The phrase "approximation to the real" is correct and usable in written English.
It can be used in contexts discussing theories, models, or representations that aim to reflect or represent reality.
Example: "The scientist's model is an approximation to the real behavior of the system under study."
Alternatives: "representation of reality" or "near equivalence to the actual".
Good adequacy can ensure that the approximating model provides an adequate approximation to the real system; otherwise, it may give poor or misleading results (Korbahti and Rauf 2008).
The solid body with the new turbulence model (SST k ω) was considered as a good approximation to the real life.
In order to optimize these fuzzy systems, the genetic algorithm improves an initial population and, eventually, selects the one which produces the best approximation to the real measurements.
The iterative algorithm has a linear constringent ratio; its solution gives a second-order spatial approximation and first-order temporal approximation to the real solution.
A better overall approximation to the real solution can be reached if there are more observational current data acquired in a whole vertical profile.
Then it is possible to apply the controller designed using the CPWL approximation to the real vector field with guarantee of stability.
Different cartesian-grid approximations to the real geometry of the pyramidal roof have been investigated in order to assess the effect of stair stepping on the smoke layer and the temperature field.
These species are in fact just simple approximations to the real hydrated species.
The resulting D were used as approximations to the real value.
In higher-order schemes and for finite mode truncations, the method yields better approximations to the real problem [13].
The realist has a perfectly good explanation as to why these various "instances" are, at best, countable approximations to the real power set of ω or the real set of real numbers.
