Judul: Formulasi Minuman Fungsional Instan Berbasis Pegagan (Centella asiatica) dengan Potensi sebagai Antihiperurisemia
Abstrak: Hyperuricemia is one of metabolic diseases characterized by high level of uric acid in blood. The objective this research was formulating of functional drink which is potential as antihyperuricemia based on gotu kola (Centella asiatica) with java tea (Orthosiphon arustatus), ginger (Zingiber officinale), and cinnamon (Cinnamomum burmanii) as adjunct ingredients. Formulas were made based on maximum and minimum acceptance level by Focus Group Discussion (FGD). F2 and F3 were preferred flavor (neutral to slightly like), and they had 63.63 % and 81.82 % ability of xanthine oxidase inhibition on a dilution factor five times. The optimum formula, which formulated by Mixture Experiment method with Historical Data design, using Design Expert 7.0 software, was the mixture of a % of gotu kola, b % of java tea, c % of ginger, and d % of cinnamon, had 2 240.68 ppm GAE of total phenol, 39 611.7 ppm AEAC of antioxidant, with 100% desirability. Inhibitory activity for optimum formula was calculated by extrapolation method from total phenol comparison, resulted 100 % of xanthine oxidase inhibition activity. This proves that instant drink based on gotu kola has the potential to be developed into an antihyperuricemia functional drink
Keyword: xanthine oxidase, Centella asiatica, gotu kola, hyperuricemia, functional beverage

Judul: Optimasi Pembuatan Minuman Fungsional Berbasis Ekstrak Daun Kumis Kucing (Orthosiphon aristatus BI. Miq) pada Skala Pilot Plant
Abstrak: Functional drink based on java tea extract is a complex drink that contains several herbal extracts and spices. The ingredients are java tea, sappan wood, ginger, turmeric, citrus, keffir lime, lemon. Several researches have been done to get the balance benefit through consumer organoleptic-acceptance. The development of further research is production of functional drink on pilot plant scale. Production on the pilot plant scale needs adjustment of formulation and process condition as a critical parameters to get the optimal quality product. Financial analysis is also important to do for giving a project bussiness overview. The research was conducted in two stages. The first stage was determined of critical parameters of functional drink production on pilot plant scale. The second stage was functional drink production with four factor combination that has been attempted as critical parameters: concentration of citrus, keffir lime, lemon, and water temperature that added into the formula. Optimization of formula and process condition were developed using response surface methodology (RSM) with Design Expert® 7 software. The measured responses are color (L and Hue), organoleptic (color, taste, aroma, and overall), and phytochemical (antioxidant activity and total phenol). Antihiperglicemic activity (inhibition α-glucosidase) was measured at verification stage. Optimum formula obtained was x% concentration of citrus, keffir lime y%, z% lemon juice and water temperature was added at D0C as optimum process condition. The verification results showed the total value of total phenol at 841.1 ppm GAE and antioxidant activity at 709 ppm AEAC. Organoleptic acceptability (scale 7) were color between slightly like and like (5.3), aroma between slightly like and like (5.1), taste between fair and slightly like (4.9), and overall between slightly like and like (5.3). Objective-color analysis showed L 55.31 and Hue 85.81 (yellow red). The antihyperglicemic activity (inhibition α-glucosidase) was at 77.75%. Equality of product characteristic would be obtained if extraction condition, formula and process condition were similar with this research Financial analysis of functional drink stated that the project was feasible to run. Feasibility of this project were net present value Rp. 203 565 151, internal rate ratio 20%, net benefit/cost 1.49%, payback periode for 2.46 years and break even point 81 476 unit.
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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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