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单词 Ternary
释义

Ternary

The Base 3 method of counting in which only the digits 0, 1, and 2 are used.These digits have the following multiplication table.

012
0000
1012
20211


Erdös and Graham (1980) conjectured that no Power of 2, , is a Sum of distinct powers of 3 for . This is equivalent to the requirement that the ternary expansion of always contains a 2. This has been verified byVardi (1991) up to . N. J. A. Sloane has conjectured that any Power of 2 has a 0 in its ternaryexpansion (Vardi 1991, p. 28).

See also Base (Number), Binary, Decimal, Hexadecimal,Octal, Quaternary


References

Erdös, P. and Graham, R. L. Old and New Problems and Results in Combinatorial Number Theory. Geneva, Switzerland: L'Enseignement Mathématique Université de Genève, Vol. 28, 1980.

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 10-11, 1991.

Vardi, I. ``The Digits of in Base Three.'' Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, pp. 20-25, 1991.

Weisstein, E. W. ``Bases.'' Mathematica notebook Bases.m.


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