The phrase "alternatively defined" is correct and usable in written English.
It can be used when presenting a different definition or explanation of a term or concept.
Example: "The term 'sustainability' can be alternatively defined as the ability to meet present needs without compromising the ability of future generations to meet their own needs."
Alternatives: "defined in another way" or "defined differently".
In model (7), we deploy alternatively defined excess cash (Excess CashALT) and obtain a similar result.
When the variable is a differentiable function of the parameter, the sensitivity index may be alternatively defined using partial derivatives.
Additionally, the PSD function can be alternatively defined using the spectral representation of time series, that is, (4).
The variable E 1i is alternatively defined as indicating whether individual i has ever started a business or whether individual i has ever started a business that was ultimately successful.
Comparing the baker's map and the symmetric tent map functions, the baker's map can be alternatively defined via the symmetric tent map function as follows: begin{array}{*{20}l} left[ begin{array}{c} x y end{array} right]= F u,v)= left[ begin{array}{c} G u) G_{mathsf{sign} u)}^{-1} v) end{array} right], -1 leq u, v leq 1. end{array} (3).
Alternatively, defined amounts of bovine serum albumin (BSA; Sigma) served as standard for semi-quantitative determination of protein concentration after SDS-PAGE and Coomassie Blue staining.
As a robustness check, we alternatively define excess cash (Excess CashALT) with the predicted values from the fixed effect model (2) in Table 3 that includes additional firm characteristic variables.
We could alternatively define a separate probability distribution for the first d nucleotides.
There is therefore considerable incentive to identify biomarkers that will have impact across the broad lupus portfolio, or alternatively define unique SLE subsets that may require and respond to different therapies.
Alternatively, [27] defined inpatient superutilization as ≥ 3 inpatient stays per year or ≥ 2 stays with a concurrent mental health diagnosis per year.
