Weierstrass Elliptic and Modular Functions - 23.20 Mathematical Applications

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
23.20#Ex1	${\displaystyle{\displaystyle x_{3}=m^{2}-x_{1}-x_{2}}}$ x_{3} = m^{2}-x_{1}-x_{2}		x[3] = (m)^(2)- x[1]- x[2]	Subscript[x, 3] == (m)^(2)- Subscript[x, 1]- Subscript[x, 2]	Skipped - no semantic math	Skipped - no semantic math	-	-
23.20#Ex2	${\displaystyle{\displaystyle y_{3}=-m(x_{3}-x_{1})-y_{1}}}$ y_{3} = -m(x_{3}-x_{1})-y_{1}		y[3] = - m*(x[3]- x[1])- y[1]	Subscript[y, 3] == - m*(Subscript[x, 3]- Subscript[x, 1])- Subscript[y, 1]	Skipped - no semantic math	Skipped - no semantic math	-	-
23.20.E5	${\displaystyle{\displaystyle v^{8}(1+u^{8})=4u^{4}}}$ v^{8}(1+u^{8}) = 4u^{4}	${\displaystyle{\displaystyle p=2}}$	(v)^(8)*(1 + (u)^(8)) = 4*(u)^(4)	(v)^(8)*(1 + (u)^(8)) == 4*(u)^(4)	Skipped - no semantic math	Skipped - no semantic math	-	-
23.20.E6	${\displaystyle{\displaystyle u^{4}-v^{4}+2uv(1-u^{2}v^{2})=0}}$ u^{4}-v^{4}+2uv(1-u^{2}v^{2}) = 0	${\displaystyle{\displaystyle p=3}}$	(u)^(4)- (v)^(4)+ 2*u*v*(1 - (u)^(2)* (v)^(2)) = 0	(u)^(4)- (v)^(4)+ 2*u*v*(1 - (u)^(2)* (v)^(2)) == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
23.20.E7	${\displaystyle{\displaystyle u^{6}-v^{6}+5u^{2}v^{2}(u^{2}-v^{2})+4uv(1-u^{4}v^{4})=0}}$ u^{6}-v^{6}+5u^{2}v^{2}(u^{2}-v^{2})+4uv(1-u^{4}v^{4}) = 0	${\displaystyle{\displaystyle p=5}}$	(u)^(6)- (v)^(6)+ 5*(u)^(2)* (v)^(2)*((u)^(2)- (v)^(2))+ 4*u*v*(1 - (u)^(4)* (v)^(4)) = 0	(u)^(6)- (v)^(6)+ 5*(u)^(2)* (v)^(2)*((u)^(2)- (v)^(2))+ 4*u*v*(1 - (u)^(4)* (v)^(4)) == 0	Skipped - no semantic math	Skipped - no semantic math	-	-
23.20.E8	${\displaystyle{\displaystyle(1-u^{8})(1-v^{8})=(1-uv)^{8}}}$ (1-u^{8})(1-v^{8}) = (1-uv)^{8}	${\displaystyle{\displaystyle p=7}}$	(1 - (u)^(8))*(1 - (v)^(8)) = (1 - u*v)^(8)	(1 - (u)^(8))*(1 - (v)^(8)) == (1 - u*v)^(8)	Skipped - no semantic math	Skipped - no semantic math	-	-