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Only if the free-atom recoil energy is small compared to the characteristic lattice vibration energy will there be a finite probability that momentum conservation is satisfied by the recoil of the crystal as a whole with negligible loss of energy.
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However, for certain changes in the quantum numbers, summarized as selection rules, there is a finite probability.
But even worse, as there is a finite probability that the variance of this process is below any bound, a fixed step-size is then too large for these runs to become stable.
I suppose there is a finite probability that I have got it wrong, and there is another explanation.
First, by picking a large number of scientists at random, as we did, there is a finite probability to choose also outstanding scholars.
Therefore, in the deterministic model defined in Eq. (1), once the system reaches an attractor, it remains there for all subsequent iterations; however, if noise is introduced into the logical rules, there is a finite probability for the system to "jump" from one basin of attraction to another.
Therefore, during the deposition of Parylene on the surface of C60, there is a finite probability that Parylene monomers may react with C60 instead of polymerizing with each other.
There is a finite probability that multiple plants have the same multilocus genotypes, through chance or relatedness, which could result in erroneously assigned insertions when the inflorescence and pollinium have the same genotype.
The connection with disjoint subnets is established by noting that a non-zero element (i, j) in a particular block of the truncated DAG means that there is a finite probability, and hence a path through the network from source node i to sink node j in the same block.
Even with high binding affinities, however, there is a finite probability that individual oligomers will, from time to time, escape such protective mechanisms and interact with cells to initiate the cascade of calcium influx, ROS production, and caspase-3 activation in astrocytes and neurons on a local cellular level, resulting in altered synaptic function.
Nonetheless, there is always a finite probability that the target structure is lost due to population fluctuations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com