Sentence examples for many useful examples from inspiring English sources

Many useful examples and propositions are stated in [9, 18 23] and references therein.

The class E ˜ ( 1 ) is essentially the class of logarithmically concave functions, which already encompasses many useful examples.

They give examples of w-distance and improved Caristi's fixed point theorem, Ekeland's ε-variational's principle and the nonconvex minimization theorem according to Takahashi (see many useful examples and results on w-distance in [4 8] and in references there in).

Licata's new book provides many useful examples of that necessary synergy.

I have seen many useful examples ranging from people putting up Facebook or other social networking postings in endangered languages to texting them or emailing them.

Books like The Blind Watchmaker by Richard Dawkins provide an excellent primer on the basic workings of evolution, and many useful analogies and examples for use in a debate.

When one tries to extend this theory to general Banach spaces, some difficulties must be encountered because many of the useful examples of nonexpansive mappings in Hilbert spaces are no longer nonexpansive in Banach spaces, for example, the resolvent (R_{A}:=(I+A)^{-1}) of a maximal monotone mapping (A:Hrightarrow2^{H}) and the metric projection (P_{C}).

For example, Amazon web services provide free access to many useful data sets, for example, the Ensembl [ 12] and 1000 Genomes data [ 13].

Recently many authors investigated the fixed point problem of nonexpansive mappings, generalized nonexpansive mappings with C-conditions, a family of finite or infinite nonexpansive mappings and pseudo-contractions and obtained many useful results; see, for example, [1 12] and the references therein.

Dendrimers are excellent examples of the scaffolds that possess many useful properties, such as high degree of branching, multivalency, well-defined molecular weight, and biodegradability.

Many useful manmade systems in this world are extremely complex; a typical example is a large infrastructure.