1. The differential volume elements are also written " " or " ". 2. Thus a volume element is an expression of the form 3. Which is admittedly Newton's second law applied on a flowing infinitesimal volume element . 4. This volume factor can be recovered by specifying a volume element for each spacetime point. 5. Where * ( 1 ) is the volume element , the Hodge dual of the constant 1. 6. Analytical or numerical fiber reinforced composites involves the study of a representative volume element ( RVE ). 7. Finite element methods base on balancing the forces on a differential volume element and calculating its response. 8. But I'm working with projective transformations now, and these volume elements aren't preserved. 9. Where we have used that ( for compact groups ) the volume element in group space defines and invariant measure: 10. A "'representative disk "'is a three-dimensional volume element of a solid of revolution.