Archive for the ‘Uncategorized’ Category
Some curly questions on the base 3 digits of powers of 2
Posted by: Gary Ernest Davis on: December 6, 2010
Representing positive integers base 3 Positive whole numbers can easily be written in base 3, there where we allow the digits 0, 1, 2 For example: which we write as , where the notation picks out the digits and puts a subscript “3” to remind us that these digits need to be multiplied by appropriate […]
Some stubborn problems associated with the number 3/2
Posted by: Gary Ernest Davis on: December 4, 2010
Fractional parts of powers of The powers of increase exponentially: However, if we keep only the fractional part of – that is, – quite a different picture results: The first few of these numbers are 1/2, 1/4, 3/8, 1/16, 19/32, 25/64, 11/128, 161/256, 227/512, 681/1024, 1019/2048, 3057/4096. Despite much study, there are things about this […]
