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This alone, however, does not immediately provide intuition on the profile of (sigma ) or whether the profile is even monotonic with depth.
We hope our algorithms and impossibility results provide intuition and shed light on these topological theorems, illustrating why topological properties are so intimately related to distributed algorithms.
Our analyses bound the impact of between-colony emigration on global population size, and provide intuition as to the direction of population change depending on the EP dispersal characteristics.
But what a great balance it is -- what a great opportunity and privilege it is being with this community, and having the chance to provide intuition and inspiration.
The following representative results for a Dep and a No Dep simulation serve to provide intuition for the subsequent interpretation of IAP results of experimental data where the exact dependence between CWs and iPs is unknown (Figure 5A, B).
Graphical representations of such qualitative trends are often used by biologists, to provide intuition regarding the network main features.
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Geometric analysis provides intuition for designing the linkages of a robot.
The frequency domain provides intuition on practical subjects traversing the field of control theory.
The deficit resulting from a fixed amount of damage greatly depends on which connections are randomly injured, providing intuition for why it is difficult to predict impairments.
Furthermore, it provides intuition for the decoding process, and allows to formulate the code design problem in many cases as a convex optimization problem.
Note that Proposition 3 is more general than, and hence implies, property 3 of Proposition 1. Figure 2 provides intuition for Proposition 3. Its top panel reproduces Fig. 1 above.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com