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We study the complexity of problems related to irredundant equivalent subsets: verification, checking existence of an irredundant equivalent subset with a given size, checking necessary and possible presence of clauses in irredundant equivalent subsets, and uniqueness.
Checking existence of flatlines, outliers or single spectra with remarkable peaks differing from the other spectra was done, taking into account that mass deviation within the spectra set should be less than 500 ppm.
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(2.7) We can also check existence of such solutions numerically; see Section 5.
These algorithms are based on the fact that, if R is finitely generated as a C-module, then the existence of an isomorphism of R-modules can be reduced to checking the existence of an isomorphism of C-modules.
In particular, the features checking relation existence in curated databases are quite informative.
Checking the existence of integer solutions of a linear system of inequalities is a well-known problem [27].
We first show that without any restrictions on the regional structure, checking the existence of a feasible matching that satisfies all quotas is NP-complete.
We then conduct a detailed computational analysis of computing, checking the existence of, and verifying stable, fair, optimal, and popular partitions for additively separable hedonic games.
The survey clarified soil liquefaction areas in the Kanto region, checking the existence of sand boils or water spouts associated with the liquefaction.
Then, assuming that regions have a hierarchical structure (i.e., a tree), we show that checking the existence of a feasible matching can be done in time linear in the number of regions.
Without assuming the boundedness, monotonicity, and differentiability of activation functions and any symmetry of interconnections, we establish some sufficient conditions for checking the existence of periodic solution and global exponential stability for the neural networks.
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