The phrase "a given index of" is correct and usable in written English.
It can be used when referring to a specific index or reference point within a dataset or a list.
Example: "In our analysis, we will examine the performance metrics at a given index of the dataset to identify trends."
Alternatives: "a specific index of" or "an assigned index of".
The open loop optimal control of a pre-stressed, orthotropic thin cylindrical shell subjected to a constant pressure at its interior wall relative to a given index of performance is investigated.
Data from 23 ionospheric stations are used for September 1999 to produce the electron temperature, Te, at the F2 layer peak height, hmF2, on the base of empirical relation between Te and the electron density, Ne, at a given height for a given index of solar radio flux (Brace and Theis, 1978, 1984).
Generally speaking, the throughput under a given index of difficulty has a tendency contrary to movement time, meaning that higher movement time results in lower throughput, and vice versa.
Another important problem is to quantify the degree of degeneracy of a given index.
The solutions of the Lane-Emden equation for a given index n are known as polytropes of index n.
In most cases, this amount is the return of a given index or market, less expenses.
Circles represent the median value of a given index from a single subject, I (m) ( s ).
In the former case, the intensity associated with a given mass index of the compound spectrum is given by summing over the chosen spectra all fragment ions with the same mass index.
From Singular LQ method, a relationship between order of singularity of a given performance index and the order of sliding mode controller is established.
Furthermore, the condition (A.5) for a given pair of indices is equivalent to the same condition for a "reversed" pair of these indices, because (and similarly for (A.6)).
The offsetToIndex method returns, for a given QL, the index of the active node.
