Judul: Upaya Penganekaragaman Bahan Makanan Ternak Biji Kecipir (Psophocarpus Tetragonolobus (L) DC) serta Pengaruhnya terhadap Bobot Pankreas Hati dan Empedu Ayam Pedaging
Abstrak: Tujuan penelitian ini adalah untuk mengetahui pengaruh perendaman dan perebusan biji kecipir yang diberikan dalam tingkat tertentu terhadap bobot organ pankreas, hati dan empedu ayam pedaging. Juga menentukan lama perendaman, perebusan serta tingkat kecipir yang baik dalam ransum perlakuan yang diberikan.
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Judul: Pengaruh perendaman dan perebusan biji kecipir terhadap performans dan bobot beberapa organ tubuh ayam pedaging
Abstrak: Penelitian ini dilakukan di Laboratorium Bagian Unggas Fakultas Peternakan, Institut Pertanian Bogor selama 7 minggu mulai tanggal 15 Februari sampai dengan tanggal 7 April 1983. Tujuan penelitian ini adalah untuk mengetahui pengaruh perendaman biji kecipir selama 0, 3, 6, 9, 12 dan 15 jam dengan tanpa perebusan dan perebusan selama 15 menit terhadap performans, bobot hati dan bobot limpa ayam peda- ging. Percobaan yang dilakukan dalam penelitian ini merupa- kan percobaan faktorial 2 X 6 dengan 2 ulangan; tiap ulang an terdiri dari 6 ekor ayam. Ayam pedaging yang digunakan berjumlah 156 ekor anak ayam umur sehari terdiri dari 78 ekor jantan dan 78 ekor betina dari jenis CP 707 yang ber- asal dari PT Charoen Pokphan, Tangerang. Semuanya ada 12 macam ransum yang tersusun dari bahan yang sama kecuali dalam hal kecipirnya yang telah mengalami berbagai tingkat perendaman dan perebusan. Hasil analisa statistik menunjukkan bahwa perendaman dan perebusan biji kecipir serta interaksinya sangat nyata mempengaruhi (P/ 0.01) konsumsi ransum dan pertambahan bobot badan. Perebusan berpengaruh terhadap konversi ransum (P/ 0.01) tetapi perendaman tidak berpengaruh. Perendaman tidak mempengaruhi nilai gizi biji kecipir tetapi diduga mempengaruhi selera makan ayam. Mortalitas dan bobot hati tidak dipengaruhi lamanya perendaman dan perebusan biji kecipir. Perebusan selama 15 menit meningkatkan bobot limpa. Perendaman juga mempengaruhi bobot limpa tetapi dengan mekanisme yang belum jelas…
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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