Judul: Penggunaan makanan bayi formula tempe dalam diit bayi dan anak balita sebagai suatu upaya penanggulangan masalah diare
Abstrak: Angka kematian bayi dan balita yang masih tinggi di Indonesia, terutama disebabkan karena diare. Kematian akibat diare selain karena dehidrasi, juga karena dayatahan tubuh penderita menurun yang disebabkan kehilangan zat gizi selama episode diare, mengakibatkan penderita mudah terkena penyakit lain dan keadaan gizi kurang atau buruk.
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Judul: Pemanfaatan Dali Susu pada Formula Makanan Tambahan untuk Anak Balita
Abstrak: Tujuan dari penelitian ini adalah untuk membuat formula makanan tambahan untuk anak balita dari campuran dali susu sapi, tepung kedelai dan tepung beras atau tepung ubi jalar merah serta tepung gula. Penelitian ini dibagi menjadi dua tahap, yaitu penelitian pendahuluan dan penelitian utama. Pada penelitian pendahuluan dilakukan pembuatan dali, tepung kedelai dan tepung ubi jalar merah serta analisis proksimat terhadap beberapa bahan dasar untuk pembuatan formula. Sedangkan penelitian utama meliputi tahap formulasi bahan dasar dengan mengacu pada standar FAO/WHO (1994), pengolahan menjadi tepung formula, pengujian sifat fisik dan organoleptik, analisis zat gzi (analisis proksimat, kadar kalsium dan asam lemak esensial) dari 2 tepung formula terpilih serta pengembangan tepung formula terpilih menjadi cookies untuk diuji daya penerimaannya pada anak balita. Dua kelompok formula yang dibuat yaitu kelompok formula FDB dan FDU, masing-masing terdiri dari 3 jenis formula. Kelompok formula FDB dibuat dari bahan dasar dali, tepung kedelai, tepung beras dan tepung gula sedangkan bahan dasar kelompok formula FDU adalah dali, tepung kedelai, tepung ubi jalar merah dan tepung gula.
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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