The phrase "approximation that needs to" is correct and usable in written English.
It can be used when discussing a situation or calculation that requires a certain level of estimation or adjustment.
Example: "The approximation that needs to be made in this calculation is crucial for achieving accurate results."
Alternatives: "estimate that must" or "approximation required to".
Including the derivations here may be beyond the scope of the paper or irrelevant because the approximations that need to be made do not apply to the case we are considering.
The unfinished target approximation movement thus often results in a highly dynamic articulatory trajectory that needs to be transferred to the next target approximation interval as its initial state.
To meet this challenge, one important filter characteristic that needs to be considered is the trade-off between implementation complexity and approximation capability.
A basic question that needs to be considered however, is what type of architecture can be used to provide universal function approximation capabilities in spiking networks?
Still, Norman Christ, a theorist at Columbia University, says that Davies and colleagues make certain assumptions and approximations in their particular calculations that need to be tested.
In considering a modified approximation scheme for Fermi hypernetted chain (FHNC) theory, an integral arose that needed to be evaluated on a routine basis.
The approximations that are needed to tackle this complexity often require a choice of simplified methods that all but ignore atomic structure.
However, to construct this kind of normal approximations, one still needs to extract information from the sequencing data to incorporate, for example, time-dependent features and, importantly, one needs to check that the normal approximation is valid in all ranges of data at all time points considered.
For example, most details on an air traffic controller's screen are approximations (e.g., altitude) that need not be computed more precisely (e.g., to the nearest inch) in order to be effective.
