The phrase "a given complex" is correct and usable in written English.
It can be used in contexts where you are referring to a specific complex or set of elements that have been previously identified or defined.
Example: "In our analysis, we will focus on a given complex of variables that influence the outcome of the experiment."
Alternatives: "a specific complex" or "a particular complex".
The delineation of (invariant) functional modes and (varying) operational signals σ(t), however, allows for the quantification of the (operational) influence required for a given (complex) behavioral process as well as the functional mode's complexity (see below).
Firstly, core reactions present in any dynamically equivalent CRN realizations with a given complex set have been defined and a simple procedure with polynomial time-complexity has been given for determining them.
It reflects directly the catalytic activity of a given complex.
(3) How large should the coupling strength be used in a given complex network to achieve synchronization?
For a given complex dynamical network with both delayed and non-delayed couplings, we give the minimum number of controllers under which synchronization can be achieved.
The results obtained on the in silico data indicate that the procedure allows to identify the patterns composing a given complex samples in the large majority of cases, but can over-estimate the real richness of complex samples.
The ligands in a given complex may be identical, as the CO ligands in Fe(CO 5 and the H2O ligands in [Ni(H2O 6]2+, or different, as the CO and NO ligands in Co(CO 3 NO).
Where once 60 percent of the units in a given complex had two bedrooms, now 80 percent have one bedroom, and some units are as small as 500 square feet, he said.
In particular, if a pinning strategy has been designed for synchronization of a given complex dynamical network, then no matter what uncertainties occur among the pinned nodes, synchronization can still be guaranteed through the pinning.
There exist some fundamental and yet challenging problems in pinning control of complex networks: (1) What types of pinning schemes may be chosen for a given complex network to realize synchronization?
