Judul: Pengaruh kegiatan produktif dan reproduktif terhadap fertilitas : Studi kasus di desa Batusari, Kecamatan Kalijati, Kabupaten Subang, Jawa Barat
Abstrak: Tujuan dari penelitian ini adalah untuk melihat: (1) profil rumahtangga responden serta hubungannya dengan tingkat fertilitas wanita, (2) sejauh mana kegiatan produktif dan reproduktif wanita berpengaruh terhadap tingkat fertilitasnya. Penelitian ini menggunakan metode studi kasus dan survei. Data primer diperoleh melalui pengisian kuisioner terstruktur dengan metode recall (sehari dan sebulan yang lalu), wawancara mendalam serta pengamatan. Data sekunder diperoleh dari Kantor Pemerintahan desa Batusari serta dinas dan instansi terkait. Sampel di pilih. secara purposive berdasar stratifikasi penguasaan atas lahan. Secara umum, tingkat pendidikan formal pria lebih tinggi dari wanita. Selain faktor biaya, penyebab lain adalah adanya anggapan bahwa kewajiban wanita adalah menikah dan mengurus rumahtangga sehingga dirasa tidak perlu menempuh pendidikan yang terlalu tinggi.
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Judul: Pengaruh Kerja Nafkah Wanita Terhadap Fertilitas (Studi Kasus di Desa Saren, Kecamatan Kalijambe, Kabupaten Sragen, Jawa Tengah)
Abstrak: Penelitian ini secara umum bertujuan mempelajari sifat pengaruh pekerjaan dan karakteristik latar belakang (pendidikan) wanita terhadap fertilitas melalui variabel antara (umur kawin pertama, lama menyusui, dan pemakaian kontrasepsi). Secara khusus tujuannya adalah mempelajari (1) pengaruh pekerjaan wanita terhadap fertilitas, (2) pengaruh pekerjaan wanita terhadap kemandiriannya, (3) pengaruh kemandirian wanita terhadap fertilitas, (4) pengaruh karakteristik latar belakang (pendidikan) wanita terhadap fertilitas, (5) pengaruh nilai ekonomi anak terhadap fertilitas, serta (6) pengaruh norma besar keluarga terhadap fertilitas.
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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