The phrase "a general setup" is correct and usable in written English.
It can be used when referring to a basic or standard arrangement or configuration of something, often in a technical or organizational context.
Example: "Before we dive into the specifics, let's discuss a general setup for the project to ensure everyone is on the same page."
Alternatives: "a basic configuration" or "a standard arrangement."
In a general setup the two parts are coupled together.
In a general setup, the different usage of words with the same valence is quite obvious.
To begin, we introduce a general setup for representing relevant parts of invariant manifolds in (mathbb{R}^{4} ) as families of orbit segments by defining suitable 2PBVPs.
Metric fixed point theory of nonlinear mappings in a general setup of hyperbolic spaces is a fascinating field of research in nonlinear functional analysis.
The expression in (2) indicates that the Green's function for annulus in a general setup must look like an infinite convergent sum of functions harmonic in annulus and having poles at carefully chosen points outside the annulus.
Lower bounds for breakdown points of trimmed likelihood (TL) estimators in a general setup are expressed by the fullness parameter of Vandev (Statist. Probab. Lett. 16 (1993) 117) and results of Vandev and Neykov (Statistics 32 (1998) 111) are extended.
Hence, the analysis of a general iteration schema, in a more general setup, is a problem of interest in theoretical numerical analysis.
It is worth mentioning that introducing and analyzing a general iterative algorithm in a more general setup is a problem of interest in theoretical numerical analysis.
Despite the success of the heuristic strategy for the ORBIT testbed, for a more general setup a quantitative or semianalytic approach is desired.
Biagini and Bion-Nadal (2014) study dynamic performance measures in a fairly general setup that generalize the results of (Bielecki et al. 2014b).
The analysis of general iterative schemas, in a more general setup, is a problem of interest in theoretical numerical analysis.
