Judul: Pengaruh Beerbagai Tingkta Energi dalam Ransum Yang Mengandung Protein 16% Dan Strain Terhadap Konsumsi Air Minum Ayam Petelur Tipe Medium Yang Dikandangkan Dalam Sistem Cage
Abstrak: Air merupakan unsur yang vital dalam fungsi biologis, namun dalam melaksanakan tatalaksana pemeliharaan ayam baik dalam bentuk pemeliharaan secara kecil-kecilan, maupun dalam bentuk perusahaan kadang-kadang masih kurang mendapat perhatian. Tujuan dari penelitian ini adalah untuk mengetahui pengaruh berbagai tingkat energi dalam ransum yang mengandung protein 16% dan strain terhadap konsumsi air minum ayam petelur tipe medium yang dikandangkan dlam sistim Cage.
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Judul: Pengaruh Berbagai Tingkat Energi Metabolis Dalam Ransum Yang Berkadar Protein 18 Persen dan Pengaruh Strain Terhadap Konsumsi AIr Minum Ayam Petelur Tipe Medium Pada Pengandangan Sistim Cage
Abstrak: Percobaan ini dilakukan di Bagian Unggas, Fakultas Peternakan, Institut Pertanian Bogor, dari tanggal 20 Oktober 1980 sampai dengan tanggal 19 Januari 1981. Tujuan dari percobaan ini adalah untuk mengetahui pengaruh berbagai tingkat energi metabolis dalam ransum yang berkadar protein 18 persen dan pengaruh strain terhadap konsumsi air minum ayam petelur tipe medium yang dikandangkan dalam "individual cage". Percobaan ini menggunakan rancangan acak lengkap, dengan pola faktorial 3 x 2. Sebagai materi percobaan digunakan 132 ekor ayam petelur Super Harco yang diperoleh dari perusahaan pembibitan ayam PT Charoen Pokphand, Tangerang dan 132 ekor ayam petelur Hisex Brown yang diperoleh dari perusahaan pembibitan ayam PT Sinta Poultry, Slipi, Jakarta, sejak umur satu hari. Ransum percobaan yang digunakan berturut-turut mengandung 2450, 2650, 2850 Kkal energi metabolis per kilogram ransum dengan kandungan protein masing-masing sebesar 18 persen. ...
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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