In message <email@example.com>, quasi <firstname.lastname@example.org> writes >Robert Crandal wrote: >> >>Suppose I have the following X-Y data set: >> >>X Y >>-- -- >>0 1 >>1 1 >>2 2 >>3 3 >>. . >>. . >>N N >> >>Can this be represented with a math function? >> >>(Only consider positive integers >= 0) > >It's already a function since for each x in the domain, there >is a unique y. > >Presumably you want a "formula". > >The function f defined on the set of nonnegative integers >by the formula > > f(x) = ((x-1)*(((2*x-1)/abs(2*x-1))+1)/2)+1 > >is not pretty but it works.
Given the storm in a teacup going on in another thread at the moment, this springs to mind.
f(x) = x + 0^x
Using of course the convention that 0^0 = 1 but 0^n = 0 for positive integers n. -- David Hartley