The phrase "a correspondingly different" is correct and usable in written English.
It can be used when discussing variations or changes that are related to a specific context or situation.
Example: "The results of the experiment showed a correspondingly different outcome when the variables were altered."
Alternatives: "a similarly distinct" or "a proportionately different".
One study dividing PTSD patients into such groups: a non-dissociative PTSD group, with strong intrusions, and intense hyperarousal symptoms; and a dissociation group, showed correspondingly different patterns of functional neural activity.
There was a general view that the "average" researcher is a university-based academic, professor or otherwise, and several respondents cited pharmaceutical companies as being a different case entirely, facing correspondingly different ethical requirements.
Upon returning from the studio trip, participants will have the option of developing proposals at drastically different scales -with correspondingly different OSM approaches- either in a rural location north of Edinburgh, or in the historic heart of the seventeenth century city.
The dried composite films with different concentrations of NPs and, correspondingly, different surface density of passivating species surrounding a nanoparticle, demonstrated concentration-dependent spectroscopic properties that were analyzed by the PL and ODMR methods.
Please note the doubling of the c-Jun bands in Figure 2A is a result of different phosphorylation states of c-Jun and, correspondingly, different gel migration rates.
Under this model, variation in the functions of acquired genes results in the differential adaptation of subpopulations of bacteria into correspondingly different ecological habitats or niches, thereby creating a physical barrier to continued exchange and allowing sequence divergence to accrue to the extent that homologous recombination is suppressed.
Lewis is basically saying that the Consequence argument equivocates between two ways of understanding ability claims (when they are applied to propositions) and two correspondingly different ways of understanding the "N" necessity of a proposition.
And/or is it the replacement of a large fraction of centralised generation with more widely distributed generation, with correspondingly different implications for society?
The effect on an individual's ability to traverse between adaptive peaks may be correspondingly different.
