The phrase "and thus defined" is correct and usable in written English.
It can be used to indicate that something has been established or clarified in a particular way, often following a definition or explanation.
Example: "The term 'sustainability' is often debated, and thus defined, as the ability to meet present needs without compromising the ability of future generations to meet theirs."
Alternatives: "and therefore established" or "and consequently clarified".
It is just that, for decades, art world mandarins proclaimed that art was about ideas, and thus defined in part in opposition to craft.
Knifelike instruments predominated and, thus, defined the nature of the fundamental need, namely, that of a cutting tool which could slit and sever.
Through federal legislation, these expectations have resulted in the requirement that only programs that have been demonstrated to be effective, and thus defined as evidence-based, be used.
(i) Elevation On the interregional scale, elevation significantly affected MAT, MAP, and primary production and thus defined the magnitude of the soil respiration rate.
We have identified the length of fabricated nano-walls as the main parameter controlling the pinning potential of nanostructures and thus defined the optimised milling conditions and nanostructure morphology to maximise pinning efficiency.
And, as we have seen (4.3), we know that propositional attitudes and mental contents are individuated, and thus defined, partially in terms of what they are caused by and cause (for attitudes, see Davidson 1987b, 41; for contents, see Davidson 1987a, 444, and extended discussion in the supplement on Related Issues (Mental Anomalism and Semantic Externalism)).
Diversity provides an ethical orientation and thus defines what a just city should achieve.
Suicide is a heterogeneous phenomenon, and thus defining more homogeneous subgroups may help in understanding its underlying biology and ultimately in its prevention.
The camera is mounted in a calibrated position relative to the projector, and thus defines the base line of emitting system and measurement sensor.
This paper aims to motivate and define the Structural Control Theoretic context of an important family of complex systems emerging in engineering design and thus define a new research agenda for structural methods of Control Theory.
To avoid the derivation of NE, BF, and CBF, Jager, like Kripke, adopts both the generality interpretation of theorems containing free variables and thus defines his system without the Rule of Generalization.
