# Ternary expansions of powers of 2

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Let C be a Cantor subset of the real line. For a real number t, let C+t be the translate of C by t. We say two real numbers s,t are translation equivalent, if the intersection of C and C+s is a translate of the intersection of C and C+t. We consider a class of Cantor sets determined by...

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Floating Point (FP) addition, subtraction and multiplication are widely used in large set of scientific and signal processing computation. A high speed floating point double precision adder/subtractor and multiplier are implemented on a Virtex-6 FPGA. In addition, the proposed designs are...

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Nazarov, Peres and Volberg proved recently that the Favard length of the nth iteration of the 4-corner Cantor set is bounded from above by nâˆ’c for an appropriate c. We extend this result to more general product Cantor sets whose projection in some direction has positive 1-dimensional measure.

- An Exploration Of The Generalized Cantor Set. Islam Khan, Md. Shariful; Islam, Md. Shahidul // International Journal of Scientific & Technology Research;Jul2013, Vol. 2 Issue 7, p50
In this paper, we study the prototype of fractal of the classical Cantor middle-third set which consists of points along a line segment, and possesses a number of fascinating properties. We discuss the construction and the self-similarity of the Cantor set. We also generalized the construction...