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Furthermore, if T is closed-valued and lower measurable, then T : Ω → 2 Y has a measurable graph.
Recall (see Debreu [24], p.359) that if T : Ω → 2 Y has a measurable graph, then T is lower measurable.
Judging by estimations of minimum detectable activity, the lower measurable energy of a large-area plastic scintillation detector can be expanded down to a few tens of keV by adding a thin plate CsI(Tl) scintillator.
The correspondence T : Ω → 2 Y is said to be lower measurable if for every open subset V of Y, the set { ω ∈ Ω : T ∩ V ≠ ∅ } is an element of ℱ.
The correspondence T : Ω → 2 Y is said to be lower measurable if, for every open subset V of Y, the set T − 1 ( V ) = { ω ∈ Ω : T ∩ V ≠ ∅ } is an element of ℱ.
Specially, the decomposition of pcc1 confirms that CM patients seem to develop lower measurable levels of antibody to parasite antigens, but broader in term of specificity as exemplified in the Figure 2C, than both SM and MM patients.
Similar(52)
Suppose that the following conditions are satisfied: (A.1) (a) X : Ω → F ( Y ) is such that ω → ( X z : Ω → 2 Y is a nonempty convex weakly compact-valued and integrably bounded correspondence; (b) X : Ω → F ( Y ) is such that ω → ( X z : Ω → 2 Y is ℱ-lower measurable; .
The higher the absolute level of small LDL particles and the proportion of LpPLA2 complexed with them, the lower the measurable concentration of LpPLA2 mass but the greater the measurable LpPLA2 activity, and with it, the heightened atherogenicity resulting from increased concentrations of LpPLA2 small-LDL compLpPLA2 small-LDL
The limit of detection was 0.9 pmol/L, and the lower concentration measurable with a coefficient of variation of less than 10% was less than 4 pmol/L.
Lowering the reaction time to 5 h resulted in lowering the measurable BOD concentration range to 320 mg/L (R2 = 0.99).
It has also been shown that Tat can interact with endogenous glycosaminoglycans and heparin sulfates, thereby potentially lowering its measurable concentration in vivo [60].
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