Judul: Pengembangan Produk Minuman Jeli Ekstrak Daun Hantap (Sterculia oblongata R. Brown) sebagai Alternatif Pangan Fungsional
Abstrak: The objective of this study was to develop a jelly drink product based on hantap leaves extract as an alternative of functional food. Completed Randomize Nested Design with two factor (The type and level of concentration of the gelling agent) was applied in this study and resulted in nine formulas. The selected jelly drink formula was determined by preference test using semitrained panelists. Jelly drink with the addition of a gelling agent carrageenan with a concentration level of 0.20% and melon flavor was preferred by 86% panelist. This formula contained 87.37% water ,0.18% ash, 0.10% protein, 0 .04% fat, 12.3% carbohidrate, 2.08% fiber, 10.6 mg/100g total phenols, 0.68 mg/100g vitamin C and antioxidant activity 20.92 % with IC50 values is 464.02μL. With its bioactive component and fiber content, this product may be classified as functional food which may help improving consumer health.
Keyword: jelly drink., hantap leaves, functional food, fiber, antioxidants

Judul: Formulasi Jelly Drink Ekstrak Daun Pohpohan (Pilea trinervia W.) sebagai Alternatif Pangan Fungsional
Abstrak: Pohpohan (Pilea trinervia W.) merupakan salah satu jenis sayuran lokal yang banyak tumbuh di Jawa Barat. Daun pohpohan mengandung zat gizi dan senyawa bioaktif berupa fenol, antioksidan, dan senyawa lainnya sehingga berpotensi untuk dijadikan pangan fungsional. Penelitian ini bertujuan menyusun formulasi jelly drink dari ekstrak daun pohpohan (Pilea trinervia W.), menganalisis sifat organoleptik dan sifat kimia formula jelly drink, menentukan formula terbaik, dan menganalisis sifat fisikokimia formula terbaik. Rancangan percobaan yang digunakan adalah Rancangan Acak Lengkap (RAL) dengan perlakuan berupa perbedaan konsentrasi ekstrak daun pohpohan yang terdiri dari tiga taraf (50% v/v, 75% v/v, 100% v/v). Formula terbaik ditentukan berdasarkan metode perbandingan eksponensial (MPE) dengan kriteria keputusan berupa hasil uji organoleptik (nilai kesukaan dan total penerimaan) dan hasil analisis sifat kimia (aktivitas antioksidan, total fenol, dan serat pangan). Jelly drink dengan penambahan 75% v/v ekstrak daun pohpohan terpilih sebagai formula terbaik dengan nilai kesukaan sebesar 5.33 (agak suka sampai suka), persentase penerimaan 67.75% (penerimaan sedang), aktivitas antioksidan 0.87 mg Ascorbic acid Equivalent Antioxidant Capacity (AEAC)/100 g, total fenol 16.84 mg Gallic Acid Equivalent (GAE)/100 g, dan serat pangan total 0.62%. Berdasarkan hasil analisis fisikokimia, formula terbaik memiliki kekuatan gel sebesar 14.28 g/mm2, aktivitas air (Aw) 0.97, pH 6.43, kadar air 87.01% (bb), abu 0.20% (bb), lemak 0.33% (bb), protein 0.08% (bb), karbohidrat 12.38% (bb), dan kalsium 23.83% (bb).
Keyword: antioksidan, jelly drink, pangan fungsional, Pilea trinervia W., pohpohan

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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