The phrase "weak notion" is correct and can be used in written English.
You can use it when you want to describe an idea, concept, or belief that is not firmly supported or lacks strength. It can also refer to something that is not widely accepted or considered to be less significant. Example: "The professor presented a strong argument, but some students held onto their weak notion that climate change is not real."
This is obviously a very weak notion of freedom, for it implies that a choice or action can be free even though it is completely determined by the past.
It should be noted that we have been using a weak notion of generality, here.
We define a strong and a weak notion of preferred answer sets.
Clearly, the weak limit shadowing property is a weak notion of the s-limit shadowing property.
Such a "weak" notion of sustainability appears to be compatible with policies based on discounting of future effects.
To state it, we must distinguish between two notions of dominance: a strong notion and a weak notion.
In the recent paper [4] the authors present a classification of the various weak notions of modulus of the gradient in a MMS and analyze their equivalence.
First, we consider modal component interfaces such that component behaviors and the assume and guarantee behaviors of ports are given in terms of modal I/O-transition systems with weak notions of refinement and compatibility.
Assessment systems in general vocational education in many countries usually offer a hybrid model that combines strong criterion-referenced standards in the form of outcomes or competences and weak notions of norm-referenced standards.
While type systems have proved effective for enforcing structural constraints in programs and data structures, most architectural modeling frameworks include only weak notions of typing or rely on first order logic constraint languages that have steep learning curves associated with them and that become unwieldy when scaling to large systems.
Analogous weak notions (W-notions) were defined by Piasecki in [21] as follows: each fuzzy subset (a in M) such that (a ge a') is called a W-universum; each fuzzy subset (a in M) such that (a le a') is called a W-empty set.
