(g(B) = left {e | forall e' in B, (e,e') in mathcal {R}right }.) Operator f defines the properties shared by all elements of A, and operator g defines objects sharing the same properties included in set B. The operators f and g define a Galois connection between the sets (mathcal {X}) and (mathcal {Y}) with respect to the binary context ((mathcal {X},mathcal {Y},mathcal {R}))[12,18].
A possible reason for this link is that grating stimuli are capable of activating selectively columns sharing the same properties, which are known to be preferentially connected (Stettler et al. 2002; Schmidt et al. 1997; Weliky et al. 1995; Malach et al. 1993; Gilbert and Wiesel 1989).
Do the type and all its tokens share the same properties?
Our brains, for instance, recognize that some things have the same shape or color (they share the "same" properties); whereas other things are different.
Zombies have negligible impact on routing efficiency (adding at most a single transmission per message), yet they share the same properties of message copies in that they increase fault tolerance and improve delivery statistics.
In hiPSC-ASPM aggregates, although abnormal lamination of neurons was not observed, many Satb2+ or Ctip2+ neurons were scattered throughout the cell masses (Figs. 4H, 4I, and S4C); therefore, we asked whether these neurons share the same properties as neurons in hiPSC-control organoids.
In some logics this behaviour is reflected in the behaviour of its set of theorems, as in classical and intuitionistic logic due to the deduction-detachment property, but this is by no means the most general situation, as it is witnessed by the example of the local and global modal logic of the normal modal logic K: both have the same theorems but do not share the same properties.
Between-species comparison may be more intricate for communicative activities because the gestures produced by human and nonhuman primates may not share the same properties, for example, in terms of communicative functions (e.g., Pika 2008), as illustrated by the case of triadic gestures, namely gestures that refer to an external entity for the benefit of another agent.
Next we consider a symmetric situation where two strains share the same properties: β ≡ β a = β b, γ ≡ γ a = γ b = γ d and ϕ ≡ ϕ a = ϕ b so that from (A.1) we have at equilibrium I - 1 = I - 2 and (A.11) I − 1 + I − 2 + I − d = σ + μ σ + μ + γ (1 − S − ).
A group signature also shares the same property since a group manager can revoke a signer's anonymity using the trapdoor information.
Some glasses are better suited than others for particular applications, but they all share the same property of being a glassy solid that dissolves in water to form an alkaline solution.
