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Abstract  

Consider the set

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of real numbers q ≧ 1 for which only one sequence (c i) of integers 0 ≦ c iq satisfies the equality Σi=1 c i q i = 1. We show that the set of algebraic numbers in
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is dense in the closure
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of
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.

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Abstract  

Complexes between members of a homologous series of alkylparabens and b-cyclodextrin (b-CD) have been prepared by both kneading and co-precipitation methods and their behaviour studied by differential scanning calorimetry (DSC), thermogravimetric (TG), infrared (IR) and powder X-ray diffraction (PXRD) techniques. PXRD revealed that complexation did occur by both the kneading and co-precipitation methods. DSC and IR techniques confirmed these results and TG indicated the presence and number of water molecules in each complex.

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