A field trial uses sensor nodes

PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Thermal, Statistical & Complex Systems · Complex and collective systems

Many Parts, One Behaviour, Ch Communities: finding the groups in a network

Problem

A field trial uses

N=16

sensor nodes. Using the Stirling approximation

\binom{N}{N/2}\approx 2^N\sqrt{2/(\pi N)}

, ((a)) estimate the number of balanced labellings, ways to put

8

of the

16

sensors in group 1 and the other

8

in group 2; ((b)) estimate how long it would take to examine every such labelling at a rate of

10^6

labellings per second.

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