Judul: Asupan dan Kebutuhan Cairan, serta Status Hidrasi pada Anak Usia Pra Sekolah di RA. Aisyiyah Bustanul Athfal 1 Kabupaten Belitung
Abstrak: Penelitian ini bertujuan untuk mengkaji asupan dan kebutuhan cairan, serta status hidrasi pada anak usia pra sekolah di RA. Aisyiyah Bustanul Athfal 1 Kabupaten Belitung. Desain penelitian yang digunakan adalah cross-sectional study. Penelitian bertempat di RA. Aisyiyah Bustanul Athfal 1 Kabupaten Belitung dengan 50 orang siswa-siswi sebagai subjek penelitian. Sebanyak 20% subjek memiliki tingkat kecukupan cairan yang kurang (< 90%), 44% subjek memiliki tingkat kecukupan cairan yang cukup (90-110%), dan 36% subjek memiliki tingkat kecukupan cairan yang lebih. Sebesar 62% subjek mengalami kurang terhidrasi dengan baik berdasarkan pemeriksaan warna urin dan 38% lainnya terhidrasi dengan baik. Hasil analisis bivariat dengan Uji korelasi Spearman menunjukkan terdapat hubungan yang signifikan antara tingkat kecukupan cairan dengan status hidrasi (p<0.05, r= -0.874).
Keyword: asupan caira, status hidrasi, tingkat kecukupan cairan

Judul: Hubungan antara tingkat pemenuhan kebutuhan air dan asupan serat pangan dengan status hidrasi dan konstipasi siswa SMP
Abstrak: Penelitian ini bertujuan untuk menganalisis hubungan tingkat kecukupan air dan asupan serat pangan dengan status hidrasi dan konstipasi. Penelitian ini menggunakan desain cross sectional study. Jumlah sampel dalam penelitian ini adalah 102 siswa. Hasil penelitian menunjukkan bahwa 47,1% sampel berada pada kategori tingkat kecukupan air kurang. Asupan serat pangan seluruh sampel juga berada pada kategori kurang. Status hidrasi sampel berdasarkan warna urin (83,3%) dan gejala dehidrasi (63,7%) bukan dehidrasi. Kurang dari setengah sampel (27,5%) mengalami konstipasi. Tingkat kecukupan air berkorelasi positif signifikan dengan status hidrasi berdasarkan warna urin (r=0.197; p=0.047) dan menunjukkan korelasi negatif signifikan antara asupan serat pangan dengan konstipasi (r=-0.290 ; p=0.003).
Keyword: The water adequacy level, Dietary fiber intake, Hydration status, Constipation

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