Judul: Formulasi Permen Keras Bandrek dan Minuman Instan Bandrek dengan Substitusi Gula Semut Kelapa di Posdaya Mekarsari Desa Sinarsari Dramaga, Kabupaten Bogor
Abstrak: Bandrek is one of Indonesia traditional beverages. Bandrek is made from red ginger (Zingiber officinale var rubrum) and other spices such as cinnamon (Cinnamomum burmanii), clove (Eugenia aromaticum), nutmeg (Myristica fragans), cardamom (Anomum compactum), black pepper (Piper ningrum L)., and chili Java (Piper retrofractum Vahl.). The research aims to get a formulation of bandrek instant drink and hard candy bandrek and to evaluate its chemical composition. Formulation for bandrek instant drink based on sensory evaluation is 50 ml ginger extract, 50 ml spices extract, 200 gram white sugar and 400 gram granulated coconut sugar. Formulation for hard candy bandrek is 10 ml ginger extract, 15 ml spices extract, 60 gram white sugar, 10 gram granulated coconut sugar and 30 gram glucose syrup. There was no difference between bandrek instant drink with granulated coconut sugar and bandrek instant drink with brown palm sugar based on sensory evaluation. Hard candy bandrek had 1.37% moisture content and 0.36% ash content and include in SNI kembang gula.
Keyword: brown palm sugar, granulated coconut sugar, hard candy, bandrek instant drink

Judul: Palm Creamer Bandrek Drink Formulation at PT Liza Herbal International.
Abstrak: Bandrek yang diproduksi oleh PT Liza Herbal Internasional dengan merek dagang “Starbandrek” mengalami penurunan penjualan. Permasalahan ini merujuk pada teori product life cycle yaitu tahap decline. Oleh sebab itu, dilakukan pengembangan inovasi produk sejenis untuk memperpanjang daur hidup produk. Bandrek Sigeulis merupakan serbuk minuman bandrek yang terbuat dari jahe merah, cabai jawa, kayu manis, dan cengkih. Bahan tambahan yang dapat meningkatkan nilai tambah dan keunikan bandrek yaitu non dairy creamer sawit. Metode yang digunakan yaitu metode kuantitatif. Penelitian dibagi menjadi beberapa fase, yaitu fase eksplorasi, fase pendefinisian masalah, fase ideasi, fase pengembangan prototipe serta fase validasi. Formula minuman bandrek yang diperoleh dari uji organoleptik adalah 50 gram jahe, 8 gram rempah, 40 gram gula pasir, penambahan gula aren sebanyak 13% dan penambahan krimer sebanyak 6,45%. Bandrek krimer memiliki kadar air 1,01% dan kadar abu 1,01% sesuai dengan SNI serbuk minuman tradisional. Hasil penelitian berhasil menghasilkan formula terbaik dengan kemasan baru yang lebih disukai konsumen, proses produksi yang efisien, tata letak produksi yang efisien, dan hasil analisis usaha bandrek krimer yang dinilai layak berdasarkan aspek finansial karena memiliki B/C ratio > 1., Bandrek produced by PT Liza Herbal Internasional with the trademark “Starbandrek” experienced a decline in sales. This problem refers to the product life cycle theory, namely the decline stage. Therefore, the development of similar product innovations is carried out to extend the product life cycle. Bandrek Sigeulis is a bandrek drink made from red ginger, Javanese chili, cinnamon, and cloves. Additional ingredients that can increase the added value and uniqueness of bandrek are palm non dairy creamer. The method used is quantitative method. The research is divided into several phases, namely the exploration phase, the problem definition phase, the ideation phase, the prototype development phase and the validation phase. The bandrek drink formula obtained from the organoleptic test is 50 grams of ginger, 8 grams of spices, 40 grams of granulated sugar, the addition of 13% palm sugar and the addition of 6.45% creamer. Bandrek creamer has a water content of 1.01% and an ash content of 1.01% in accordance with the SNI for traditional beverage powders. The results of the research succeeded in producing the best formula with new packaging that is preferred by consumers, an efficient production process, an efficient production layout, and the results of an analysis of the creamer bandrek business which were considered feasible based on the financial aspect because it has a B/C ratio > 1.
Keyword: bandrek, formulation, herbs, non dairy creamer, herbal, formulasi

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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