The phrase "a correspondingly small" is correct and usable in written English.
It can be used when describing something that is small in relation to another factor or element that has been mentioned.
Example: "The increase in temperature was minimal, resulting in a correspondingly small change in pressure."
Alternatives: "a similarly small" or "a proportionately small".
The Goodearth is small and has a correspondingly small environmental footprint.
Their planned austerity will have a correspondingly small effect on the euro-zone economy.
With such a small percentage of mature women represented on BBC screens, perhaps we should only pay a correspondingly small percentage of our license fee.
However, index fund managers are remunerated with a very small percentage of their assets under management (AUM) and thus would capture a correspondingly small fraction of such increases in value.
As a consequence, an ion encounters a small, but not negligible, field component parallel to the x-y plane, which generates a correspondingly small force in the z direction.
Earth revolves around the Sun in an elliptical orbit, so that the distance of the Sun changes slightly during a year, with a correspondingly small change in the apparent size, the angular diameter, of the solar disk.
However, as discussed in Section 4.2 and illustrated in Figure 1, for a given average data rate per frame the number of blocks can be maintained by introducing a TDMA component with increased number of used subcarriers and a correspondingly smaller duty cycle within the chunk.
They can be ascribed – apart from the disposition of the political decision-makers – to another contingent factor: with the increasing political and economic consolidation of West Germany came a correspondingly smaller need to use 'psychological warfare' to 'immunise' the ever more saturated population against the 'mental danger' of communism.
All stars increase in luminosity as they age, and a given HZ thus migrates outwards, but if this happens too quickly (for example, with a super-massive star) planets may only have a brief window inside the HZ and a correspondingly smaller chance of developing life.
