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aikyk angle antisymmetrical tensor associated vector axis called Cartesian CARTESIAN TENSORS centroid Chapter circuit coefficient components consider constant contribution coordinates cyclic order d'Alembert's principle denote density determinant direction cosines distance dynamical axes eikm elastic solid element of volume equal and opposite equations of motion expressed external forces finite fluid force Xt forces acting function Gauss's Theorem gives Green's Theorem HAROLD JEFFREYS heat heat conduction Hence hydrodynamics integral interchange internal energy isotropic tensor ltlk normal notation parallel parallelepiped particle perpendicular plane positive potential products of inertia rigid body rotation scalar product second order set of axes set of quantities small displacement stress suffixes summation symmetrical and antisymmetrical symmetrical tensor temperature tensor of order Theorem tion unaltered utvk values vanishes velocity vorticity xkXt Xt acting xtXk ykXt ytXk zero