Judul: Modifikasi Pati Garut (Maranta arundinaceae L.) dengan Hidrolisis Asam, Siklus Autoclaving-Cooling, dan Heat Moisture Treatment (HMT) untuk Menghasilkan Pati Resisten Tipe III (RS3)
Abstrak: Arrowroot starch has potential as raw material to produce resistant starch. Like other sources of starch, arrowroot starch naturally has low resistant starch content. Modification treatment of arrowroot starch for increasing resistant starch content in this research are acid hydrolysis, threeautoclaving- cooling-cycles, and HMT using heated for 15 minutes (HMT15’) and 60 minutes (HMT60’). The objectives of this research are to study the increased of resistant starch, amylose content and reducing sugar content, and also the decreased of starch digestibillity and total starch; to obtain modification method of arrowroot starch (acid hydrolysis, threeautoclaving- cooling-cycles, HMT, and or combination of acid hydrolysis, three-autoclaving-cooling-cycles, and HMT) for producing the highest resistant starch content; and also to obtain the best heat time of HMT between 15 minutes and 60 minutes at 1210C for increasing resistant starch content. Arrowroot starch modification by using combination of acid hydrolysis method, three autoclaving-cooling cycles, and HMT using heated for 60 minutes increased resistant starch content (from 2.15% to 29.63%), amylose content (from 24.50% to 35.83%), and reducing sugar (from 4.92% to 10.20%), and also decreased both starch digestibility (from 84.92% to 54.12%) and total starch content (from 98.10% to 71.28%). Treatment in arrowroot starch modified by using acid hydrolysis method, threeautoclaving- cooling-cycles and HMT60 minutes (HAAC-HMT60’) increased resistant starch content until 14 times fold compared to native arrowroot starch. That combination of treatment (HAAC-HMT60’) has been proven significantly (P<0.05) to increase resistant starch, amylose content, reducing sugar content and also decrease both starch digestibility and total starch from modified arrowroot starch.
Keyword: Bogor Agricultural University, Amylose Content, HMT, Reducing Sugar, Resistant Starch, Starch Digestibility, Total Starch.

Judul: Modifikasi Pati Garut (Marantha Arundinaceae L.) Dengan Asam, Enzim, Dan Perlakuan Fisik Untuk Memproduksi Pati Resisten Tipe 3 (Rs 3).
Abstrak: Pati Resiten (RS) adalah pati yang tidak dapat dicerna oleh enzim di dalam usus halus manusia, namun dapat difermentasi oleh mikroflora dalam usus besar dan memberikan dampak positif bagi kesehatan. Tujuan penelitian ini adalah untuk melihat efek hidrolisis asam (lintnerization) (HA), debranching, autoclavingcooling (AC), heat moisture treatment (HMT) dan kombinasinya untuk memproduksi RS 3 pada pati garut. Metode yang dilakukan dalam penelitian ini adalah hidrolisis asam pati garut alami (NA) dalam larutan HCl 2.2 N selama 2 jam, dilanjutkan dengan AC (autoklaf 121 oC 15 menit, cooling pada 4 oC 24 jam). Setelah itu, sampel dihidrolisis dengan enzim pullulanase (10.4 U/g pati, 16 jam) (debranching) dan AC lagi selama 2 siklus (HADAC). Sampel yang telah mengalami perlakuan modifikasi HADAC diberi perlakuan HMT (suhu 121 oC, kadar air 20%) selama 15 menit (HADAC-HMT15’) dan 60 menit (HADACHMT60’). Pengaruh kombinasi perlakuan ini dapat meningkatkan kadar pati resisten dari 2.15% (NA) menjadi 17 kali lipatnya, yaitu 36.30% pada perlakuan HADAC, lalu meningkat lagi ke 52.59% (HADAC-HMT15’) dan 54.11 % (HADAC-HMT60’). Kadar amilosa juga meningkat dari 50.84% ke 57.74% (HADAC ke HADAC-HMT60’). Sementara itu, daya cerna pati dan jumlah gula pereduksi sampel menurun dari 44.94% ke 24.22% dan 13.23% ke 5.53% (HADAC ke HADAC-HMT60’).
Keyword: acid hydrolisis, debranching, heat moisture treatment (hmt), resistant starch, starch digestibility

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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