Judul: Mempelajari Penggunaan Wortel (Daucus carota L.) Bubuk dalam Bahan Makanan Campuran Beras-Tempe untuk Anak Balita
Abstrak: Penelitian ini bertujuan untuk mengetahui kandunga zat gizi, status vitamin A dan daya terima konsumen terhadap bahan makanan campuran beras-tempe-wortel untuk anak balita di atas 18 bulan. Penelitian ini dilakukan dalam dua tahap yaitu penelitian pendahuluan dan penelitian lanjutan. Pada penelitian pendahuluan dilakukan pembuatan wortel bubuk dan tempe bubuk, penentuan kadar karoten wortel bubuk, penambahan wortel bubuk ke dalam campuran beras-tempe da analisis kandungan zat gizi bahan makanan campuran beras tempe-wortel.
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Judul: Pengaruh Invertensi Sayuran Wortel (Daucus carota L.) terhadap Status Vitamin A dan Morbiditas Anak Sekolah Dasar (Studi Kasus di KEc. Cibadak, Kab. Sukabumi)
Abstrak: Tujuan penelitian ini adalah untuk mengetahui pengaruh intervensi makanan yang berasal dari sayuran wortel berupa sup dan juice terhadap status vitamin A dan morbiditas anak sekolah dasar, mengetahui hubungan tingkat konsumsi vitamin A, energi, protein dan lemak dengan serum vitamin A, serta hubungan serum vitamin A dan keadaan sanitasi lingkungan dengan morbiditas. Penelitian ini dilaksanakan di desa Karangtengah dan ciheulang Tonggoh, Kecamatan Cibadak, Kabupaten Sukabumi, berlangsung dari bulan Mei sampai Oktober 1992. Pemilihan lokasi penelitian dan contoh penelitian dilakukan secara purposive sampling. Contoh penelitian adalah anak sekolah dasar kelas 3, 4 dan 5 (9-13 tahun), berstatus gizi kurang atau buruk serta tidak menderita penyakit menahun, yaitu sebanyak 111 anak yang dibagi menjadi 3 kelompok : Kelompok A (37 anak) adalah kelompok yang mendapat intervensi sup, kelompok B (38 anak) mendapat intervensi juice, dan kelompok C (36 anak) sebagai kelompok kontrol. Intervensi diberikan selama 2 bulan. Sayuran wortel yang diberikan mengandung vitamin A sejumlah kekurangan vitamin A rata-rata perhari.
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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