Re: Prove that it's dense!



On 8 12 , 9 44 , o...@xxxxxxxxx (Oscar Lanzi III) wrote:
For the case of a*sqrt(2), let b be an integer such that a*sqrt(2)-b
lies in [0,1). Then we get another number of the form c*sqrt(2)-d,
where c and d are integers, by adding any power of sqrt(2)-1. We can
raise the exponent on sqrt(2)-1 to make the increment arbitrarily small.

--OL

How can we make the increment arbitrarily small? Please explain more
specifically...

.



Relevant Pages

  • Re: Congruence with division
    ... If I can make the exponent a power of 2 then ... the fastest piece of software out there) will allow you to raise one ... hundred digit number by another hundred digit number mod a third ...
    (sci.math)
  • Re: Prove that its dense!
    ... lies in [0,1). ... where c and d are integers, by adding any power of sqrt-1. ... raise the exponent on sqrt-1 to make the increment arbitrarily small. ...
    (sci.math)
  • Canadian government so quick to claim majority of Canadians are lowly Christians
    ... Let me guess these selfish / greedy lowly Christians who wormed their ... way into power are now going to try and waste tax dollars to raise the ... through war and divide over thousands of years thanks to a now ... factually proven following of lies known as religion and we have ...
    (misc.news.internet.discuss)
  • Re: Lance The Hacker
    ... Speaking truth to a lie is not only importent, ... truth to power. ... an institution or corporate entity that exposes the lies ... that GWB's inaction on global warming kills babies and puppies. ...
    (rec.bicycles.racing)
  • Deadly Epidemic Sweeps America
    ... Your lives and the lives of others depend on it. ... The only known cure for this disease is the truth. ... suicide or homicide under the influence of lies. ... the dangerous fallacy 'power corrupts.' ...
    (alt.religion.islam)