The phrase "and correspondingly develop" is correct and usable in written English.
It can be used when discussing the need for something to evolve or change in relation to another factor or condition.
Example: "As the market trends shift, companies must adapt their strategies and correspondingly develop new products to meet consumer demands."
Alternatives: "and similarly evolve" or "and accordingly progress".
We propose a novel temporal efficiency metric, and correspondingly, develop a new temporal robustness evaluation method for temporal network models.
We propose new information measures and correspondingly, develop an information-theoretic paradigm for analyzing the performance trade-offs and limits in disturbance attenuation over information-constrained networked feedback, which is enabled by a cohesive development of new information measures, Bode-type integral inequalities, and performance bounds.
As category theory is still evolving, its functions are correspondingly developing, expanding and multiplying.
As more and more yeast cells flocculated together, a micro-environment was correspondingly developed among these cells.
Equivalent crack size (ECS) models are correspondingly developed with these best correlated parameters for single- and multi-crack initiations, respectively.
The transient stability judgment is correspondingly developed.
By classifying the ways through which such load disturbance enters into the process, analytical controller formulae are correspondingly developed, based on a two-degree-of-freedom (2DOF) control structure that allows for separate optimization of load disturbance rejection from setpoint tracking.
These research activities aim to thoroughly understand genetic diseases, e.g. cancer or rare diseases, and correspondingly to develop targeted medicines that prevent or cure these illnesses.
Correspondingly, we develop a branch-and-price heuristic by incorporating a column-generation formulation based on the Dantzig–Wolfe decomposition.
The AC of highly developed porosity and correspondingly large surface area is obtained only by activating the carbonized material either by physical or chemical activation (Menendez et al. 1999).
To achieve this, it is important to identify the caring domains/tasks that pose the greatest difficulty (e.g. problem behaviours) and to develop SE scales correspondingly.
