Judul: Kajian pengaruh jenis kemasan polietilen dan polipropilen terhadap umur simpan buah Belimbing manis (Averrhoa carambola L.)
Abstrak: Star fruit is a fruit that spread out in Southeast Asia, including Indonesia. The shelf life of star fruit after postharvest are very short, so it is necessary to maintain the treatment method of star fruit quality to extend the shelf life of the fruit. One way to extend the star fruit shelf life is by package the fruit by choosing the right type of plastic. The type plastics that used in these experiments are low density polyethylene, high density polyethylene, and polypropylene. To find the right type of packaging in maintaining the quality of star fruit take several tests and storage at different temperatures in order to know the physical and chemical changes of the star fruit. Star fruit that has been packaged are stored in different temperatures (5 ° C, 10 °C, room temperature). The test that have been conducted is to determine the best packaging of respiration and the permeability test of plastic packaging color, hardness, soluble solids content, weights loss, and organoleptic. The results of several trials of star fruit during storage at 5 °C, 10 °C, and room temperature refers to the polypropylene plastic packaging that can maintain the quality of star fruit with a longer storage at optimum temperature of 10 °C.
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Judul: Pengaruh Perlakuan Pengemasan Belimbing (Averrhoa carambola L) dengan Penggunaan Bahan Pengisi terhadap Mutu Fisik Belimbing Selama Transportasi
Abstrak: Packaging starfruit (Averrhoa carambola L) becomes a critical factor in maintaining the physical quality of fruit due to vibration during transportation. The objective of this research was to asses the endurance of physical quality parameters of its fruit, such as mechanical damage, hardness, weight losses, and total solid soluble. The first treatment is used sliced filler paper, wood shavings, and sawdust for the filler material in the packs. The second treatment is arranged the starfruit position in packaging by using 2 different methods, namely, vertical and horizontal methods. The result has shown the starfruit which arranged horizontally and packaged with the sliced filler paper is the suitable treatment for packaging. After transportation simulation, the treatment showed 2% of mechanical damage, 0.555 Kgf of hardness and 7% obrix of total solid soluble. At the 8th day, showed 86% of mechanical damage, 0.426 Kgf of hardness, 3.76% of weight lose and 8.3% obrix of total solid soluble. The horizontal position of packaging can reduce the vibration better than the vertical one.
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Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix