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Revision Browser : category of molecular reactions
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view 'category of molecular reactions
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2009-05-31 19:50:24
- revision [
Version = 2
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Version 3
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by
bci1
In general, \emph{molecular sets} $M_S$ are defined as finite sets whose elements are \emph{molecules} defined in terms of their molecular observables that are specified next. One need to define first the concept of a molecular class variable. A \emph{molecular class variable}, or $m.c.v$ is defined as a family of molecular sets $[M_S]_{i \in I},$ with $I$ being an indexing set, or class, defining the \emph{molecular range of variation} of the $m.c.v$. Most applications in Physics, Chemistry or Biochemistry require that $I$ is a finite set, (that is, without any sub-classes). A \emph{homomorphism of molecular sets} $M_t: M_S \to M_S$, with $t \in T$ being real time values, is defined as a time-dependent mapping or function $M_S (t)$ also called a $M_t$ \emph{molecular transformation}.
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