The contravariant and covariant components of these vectors may be related by
2.
Likewise, vectors with covariant components transform in the opposite way as changes in the coordinates.
3.
The valence of a tensor is the number of variant and covariant terms, and in Einstein notation, covariant components have lower indices, while contravariant components have upper indices.
4.
Is the kinetic energy of the particle, and " g bc " the covariant components of the " metric tensor " of the curvilinear coordinate system.
5.
And the equation takes the form ( remembering the definition of the covariant components of the 4-gradient and especially that = " " t " } })
6.
This equation is called the Cauchy momentum equation and describes the non-relativistic momentum conservation of " any " continuum that conserves mass . \ boldsymbol { \ sigma } is a rank two symmetric tensor given by its covariant components.
7.
Also the components of a vector can be vividly demonstrated by such diagrams ( Fig . 3 ) : The parallel projections ( x, t; x', t') of vector R are its contravariant components, ( \ xi, \ tau; \ xi', \ tau') its covariant components.
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