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![[tex]X_{G} = \frac{ \iint_{R}{x \cdot \delta (x,y) \,\, dxdy} } { \iint_{R}{ \delta (x,y) \,\, dxdy} } [/tex]](images/latex/12abb89f20fd6db730c16d42bbbf66c6c82f4981_0.png "[tex]X_{G} = \frac{ \iint_{R}{x \cdot \delta (x,y) \,\, dxdy} } { \iint_{R}{ \delta (x,y) \,\, dxdy} } [/tex]")
![[tex]Y_{G} = \frac{ \iint_{R}{y \cdot \delta (x,y) \,\, dxdy} } { \iint_{R}{ \delta (x,y) \,\, dxdy} } [/tex]](images/latex/8ec3107268397cf36b85a92f1021798bb7df32d5_0.png "[tex]Y_{G} = \frac{ \iint_{R}{y \cdot \delta (x,y) \,\, dxdy} } { \iint_{R}{ \delta (x,y) \,\, dxdy} } [/tex]")
![[tex]\delta (x,y) = k \cdot |x|[/tex]](images/latex/1a97cdf56e756f6b61722549fd894d4249ece78d_0.png "[tex]\delta (x,y) = k \cdot |x|[/tex]")
la densidad en cada punto.
![[tex]XZ_{G} = \frac{ \iiint_{V}{x.z \cdot \delta (x,y,z) \,\, dxdydz} } { \iiint_{V}{ \delta (x,y,z) \,\, dxdydz} } [/tex]](images/latex/7ac2deb1e889dc9e4f1913fa62d1187a77137bb4_0.png "[tex]XZ_{G} = \frac{ \iiint_{V}{x.z \cdot \delta (x,y,z) \,\, dxdydz} } { \iiint_{V}{ \delta (x,y,z) \,\, dxdydz} } [/tex]")
![[tex] \nabla ^u \nabla_u \phi = g^{ij} \Big( \frac{\partial ^2 \phi}{\partial x^i \partial x^j} - \Gamma^{k}_{ij} \frac{\partial \phi}{\partial x^k} \Big)\\\\\frac{\partial \sigma^{ij}}{\partial x^i} + \sigma^{kj} \Gamma^i _{ki} + \sigma^{ik} \Gamma^j _{ki} = 0[/tex]](images/latex/99f2e51931163431f7feb4825fc711ebccd99981_0.png "[tex] \nabla ^u \nabla_u \phi = g^{ij} \Big( \frac{\partial ^2 \phi}{\partial x^i \partial x^j} - \Gamma^{k}_{ij} \frac{\partial \phi}{\partial x^k} \Big)\\\\\frac{\partial \sigma^{ij}}{\partial x^i} + \sigma^{kj} \Gamma^i _{ki} + \sigma^{ik} \Gamma^j _{ki} = 0[/tex]")
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