anonymous
  • anonymous
What is the rule to get this list of ordered pairs : (0,0),(1,1),(2,1),(3,2),(4,2),(5,3),(6,3),...
Mathematics
katieb
  • katieb
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TuringTest
  • TuringTest
perhaps whenever x is odd add one to y ?
TuringTest
  • TuringTest
..or you want an equation?
ParthKohli
  • ParthKohli
\(\Large \color{purple}{ 1) x + 1,y + 1 }\) \(\Large \color{purple}{ 2) x + 1, y }\) It keeps repeating.

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anonymous
  • anonymous
and expression for the n-th term.
anonymous
  • anonymous
Well I actually got it from a while loop, and I wanted to know if I can translate it to a mathematical expression.
ParthKohli
  • ParthKohli
No, you have to use the programming if - else, or while - do
TuringTest
  • TuringTest
should be like (n,n/2) when n is even and (n,n/2+1) when n is odd how to combine them (you using python?)
ParthKohli
  • ParthKohli
@TuringTest lol, Do - while is in every language
TuringTest
  • TuringTest
I ask because I am learning python and wanted tips if No-Data is an expert ..sort of a separate Q
anonymous
  • anonymous
This is what it does: x = 0, y = 0 y = x - y x = x + 1
anonymous
  • anonymous
Sorry Turing I'm not a expert, I'm actually learning some Java, but I got distracted with this thing hehe.
anonymous
  • anonymous
thank you both.
amistre64
  • amistre64
what you have typed up is already a recurrsive definition; and it might have to be piecewise defined to be explicit as has already been pointed out
anonymous
  • anonymous
There is no way of expressing it without in the piecewise way?. I'm so fool because I can't see it from the code =/
amistre64
  • amistre64
if you are trying to confine yourself to a limited method, your going to be limited in your results .... the piecewise functions are real and useable function ... as is it looks like y is increaseing at half the rate of x, and if you can use a ceiling or floor function to weed it up or down as needed, you might be able to code it up sufficiently with a 0,0 condition as separate
amistre64
  • amistre64
if we ratio it out: \[1,2,1\frac{1}{2},2,1\frac{1}{3},2,1\frac{1}{4},2,1\frac{1}{5},2,1\frac{1}{6},...\]
amistre64
  • amistre64
\[f(x')=1+\frac{1}{x};\ x\in Odd\]\[f(x')=2;\ x\in Even\] prolly bad notations, but the slope of each discrete point would be something like this
amistre64
  • amistre64
1 + 1/n maybe better; for x in Odd
anonymous
  • anonymous
Thank you amistre64 I'll try to understand that.
anonymous
  • anonymous
I just th
anonymous
  • anonymous
I just thought it would be easier to do without piecewise functions, but now I see it is not.
amistre64
  • amistre64
computers are great with piecewises ;) good luck with it
TuringTest
  • TuringTest
sorry no-Data I had to take your medal away and give it to amistre... his was the best answer :P
anonymous
  • anonymous
No problem TuringTest I actually was asking for an answer and that is what amistre64 gave me.
anonymous
  • anonymous
Although I didn't know someone could change his mind about a medal.

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