The phrase "a basis for approximating" is correct and usable in written English.
It can be used when discussing foundational concepts or methods that serve as a starting point for making estimates or calculations.
Example: "The theoretical framework provides a basis for approximating the outcomes of the experiment under various conditions."
Alternatives: "a foundation for estimating" or "a starting point for approximation".
This set is then used as a basis for approximating and decomposing the displacements and the applied forces at the line junctions.
On sufficiently small scales of space and time, flow in such media will be subject to approximate capillary equilibrium locally, which provides a basis for approximating the effective hydraulic conductivity of a composite multi-layer medium in terms of the conductivities of the individual layers.
Again, we use the infinite server queue (G/G/∞) as a basis for approximating the number of occupied hospital beds.
Although the CSA procedure will allow any basis for approximating the fields, Non-Uniform Rational B-Splines (NURBS), currently popular in the geometric modeling literature, are used to represent the geometry of the primitives as well as the analysis fields.
In this case of a single test, the variability between specimens was not captured in the measurement error, and the proposed correlation model provides a physical basis for approximating the specimen variability.
Statistical correlations of modern and fossil assemblages provide a basis for estimating the approximate makeup of the local or regional vegetation through time.
(441) The surface pressure versus area measurement, combined with other techniques, provides a basis for the inference about the approximate positions of interacting chemicals in the monolayer.
Nor is the distinction upon which the deprivation is here based -- the distinction between large and small families -- one that readily commends itself as a basis for determining which children are to have support approximating subsistence and which are not.
"There is a basis for this movement.
He called it a "basis" for change.
Provide a basis for your requests.
