# I want to smooth this function plot

• B
Hi,
I have the following function, which is computed by: (x+n)/(x+y+n+m),
where x, y are real numbers
n, m are natural numbers What techniques I can use to smooth the function preventing it to jump up or down at an early stage.

Thanks

Office_Shredder
Staff Emeritus
Gold Member
I'm confused, your axis on the bottom is labeled as T, what does that have to do with your function?

I kind of assumed x and y were both inputs into your function, so I'm confused how you graphed it like this in general.

• I'm confused, your axis on the bottom is labeled as T, what does that have to do with your function?

I kind of assumed x and y were both inputs into your function, so I'm confused how you graphed it like this in general.
Thank you. T represents the time. It seems that n increases quickly in the early timesteps. I am still thinking of ways to use T in the formula.

jbriggs444
Homework Helper
Thank you. T represents the time. It seems that n increases quickly in the early timesteps. I am still thinking of ways to use T in the formula.
You have still not told us what it is that you have graphed.

• Mark44
Mentor
The graph in post #1 makes no sense given your formula. The labels on the graph are C and T, but the formula appears to be a function of x and y, as well as m and n.

Disregarding the m and n terms for the moment, if you have ##f(x, y) = \frac x {x + y}##, the graph will be a surface in three dimensions, with a discontinuity along the line y = -x.

Last edited:
• fresh_42
Mentor
The formula, as well as the graph, are already smooth within their domain.

• Thank you. Yes, I just want to slow down the jump at the beginning.

berkeman
Mentor
Thank you. Yes, I just want to slow down the jump at the beginning.

x(T)
n(T)
y(T)
m(T)

• fresh_42

x(T)
n(T)
y(T)
m(T)
x,n,y,m are variables that are changing over time

berkeman
Mentor
x,n,y,m are variables
You have a plot with them! Show us the funtion that you used to generate the plot please.

You have a plot with them! Show us the funtion that you used to generate the plot please.
I construct the function but not fully sure if it is the best way to put all the variables together. I am building a simulation and trying to model human decisions but my model is very simple. The function is above with the question. x and y represent positive and negative personal experiences. n and m represent positive and negative opinions on social media. I assume the combination of all variables specifies the probability of consumption. Because at the beginning of the simulation, social media has 0 opinions, at step 1, multiple opinions are posted.

fresh_42
Mentor
You have plotted a function ##F\, : \, \mathbb{R}^+\longrightarrow [0,1]## which means for any value ##T\in \mathbb{R}^+## you plotted a point ##(T,F(T)).## Our question is: What is ##F##? It depends only on ##T##, so how do we get from ##\dfrac{x+n}{x+n+y+m}## to ##F(T)##?

You have plotted a function ##F\, : \, \mathbb{R}^+\longrightarrow [0,1]## which means for any value ##T\in \mathbb{R}^+## you plotted a point ##(T,F(T)).## Our question is: What is ##F##? It depends only on ##T##, so how do we get from ##\dfrac{x+n}{x+n+y+m}## to ##F(T)##?
F depends on all x,y,n,m, and T also.

berkeman
Mentor
Sigh. Your obfuscations will get you nowhere...

Whatever. If you don't like the first point, then just don't plot it. How's that for a solution?

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