Judul: Pendugaan Umur Simpan dan Analisis Keamanan Cookies Berbasis Pati Garut (Maranta arundinaceae L) dengan Penambahan Torbangun (Coleus amboinicus Lour)
Abstrak: The purpose of this study was to determine the shelf life of arrowroot starch-based cookies with the addition of torbangun and to analyze the products’ safety during storage. Estimation cookies’s shelf life was calculated using the Accelerated Shelf Life Testing method with the approach of critical water. This method then followed by storage the cookies for 12 weeks with polypropylene and metalized plastic packaging. The cookies were analyzed every four weeks. The analysis consisted of organoleptic test, and product damage parameters such as pH, total acid titration, thiobarbituric acid, peroxide levels and total microbes. The results showed that cookies have a shelf life as long as 22 months with metalized plastic packaging and five months with polypropylene plastic packaging at 75% Relative Humadity (RH) storage. During the 12 weeks of storage, the organoleptic value was still acceptable. The storage duration and also the type of packaging used were not significant different (p> 0.05) against all damage parameters of the product.
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Judul: Prediction of Shelf Life and Analyses of the Safety of Arrowroot Starch (Maranta arundinaceae L)-Based Cookies with the Addition of Torbangun (Coleus amboinicus Lour).
Abstrak: The purpose of this study was to determine the shelf life of arrowroot starch-based cookies with the addition of torbangun and to analyze the products’ safety during storage. Estimation cookies’s shelf life was calculated using the Accelerated Shelf Life Testing method with the approach of critical water. This method then followed by storage the cookies for 12 weeks with polypropylene and metalized plastic packaging. The cookies were analyzed every four weeks. The analysis consisted of organoleptic test, and product damage parameters such as pH, total acid titration, thiobarbituric acid, peroxide levels and total microbes. The results showed that cookies have a shelf life as long as 22 months with metalized plastic packaging and five months with polypropylene plastic packaging at 75% Relative Humadity (RH) storage. During the 12 weeks of storage, the organoleptic value was still acceptable. The storage duration and also the type of packaging used were not significant different (p> 0.05) against all damage parameters of the product.
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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