Judul: Formulation of Centella asiatica Leaf Powder on Weaning Food as Functional Food Product
Abstrak: The aim of this study was examine the formulation of Centella asiatica leaf powder on weaning food as a functional food product. The study was conducted from April to September 2011. The main material used in this study was fres Centella asiatica leaf that will be processed into powder and another materials for the manufacture of weaning food. The instruments used in this study were oven blower FIR, diskmill, HPLC and AAS. The study design used in this study a Randomize Complete Blok Design. The results showed that fresh Centella asiatica leaf contain protein 4,58% wb, beta-karoten 88,76 ppm, vitamin C 79,14 mg/100g, Fe 43,26 mg/100g, Ca 1994,28mg/100g that needed by infants. Drying affects the physical and chemical properties of Centella asiatica leaf. The best drying temperatur for powder Centella asiatica was 550C. Centella asiatica powder has already safe quality on mikrobial contaminan. The time of adding Centella asiatica powder affected the density of weaning food. Average nutrition contant of weaning food Centella asiatica added, water 3,68%wb, protein 13,00%db, fat 2,10%db, beta-karoten 330,63ppm, vitamin C 216,16mg/100g, calcium 276,63mg/100g, Fe 14,29mg/100g, selenium 52,02mg/100g, asiatic acid 0,66%db. Average nutritional value of weaning food Centella asiatica added has met SNI and PAG. Overall the weaning food Centella asiatica was accepted by panelist, and the most aceptable weaning food has been qualified as safe weaning food instan powder.
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Judul: Organoleptik Properties, Nutritional Content, and  Antioxidant Activity of Instant Cream Soup from Soybean Tempeh Flour and Gotu  Kola (Centella asiatica)
Abstrak: Lansia rentan mengalami masalah kesehatan seperti gangguan fungsi kognitif dan kurangnya ketahanan tubuh. Tempe kedelai mengandung vitamin B12 yang berperan dalam fungsi kognitif. Sementara itu pegagan merupakan antioksidan kuat yang dapat meningkatkan ketahanan tubuh. Penelitian ini bertujuan menganalisis sifat organoleptik, kandungan gizi, dan aktivitas antioksidan produk sup krim instan berbahan tepung tempe kedelai dan pegagan sebagai alternatif makanan untuk lansia. Desain penelitian ini adalah experimental study dengan Rancangan Acak Lengkap (RAL). Berdasarkan hasil uji organoleptik, F3 ditetapkan sebagai formula terbaik dengan kadar air 2,99%; kadar abu 4,41%; kadar lemak 9,72%; kadar protein 21,41%; kadar karbohidrat 60,29%, kadar vitamin B12 0,08 μg, dan aktivitas antioksidan (IC50) pada konsentrasi 2514 ppm dan setara dengan 15,81 mg vit C. Formula terpilih memenuhi 6,9% energi terhadap AKG lansia laki-laki, sedangkan terhadap AKG lansia perempuan memberikan kontribusi 8,0% energi. Formula terpilih memenuhi syarat klaim sebagai pangan tinggi protein., The elderly are vulnerable to health problems such as impaired cognitive function and lack of body resistance. Soybean tempeh contains vitamin B12 which plays a role in cognitive function. Meanwhile, Centella asiatica is a strong antioxidant that can increase the body's resistance. This research aims to analyze the organoleptic properties, nutritional content, and antioxidant activity of instant cream soup products made from soybean tempe flour and Centella asiatica as an alternative food for the elderly. The design of this research is an experimental study with a Completely Randomized Design (CRD). Based on the results of the organoleptic test, F3 was determined as the best formula with a water content of 2.99%; ash content of 4.41%; fat content of 9.72%; protein content of 21.41%; carbohydrate content of 60.29%, vitamin B12 content of 0.08 μg, and antioxidant activity (IC50) at a concentration of 2514 ppm and equivalent to 15.81 mg of vitamin C. The selected formula contributes 6.9% energy against the RDA for elderly men, while the RDA for elderly women contributes 8.0% of energy. The selected formula meets the claim requirements as a high-protein food.
Keyword: Centella asiatica, elderly, instant cream soup, soybean tempeh flour

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