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There is restricted separation of commissures.
Syntactically, this means that given a set B, we can form a new set {X ∈ B : φ(X)} by separation only if any quantifier in φ is bounded, that is, it occurs only in contexts ∀X (X∈Y →...) and ∃X(X∈Y ∧...), for some set Y. We can see that this constraint on separation is efficacious since the proof theoretic strength of CZF, which has only restricted separation, is within the range of predicativity.
In CZF, Collection is strengthened to compensate for restricted separation.
Intercellular space formed in leaves and stems can result from restricted separation of cells at the tricellular regions [ 34].
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The ordinary nozzle flow separation patterns, free shock separation (FSS) and restricted shock separation (RSS), were obtained.
TLE shows increased lift by delaying and restricting spanwise separation.
This form of impredicativity is avoided in constructive set theory by restricting the separation schema: by requiring that all quantifiers occurring in the formula φ range only over "previously constructed" sets.
For instance, the study by Wu et al. was restricted to the separation of proteins by 2DE using a pH gradient of 4 7 [ 10].
IDA GUS expression in Arabidopsis is generally localized to the region where abscission will occur but not precisely restricted to where separation occurs (Butenko et al. 2003, 2006).
It has been suggested that adult neurogenesis may have a more general function which includes, but is not restricted to, pattern separation, such as memory resolution (Aimone et al., 2011), or clearance of memories from the hippocampus (Kitamura et al., 2009).
Our project will encompass measures of neurotransmitters (GABA and glutamate by H-MRS) and diffusion parameters (e.g. fractional anisotropy, mean diffusivity and separation of restricted and hindered water by Restriction Spectrum Imaging, RSI [ 55]), enabling longitudinal investigations of GABA- and glutamate levels as well as white matter properties in the same patients.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com