Sentence examples for proved based on explicit from inspiring English sources

These strong monotonicity results are proved based on explicit computations for measures in relevant Lévy Khintchine (or actually Kolmogorov) formulas.

In addition, the properties will be proved based on an implicit representation of the equations, in comparison with previous approaches [18, 19], where an explicit description of the model is obtained prior to analysis.

We provide a high level overview of synthesised evidence, based on explicit criteria of biases and causal relevance.

Statistically significant associations based on explicit hypotheses provided evidence for the construct validity of the scales.

Others undertaking stakeholder-based initiatives are encouraged to systematically identify participants based on explicit categorization frameworks.

First, the intervention was developed based on explicit theory [ 15- 17] evidence reviewing [ 14, 23, 24], and formative work [ 10- 14].

Vouchers would be distributed to those who qualified based on explicit criteria defined by state and city lawmakers.

A projection is a "what-if" exercise based on explicit assumptions that may or may not themselves be correct.

All of these applications are based on explicit construction of non-degenerate potentials.

A numerical code based on explicit scheme has been developed in C++.

Independently, an explicit construction of concatenated STECCs for 2 transmit antennas based on explicit linear combinations of FEC codewords has been presented in [16].