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Even with swathes of shopping malls teetering on the brink of collapse, entrepreneurial companies are drawing up blueprints for malls of the future: smart, connected complexes, where stores offer dynamic discounts, tills are redundant and real-time mapping traces your movements.
Hence, it is intriguing to observe that such co-occurring substructures, significantly more often than randomly selected substructures (P<2.2×10−16), form connected complexes in which one or more residues from each substructure are within 5 Å of each other (see Materials and Methods for details).
Indeed, 88.2% of complexes in the CYC2008 manually-curated yeast complex catalogue [ 25] have a diameter of at most 2 in the DIP PPI dataset (connected complexes with at least three proteins were considered in this calculation).
Further, recent results showing the complicated organization of transporters together in physically connected complexes indicate that much work will be needed if we are to understand the integrated molecular details of anion transport and metabolism in renal CO2 tubules [ 26].
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The present paper is devoted to analyzing undamped forced transverse vibrations of an elastically connected complex double-beam system.
The reservoir simulations show the benefit of developing well connected complex fracture networks compared to single parallel hydraulic fractures.
In this section, (X) continues to denote a connected complex paracompact manifold of complex dimension (N).
As a consequence, there are no non-constant holomorphic functions on any compact connected complex manifold.
Evaluating similarity for all pairs of samples in N (i.e., evaluating their weighted links) allows to generate a fully connected complex network.
Everywhere below (X) denotes a connected complex paracompact manifold of complex dimension (N) (hence (n=2N)) and (G) a connected closed subgroup of (mathrm{Bihol}(X)) acting on (X) properly.
Proper actions by biholomorphisms are found in abundance, as shown by the following result, which holds even for complex spaces (see [52], Satz 2.5]): Let (Y) be a connected complex manifold and (H) a closed subgroup of (mathrm{Bihol}(Y)).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com