Judul: Keragaman Hymenoptera (Insecta) di Gunung Kendeng dan Gunung Botol, Taman Nasional Gunung Halimun Jawa Barat
Abstrak: Penelitian ini bertujuan nUll.lk mempeiajari keragm11Cm Hymenoptera di Gunung Kendcng dan Gunung Botol, TNGH, Jawa Barat. p'cngmnbilan sampci dilakukan pada buhm Februari, Maret, dan Juni 2000 eli Gunung Kendeng (1100 - 1200 m dpl) dan Gunung Botol (1650 - 1700 m dpl) dengan menggunakan permlgkap yellow pan, light trap, lvlolaise. dan sweep net. Sampel diawetkan dalaln alkohol 70% dan diidentifikasi sampai takson famili berdasarkan Borror e/ al. (1986) dan Goulet & Hubber (1993). Keragalllan Hymenoptera dihitung dengan indeks kemgaman Shannon (H'), sebaran Shrumon (E), datI indeks kesamarul Jaccard (Ci). Dalam penelitian ini didapatkan 38 famili Hymenoptera, 27 famili diperoleh dari Gunung Kendeng dml 34 famili diperoleh dari Gunung Botol. Famili yang domimm di Gunung Kendeng dan Gunung Botol adalah famili Fonllicidae (28,0%), Braconidae (22,0%), Jchneumonidae (15,0%), Diapriidae (15,0'%), Cemphronidae (3,2), Seelionidae (3,0%), dan Cynipidae (2,4%). Kemgaman Hymenoptem di Gunung Kendeng (H' = 2,23; E = 0,66) lebih tinggi dibandingkml denga.tl Glmnng Botol (H' = 2,15; E = 0,53). Kesrunaa.tl Hymenoptera di Gunung Kendeng dan Gunung Botol sebesar 62% (indeks kes,mlaan Jaccard = 0,62). Kesamaan Hymenoptera antar lokasi di Gummg Kendcllg sekitar 70(%, sedangkan antar lokasi eli Gunung Botol sekilar 50%" Kemgaman Hymenoptera . di TNGH dipengaruhi oleh iklim. ketinggiHn tempat dan vegetasi.
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Judul: Keragaman hymenoptera (insecta) di Gunung Kendeng dan Gunung Botol, Taman Nasional Gunung Halimun, Jawa Barat
Abstrak: Penelitian ini bertujuan untuk mempelajari keragaman Hymenoptera di Gunung Kendeng dan Gunung Botol, TNGH, Jawa Barat. Pengambilan sampel dilakukan pada bulan Februari, Maret, dan Juni 2000 di Gunung Kendeng (1100 1200 m dpl) dan Gunung Botol (1650-1700 m dpl) dengan menggunakan perangkap yellow pan, light trap, Malaise, dan sweep net. Sampel diawetkan dalam alkohol 70% dan diidentifikasi sampai takson famili berdasarkan Borror et al. (1986) dan Goulet & Hubber (1993). Keragaman Hymenoptera dihitung dengan indeks keragaman Shannon (H'), sebaran Shannon (E), dan indeks kesamaan Jaccard (Cj). Dalam penelitian ini didapatkan 38 famili Hymenoptera, 27 famili diperoleh dari Gunung Kendeng dan 34 famili diperoleh dari Gunung Botol. Famili yang dominan di Gunung Kendeng dan Gunung Botol adalah famili Formicidae (28,0%), Braconidae (22,0%), Ichneumonidae (15,0%), Diapriidae (15,0%), Ceraphronidae (3,2), Scelionidae (3,0%), dan Cynipidae (2,4%). Keragaman Hymenoptera di Gunung Kendeng (H' 2,23; E = 0,66) lebih tinggi dibandingkan dengan Gunung Botol (H' = 2,15; E = 0,53). Kesamaan Hymenoptera di Gunung Kendeng dan Gunung Botol sebesar 62% (indeks kesamaan Jaccard = 0,62). Kesamaan Hymenoptera antar lokasi di Gunung Kendeng sekitar 70%, sedangkan antar lokasi di Gunung Botol sekitar 50%. Keragaman Hymenoptera di TNGH dipengaruhi oleh iklim, ketinggian tempat dan vegetasi.
Keyword: insekta gunung, cara pengawetan

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