Sentence examples for and this continuation from inspiring English sources

We are interested in solving the equation ( A u ) ( x ) = f ( x ), x ∈ C + a, (1). in the space H s ( C + a ) if the right-hand side is taken from the space H 1 s − α ( C + a ) of S ′ ( C + a ) distributions which admit a continuation lu on the whole R 2, and this continuation belongs to H s − α ( R 2 ).

Its predecessor, titled "Chrysalis", did a decent job of establishing the relationships between the game's central characters, both long-held and newly formed – this continuation, called "Out of Time" (limited-period time travel being the unique mechanic of this Telltale-like adventure), widens its scope to present intimate moments of what seemed like periphery cast members before.

A few HCPs stated the support was completely terminated and this influenced continuation negatively (' All support ceased due to the governmental cutbacks. Then you realize how difficult it is to continue.').

In this continuation, Lakshmikantham and Ćirić [17] generalized these results for nonlinear ϕ-contraction mappings by introducing two ideas namely: coupled coincidence point and mixed g-monotone property.

In this continuation, Lakshmikantham and Ćirić [22] generalized these results for nonlinear contraction mappings by introducing two ideas namely: coupled coincidence point and mixed g-monotone property.

In this continuation, Lakshmikantham and Ćirić [13] introduced coupled common fixed point theorems for nonlinear ϕ-contraction mappings in partially ordered complete metric spaces which indeed generalize the corresponding fixed point theorems contained in Bhaskar and Lakshmikantham [7].

In this continuation, Lakshmikantham and Ciric [8] introduced coupled common fixed point theorems for nonlinear ϕ-contraction mappings in partially ordered complete metric spaces which indeed generalize the corresponding fixed point theorems contained in Bhaskar and Lakshmikantham [6].

In this continuation, Bector and Chandra [12] formulated a second-order dual for a fractional programming problem and obtained usual duality results under the assumptions [10] by naming these as convex/concave functions.

In this continuation, Choudhury and Das [14] extended the classical metric fixed point result of Khan et al. [15] by introducing the idea of altering distance functions in PM-spaces.

We began communicating through symbols, and we've "evolved" to this continuation of talking through images.

This and the continuation of wartime tax rates throughout the 1950s led to a further expansion of health insurance.