Sentence examples for a standard presentation for from inspiring English sources
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.
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.
We want to define standard presentations for ℳ.
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.
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.
We should like to propose the use of this classification scheme in future studies of cancers in adolescents and young adults to achieve a standard format for presentation of such data, to facilitate international comparisons, and to encourage an interest in research into these cancers.
Studies of the effect of these interventions consistently indicate the lack of effectiveness of a standard didactic presentation and show student preference for some other form of teaching.
