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MDL Crossfire Beilstein database; we stress that although Beilstein has data on numerous man-made polymers, it is not a comprehensive repository of biological polymers (proteins, DNA).
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max corresponds to the distribution maximum.
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27844560110
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μ) = 1.
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27844498703
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note
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This is unlike the pure Kesten process, in which the old distribution is discarded after each iteration.
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33
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27844578686
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note
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The values of the effective multiplicative (a = 0.67) and additive (b = 179.94) coefficients are commensurate with those derived from the stochastic master equation, (Formula Presented).
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34
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These observations can also be understood in terms of combinatorial considerations and reflect the fact that 1) on one hand, there are relatively few combinations of atoms that give rise to structures of low molecular mass. It can be readily estimated that the possible numbers of molecules of mass m increase roughly exponentially with m. 2) On the other hand, when two large molecules are "stitched" together, there are many possible combinations (orientations) of doing so and achieving a selective, high-yield synthesis is problematic.
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27844563596
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Details of an example for combinatorial chemistry, a discussion of the network wiring scheme, and details of the Beilstein Database are given in the Supporting Information.
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