Sentence examples for the preceding solutions from inspiring English sources

Hypotheses about the co-evolutionary process, including mental and social structures, leading to Emergent Institutions are discussed, and advantages over the preceding solutions are illustrated.

It is interesting to note that the preceding solution (A^) is permutationally similar to (A(1)).

As a Te2− source, we used electrolytically generated hydrogen telluride which was bubbled through the preceding solution deaerated by argon flow.

The AFM images and the tip-deposit interaction, observed during early stages of deposition, demonstrate clearly the presence of a transitional gel state of the depositing material between the preceding solution-dispersed state and the subsequent solid state.

From a strictly long-run perspective, absent any assigned costs, the preceding solution can be considered as an approximate way to find a control that most beneficially shifts the steady-state distribution.

That original report is referenced for the detailed rationale regarding the critical advantage of the bidirectional implementation over the preceding unidirectional solution: all units of a common pattern between two sequences are observed to be equidistant regardless of the individual positions within the sequence.

It results from the preceding observation that solutions to (1) and (4) exist and are pathwise unique up to their respective explosion times: see, e.g., Protter [9], Chap.

As is apparent from the preceding statements, solid solution plays an important role in the rock-making feldspars.

As shown in Table 1, we note through the results of the preceding table that the solutions we have obtained are very precise and that we have compared our solution (HAM) to HPM and exact solution.

According to the preceding discussion, all the solutions of (2.33) belong to.

According to the preceding discussion, all the solutions of (9) belong to b ( R 0 + 1 ) = { x ∈ R N ∣ | x | < R 0 + 1 }.