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String theory in d dimensions has n+1=11-d parameters that may be thought ofas being inherited from the geometry of an n+1 torus which may be used toconstruct the theory using dimensional reduction from eleven dimensions. Wegive the precise relationship between these parameters and the expectationvalues of the scalar fields that parameterise the E_{n+1} coset of the ddimensional theory. This allows us to examine all possible limits of theautomorphic forms which occur as the coefficient functions of the higherderivative corrections to the d dimensional type II string effective action.

Parameters, limits and higher derivative type II string corrections