\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$CTI_{ik} = \frac{{N_sr_p}}{{\sqrt {N_{ji}N_{jk}} }}$$\end{document}CTIik=NsrpNjiNjk(b) Cross-trait intercept between GWAS i and k. Ns represents the sample overlap; rp indicates the phenotypic correlation; Nji and Njk are the sample sizes at SNP j for, respectively, GWASs i and k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N_{\rm{eff}} = \sqrt {N^T} CTI^{ - 1}\sqrt N$$\end{document}Neff=NTCTI−1N(c) N is an P-sized vector of sample sizes, and CTI is the P × P matrix of cross-trait-intercepts.