Judul: Uji Tuberkulin pada Beberapa Jenis Ternak
Abstrak: Tuberkulosis adalah penyakit menular bersifat kronis, merupakan salah satu zoonis penting yang menyerang mamalia serta unggas. Penyakit ini ditandai oleh pembentukan turbekel disertai proses perkejuan dan pengapuran. Kasus penyakit ini cenderung lebih banyak ditemukan di daerah k=beriklim dingin. Data yang pasti mengenai kasus ini di Indonesia sampai saat ini belum ada.
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Judul: Tuberkolosis pada ternak sebagai zoonosis ditinjau dari segi kesehatan masyarakat dan kebijakan pemerintah
Abstrak: Penyakit tuberkulosis pada ternak disebabkan oleh mycobacterium tuberculosis, dibagi dalam tiga tipe yaitu tipe human, tipe avian dan tipe bovine. Ketiga tipe mycobacterium tuberculosis ini dibedakan dari sifat-sifat bakteri pada pupukan dan tingkat virulensi pada beberapa hewan percobaan. Kepekaan hewan ataupun ternak terhadap salah satu tipe mycobacterium tuberkulosis berbeda satu dengan lainnya. Kasus tuberkulosis pada ternak masih jarang ditemukan dibandingkan dengan penyakit zoonosis lainnya. Penularan tuberkulosis terutama melalui jalur pernafasan, infeksi silang antara hewan, peralatan yang terkontaminasi, makanan ataupun minuman yang juga terkontaminasi. Dalam infeksi tuberkulosis, kekuatan magrofag dan tingkat virulensi bakteri memegang peranan penting dalam penetrasi bakteri selanjutnya. Semakin kuat daya magrofag semakin kecil kemungkinan terinfeksi tuberkulosis, atau semakin tinggi virulensi bakteri semakin besar peluang terinfeksi tuberkulosis. Dalam proses perjalanan penyakit dan perkembangan selanjutnya, mekanisme respon kekebalan sangat mempengaruhi. Pengendalian tuberkulosis pada ternak ataupun hewan secara umum perlu dilakukan pencegahan dan pengobatan. Tindakan pencegahan berupa karantina yang ketat, uji tuberkulin yang rutin dan penyingkiran reaktor. Tindakan pengobatan umumnya ..dst
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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