Sentence examples for many important classes from inspiring English sources

Note that the class of better admissible mapping includes many important classes of mappings, for example, the class in [18], in [19] and so on as proper subclasses.

end{aligned} (7 The condition (7) is also sufficient (for local optimality) in many important classes of DC programs (see [34, 35]).

Further, we have shown that our newly introduced class of mappings contains many important classes and is better than some apparently looking more general mappings in the literature.

Many important classes of optimization problems can be cast in this form, and problem (1.1) is a common problem in control theory.

Many important classes of problems in materials science and biotechnology require the solution of the Laplace or Poisson equation in disordered two-phase domains in which the phase interface is extensive and convoluted.

Although classical first-order logic is the de facto standard logical foundation for artificial intelligence, the lack of a built-in, semantically grounded capability for reasoning under uncertainty renders it inadequate for many important classes of problems.

Many important complexity classes besides P have been defined and studied; a few of these are \ \NP\), \ \PSPACE\), and \ \EXPTIME\).

MoCo oxidoreductases are nearly ubiquitous in life, and include many important enzymes classes including several dehydrogenases and ferredoxin oxidoreductases [ 92].

Many important new classes of drug targets are proteins that are better represented in these new libraries, including membrane proteins, and protein-protein complexes that E. coli carefully regulate, such as those occurring during cell division, transcription and solute transport [ 4].

The overall impression from our analysis is that the usefulness of short-term tests of genotoxicity could be significantly better than what has been suggested by the previous work of Tennant et al. because these tests tend to detect, at least for many important chemical classes, the most potent carcinogens.

From the analysis of the de facto logic of collective action that would block the spontaneous provision of many fundamentally important classes of collective goods we can go on to argue for what is now often called the public-goods theory of the state (Baumol 1952, 90 93; more generally see Hardin 1997).