Judul: Formulasi Minuman Fungsional Berbasis Rumput Laut (Kappaphycus alvarezii) dengan Penambahan Pewarna Alami
Abstrak: The functional drink of seaweed jelly is digestive health because high fiber content, but still a lot of use of synthetic colorants. Improved quality with natural colorant roselle, curcuma and beet is a new alternative that is very important. The results showed higher concentrations of natural colorant are added, the higher the antioxidant content of existing, respectively 1153.080; 537.400, and 409.040 ppm. The dietary fiber content is 1.93; 1.88; 1.93%.
Keyword: beet, curcumae, roselle, digestive health, antioxidants

Judul: High Fiber Powder Drink Formulation based on Sargassum sp., Ipomoea batatas, and Seaweed Salt
Abstrak: Rumput laut Sargassum sp., ubi ungu dan jahe merah sudah dikombinasikan menjadi produk minuman serbuk tinggi serat. Formulasi yang digunakan masih dapat dikembangkan dan belum diuji nilai fungsionalnya. Penelitian ini bertujuan menentukan formulasi terbaik serta menganalisis pengaruh penambahan garam rumput laut terhadap serat pangan, mineral, aktivitas air, abu tidak larut asam, logam berat, dan aktivitas antioksidan. Tahapan penelitian ini yaitu pembuatan serbuk, penentuan formulasi terbaik, dan uji lanjutan. Perbedaan formula bahan baku berpengaruh terhadap warna, aroma, rasa, aftertaste, dan proksimat. Hasil uji serat pangan F1 dan F4 sebagai formulasi terbaik yaitu serat larut air 5,06–5,14%, serta serat tidak larut air 20,09–22,62%. Mineral yang terkandung yaitu kalsium 6,53–7,35 mg/g, kalium 7,41–9,075 mg/g, magnesium 3,16–3,28 mg/g, natrium 1,95–6,32 mg/g, dan besi 0,07 mg/g. Aktivitas air produk sebesar 0,29 dan abu tidak larut asam 0,15–0,20%. Senyawa fitokimia yang terkandung yaitu alkaloid, flavonoid, triterpenoid, fenol, tanin dan glikosida. Nilai aktivitas antioksidannya sebesar 86,708 μmol troloks/g (F1) dan 87,499 μmol troloks/g (F4)., Sargassum sp., purple sweet potato and red ginger have been combined into a high-fiber powder drink product. Existing formulation can still be developed and the functional value has not been tested. This research was aimed to determine the best formulation of powdered drink and analyze the effect of adding seaweed salt to dietary fiber, minerals, water activity, acid insoluble ash, heavy metals, and antioxidant activity. The phases of this research were making powder, determining the best formulation, and further testing. Differences in the formula of raw materials affect the color, aroma, taste, aftertaste, and proximate. The results of the F1 and F4 dietary fiber test as the best formulations were soluble fiber 5.06–5.14%, and insoluble fiber 20.09–22.62%. The minerals contained were calcium 6.53–7.35 mg/g, potassium 7.41–9.075 mg/g, magnesium 3.16–3.28 mg/g, sodium 1.95–6.32 mg/g, and 0.07 mg/g iron. The water activity of the product was 0.29 and the acid insoluble ash was 0.15–0.20%. Phytochemical compounds contained in the product were alkaloids, flavonoids, triterpenoids, phenols, tannins, and glycosides. The antioxidant activity values were 86,708 μmol trolox/g (F1) and 87,499 μmol trolox/g (F4).
Keyword: antioksidan, jahe merah, karbohidrat, mineral, serat pangan

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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