Levi-Civita symbol

The Levi-Civita symbol is denoted by iJk and is antisymmetric in all three indices. It is defined by... 

Its primary use in our applications is for expressing various commutation relations in compact form and performing calculations involving them. The Levi-Civita symbol also arises naturally in vector analysis. Thus, if et, i = 1, 2, 3, are three mutually perpendicular unit vectors defining a right-handed coordinate system, then... 

Levi-Civita symbol 85 Lewis number 66 light gathering power 31 light second 110 light year 110 line width 31... 

Here we used the projection operator 3 = 3ij — riiiij, and is the Levi-Civita symbol. In the nematodynamics the Frank constants Ki (i = 1, 2, 3) should be adiabatic ones however, since e-p is the homogeneous quadratic form of V n,- the adiabatic and isothermal constants are the same [12]. In this section, we shall consider the case where the external electric and magnetic fields are absent. By virtue of local equilibrium, we have the following thermodynamic equations in laboratory frame ... 

E emittance Levi-Civita symbol linear strain molar... 

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