Sentence examples for exposition self from inspiring English sources

To make our exposition self contained, in this section we recall some previous notations and known results.

In this section, to make our exposition self contained, we recall some basic definitions, relevant notions and auxiliary results: Definition 1 [45].

Although the same derivation of the integral equation for is given in [2], we give it afresh here, partly to make the exposition self contained, and partly because it enables us to define and analyse a number of auxiliary functions that will be important in the proof.

In this section, to make our exposition self-contained, we recall some basic definitions, relevant notions and auxiliary results.

0 ≤ α n ≤ β n ≤ 1, lim n → ∞ β n = 0, ∑ n = 1 ∞ α n β n = ∞, converges strongly to a fixed point of T. To make our exposition self-contained, we have to recall that the (nearest point or metric) projection from H onto C, denoted by P C, assigns to each x ∈ H the unique point P C ( x ) ∈ C with the property ∥ x − P C ( x ) ∥ = inf { ∥ x − y ∥ : y ∈ C }.

For Ψ, we use a framework called PAA (Marschall and Rahmann, 2008), which we briefly describe below to make this exposition self-contained.

One weekend in 1993, having nothing better to do, Ms. Heckler visited the Outsider Art Fair, an annual Manhattan exposition of works by self-taught artists.

Such leaden present-tense exposition — the playwright's self-back-patting way of celebrating his own writerly acumen — is ultimately the death of the play, if not the protagonist himself.

The Dahesh Museum's scholarly style, from the start, has displayed telling affinities with contemporary theory-speak — as in a rote exposition of "France's self-constructed patriarchal, imperial, and cultural relationship with and appropriation of Egypt".

He cited transcultural influences on his trio for flute, clarinet and piano, L'Ere de Rien, but its progress from exposition to denouement was self-evident, and dynamically played by Andrew Nicholson, Yann Ghiro and Catherine Roe-Williams.

Called out of hiding to steal a computer chip (handily the exact size and shape as a playing card), the Four Horsemen ( a team of maverick magicians) devise a needlessly complicated series of bluffs and double-bluffs, which is then unpicked during huge chunks of shouty, self-congratulatory exposition.