Judul: Keadaan kurang vitamin A di daerah pegunungan dan pesisir Kalimantan Barat serta kaitannya dengan konsumsi vitamin A, sosial ekonomi dan status gizi anak balita
Abstrak: Penelitian ini bertujuan untuk mengetahui: 1) tingkat pendidikan orang tua dan jenis rumah tangga di daerah pegunungan dan pesisir serta hubungannya dengan pekerjaan, konsumsi Vitamin A dan kadar Vitamin A serum anak balita; 2) jenis pekerjaan dan hubungannya dengan pendapatan; 3) pendapatan rumah tangga dan hubungannya dengan konsumsi Vitamin A; 4) konsumsi Vitamin A serta hubungannya dengan kadar Vitamin A serum anak balita; 5) status Vitamin A; 6) hubungan status Vitamin A dengan status gizi, anemia dan lingkungan perumahan.
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Judul: Pengaruh aspek sosial ekonomi terhadap lingkungan rumah, perawatan kesehatan dan status gizi anak balita : Studi kasus di kelurahan Lenteng Agung kecamatan Perwakilan pasar minggu, Jakarta Selatan DKI Jakarta
Abstrak: Penelitian ini bertujuan untuk mengetahui pengaruh aspek sosial ekonomi terhadap lingkungan rumah, perawatan kesehatan dan status gizi anak balita. Pengambilan contoh dilakukan secara acak sederhana. Dari 678 keluarga yang mempunyai anak balita, diambil 60 keluarga. Dari sini di- dapat 34 keluarga yang mempunyai anak balita berstatus gi- zi baik, 25 berstatus gizi kurang dan seorang anak balita berstatus gizi buruk. Data yang dikumpulkan terdiri dari data primer dan sekunder. Data primer diperoleh dari wawancara langsung dan pengamatan dengan menggunakan kuesioner. Data primer meliputi identitas keluarga, lingkungan rumah, perawatan kesehatan anak balita, kejadian penyakit anak balita dan konsumsi pangan anak balita serta data antropometri anak balita yaitu berat badan. Lingkungan rumah ditentukan berdasarkan keadaan rumah, pembuangan sampah dan kotoran manusia serta sarana penyediaan air. Perawatan kesehatan anak balita ditentukan berdasarkan perawatan tubuh se- hari-hari, pencegahan dan penanggulangan penyakit serta sanitasi penyiapan makanan dan minuman. Lingkungan rumah dan perawatan kesehatan anak balita kemudian dikategorikan baik, cukup dan kurang. Data sekunder meliputi keadaan geografi, penduduk, mata pencaharian, sarana sosial ekono- mi dan data anak balita yang diperoleh dari kantor Kelu- rahan dan Puskesmas. ...
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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