Judul: Pematahan Dormansi Benih Bintaro (Cerbera manghas Linn.)
Abstrak: The process of bintaro (Cerbera manghas Linn.) seed germination require a long time because it has a type of mechanical dormancy. Preliminary treatment needs to be done seeds dormancy breaking one of the way is by soaking the fruit or the seeds into the water. The purpose of this research is to determine effect of peeling the rind treatment and the time length of soaking bintaro fruit toward seeds germination, and to determine the seeds soaking time length toward the germination of Bintaro seeds. The result of this research shows that peeling the rind and the interaction between peeling the rind with fruits soaking time length does not have a real effect toward the germination parameters of bintaro fruits, on the other hands time length of soaking bintaro fruit give significant effect to germination potential and germination value, as well as very significantly effect to germination rate and growth speed. The optimum time length of soaking the bintaro fruit in dormancy breaking is 3 weeks. The time length of seed soaking give significant effect to germination potential, germination rate and germination value. The optimum time length of soaking bintaro seeds in seeds dormancy is 6 hours. Seed germination of bintaro can be done by soaking bintaro fruit into the water for 3 weeks before, or by soaking seeds into the water for 6 hours.
Keyword: seeds dormancy, pretreatment, germination parameters, Cerbera manghas

Judul: Pematahan Dormansi Benih Kelapa Sawit (Elaeis guineensis Jacq) dengan Perendaman dalam Air Panas dan Giberelin
Abstrak: This research was conducted at Seed Processing Unit PT Astra Agro Lestari Tbk, Pangkalan Bun, Central Borneo on May-August 2014. The purpose of this research was to study dormancy breaking methods of oil palm seeds by hot water soaking and gibberellin application. The experiment was arranged in a completely randomized design with two factors. The first factor was water soaking intensity, consisted of five levels (seeds were soaked in water at 26 ˚C for 7 days [P0], seeds were soaked in 80˚C hot water for 3x24 hours [P1], P1 + water at 26 ˚C for 2 days [P2], P1 + water at 26 ˚C for 4 days [P3], dan P1 + water at 26 ˚C for 6 days [P4]). The second factor was soaking in gibberellin (0, 50, and 100 ppm) after water soaking treatment. The result showed that gibberellin application did not give significant effect on germination of oil palm seed. Seeds of crossing number 2 which was soaked in hot water for 3x24 hours (P1) or seeds of crossing number 5 which was soaked in hot water for 3x24 hours then in water at 26 ˚C for 6 days (P4) were considered as the best treatments with average germination of 41% and 41.6%. However, the percentage of seeds attacked by fungi in treatment P4 was higher (2.3-2.7%) compared to P1 (0-0.7%). Total time required for dormancy breaking and germination by soaking in hot water was faster (46 days) than conventional method (113 days). However, germination percentage of oil palm seeds soaked in hot water was still low (42%), compared to the conventional method (74.7%).
Keyword: breaking dormancy time, conventional method, germination, soaking intensity

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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