New PDF release: A Simple Gamma Random Number Generator for Arbitrary Shape

By Tanizaki H.

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Degraded products of the polymer, which are consisted of stereoisomers of 1,3,5and 1,2,4-triphenylbenzenes. Because most of the polymer had been decomposed in the presence of CF3COOH, the contents of the 1,3,5- and 1,2,4-triphenylbenzenes represent those of 1,3,5- and 1,2,4-substituted phenylene structures in the polymer. From the 1H NMR spectrum of the decomposition product of the soluble hb-P1 (Fig. 5A), the contents of 1,3,5- and 1,2,4-triphenylbenzenes are calculated from equation 1. 2. 2 in hb-P1.

0 ϫ 10−5 mol/L), λmax(nm)/␧max(mol−1 L cm−1): 231/18742, 260/33416. iii. hb-P3 White powder. 5 (GPC, Table 2, entry 7). IR (thin film), ν (cm−1): 3295 (ϵC–H stretching), 3067, 3016 (Ar–H stretching), 1594 (–C෇C– ring stretching), 1428, 1110 (Si–Ph stretching), 699 (Ar–H bending). 20 (ϵC–H). 5 (–CϵCH). 0 ϫ 10−5 mol/L), λmax(nm)/␧max(mol−1 L cm−1): 230/23940, 261/36196. iv. hb-P4 White powder. Yield: 99%. 4 (GPC, Table 2, entry 9). qxd 3/9/2005 34 1:14 PM Page 34 Hyperbranched Poly(silylenearylene)s (–C෇C– ring stretching), 1382 (CH3 bending), 1251 (Si–CH3 bending), 831 (Si–C stretching), 809 (Ar–H bending).

Xu, H. C. Zhang, L. Pu, Macromolecules 36, 2689 (2003). 5. J. Hao, M. Jikei, M. Kakimoto, Macromolecules 36, 3519 (2003). 6. K. Y. Son, Macromolecules 32, 5210 (1999). 7. G. Kwak, T. Masuda, Macromol. Rapid Commun. 23, 68 (2002). 8. M. Oishi, M. Minakawa, I. Imae, Y. Kawakami, Macromolecules 35, 4938 (2002). 9. Q. Sun, K. Xu, H. Peng, R. Zheng, M. Häußler, B. Z. Tang, Macromolecules 36, 2309 (2003). 10. M. Häußler, J. W. Y. Lam, E. Zheng, H. Peng, J. Luo, J. Chen, C. C. W. Law, B. Z. Tang, C. R.

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A Simple Gamma Random Number Generator for Arbitrary Shape Parameters by Tanizaki H.


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