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In contrast, the automata-based approach is usually well-suited to prove ExpTime upper-bounds, but its direct application will usually also yield an ExpTime-algorithm for a PSpace-complete logic since the (tree) automaton constructed for a given concept is usually exponentially large.
The attainable region can be constructed for a given reaction network with n chemical compounds in an n- dimensional space.
We generated 'synthetic collections' of 100 sub-networks (100 individuals in each case); each collection is constructed for a given network structure (sub-networks Net-1, Net-2, Net-3), a certain total number of traits (k + 2 = 5, 7, 12, or 17 traits) and a certain noise level (q ε = 0.25, 0.5, 1, 2, 4).
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This phase-amplitude coordinate system can be constructed for any given ODE system supporting a limit cycle.
On the basis of allocentric or/and egocentric frame of reference, a cognitive map is constructed for any given environment entailing information on metric relationships such as distance and relative position of the landmarks (equivalent to survey knowledge acquisition) [3].
It follows from the formation rules and from the fact that an initial truth table has been specified for each operator that a truth table can be constructed for any given wff of PC.
The problem is to construct for any given r a matrix H with the maximum number of rows possessing the property Pt.
Arithmetic encoding does not generally allow such random access decoding because the constructed interval for a given symbol depends on all previously observed symbols.
Once the SOHN has been constructed for a collection of hypotheses and a given reference dataset, it is possible to analyse the signal and coverage of each hypothesis.
Based on empirical data, three levels were constructed for each attribute given the minimum, median and maximum estimate.
When constructing finite frames for a given application, the most important consideration is the spectrum of the frame operator.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com