The phrase "allows extension of the" is correct and usable in written English.
It can be used in contexts where you are discussing the capability or permission to extend something, such as a deadline, feature, or functionality.
Example: "The new software update allows extension of the trial period for users who need more time to evaluate the product."
Alternatives: "permits the extension of" or "facilitates the extension of".
The above result could be found from an inductive process, using the product rule, but the inductive step is similar to that which allows extension of the binomial theorem to all positive integers, and adds little to this presentation.
As a general problem-solving tool for shapes of arbitrary complexity, it allows extension of the integration of product modeling to finite element method (FEM) and finite element analysis (FEA).
Modern technology allows extension of the principle to video cameras.
Using D2O instead of water allows extension of the spectral study region of the dispersions in the NIR.
Thus, sensory adaptation allows extension of the dynamic range of sensory systems to many orders of magnitude.
This allows extension of the fit back in time with the extant databases of the three standard indices.
This is one of many pneumatic openings in birds (you may find a few others if you hunt around, including on the various bits of the backbone but this is a nice and obvious one) which allows extensions of the lungs to penetrate into the bones which are thin and hollow.
This paper provides a generalization of ANHs, allowing extension of the original topological analysis to include the description of a small population of grains growing in textured polycrystals.
Because of the large number of scans that can be analyzed in the c(s) approach, its sw values are very precise and allow extension of the isotherm to very low concentrations.
Based on relative energy gaps and a multi-phonon relaxation model, terbium is predicted to yield longer decay times than europium and allow extension of the temperature sensitivity to higher temperatures.
