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Then H is invariant under shift: Let h ∈ H and τ be a real number.
The idea consists in introducing a map state, which only contains relative quantities among the features invariant under shift and rotation.
In [15], Adıvar proposed a new concept of periodic time scales under shift operators, and this approach enables one to investigate this periodicity notion on a large class of time scales.
In the following, according to Definitions 2.8 and 2.9, one can also introduce the concept of matched spaces for time scales under shift operators attached with the shift directions.
Moreover, the authors of [19, 20] proposed and solved the almost periodic problems for q-dynamic equations on the quantum time scale for the first time, and the authors introduced the theory of almost periodic functions under shift operators which can derive and include the almost periodic theory of q-dynamic equations on the quantum time scale.
Similar(55)
Instead, it reclines under shifting body weight.
Since the law is supposed to serve as an anchor under shifting political seas, this can be disconcerting to contemplate.
Corporate spies also indulge in educated guesswork about how competing companies might act under shifting market circumstances.
From the summit above deep, hidden Achnahaird Bay, the dreamlike Summer Isles appear on the far side: on a fine day they are like blue jewels, under shifting clouds they become a Japanese print in shades of gray, white and silver.
This is stable under shifts, so it suffices to take (n=0).
The landscapes in Yorkshire change constantly under shifting skies, from bleak wintry fog to the cheerful springtime eruption of daffodils.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com