Re: BigDecimal and trigonometrics


"Jeffrey Schwab" <jeff@xxxxxxxxxxxxxxxx> wrote in message
news:V1zef.1144$3o6.419146@xxxxxxxxxxxxxxxxxxxxxxxxxxx
>
> Can we assume that each rational number we need to represent must have be
> arrived at by some sequence of mathematical operations? If so, each such
> number can be represented by the sequence of operations that invokes it.

For any number X (rational or otherwise), we can arrive at it by
starting with X and doing zero operations on it. This doesn't nescessarily
prove that X can be represented with finite memory though.

If X is rational, then we sort of apriori have to assume that the step
of "start with X" requires finite memory, to which we perform 0 operations
(thus adding a overhead of 0 memory) and end up with finite memory
requirements again.

- Oliver


.

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