Judul: Perancangan Kemasan Transportasi Buah Jambu Air (Syzygium aqueum (Burm.f.) Alston) cv Camplong
Abstrak: Jamboo cv Camplong, called water rose, is one of the East Java’s superior fruits from Madura that have the high economic values and consumed as fresh fruit. It is including most perishable comodities and having short shelf life and also suspectible with impact and friction during transportation. Therefore the packaging technology during transportation becomes a critical point of post-harvest to maintain freshness of products when it is distributed to consumers. The purposes of this research were designing a secondary packaging during transportation and determining the appropriate type of primary packaging to maintain the quality of Jamboo. Materials in this reasearch were two types of corrugated cardboard (BC flute for packaging and A flute for partition) and jamboo cv camplong (weight 90 - 110 grams, diameter 60 mm and height 55 mm) from the Tadden village, Sampang East Java. The physical and mechanical properties of the fruits, and also the efficiency of the container space were being concerned to decide. The first step of packaging design. Secondary packaging design was done with determined dimensions, models, efficiency and manufacturing steps of packaging. The second step was done with tested of the package that has been designed, esspecially compression strength. For the third steps, the jamboo cv camplong was transported with net foam and paper packing filler (primer). After transportation process, fruits damage were observed visually and stored at room temperature ± 27 ºC. Then the color quality, hardness, total soluble solids, and amount of rotten fruits were observed every day during the time. Result of the packaging design (partitioned and unpartitioned) was having dimension 57x217x216 mm, with capacity of 45 pieces of fruits (equivalent to 4.5 kg) for partitioned packaging design and 69 pieces of fruits (equivalent to 7 kg) for unpartitioned packaging design. The strength of packaging resulted about 258.59 kgf (partitioned packaging design) and 401.92 kgf (unpartitioned packaging design) for pressure resist. Fruits that were packed with partitioned packing using net foam filler material had lowest mechanical damage (about 5.02 %), while the highest mechanical damage of fruits happened in the farmers packaging design (about 20.87 %) after transportation process. Statistical analysis showed that the influence of the primary packaging net foam / paper was significantly different, there are for color, hardness, total dissolved solids and total rotten fruits during storage after transportation. By using this designed packaging could give a net profit of about IDR 300.000 – 600.000 and it was greater than the conventional farmer’s packaging, by maximizing the container space during transportation.
Keyword: Jamboo cv Camplong, packaging, transportation

Judul: Perancangan dan pengujian kemasan berbahan karton gelombang (corrugated fiber board) untuk buah manggis (Garcinia mangostana L.)
Abstrak: Plastic basket packaging is still commonly used in the transport of mangosteen fruits, however plastic basket usage has a few disadvantages, such as random patterns composing which can cause mechanical damage to fruits, and plastic is also hard decomposite material, therefore it is needed alternative packaging to cover disadvantages of plastic basket packaging. This research with an entitled Design and Testing of Corrugated Fiber Board Packaging For Mangosteen (Garcinia mangostana L.) was done to design and test the packaging from corrugated fiber board and. The main material used for this research was the Mangosteen fruits and corrugated carton. There ware three stages of the research: designing packaging, testing the compressive strength, and optimization of the stack. Design process produced two packaging designs, that was: secondary packaging with capacity of 48 fruits per package (K48C dimensions 42.6 × 28.6 × 15.6 cm), and secondary packaging with 60 fruits (K60C dimensions 43 × 35.1 × 15.6 cm). Packaging materials used was type C flutes corrurugated fiber board for secondary packaging, and B flute for primary packaging, which K48C can be filled by 12 primary. While K60C can be charged 10 primary packages. Both designed packaging have a maximum stack of 25 piles. The results of transport simulation which was equivalent with 133.878 km in the road out of town or approximately 2:23 hours for truck with speed of 60 km/h shows level of fruits mechanical damage in K48C was 1.39%, while level of mechanical damage the fruit in K60C was 1.67%. Based on the test of variance and Duncan test show that the rate of change in weight, total dissolved solids, and hardness among fruits packed in selected packaging during transport simulation are not too different from control fruits. The result of optimization of selected package on the pallet ( 1200x1000x1500 mm) using Cube Master program shows that K48C packaging had efficiency of utilization value of pallet area of 80.66%, and 75.49% efficiency in volume usage. While for K60C, an efficiency utilization value of pallet area was 74.76%, and volume efficiecyt usage was 69.98%.
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Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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