Judul: Efek Sinergis Taurin Lintah Laut (Discodoris sp.) dan Temulawak (Curcuma xanthorriza Roxb.) dalam Serbuk Minuman Fungsional
Abstrak: Aquatic resources such as sea slug (Discodoris sp.) can be made into functional beverages. Sea slug has been reported to possess antioxidant properties which allege that the functional drink made from sea slug contains taurine. The study was conducted into 3 phases: 1 )preparation of raw materials (Discodoris sp.) 2) preparation of additional ingredients (ginger, curcuma and lemon) 3) formulation of the functional beverage product. The aim of the study were 1) to determine the concentration of raw materials composition by considering the synergistic effect of taurine on the functional beverage, 2)to determine the effect of the preparation of functional beverage powders on total taurine, 3)to determine the effect of storage on taurine content functional beverage powders sea slug. Three best formula which physically acceptable:T1 formula (Discodoris sp. 20%, ginger 40%, curcuma 20%, lemon 20%),T2 Formula (Discodoris sp. 25%, ginger 40%, curcuma 15%, lemon 20%), and T3 Formula (Discodoris sp. 30%, ginger 40%, curcuma 10%, lemon 20%). Addition of sea slug, ginger, curcuma and lemon in formulation caused a synergistic effect on taurine content. The length of storage decreased the amount of taurine in the functional beverage powders sea slug.
Keyword: 

Judul: Formulasi dan Kestabilan Minuman Fungsional Berbasis Rumput Laut Cokelat (Sargassum sp.), Bunga Telang, dan Kayu Secang
Abstrak: Minuman rumput laut yang banyak diteliti sebelumnya hanya mengandung satu unsur rumput laut dan belum menggunakan tambahan rempah lokal. Manfaat kesehatan dan senyawa bioaktif pada Sargassum sp., bunga telang dan kayu secang berpotensi untuk dijadikan sebagai minuman fungsional ready to drink. Penelitian bertujuan untuk mendapatkan formula minuman fungsional berbasis Sargassum sp., bunga telang, dan kayu secang, sehingga didapatkan formula minuman yang mengandung antioksidan dan memiliki penerimaan sensori yang baik, serta memprediksi stabilitas minuman selama penyimpanan. Tahapan penelitian terdiri dari formulasi minuman fungsional dan pengujian kestabilan mutu. Hasil uji hedonik menunjukkan perlakuan komposisi Sargassum sp. berpengaruh nyata terhadap kesukaan panelis pada parameter rasa dan aroma. Formula F1 (jahe) memiliki tingkat penerimaan tertinggi dari panelis. Formula F1 memiliki nilai aktivitas antioksidan sebesar 9,93 ppm. Penyimpanan pada suhu ruang dan suhu chilling serta penambahan natrium benzoat dan natrium metabisulfit berpengaruh terhadap kestabilan mutu minuman fungsional selama penyimpanan., The seaweed drink that has been studied previously only possesses one element of seaweed and has not used additional local spices. The health benefits and bioactive compounds in Sargassum sp., butterfly pea flower, and secang wood have the potential to be mixed as ready-to-drink functional drinks. The study aimed to develop a mix-functional drink formula based on Sargassum sp., butterfly pea flower, and sappan wood, to obtain a drink formula that contains antioxidants and has good sensory acceptance, and evaluate the stability of the drink during storage. The stages of the research consisted of making functional drink formulations and analyzing quality stability. The hedonic test results showed that the composition of Sargassum sp. had a significant effect on the preference of panelists on the parameters of taste and aroma. F1 Formula (ginger) has the highest acceptance rate from the panelists. F1 formula had an antioxidant activity value of 9.93 ppm. Storage condition at room temperature and chilling temperature and the addition of sodium benzoate and sodium metabisulfite affected the stability of the quality of functional drinks during storage.
Keyword: antioxidant, formula, functional drink, Sargassum sp.

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
Keyword: