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id A ChipsId structure defining the first axis.
Absence of Hyperolius marmoratus and Amietophrynus gutturalis was the factor defining the first division (eigen value 0.498) produced by the TWINSPAN analysis.
The foregoing two voltage characteristics of islanding formation are implemented by defining the first and second criterion respectively.
These results are summarized in Table 3, where RMSSTD, RS and (Gamma ) are directly excluded due to the subjective process of defining the first "elbow" in their monotonically increasing or decreasing curves (according to [10]).
To retrieve these values, we rely on the identity equation defining the first difference of the employment rate.13 The forecasts are based on the estimated parameters but also on the lagged values of the employment rate and on the current and past values of GDP.
In the limit of sufficiently weak noise,2 however, it is appropriate to truncate the expansion to first-order yielding (mathcal{F}_{av} tau) approx1 - langle a ^{2}_{1}rangle) with (langle a ^{2}_{1}ranglequivlanglele mathbf {a}_{1} tau mathbf {a}_{1}^{T} tau rangle) defining the first order infidelity.
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Surowiecki defines the first as cognition problems: questions that have "definitive" or factual solutions.
Abbreviations are defined the first time they appear in the text.
The university defines the first four org types, and each college and division defines its own Group, Department, and Section orgs.
This figure has defined the first two games: the Phillies are 1 for 28 with runners in scoring position.
The huge writedowns on trading-book assets that defined the first phase of the crisis were horribly unpredictable.
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