Jacobian Elliptic Functions - 23.2 Definitions and Periodic Properties

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
23.2.E1	${\displaystyle{\displaystyle\omega_{1}+\omega_{2}+\omega_{3}=0}}$ \omega_{1}+\omega_{2}+\omega_{3} = 0		omega[1]+ omega[2]+ omega[3] = 0	Subscript[\[Omega], 1]+ Subscript[\[Omega], 2]+ Subscript[\[Omega], 3] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
23.2#Ex1	${\displaystyle{\displaystyle\chi_{1}=a\omega_{1}+b\omega_{3}}}$ \chi_{1} = a\omega_{1}+b\omega_{3}		chi[1] = a*omega[1]+ b*omega[3]	Subscript[\[Chi], 1] == a*Subscript[\[Omega], 1]+ b*Subscript[\[Omega], 3]	Skipped - no semantic math	Skipped - no semantic math	-	-
23.2#Ex2	${\displaystyle{\displaystyle\chi_{3}=c\omega_{1}+d\omega_{3}}}$ \chi_{3} = c\omega_{1}+d\omega_{3}		chi[3] = c*omega[1]+ d*omega[3]	Subscript[\[Chi], 3] == c*Subscript[\[Omega], 1]+ d*Subscript[\[Omega], 3]	Skipped - no semantic math	Skipped - no semantic math	-	-
23.2.E3	${\displaystyle{\displaystyle ad-bc=1}}$ ad-bc = 1		a*d - b*c = 1	a*d - b*c == 1	Skipped - no semantic math	Skipped - no semantic math	-	-
23.2.E13	${\displaystyle{\displaystyle\eta_{1}+\eta_{2}+\eta_{3}=0}}$ \eta_{1}+\eta_{2}+\eta_{3} = 0		eta[1]+ eta[2]+ eta[3] = 0	Subscript[\[Eta], 1]+ Subscript[\[Eta], 2]+ Subscript[\[Eta], 3] == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
23.2.E14	${\displaystyle{\displaystyle\eta_{3}\omega_{2}-\eta_{2}\omega_{3}=\eta_{2}\omega_{1}-\eta_{1}\omega_{2}}}$ \eta_{3}\omega_{2}-\eta_{2}\omega_{3} = \eta_{2}\omega_{1}-\eta_{1}\omega_{2}		eta[3]*omega[2]- eta[2]*omega[3] = eta[2]*omega[1]- eta[1]*omega[2]	Subscript[\[Eta], 3]*Subscript[\[Omega], 2]- Subscript[\[Eta], 2]*Subscript[\[Omega], 3] == Subscript[\[Eta], 2]*Subscript[\[Omega], 1]- Subscript[\[Eta], 1]*Subscript[\[Omega], 2]	Skipped - no semantic math	Skipped - no semantic math	-	-