DLMF:23.21.E5 (Q7387)

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DLMF:23.21.E5
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    ( ( v ) - ( w ) ) ( ( w ) - ( u ) ) ( ( u ) - ( v ) ) 2 = ( ( w ) - ( v ) ) 2 u 2 + ( ( u ) - ( w ) ) 2 v 2 + ( ( v ) - ( u ) ) 2 w 2 . Weierstrass-P-on-lattice 𝑣 𝕃 Weierstrass-P-on-lattice 𝑤 𝕃 Weierstrass-P-on-lattice 𝑤 𝕃 Weierstrass-P-on-lattice 𝑢 𝕃 Weierstrass-P-on-lattice 𝑢 𝕃 Weierstrass-P-on-lattice 𝑣 𝕃 superscript 2 Weierstrass-P-on-lattice 𝑤 𝕃 Weierstrass-P-on-lattice 𝑣 𝕃 partial-derivative 𝑢 2 Weierstrass-P-on-lattice 𝑢 𝕃 Weierstrass-P-on-lattice 𝑤 𝕃 partial-derivative 𝑣 2 Weierstrass-P-on-lattice 𝑣 𝕃 Weierstrass-P-on-lattice 𝑢 𝕃 partial-derivative 𝑤 2 {\displaystyle{\displaystyle\left(\wp\left(v\right)-\wp\left(w\right)\right)% \left(\wp\left(w\right)-\wp\left(u\right)\right)\left(\wp\left(u\right)-\wp% \left(v\right)\right)\nabla^{2}=\left(\wp\left(w\right)-\wp\left(v\right)% \right)\frac{{\partial}^{2}}{{\partial u}^{2}}+\left(\wp\left(u\right)-\wp% \left(w\right)\right)\frac{{\partial}^{2}}{{\partial v}^{2}}+\left(\wp\left(v% \right)-\wp\left(u\right)\right)\frac{{\partial}^{2}}{{\partial w}^{2}}.}}
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    DLMF:23.21.E5
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