\[
\begin{aligned}
V_{TH} &= \left(\frac{1+R}{R}\right) V_{REF} \;-\; \left(\frac{1}{R}\right)
V_{N},\\[8pt]
V_{TL} &= \left(\frac{1+R}{R}\right) V_{REF} \;-\; \left(\frac{1}{R}\right)
V_{P},\\[8pt]
V_{REF} &= V_{N} \;+\; \left(\frac{R}{1+R}\right)\left(V_{TH}-V_{N}\right),\\[8pt]
R &= \frac{V_{P}-V_{N}}{V_{TH}-V_{TL}}.
\end{aligned}
\]
\[
\begin{array}{r l}
V_{P} & = \text{positive supply voltage} \\[4pt]
V_{N} & = \text{negative supply voltage} \\[4pt]
V_{TH} & = \text{high threshold voltage} \\[4pt]
V_{TL} & = \text{low threshold voltage} \\[4pt]
V_{REF} & = \text{reference voltage} \\[4pt]
R & = \text{resistance ratio }(R_2/R_1)
\end{array}
\]