (L.) D.Don) dengan INP 128.5 %, sedangkan di bawah naungan pohon puspa terdapat 12 spesies didominasi oleh harendong bulu (Clidemia hirta (L.) D.Don) dengan INP 122.2 %. Pada jalur air terjun tumbuhan bawah liar yang berperan sebagai tumbuhan obat di bawah naungan pohon rasamala terdapat 19 spesies yang didominasi oleh paku rane (Selaginella wildenowii Baker) dengan INP 96.7 %, sedangkan di bawah naungan pohon puspa terdapat 21 spesies yang didominasi oleh paku rane (Selaginella wildenowii Baker) dengan INP 84.6%. Berdasarkan hasil analisis vegetasi yang dilakukan pada ketiga jalur tersebut diperoleh inventarisasi tumbuhan bawah liar yang berperan sebagai tumbuhan obat sebanyak 35 jenis. Hasil analisis ekologis secara keseluruhan didapatkan tumbuhan dominan yaitu paku rane (Selaginella wildenowil Baker) dan tumbuhan kodominan yaitu harendong bulu (Clidemia hirta (L.) D.Don). Untuk nilai keanekaragaman jenisnya berdasarkan indeks Shanon (H) sebesar 1,23.
Keyword: Medicinal Plant, Clidemia hirta (L.) D.Don, Clidemia hirta (L.) D.Don

Judul: The Construction of Greedy SVP LLL Algorithm
Abstrak: A lattice is a set of all integer linear combination of a set of linearly independent vectors in ℝ𝑛���. The independent vectors are called bases of lattice. Any lattice can be generated from many bases, and these bases have the same cardinality. In the lattice, the most fundamental and renowned problem is the Shortest Vector Problem (SVP). SVP is a tracking problem of the shortest nonzero vector in a lattice with equivalent bases. In two dimensions, SVP problem has resolved exactly by Gauss’ algorithm. When the lattice dimension is higher than two, A.K. Lenstra, H.W. Lenstra and L. Lovasz gave a LLL algorithm to compute approximation of nonzero shortest vector in the lattice. Reduced bases solution obtained from LLL algorithm still be an approximation and has polynomial running time of arbitrary dimension which large enough. In 1994, Schnoor and Euchner modified this LLL algorithm as a new variant which later was named deep insertion LLL algorithm. This algorithm is a modified version of the LLL algorithm to the terms of the exchange step to improve the accuracy of output of LLL reduced bases and applying it to the subset sum problem. The purpose of this research are: (1) Reconstruct the LLL algorithm and deep insertion LLL algorithm using a geometric approach. (2) Construct a greedy SVP LLL algorithm. (3) Implement the three algorithms in a symbolic programming language, and evaluate them experimentally. A bases ℬ=[𝐛���1,𝐛���2,…,𝐛���𝑛���] in ℝ𝑚��� is called reduced LLL with parameter 𝛿��� if satisfies: (a) |𝜇���𝑗���𝑖���|≤12, for every integer 𝑖���,𝑗��� with 1≤𝑖���<𝑗���<𝑛���. (b)𝛿���‖𝜋���𝑗���(𝐛���𝑗���)‖2≤‖𝜋���𝑗���(𝐛���𝑗���+1)‖2, for 𝑗���=1,2,…,𝑛���−1,where 𝛿��� is a reduced parameter of real numbers with 14<𝛿���<1. The first requirement is the reduced basis 𝛿��� must “nearly orthogonal” and in its computation case, this requirement can be reached out by using the Gram-Schmidt’s orthogonalization. While the second requirement is called exchange step, or used to called as Lovasz condition. By using both of these requirements, then they establish the LLL algorithm. Then, Schnoor and Euchner modify the LLL algorithm based on the requirements of the exchange step called the deep insertion LLL algorithm, where the exchange step is based on the comparison of the projected vector in orthogonal complement [𝐛���1,𝐛���2,…,𝐛���𝑘���−1]⊥ after j-th reduction. To construct greedy SVP LLL algorithm, the requirements of the exchange step is based on purely by comparing norm of lattice 𝐛���𝑗��� with norm lattice 𝐛���𝑖��� for 𝑖���=1,2,3…,𝑗���−1. The process of insertion reduced vector after the exchange step also has done greedily. Then, we calculate the number of arithmetic operation in greedy SVP LLL algorithm for further analysis. The result of our exprimentation for three algorithms on the certain matrix size shows that the running time of the three algorithms increases propotional to the size of the matrix. The result also shows that by using 𝛿���=34 for the LLL algorithm and the deep insertion LLL algorithm, and the greedy SVP LLL algorithm which is a new variant made by using no parameter of 𝛿���, outperform of the other of two previous algorithm in terms of speed with the same output.
Keyword: LLL algorithm, LLL deep insertion algorithm, greedy SVP LLL algorithm