"within the general framework" is correct and usable in written English.
You can use this phrase to indicate that something is within the overall concept, rules, or principles that make up a system. For example, "In order to make effective decisions, advisors need to operate within the general framework of the company's policies."
Within the general framework of the World Health Organization, the dental health program has progressed steadily from the beginning.
Their cause, he contended, was part of a grand er social adjustment within the general framework of American capitalism.
The constitutive relationships are derived within the general framework of rate-independent, isotropic, finite strain elastoplasticity.
The whole process is performed within the general framework of analytical dynamics.
The paper discusses distillation column control within the general framework of plantwide control.
Operating within the general framework of the United Front against Japan, the leaders of the Eighth Route Army adopted a strategy that used their experience in guerrilla warfare.
Simultaneously, we use empirical data to identify and catalog patterns in nature and, within the general frameworks, we develop models whose predictions we attempt to empirically test using eco-evolutionary experiments, molecular and genomic analyses, and field manipulations.
Thus, although there is ample reason for setting the causal closure thesis aside from the general framework within which the argument for Anomalous Monism takes place, its ultimate status is unclear.
Presently, the worldwide strategy, Stop TB, is the general framework within which TB is being fought in Ghana [ 17].
It should be noted that the study of geometric operators within the more general framework of elliptic complexes proves to be very successful (see [6, 7, 8], etc).
The present theory incorporates the function of early sensory systems and principles of efficient coding within the more general framework provided by reinforcement learning.
