The phrase "as earlier defined" is correct and usable in written English.
It can be used to refer back to a definition or explanation that was provided previously in the text.
Example: "The term 'sustainability' refers to the ability to maintain ecological balance, as earlier defined in the introduction."
Alternatives: "as previously defined" or "as defined earlier".
Where ACP i indicates academic performance of a student i.( {mathrm{E}}_i,kern0.75em {mathrm{AGE}}_i,kern0.5em {mathrm{GEN}}_i,kern0.5em {mathrm{INC}}_{i_i} ) are as earlier defined.
where DDI i is as earlier defined, x k and Y i represent the hypothesized variables to explain DDI i, ψ 0 and ϕ and β are parameters to be estimated, G is the logistic function while η represents the error term.
The normalized standard deviation Δq t was calculated using Eq. 16 below (Bello et al. 2014): Delta q, = 100frac{{sqrt {sumlimits_{i = 1}^{n} {left( {frac{{q_{text{e,exp}} - q_{text{e,cal}} }}{{q_{text{e,exp}} }}} right)^{2} } } }}{n - 1}, (16 where n is the number of data points and other parameters are the same as earlier defined.
Classification networks were trained to predict whether an amino acid was located in one of the nine types of β-turn, as earlier defined.
After eight weeks of infection a severe antral and corpus gastritis is induced, followed by a precancerous process of atrophy, metaplasia, and dysplasia as earlier defined by the pathologist Correa [ 14].
The scour gradient was earlier defined as the rate of change of scour with respect to changes in floodplain access at specific locations along the channel.
It had long been a scholastic shortening for "quantitative," defined as early as 1896 in a glossary of student slang as "quantitative analysis or quantitative chemistry".
SPA in humans was identified as early as 1954, and defined as a component of energy expenditure.
As early as 2002, WHO defined asthma as the most common chronic disease in children according to large-scale investigations and analysis [ 3].
Social marketing was defined as early as the 1970s as applying marketing in "programs calculated to influence the acceptability of social ideas" [ 21].
However, the current position of R. felis and its clustering with R. australis and R. akari is exactly the same as that defined in as early as 1999 [46].
