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He tells another cautionary tale of a junior crew member who put a guest's £750 cashmere jumper into the drier, shrank it to the size of a doll's jumper, pressed it, wrapped it in tissue paper (standard presentation for newly laundered clothes), and returned it to the guest's cabin.
The definition and a standard presentation for the semi-direct product of two monoids can be found in [10, 11, 14, 16].
We may refer to [9, 10] for more detailed knowledge about the definition and a standard presentation for the semi-direct product of two monoids.
Furthermore, one can define a standard presentation for M as follows: For every x ∈ X and y ∈ Y, choose a word, which we denote by y θ x, on Y such that [ y θ x ] = [ y ] θ [ x ] as an element of K. To establish notation, let us denote the relation y x = x ( y θ x ) on X ∪ Y by T y x and write t for the set of relations T y x.
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We want to define standard presentations for ℳ.
4. For an n-ary predicate R, standard presentations of classical model theory require I(R) a subset of Dn.
In [14], a finite trivializer set has been constructed for the standard presentation P M, as given in (3), for the semi-direct product ℳ.
They chose to pitch their idea to Harrison using their own software, rather than PowerPoint, which allowed for bullet point information as in standard presentations, but also for live, controllable movement of game characters.
We provided these lizards with an enrichment device that slowly released insect prey and tested its effect on the activity and frequency of a number of behaviours in comparison with a scatter control (where prey items were broadcast in the enclosure; standard food presentation for captive insectivorous lizards) and a non-feeding control.
Then P M = [ Y, X ; s, r, t ]. is a standard monoid presentation for the semi-direct product M.
Then, for any choice of the words y θ x, P M = [ Y, X ; s, r, t ] (3). is a standard monoid presentation for the semi-direct product ℳ.
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CEO of Professional Science Editing for Scientists @ prosciediting.com