Judul: Interpolasi multi dimensi
Abstrak: Interpolasi adalah metode untuk menaksir nilai data yang tidak ada atau hilang di antara nilai-nilai data yang diberikan. Tujuan penelitian ini adalah untuk mempelajari metode interpolasi dalam dimensi dua, yaitu Bilinear dan mempelajari pengembangan metode interpolasi Bilinear dalam dimensi banyak, serta mengimplementasikan metode interpolasi Multidimensi sampai dengan dimensi tiga. Pada interpolasi dimensi banyak, suatu penduga y(x1, x2,...,x) diperoleh dari suatu grid berdimensi n yang ditabulasikan ke dalam nilai y, dengan n vektor berdimensi satu adalah merupakan nilai-nilai tabulasi dari masing-masing variabel bebas x1, x2,...,n. Dalam hal ini hanya dibatasi untuk interpolasi pada grafik Cartesian, dan hanya dilakukan pada interpolasi berdimensi dua. Untuk interpolasi pada dimensi tiga atau lebih dilakukan generalisasi dari perhitungan tersebut. Dasar pemikiran yang digunakan pada metode Bilinear adalah pemecahan masalah dalam suatu urutan interpolasi berdimensi satu. Interpolasi dilakukan dalam dua arah, yaitu arah x₁ dan x2. Sedangkan untuk interpolasi dalam dimensi banyak, perhitungan yang dilakukan mengikuti metode Bilinear dengan melakukan interpolasi dalam semua arah x; untuk i=1,2,...,n.
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Judul: Interpolasi Multinomial Lagrange di Rn dan Implementasinya dalam MATLAB®
Abstrak: Interpolation is a method to construct a function which goes through a given set of data points. Interpolation is usually implemented in two dimensions. Polynomial Lagrange interpolation is one of formulas that used in R². The purposes of this research are to develop the multinomial Lagrange formula in Rn by reconstructing polynomial Lagrange formula and to build an algorithm of multinomial Lagrange in R³ and its implementation. Systems of linear equations are used as illustration in a process of reconstructing polynomial Lagrange formula. The Vandermonde matrix V is the coefficient matrix of the system. The column vectors of the solution of system are coefficients of interpolation function. A method to reconstruct polynomial Lagrange formula is developed by substituting the rows of Vandermonde matrix V with monomial basis. This method is the basic of construction of multinomial Lagrange interpolation in R". The method is applied by adapting the basis used which is a multinomial basis. An algorithm of multinomial Lagrange interpolation in R³ has been constructed and implemented using MATLAB®. The result of the computation shows that the algorithm is able to work properly.
Keyword: Lagrange interpolation, multinomial basis, Vandermonde matrix

Judul: Physiological Status, Haematocrite, Blood Mineral Plasma in Sheep Infected with Gastrointestinal Nematodes and Offered 50% Concentrate.
Abstrak: Fourteen species of gastrointestinal nematodes may infect sheep and reduce their productivity. Haemonchur contorius is the main cause of anemia in sheep. with high prevalence level of about 80%. Commercial anthelmintic is expensive and its residue may create the problem. Evaluation of alternative methods to prevent infection of nematode is necessary. Nematode infection could be reduced by improvement of Feeding balance ration and early detection of early symptoms may reduce the intensity afnemalode infection. The present experiment was conducted to detennine physiological status. blood haematocrite and mineral Ca and Mg plasma of sheep infected by gastrointestinal nematodes and offered 50% concentrate with or without Zn supplementation. Thirty six of sheep having an average initial live weight of 12.06±1.7 kg were used in the present experiment. The sheep were grouped and allocated into three treatments: 8 sheep were in TO (control), 8 sheep were in TI (infected + 30 ppm Zn supplement), and 20 sheep were D (infected). Sheep were offered hay of Pennisetum purpureum and concentrate (50:50 dry matter basis) at rate of 4% oflive weight. Drinking water was offered ad libitum. At the heginning of the experiment, the sheep were treated with a commercial anthelmintic (toloxan®) at a dose of 5 mllhead. Sheep were infected by 5,000 L3 phase nematode larva conslstmg of 80% Haemonchus con/ortus. 9% Trichostrongylus. 6% Cooperia and 5% Oesophagostonum. On the day of 18th after infection. egg count per gram feces were detennined by McMaster method at sensitivity of 1:100. A complete randomized uuhalance design was used to compare the effect of treatments on physiological status, haematocrite, and Ca as well Mg plasma. used McMaster method. Reduction value (RY) of egg count per gram feces was calculated based on a formula as follows: RV ~ (1- (K1/P1*P2/K2))*100%. Result showed that nematode infection changed the physiological status of sheep fed ration which with or without Zn supplementation. Heart beat rate increased significantly (p<0.05) on TO compared with TI and D. Rectal temperature, respiratory rate, blood haematocrite, Ca and Mg plasma were not significantly altered by nematode infection. Key Words: nematode. mineral, physiology and hematocrite.
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