Judul: Produk Jamu dari Desa Sukajadi. Kecamatan Tamansari. Kabupaten Bogor
Abstrak: Penelitian ini secara umum bertujuan untuk mempelajari kandungan gizi dan senyawa aktif jamu tradisional untuk kesehatan ibu melahirkan dan ibu menyusui. Tujuan khususnya adalab menginventarisir dan mempelajari komposisi bahan-bahan yang digunakan dalam pembuatan jamu, mempelajari proses pembuatan jamu, menganalisis kandungan gizi dan senyawa aktif yang terdapat dalam jamu tersebut dan kemungkinan hubungannya dengan kesehatan/kesegaran ibu nifas, mempelajari daya simpan jamu dan pengaruhnya terhadap kandungan kimia jamu
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Judul: Analisis preferensi konsumen jamu serbuk kemasan di Kota Bogor, Jawa Barat
Abstrak: Pengetahuan tentang tanaman obat tradisional merupakan warisan budaya bangsa berdasarkan pengetahuan, pengalaman dan ketrampilan secara turun temurun yang diwariskan kepada generasi penerus bangsa. Studi penelitian jamu secara ilmiah dipelopori oleh Rumphius seorang ahli tanaman diakhir tahun 1775 dengan diterbitkannya buku “Herbria Amboinesis”. Penelitian ilmiah tentang jamu juga telah dilakukan oleh Pusat Riset Tanaman Obat di kebun Raya Bogor, dengan menerbitkan buku “Medical book For children and Adults”, yang disusun oleh E. Van Bent. Jamu yang diproduksi oleh pengusaha jamu modern saat ini sudah dapat disejajarkan dengan obat modern dengan uji klinis atau fitofarmaka yang menjamin mutu jamu lebih bagus dan berkhasiat. Hal tersebut membuktikan bahwa jamu meskipun hanya menggunakan bahan alami yang berasal dari tanaman obat tetap memiliki khasiat yang baik untuk penyembuhan penyakit, serta aman dengan efek samping yang minimal dibanding obat farmasi modern.
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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