The phrase "again define the" is correct and usable in written English.
It can be used when you want to reiterate or clarify a definition that has been previously mentioned.
Example: "In our discussion about the project, I would like to again define the key terms to ensure everyone is on the same page."
Alternatives: "redefine the" or "clarify the definition of".
We here develop analogous design contours for the dynamic problem, based on FORM principles, again defining the contour as a locus of all possible FORM design points.
Within hours, Mattis released a statement once again defining the US objectives minimally – and with clarity atypical of the Trump administration.
An all-Balanchine program on Tuesday night, highlighted by a powerful performance of "Concerto Barocco," and this season's revival of the 1980 "Ballade" over the weekend at the New York State Theater again defined the distinctiveness of the City Ballet repertory.
The Grunig model, although providing the symbiotic relationship needs of organizations in sustaining excellent public relations, again defines the existing types of performance on the part of organizations or provides a progression of the way in which public relations has evolved in societies.
Freedom to try, analyze, and try again defined the ultimate trajectory of the curriculum and instruction at RSA, leading to new understandings reflected in changed instructional approaches.
A resident of South Laguna can say, with some pride, "Look at us! We're on the map". And it again defines the roles of City Council and staff.
Let us rewrite the motif model parameters (independent multinomial distributions) for now as θ( k)(i, j) = θij( k) which again defines the probability of seeing nucleotide i∈{A, C, G, T} at the jth (1≤j≤ℓk) position in the kth (1≤k≤m) motif model.
For the sample composition we again defined the random effects from the smallest disjunct elements.
Equation (5) can again be used in this context, with equation (4) again defining the per capita growth rate for different strains of HIV.
