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 November 9th, 2016, 02:55 AM #1 Newbie   Joined: Nov 2016 From: Usa Posts: 6 Thanks: 0 Function name What is the function increase the curve of the curve? Increases the slope of every data on the curve?
 November 9th, 2016, 02:36 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,856 Thanks: 964 it sounds vaguely like you are looking for the exponential function
 November 9th, 2016, 08:11 PM #3 Newbie   Joined: Nov 2016 From: Usa Posts: 6 Thanks: 0 Exponential function didn't blend the inside of the curve. I want something blend the middle portion of the curve with both tails at value 1, with gentle or steep slope; both tails are at value 1. Last edited by skipjack; November 11th, 2016 at 08:13 AM.
November 9th, 2016, 08:17 PM   #4
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Quote:
 Originally Posted by Kelruy Exponential function didn't blend the inside of the curve. I want something blend the middle portion of the curve with both tails at value 1, with gentle or steep slope; both tails are at value 1.
Can you post a drawing of this curve?

Last edited by skipjack; November 11th, 2016 at 08:14 AM.

 November 9th, 2016, 08:42 PM #5 Global Moderator   Joined: Dec 2006 Posts: 18,844 Thanks: 1566 Is the curve supposed to look like part of a sine wave (so that it has finite length), or should it be "bell-shaped", so that it has a horizontal asymptote and its length is infinite?
November 9th, 2016, 09:08 PM   #6
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Quote:
 Originally Posted by romsek it sounds vague ...
fify

 November 10th, 2016, 12:34 AM #7 Newbie   Joined: Nov 2016 From: Usa Posts: 6 Thanks: 0 https://plus.maths.org/content/sites...nes_bezier.jpg Similar to the curve with both contain at 1 y axis and 1 x axis The function should allow gentler slope or steep slope but both contain at 1 y axis and 1 x axis
 November 10th, 2016, 02:05 AM #8 Global Moderator   Joined: Dec 2006 Posts: 18,844 Thanks: 1566 Try y = (1 - √x)^n, where n is at least 1 and needn't be an integer.
 November 10th, 2016, 02:19 AM #9 Newbie   Joined: Nov 2016 From: Usa Posts: 6 Thanks: 0 No did not draw correctly
 November 11th, 2016, 07:14 AM #10 Global Moderator   Joined: Dec 2006 Posts: 18,844 Thanks: 1566 What was incorrect about it? Use y = (1 - √|x|)^n, with x ∈ [-1, 1], for a "2-sided" curve.

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