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Fix crucial typo in pedestrian Social Force potential definition #10

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2 changes: 1 addition & 1 deletion guide/pedped_1d.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -39,7 +39,7 @@
"with its two parameters $V_0$ and $\\sigma$. Although it is a single-argument\n",
"function, the argument $b$ is the semi-minor axis of an ellipse, a 2D object:\n",
"\\begin{align}\n",
" 2b &= \\sqrt{||\\vec{r}_{\\alpha\\beta}|| + ||\\vec{r}_{\\alpha\\beta} - v_{\\beta}\\Delta t \\vec{e}_{\\beta}|| - (v_{\\beta}\\Delta t)^2}\n",
" 2b &= \\sqrt{(||\\vec{r}_{\\alpha\\beta}|| + ||\\vec{r}_{\\alpha\\beta} - v_{\\beta}\\Delta t \\vec{e}_{\\beta}||)^2 - (v_{\\beta}\\Delta t)^2}\n",
"\\end{align}\n",
"as defined in {cite}`helbing1995social` with $\\vec{r}_{\\alpha\\beta} = \\vec{r}_{\\alpha} - \\vec{r}_{\\beta}$. \n",
"We can compare this with $2b = \\sqrt{(p + q)^2 - d^2}$ where the\n",
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