Judul: Sel eosinofil dalam jaringan dan perifer pada ayam  yang diinfeksi dengan Eimeria tenella setelah pemberian rebusan rimpang teki (Cyperus rotundus L.)
Abstrak: Penelitian ini bertujuan untuk mengetahui pengaruh pemberian rebusan rimpang teki (Cyperus rotundus L.) dengan berbagai konsentrasi terhadap jumlah sel eosinofil pada ayam yang diinfeksi Eimeria tenella. Ayam petelur jantan galur Hysex Brown berumur 2 minggu sebanyak 90 ekor dibagi menjadi 6 kelompok yaitu kontrol negatif, kontrol positif, kontrol obat, teki 1,25%, teki 12,5% dan teki 25%. Pengambilan darah dilakukan pada hari ke 4, 7, 11, 14 post-infeksi. Perhitungan sel eosinofil perifer dilakukan dengan metode Henkelmen dengan menggunakan kamar hitung Neaubauer. Pengambilan jaringan sekum dilakukan pada hari ke 4, 5. 7, 14 post-infeksi untuk penghitungan sel esinofil jaringan dengan pembuatan preparat histopatologi.
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Judul: Nilai sel eosinofil pada ayam yang diinfeksi Eimeria tenella dengan pemberian rebusan rimpang bangle(Zingiber cassumunar Roxb)
Abstrak: Penelitian ini bertujuan untuk mengetahui pengaruh pemberian rebusan rimpang bangle (Zingiber cassumunar Roxb) berbagai konsentrasi terhadap sel eosinofil baik di jaringan maupun perifer pada ayam yang diinfeksi Eimeria tenella (E. tenella). Sembilan puluh ekor ayam berumur 2 minggu dibagi menjadi enam kelompok perlakuan masing-masing 15 ekor yaitu kelompok kontrol obat, kontrol positif, kontrol negatif, kelompok perlakuan bangle dengan konsentrasi 1,25%, 12,5%, dan 125%. Ayam diinfeksi peroral dengan 1 x 10 ookista E. 4 tenella bersporulasi. Indikator pengaruh perlakuan ditentukan dengan penghitungan sel eosinofil perifer pada hari ke-4, 7, 11 dan 14 setelah infeksi menggunakan metode Hinkelman dan sel eosinofil jaringan dengan pembuatan preparat histopatologi dari organ sekum pada hari ke-4, 5, 7 dan 14 setelah infeksi. Hasil penelitian menunjukkan nilai sel eosinofil perifer bangle konsentrasi 12,5% pada hari ke-7 lebih rendah dari pada kontrol positif dan berbeda nyata (P <0,05) terhadap bangle konsentrasi 1,25%. Rata-rata sel eosinofil jaringan bangle konsentrasi 12,5% lebih rendah dari 1,25%. Nilai sel eosinofil perifer bangle konsentrasi 12,5% pada hari ke-11 lebih tinggi dari kontrol positif dan bangle konsentrasi 1,25% serta menunjukkan perbedaan yang nyata (P<0,05). Nilai sel eosinofil bangle konsentrasi 12,5% mengalami fluktuasi.
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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