- #1

Emilijo

- 36

- 0

## Homework Statement

I need to get a general function in 2 variables f(m,n).

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.

## Homework Equations

You can see a graphicon with charasteristic points:

In the first example m=2 (m is period).

In the next example m=3:

For m=4:

and so on.

## The Attempt at a Solution

In first example (for m=2) I used functions: sin and absolute, but for all other m,

it is not possible with only those functions, I also tried use the Fourier series but I don't have so

much knowledge in mathematics to built a such function.

Does somebody know how to do it?

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