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Is there any formula which can help me to find a function which increases the function value by $0.5$ at every step of length $= 40$?

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$y = \dfrac{\lfloor \frac{x}{40} \rfloor}{2}$.

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$$\frac12 \int_0^x \delta\left(\sin\left(\frac {\pi z}{40}\right)\right)dz$$

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