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We can see that with each additional fading coefficient considered, a straightforward graph expansion is carried out, effectively nesting the F−1 diversity achieving graph in the code capable of full-diversity performance on the channel with F fading coefficients.
First, using the Purely Infinite Simplicity Theorem (Theorem 20) and some straightforward graph theory, it is not hard to show that E is irreducible, essential, and nontrivial if and only if E has no sources and L K ( E ) is purely infinite simple.
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It is simply fascinating how something so complex, something with moving parts that can adapt and change through time, can all be modeled with straightforward graphs that have all been introduced within this class.
Displaying straightforward graph-based relationships of contigs in Cytoscape rather than tables also facilitates a faster and more precise determination of the linkages among contigs.
Reachability analysis is straightforward with a graph, and if the complex network and its abstraction have equivalent reachability properties then the much simpler graph analysis also characterizes the reachability of the original system.
Each composition step is performed accordingly to the interfaces that the involved services implement, so the full application logic can be expressed as a simple and straightforward pipelining logic graph.
The tool uses user-defined threshold values to combine the matrices, and uses a straightforward, memory-efficient graph algorithm to find clusters that are connected in all or in either of the networks.
After framing graphing as part of science, Beth felt her students were capable of graphing straightforward data, whereas Walter and Ken still grappled with how to do this in their classrooms.
In 1929, Hubble published a straightforward diagram that graphed results for two dozen nearby galaxies.
First, the requirement for planarity could be waived, as generating non-planar graphs is straightforward due to the availability of numerous graph generators [63].
Analysis of the data involved straightforward mathematical expressions and graph plotting using familiar software.
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