Judul: Pengaruh Lama Perendaman Daging Paha Itik Lokal dalam Sari Buah Nenas Muda dengan Konsentrasi yang Berbeda terhadap pH, Daya Mengikat Air dan Keempukan
Abstrak: Produk itik yang telah memasyarakat baru terbatas pada teluinya, sedangkan dagingnya masih kurang disukai kasena alot. Kealotan daging itik dapat dikurangi diantaranya dengan menggunakan enzim atau bahan pengempuk lainnya sebagai salah satu alternatif untuk memperbaiki kualitas daging. Salah satu bahan pengempuk yang dapat digunakan yaitu enzim bromelin yang berasal dasi nenas atau enzim papain yang berasal dari pepaya.
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Judul: Keempukan, pH dan Daya Mengikat Air Otot Semitendinosus Sapi Peranakan Ongole pada Berbagai Taraf Suhu dan Konsentrasi Perendaman Sari Hati Nenas Muda.
Abstrak: Daging merupakan bahan pangan bernilai gizi tinggi, yang dibutuhkan oleh manusia. Namun daging memiliki beberapa kriteria agar dapat diterima konsumen. Salah satu kriteria tersebut adalah keempukan. Penambahan bahan pengempuk banyak digunakan pada daging dari ternak tua dan dagingnya cukup alot. Penelitian ini dilaksanakan di Laboratorium Ruminansia Besar Jurusan Ilmu Produksi Ternak, Fakultas Peternakan dan Laboratorium Biokimia dan Enzimatis, Balai Penelitian Bioteknologi dan Tanaman Pangan. Penelitian ini berlangsung mulai bulan Agustus 1999 sampai bulan Nopember 1999.
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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