Judul: Antioxidant Activity of Apis cerana Multiflora  Honey Fraction and its Potential as Facial Serum
Abstrak: Apis cerana merupakan salah satu lebah penghasil madu asal Asia yang banyak dibudidayakan di Indonesia. Madu Apis cerana telah banyak diteliti memiliki aktivitas antioksidan. Penelitian ini bertujuan menganalisis aktivitas antioksidan sediaan serum wajah dari fraksi madu multiflora Apis cerana. Madu difraksinasi dengan corong pisah menggunakan pelarut akuades, n-heksana, dan etil asetat. Fraksi kemudian dilakukan pengukuran total fenolik, flavonoid, antioksidan DPPH (2,2-difenil-1-pikrilhidrazil), AEAC (Ascorbic acid Equivalent Antioxidant Capacity), dan PFRAP (Potassium Ferric Reducing Power). Hasil penelitian menunjukkan fraksi etil asetat merupakan sampel terbaik berdasarkan total fenolik (1972 ± 62,8 mg GAE/kg sampel), total flavonoid (1904,8 ± 9,2 mg QE/kg sampel), antioksidan DPPH IC50 (49204,1 ± 2763,6 mg/mL), AEAC (251,50 ± 8,83 mg AEAC/kg sampel) dan PFRAP (2445,6 ± 82,8 mg AAE/kg sampel). Fraksi etil asetat dipilih untuk diformulasikan menjadi serum wajah berdasarkan IC50. Serum wajah berhasil diformulasikan dan memiliki aktivitas antioksidan DPPH %inhibisi 15,84 ±1,27% serta antioksidan PFRAP 0,697 ± 0,049 AU., Apis cerana is one of the honey-producing bee from Asia that widely cultivated in Indonesia. Apis cerana honey has been researched for its antioxidant activity. This study aims to analyze the antioxidant activity of facial serum made from fraction of Apis cerana multiflora honey. Honey was fractionated using distilled water, n-hexane, and ethyl acetate in a split funnel. The fractions were then evaluated for total phenolic content, flavonoid content, DPPH antioxidant activity (2,2-diphenyl-1-picrylhydrazyl), AEAC antioxidant (Ascorbic Acid Equivalent Antioxidant Capacity), and PFRAP antioxidant (Potassium Ferric Reducing Ability of Plasma). The results indicated that the ethyl acetate fraction was the most effective based on total phenolic content (1972 ± 62,8 mg GAE/kg sample), total flavonoid content (1904,8 ± 9,2 mg QE/kg sample), DPPH antioxidant IC50 (49204,1 ± 2763,6 mg/mL), AEAC (251,50 ± 8,83 mg AEAC/kg sample), and PFRAP (2445,6 ± 82,8 mg AAE/kg sample). The ethyl acetate fraction was selected for formulating the facial serum based on its IC50 value. The facial serum was successfully formulated and demonstrated DPPH antioxidant 15,84 ± 1,27% inhibition and PFRAP antioxidant activity 0,697 ± 0,049 AU.
Keyword: antioxidant, honey, serum, fractionation, formulation

Judul: Physicochemical Properties and Antioxidant Activities Multiflora Honey from Kerinci Regency Jambi
Abstrak: Madu merupakan cairan kental yang dihasilkan oleh lebah madu (Apis sp.) dari nektar bunga atau bagian tanaman lainnya. Penelitian ini bertujuan menganalisis sifat fisikokimia dan aktivitas antioksidan madu multiflora (madu hutan Apis dorsata) dan (madu budidaya Apis cerana) dari Kabupaten Kerinci, Jambi. Sifat fisikokimia yang dianalisis adalah warna, pH, viskositas, kadar air, kadar abu, kadar gula, kadar HMF, keasaman, dan aktivitas antioksidan. Hasil penelitian menunjukkan bahwa madu hutan berwarna Light Amber, sedangkan madu budidaya berwarna Extra Light Amber. Kualitas madu hutan yang memenuhi SNI 01-3545-2013 adalah pH, viskositas, kadar air, kadar gula, kadar HMF, dan keasaman, namun memiliki kadar abu yang melebihi batas SNI 01- 3545-2013. Madu budidaya memiliki pH, kadar gula, dan kadar HMF yang memenuhi SNI 01-3545-2013, namun memiliki viskositas, kadar air, kadar abu, dan keasaman yang belum memenuhi SNI 01-3545-2013. Madu hutan dan madu budidaya memiliki kapasitas antioksidan masing-masing sebesar 16,74 mgVCE/g dan 16,60 mgVCE/g, sedangkan aktivitas antioksidannya berturut-turut adalah 63,80% dan 63,28%, Honey is a thick liquid produced by honey bees (Apis sp.) from flower nectar or other parts of plants. This study aims to examine the physicochemical properties and antioxidant activities of multifloral honey (Apis dorsata forest honey) and (Apis cerana cultivated honey) from Kerinci, Jambi. The analysed physicochemical properties were colour, pH, viscosity, water content, ash content, sugar content, HMF content, acidity and antioxidant activity. The results showed that forest honey has Light Amber colour while cultivated honey has Extra Light Amber colour. The quality of forest honey that meet SNI 01-3545-2013 is pH, viscosity, water content, ash content, sugar content, HMF content, and acidity, however the ash content exceeded SNI 01-3545-2013. Cultivated honey has pH, sugar content, and HMF content is which meet the SNI 01-3545-2013, however the viscosity, water content, ash content, and acidity was that didn't meet SNI 01- 3545-2013. Forest honey and cultivated honey have antioxidant capacities of 16,74 mgVCE/g and 16,60 mgVCE/g, meanwhile the antioxidant activity were 63,80% and 63,28%.
Keyword: antioxidant activities, cultivated honey, forest honey, multifloral honey, physicochemical properties

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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