I am reading a paper that has the following piecewise function:
I am not sure what the arrows and + in the subscript mean here. I am interpreting it as follows, please correct me if this is wrong. It would be great if you kindly direct me to a resource that defines these notations.
My interpretation:
- $H(t)$ is zero when $t$ is less than or equal to zero and when $t$ is greater than or equal to $\Delta T_p$.
- $H(t)$ approaches 1 when $t$ approaches any value greater than 0.
- $H(t)$ approaches 0 when $t$ approaches $\Delta T_p$.
Please correct if my interpretation is wrong. I am sure that I am missing something here, because when $t$ is greater than 0 and less than $\Delta T_p$, $H(t)$ appears to be approaching 1 and zero.
Reference
The paper the function is from is:
Svärd, M., Markkula, G., Engström, J., Granum, F. and Bärgman, J., 2017, September. A quantitative driver model of pre-crash brake onset and control. In Proceedings of the Human Factors and Ergonomics Society Annual Meeting (Vol. 61, No. 1, pp. 339-343). Sage CA: Los Angeles, CA: SAGE Publications.