The phrase "a generalized system for" is correct and usable in written English.
It can be used when describing a system that applies broadly across various contexts or situations.
Example: "The researchers developed a generalized system for analyzing data from multiple sources to improve accuracy."
Alternatives: "a universal framework for" or "a broad-based approach to".
Petrot [18] applied the resolvent operator technique to find the common solutions for a generalized system of relaxed cocoercive mixed variational inequality problems and fixed point problems for Lipschitz mappings in Hilbert spaces.
In 2010, Petrot [8] used the resolvent operator technique to find the common solutions for a generalized system of relaxed cocoercive mixed variational inequality problems and fixed point problems for Lipschitz mappings in Hilbert spaces.
For such a generalized system, a stabilizing controller design method is proposed by introducing a new class of non-PDC controllers.
A workload prediction scheme does not deal with a generalized system model and they are not suitable for providing an accurate tradeoff between power saving and performance reduction.
However, Kazmi and Khan [20] called problem (1.2) the generalized system (for short, GS).
The system (1.4) was introduced and studied by Wang and Wu [18] and contains the generalized system for mixed variational inequalities with maximal monotone operators in [14] as special cases.
In another way, Kum and Wong [27] considered the multivalued generalized system (for short, MGS): find x ∈ K such that F ( x, y ) ⊈ − C ∖ { 0 } for all y ∈ K. (1.6).
A database management system (DBMS) is a generalized software system for manipulating databases.
Then (mathcal {R}= (mathcal {C}, varDelta )) is a generalized root system for ((mathcal {X}_{mathfrak {q}}, rho )).
[52] A generalized root system for ((mathcal {X}, rho )) (abbreviated GRS) is a pair ((mathcal {C}, varDelta )), where (mathcal {C}= (C^x)_{xin mathcal {X}}) is a bundle of generalized Cartan matrices (C^x = (c^x_{ij})_{i,j in mathbb {I}}), cf. (1.1), satisfying begin{aligned} c^x_{ij}=c^{rho _i(x)}_{ij} quad text{ for } text{ all },x in mathcal {X},, i,j in mathbb {I}.
