Judul: Gambaran darah kucing kampung, Felis domestica di daerah Bogor
Abstrak: Beberapa faktor yang dapat menyebabkan perbedaan pada gambaran darah tiap individu adalah perbedaan umur, lingkungan bahkan perbedaan jenis kelamin. Penelitian ini dilakukan untuk untuk mengetahui gambaran hematologi kucing kampung (Felis domestica) secara deskriptif di wilayah Bogor, meliputi eritrosit (RBC, hemoglobin, hematokrit, MCV, MCHC), leukosit (WBC, neutrofil, limfosit, eosinofil, dan basofil) dan trombosit. Hewan yang digunakan dalam penelitian ini adalah 14 ekor kucing kampung sehat secara klinis, berumur di atas 1 tahun yang masing-masing diambil darahnya secara intravena. Nilai-nilai sel darah dihitung dengan menggunakan mesin penghitung elektronik (Hemavet). Parameter yang diamati dalam penelitian ini adalah total eritrosit, total leukosit, diffrensiasi leukosit, hemoglobin, hematokrit, MCV (Mean Corpuscular Volume), MCH (Mean Corpuscular Hemoglobin), MCHC (Mean Corpuscular Hemaglobin Concentration), RDW (Red Cell Distribution Width) dan trombosit.
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Judul: Gambaran darah anjing kampung(Canis familiaris) di daerah Jakarta dan Bogor
Abstrak: Perbedaan kondisi lingkungan dan ras dapat menyebabkan perbedaan pada gambaran darah. Penelitian ini bertujuan untuk mendapatkan gambaran darah anjing kampung (Canis familiaris) yang sehat secara klinis di daerah Jakarta dan Bogor. Tiga puluh sembilan sampel darah dikoleksi dari vena cephalica antibrachii dorsalis dengan menggunakan disposable syringes 3 ml yang telah diberi heparin. Nilai-nilai darah dihitung dengan menggunakan mesin penghitung elektronik (Hemavet). Dari hasil penelitian terhadap sampel darah anjing kampung yang sehat secara klinis diketahui bahwa anjing kampung umur (1-2) tahun memiliki kisaran nilai eritrosit, hemoglobin, hematokrit, mean corpuscular volume (MCV), mean corpuscular hemoglobin (MCH), mean corpuscular hemoglobin concentration (MCHC), red cell distribution width (RDW), leukosit, neutrofil, limfosit, eosinofil dan trombosit berturut-turut adalah 7.21±1.86x10/µl, 14.8±3.95g/dl, 45.97±12.5%, 63.96±8.47fl, 20.65±3.07pg, 32.61±4.93%, 16.37±1.37%, 15.87±4.76x103/µl, 8.02±3.61x103/µl, 7.62±2.96x10³/µl, 0.13±0.14x10³/µl dan 193.42±70.1x10³/µl. Sedangkan anjing kampung berumur lebih dari 2 tahun memiliki nilai eritrosit, hemoglobin, hematokrit, MCV, MCH, MCHC, RDW, leukosit, neutrofil, limfosit, eosinofil dan trombosit berturut-turut adalah 8.87±2.03x10/µl. 18.41±4.76g/dl, 53.55±11.51%, 61.42±9.21fl, 20.68±2.04pg. 34.6±7.11%, 16.33±1.18%, 12.33±3.54x103/µl, 6.47±2.38x103/µl, 5.77±3.17x103/µl, 0.08±0.12x10³/µl dan 222.8±105.82x103/µl.
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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