The phrase "also supposed that for" is not correct in standard written English.
It may be an attempt to convey a conditional or hypothetical situation, but it lacks clarity and proper structure.
Example: "The researchers also supposed that for the experiment to be valid, all variables must be controlled."
Alternatives: "also assumed that for" or "also believed that for".
We also suppose that is a multivalued map such that, for any, is a proper, closed, and convex cone in with,, are vector-valued maps, and, are multivalued maps.
Also suppose that is closed.
Also, suppose that for each x, y ∈ M, there exists z ∈ M such that z is comparable with x and y.
Theorem 3.3 Let X be a nonempty compact and star-shaped subset of a locally convex Hausdorff space V, C be the star-core of X and A be a commutating family of upper semicontinuous multimaps such that for each T ∈ A, F ( T ) ⊆ C. Also, suppose that for each x ∈ X, T ( x ) is a nonempty, closed and star-shaped subset of X and T is p-convex for each p ∈ C.
In our analysis we have been assuming that the correct preprocessor mode can be easily determined, and we also supposed that it can be extended for a three-peak histogram.
It was also supposed that the significantly different seropositivity rates for the various HCoVs might result in individuals with different demographic factors (e. g. ethnicity, smoking status, and socioeconomic status) having different susceptibilities to individual HCoVs [ 14].
It was also supposed that negative conditions recruited some additional mechanisms for implicit, affective down-regulation, which could add to the perceptual/attentional control activity.
Suppose that, for instance,.
But we might also suppose that emotional experience, for example, is relevant to the epistemology of religious belief in other, less direct ways: not now because it is bound up with an experience of God or some sacred space, but just by virtue of its role in signalling that certain matters are properly the object of attention.
