The phrase "and the fundamental function" is correct and usable in written English.
It can be used when discussing the essential role or purpose of something within a specific context.
Example: "In this system, the user interface is intuitive, and the fundamental function is to enhance user experience."
Alternatives: "and the core purpose" or "and the essential role".
Let us just mention that, e.g., the Hardy operator H f ( x ) = ∫ 0 x f ( t ) d t of a decreasing function, the Peetre K-functional in interpolation theory and the fundamental function ∥ χ E ∥ X, X is a rearrangement invariant space, all are quasiconcave.
This paper focuses on two characteristics of collaborative design with respect to cooperative work: the importance of work interdependencies linked to the nature of design problems; and the fundamental function of design cooperative work arrangement, which is the confrontation and combination of perspectives.
But in its basic definition and the fundamental function of equality, more rights for women in no way equates to fewer rights for men.
and denotes the fundamental function of with being any measurable subset of with.
Our results shed new light on the systems-level principles and the fundamental functions required by bacteria to sustain life.
Assume that U is an admissible function, ν is a non-negative non-degenerate Borel measure on [ 0, ∞ ), and φ is the fundamental function of ν with respect to U q and σ ∈ Ω U p. If { x k } is a discretizing sequence for φ with respect to U q, then ∫ [ 0, ∞ ) φ ( t ) r q − 1 σ ( t ) r p d ν ( t ) ≈ ∑ k ∈ Z φ ( x k ) r q σ ( x k ) r p. Lemma 2.2 ([[7], Corollary 2.13]).
Assume that U is an admissible function, f ∈ Ω U, ν is a non-negative non-degenerate Borel measure on [ 0, ∞ ) and φ is the fundamental function of ν with respect to U q. If { x k } is a discretizing sequence for φ with respect to U q, then ( ∫ [ 0, ∞ ) ( f ( t ) U ( t ) ) q d ν ( t ) ) 1 q ≈ ( ∑ k ∈ Z ( f ( x k ) U ( x k ) ) q φ ( x k ) ) 1 q. Lemma 2.3 ([[7], Lemma 3.5]).
Explicit integral estimates of the fundamental function and its derivatives we obtain here only for the simplest equation: ordinary differential equation with constant coefficients.
For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function.
Given the observation that no possible CAAS was identified in TM4, it indicated that this region should be more conserved during evolution, and play important roles in maintaining the fundamental function of NIP aquaporins.
