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Once the opposing surfaces are separated locally at open bonds by more than a critical distance, bond rebinding becomes hardly possible and the cluster is expected to undergo a catastrophic failure process.
Firstly, a generalized weak convexlike set-valued map involving the relative interior is introduced in separated locally convex spaces.
We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings on a compact convex subset of a separated locally convex space.
Let ((mathbb{X}, { d _{alpha} } _{alphainLambda } )) be a complete Hausdorff pseudo-metric space, ((mathbb{mathbb {Y}}, { p_{i} } _{iin I} )) a complete separated locally convex space, and (T:mathbb {X}longrightarrow2^{mathbb{X}}) and (S:mathbb{X}longrightarrow2^{mathbb{Y}}) two set-valued maps with nonempty values.
Let ((mathbb{mathbb{Y}}, { p_{i} } _{iin I} )) a complete separated locally convex space, ((mathbb{X}, { delta_{alpha} } _{alphainLambda } )) be a complete Hausdorff pseudo-metric space over a solid convex cone (mathbb{K}), (T:mathbb{X}longrightarrow2^{mathbb{X}}) and (S:mathbb{X}longrightarrow2^{mathbb{Y}}) two set-valued maps with nonempty values.
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By separating flows, we can provide isolation between flows experiencing different levels of contention for network access, e.g., we can separate locally generated traffic at a node from its relayed traffic.
The design method of the MDA is developed based on the theory of a simple dynamic absorber, because the shadow-mask has well separated and locally deformed vibration modes.
Let us first calculate the spinodal line that separates locally stable and unstable regions in the phase diagram.
In these communities, blood samples were collected, incubated, separated and stored locally.
Third, a pneumothorax can be missed when its size is small or it is a locally separated one.
We measured a large variety of phenotypes, including the transcriptome, for multiple wild genotypes in C. elegans collected from different locally separated sites, under the same and constant laboratory conditions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com