# Finding General Function f(m,n) for Points Graphs

• Emilijo
Can you please provide more information about the problem you are trying to solve and the specific equations or functions you are looking for?
Emilijo

## Homework Statement

I need to get a general function in 2 variables f(m,n). You can see a graphicon with charasteristic points:
In the first example m=2 (m is period).
https://www.physicsforums.com/attachm...1&d=1329945735
In the next example m=3:
https://www.physicsforums.com/attachm...1&d=1329945822
For m=4:
https://www.physicsforums.com/attachm...1&d=1329945902
and so on.

The task is to find a general function f(m,n) with these terms:
The function has to be periodic.
The function has to include those blue and red points in each example.
The value of the function has to be f(m,n) =1 ONLY in blue points, and the value of the function has to be f(m,n)=0 ONLY in red points.

The look of the function isn't important as long as it complies with previous terms.

see above

## The Attempt at a Solution

try to use absolute, trigonometric functions

Last edited by a moderator:
Your attachments don't seem to be working.

## 1. What is the purpose of finding the general function f(m,n) for points graphs?

The purpose of finding the general function f(m,n) for points graphs is to determine a mathematical relationship between two variables, m and n, based on a given set of data points. This function can then be used to make predictions or analyze the behavior of the variables.

## 2. How do you find the general function f(m,n) for points graphs?

To find the general function f(m,n) for points graphs, you must first plot the given data points on a graph. Then, you can use techniques such as interpolation, regression, or curve fitting to determine the best fit function that represents the data points. This function will be in the form of f(m,n) and can be written as an equation.

## 3. What are the different methods for finding the general function f(m,n) for points graphs?

There are several methods for finding the general function f(m,n) for points graphs, including linear regression, polynomial regression, and exponential regression. Each method has its own advantages and is suitable for different types of data and relationships between variables.

## 4. Can the general function f(m,n) for points graphs be used to make accurate predictions?

Yes, the general function f(m,n) for points graphs can be used to make predictions about the behavior of the variables m and n. However, the accuracy of these predictions depends on the quality of the data and the appropriateness of the chosen function. It is important to validate the function by comparing its predicted values to actual data points.

## 5. How do you know if the general function f(m,n) for points graphs is the best fit for the data?

There are various methods for evaluating the fit of a function to a set of data points, such as calculating the coefficient of determination (R-squared), residual analysis, and visual inspection of the plotted data points and the function. The function that gives the highest R-squared value or has the smallest residuals is generally considered the best fit for the data.

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