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Topic: Help with creating a function
Replies: 12   Last Post: Nov 19, 2013 3:48 AM

 Messages: [ Previous | Next ]
 quasi Posts: 12,067 Registered: 7/15/05
Re: Help with creating a function
Posted: Nov 18, 2013 6:50 AM

David Hartley wrote:
>quasi wrote:
>>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.

Hehe.

Very cool.

quasi

Date Subject Author
11/18/13 Robert Crandal
11/18/13 quasi
11/18/13 Robert Crandal
11/18/13 quasi
11/18/13 David Hartley
11/18/13 quasi
11/18/13 Roland Franzius
11/18/13 quasi
11/18/13 quasi
11/19/13 quasi
11/18/13 Richard Tobin
11/18/13 Stuart M Newberger
11/18/13 Peter Percival