The phrase "a continuum of positive" is not complete and lacks clarity in written English.
It can be used in contexts discussing a range or spectrum of positive qualities, experiences, or outcomes.
Example: "The project aims to create a continuum of positive experiences for all participants, ensuring that everyone feels valued and included."
Alternatives: "a range of positive" or "a spectrum of positive".
We provide sufficient conditions for determining the λ-direction to which a continuum of positive and negative solutions emanates from infinity at the first eigenvalue of the associated linear problem.
PBIS, the currently popular method of maintaining school-wide discipline adopted by many of our schools, is defined as, " a continuum of positive behavior support for all students" and is implemented in every area of the building, including hallways, lunchrooms, and even restrooms.
Rather than a single set of defined behaviors, several authors (17– 20) have proposed that machismo can be expressed differently in different men, with their behavior oscillating within a continuum of positive and negative characteristics.
For (4.4), from ((frac{mu_{0^{r},theta)) there emanates an unbounded continuum of positive solutions (C_subsetoverline{D}_).
In the aforementioned studies, experiences differed between women with "a continuum of responses from very positive to very negative".
Hence, we claim that the continuum of positive solutions bifurcating from ( θ a, 0 ; c ˜ ) cannot remain in the interior of P × P, which implies that there must exist c ˆ ( > c ˜ ), at which one of the components of the continuum of positive solutions vanishes.
In Section 4, we study the case f 0 = ∞, f ∞ = 0, and give the existence of global continuum of positive solutions.
In Section 3, we consider the case f 0 = 0, f ∞ = ∞, and give the existence of the continuum of positive solutions and the interval of parameter α about the nonexistence of positive solutions.
We consider two cases f 0 = 0, f ∞ = ∞ and f 0 = ∞, f ∞ = 0, and establish the existence of continuum of positive solutions, where f 0 = lim u → 0 + f ( u ) u and f ∞ = lim u → ∞ f ( u ) u.
Moreover, resorting to the global bifurcation theory, we get the maximal continuum of positive solutions, which tells us the range of the parameter c is λ 1 ( − d ( 1 − e − γ θ a ) ) < c < c ˆ, where c ˆ is determined uniquely by a = λ 1 ( γ θ c ˆ ).
ROC plots are generated by plotting sensitivity (true positive fraction) versus 1-specificity (false positive fraction) along a continuum of decision thresholds (P-value cutoffs).
