I've tried to create this type of function but can't seem to create an equation with both
N nsodf New member Joined Apr 23, 2020 Messages 2 Apr 23, 2020 #1 I've tried to create this type of function but can't seem to create an equation with both
MarkFL Super Moderator Staff member Joined Nov 24, 2012 Messages 3,021 Apr 23, 2020 #2 Yes, an example that springs to mind is the standard normal distribution. Here is a plot showing the points of inflection: [MATH]y=\frac{1}{\sqrt{2\pi}}e^{-\frac{x^2}{2}}[/MATH] The \(x\)-axis is the horizontal asymptote.
Yes, an example that springs to mind is the standard normal distribution. Here is a plot showing the points of inflection: [MATH]y=\frac{1}{\sqrt{2\pi}}e^{-\frac{x^2}{2}}[/MATH] The \(x\)-axis is the horizontal asymptote.
Dr.Peterson Elite Member Joined Nov 12, 2017 Messages 16,092 Apr 23, 2020 #3 If you are looking for a rational function, you can make one that looks very similar to this.
topsquark Senior Member Joined Aug 27, 2012 Messages 2,269 Apr 23, 2020 #4 Hydrogen probability functions are fun, too. This is the 2s state of Hydrogen. [math]R(r) = r^2 (2 - r )^2 e^{-r}[/math]. (I've set [math]a_0 = 1[/math] for clarity.) Ignore the -x part. -Dan
Hydrogen probability functions are fun, too. This is the 2s state of Hydrogen. [math]R(r) = r^2 (2 - r )^2 e^{-r}[/math]. (I've set [math]a_0 = 1[/math] for clarity.) Ignore the -x part. -Dan
N nsodf New member Joined Apr 23, 2020 Messages 2 Apr 23, 2020 #5 Can you give an example of a rational function?
MarkFL Super Moderator Staff member Joined Nov 24, 2012 Messages 3,021 Apr 23, 2020 #6 nsodf said: Can you give an example of a rational function? Click to expand... Try: [MATH]f(x)=\frac{1}{x^2+1}[/MATH]
nsodf said: Can you give an example of a rational function? Click to expand... Try: [MATH]f(x)=\frac{1}{x^2+1}[/MATH]