mathcal in equation

Question

any suggestions to produce this equation using Mathcal
My code :
 [
mathsf{S_j}=mathcal{X} mathsf{IG}(upsilon_{1},T_{1})+(1-mathcal{X}) 
 mathsf{IG}(upsilon (mathsf{S_{j-1}}), T(tilde{mathsf {V}}))
 ]

what i wanted as output :

Vincent · Answer

This symbol that looks a bit like a calligraphic "x" is in fact a kappa, which can be obtained with the command varkappa. The output of the following example seems to match the picture you posted in the question.
documentclass{article}
usepackage{amsmath, amssymb}
begin{document}
[
S_j = varkappa IG(v_1, T_1) + (1 - varkappa) IG bigl( v(S_{j-1}), T(bar{V}) bigr)
]
end{document}

mathcal in equation

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