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The induced unitary action on L 2 ( R, C ) is δ ˆ a h = a h ( δ ˆ a − 1 = a h ( a ω ).
The action τ b ( f ) = f ( t − b ). of the translation group intertwines under the Fourier transform to the unitary action τ ˆ b h = e − i b ω h.
These data indicate, on the one side, that children with ASD are impaired in assembling their individual motor acts (reaching, grasping, placing) into a unitary action characterized by a specific intention (e.g. grasping-for-eating), on the other that their mirror chains are weakened, as shown by the lack of MH muscle activation (recorded in TD children) during action observation.
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It is shown that for pointwise unitary actions the spectrum (A × αG)∧ of the crossed product is a locally compact Hausdorff space and the restriction map Res, which takes π × U in (A × G)∧ to π, maps (A × G)∧ onto Â.
The infinitesimal operators associated with the unitary actions of δ ˆ, τ b ˆ and ε ˆ are the skew hermitian operators A ˆ f ˆ = d d s | s = 0 δ ˆ ( e s ) f ˆ = d d s | s = 0 e s / 2 f ˆ ( e s ω ) (19).
Unpacking the rhetoric surrounding the push for unitary executive action in wartime, How the Gloves Came Off traces the unmaking of the consensus against torture.
Under further assumptions on the form of the measurement, we show that finite-time controllability can be achieved in a time that is twice the dimension of the system, and we provide an iterative procedure to design the unitary control actions.
A separable C*-dynamical system (A, G, α) in which A is a continuous-trace C*-algebra and G is Abelian is called N-principal if N is a closed subgroup of G such that α restricted to N is locally unitary and the action of G on  defines a principal bundle p:  → A/G.
From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction.
Arguably this reflects the fact that much of their activity is in fact due to interactions (of the other parts of the molecule) with other targets (e.g. [105 119]), and expression profiling demonstrates clearly [120] that they lack a unitary mode of action.
Although the Meyer Overton rule hinted at the possibility of a unitary mechanism of action of GAs, research evidence is emerging that GAs are probably not a single group of drugs all acting via the same mechanism.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com