In the past, the problem of uniform random generation of combinatorial structures, that is the problem of randomly generating objects (of a preliminary fixed input size) of a specified class that have the same or similar properties, has been extensively studied.
Although assumptions (a) – (d) might appear restrictive, the specified class of reactions is generic and encompasses the standard equations used in the modelling of genetic and regulatory networks, the cellular circuits where stochasticity is most significant.
Transformation of entities is the default category for Reactome events, i.e. all reactions are considered to be transformations unless they can be assigned to another specified class of reaction.
As indicated in the passage above, Descartes establishes in Book Two that Pappus curves fall into the specified classes of geometric curves he has designated, where the class into which a Pappus curve falls depends on the number of lines given in the problem and thus, on the degree of the equation to which the problem is reduced.
This enables application builders to develop new programs, usually for specified classes of applications.
Each sample in the specified class is assigned the maximum of these gene averages for its value of the perfect-feature gene, and each sample not in the specified class is assigned the minimum of the averages.
Currently, education is measured by completing a specified number of classes, in person or online, and a set of uniform assignments.
The k-means method is useful to cluster proteins into a specified number of classes based on the similarity of temporal profiles.
Under the system of royal privileges begun by Henry VIII, a printer was sometimes given the sole right to print and sell a particular book or class of books for a specified number of years, to enable him to recoup his outlay.
