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Mapping of annuli into canonical form.
Find the error in the following argument which suggests that it is not possible to map conformally a topological annulus into a canonical annulus:
The Riemann mapping theorem implies that any topological disk can be mapped to the unit disk. A topological annulus can therefore be mapped into the inside of a unit disk l z l ::::: I, with the outer boundary mapping into l z l = I and the inner boundary mapping into some closed curve inside the disk. To map this into a canonical annulus we m ust make the inner curve round and centered at the origin, while preserving the boundary l z l = I. This req uires a map of the disk to itself. The mappings of a disk to itself have three real parameters, just as the mappings of IHI to itself. It is not possible to round a general curve using just three parameters, so it is impossible to map the annulus into canonical form.
Briefly describe when you would want to use double hashing. Also, provide an example of a rule that can be used for a double hashing probe sequence.
Consider three LANs interconnected by two routers as shown in Figure below. Assign IP addresses to all of the interfaces. For Subnet 1 use addresses of the form 192.168.1.xxx; for Subnet 2 use addresses of the form 192.168.2.xxx; and for Subnet..
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