Pdf models for lattice thermal expansion and thermal. Such an expansion is unique up to a tail of twos for a given r20. Ternary definition of ternary by the free dictionary. If we agree to always use the form of the ternary expansion that uses no 1s if possible, then the expansion is unique. Slama institute of inorganic chemistry, czechoslovak academy of sciences, cs16000 prague received 19 november 1985 dedicated to corresponding member m. Pdf ternary expansions of powers of 2 researchgate. Theusual ternary cantor set 3 is the set of all real numbers whose ternary expansion has digits 0 and 2 omits 1 themodi ed ternary cantor set 3. Tne cantor set ccan also be described in terms of ternary expansions. Ternary expansions of powers of 2 article pdf available in journal of the london mathematical society 793 december 2005 with 146 reads how we measure reads. Zikmund, in honour of his 65th birthday algorithms for calculation of ternary phase diagrams using the socalled. Cantor set and its properties department of mathematics. Ternary expansions of powers of 2 university of michigan. Titleabstractpreliminariesconstruction and formulaproperties and proofs abstract the cantor set is a famous set. The ternary cantor set cconsists of all real numbers in 0.