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We discuss the defective intertwining property of generators of semigroups.
We give a plane graph to characterize the intertwining property of basins of attraction of the dynamical systems.
Then system (2.1) has the intertwining property if the α-limit set α ( q ) of q ∈ ∂ W 1 s ( O ) ∖ { O } (or ∂ W 2 s ( O ) ∖ { O } ) is at least two common points.
In fact, if system (2.1) has the intertwining property at the point p, which is a regular point since there exist no equilibria in X ∖ A 1 ∪ A 2 ∪ { O }, then the orbit pR is contained in α ( q ).
There exist no equilibria in X ∖ A 1 ∪ A 2 ∪ { O } if system (2.1) has the intertwining property if and only if the α-limit set α ( q ) of q ∈ ∂ W 1 s ( O ) ∖ { O } (or ∂ W 2 s ( O ) ∖ { O } ) is at least two common points.
We say that { B i } i = 1 n has an intertwining property at a point p ∈ ⋂ i = 1 n ∂ B i, provided: (1) p is inaccessible from { B i } i = 1 n ; (2) for each arc ς in { B i } i = 1 n from p to a point x ∈ B i for some i ∈ { 1, 2, …, n }, then ς ∩ B j = ∅ holds for every j ∈ { 1, 2, …, n }. .
Similar(54)
We give conditions for an endomorphism ϱ of a unital C∗-algebra A to determine an action of TSU d) on A. Such actions correspond to ∗-monomorphisms of OSU d) into A with natural intertwining properties.
Because species locations are so intertwined with geophysical properties, many current conservation areas chosen for a single population of a rare species, an unusual community type, or a taxonomic hotspot, already represent unique combinations of geophysical factors (e.g. serpentine barren or limestone fen) that benefit many species.
At a time when a younger generation of women is becoming more independent, many critics believe that the khaps are desperate to maintain traditional controls over women and property, which is intertwined with marriage.
The mesoscopic WO3 microspheres offer desired porous properties and large effective active areas provided by intertwining nanofibers, thereby resulting in excellent supercapacitive properties due to facile electrolyte flow and fast reaction kinetics.
Peculiar to Ireland is the deep intertwining of the banking sector, state institutions and property developers, which produced convoluted, low-collateral loans, a porous regulatory culture and complacency about continuing property-based asset escalation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com