\placetable[here]{Standard deviation using various correlation coefficients}
\starttable{| | lm |}
	\NC {\bf $\rho_{AB}$}	\NC {\bf Expression}	\NC\SR
	\HL
	\NC  1	\NC X_A \sigma_A + (1 - X_A)\sigma_B	\NC\FR
	\NC	0.5	\NC	\left(X_A^2 \sigma_A^2 + \left(1 - X_A\right)^2 \sigma_B^2 + X_A\left(1 - X_A\right) \sigma_A \sigma_B \right)^{\frac{1}{2}}	\NC\MR
	\NC  0	\NC \left(X_A^2 \sigma_A^2 + \left(1 - X_A\right)^2 \sigma_B^2\right)^{\frac{1}{2}}	\NC\MR
	\NC -1	\NC \left(X_A \sigma_A - \left(1 - X_A\right)\sigma_B\right) \, , \,	\left(-X_A \sigma_A + \left(1 - X_A\right)\sigma_B\right)	\NC\LR
	\HL
\stoptable

