# axial vector in a sentence

1) The rotation vector is an example of an axial vector .

2) Bivectors and axial vectors are related by Hodge dual.

axial collocations
3) Bivectors have a number of advantages over axial vectors .

4) However, Maxwell's equations are invariant under parity because the curl of an axial vector is a vector.

## axial vector example sentences

5) Alternatively, the dependence on orientation is expressed in referring to such that specifies a rotation as to "axial vectors ".

6) It is these properties of __FORMULA__ and __FORMULA__ under __FORMULA__ that motivate the terms "vector" for __FORMULA__ and pseudovector or "axial vector " for __FORMULA__.

7) The chiral bag model couples the axial vector current __FORMULA__ of the quarks at the bag boundary to a pionic field outside of the bag.

8) However, E. C. George Sudarshan and Robert Marshak were the first proponents of the successful V-A (vector minus axial vector, or left-handed) theory for weak interactions in 1957.

9) In classical electrodynamics, the charge density "ρ" is a scalar, the electric field, E, and current j are vectors, but the magnetic field, H is an axial vector .

10) Such quantities can be described as bivectors in geometric algebra; that is quantities that might use axial vectors in vector algebra are better represented by bivectors in geometric algebra.

11) axial vectors or pseudovectors are vectors that undergo a sign change compared to normal or polar vectors under inversion, that is when reflected or otherwise inverted.

12) If one reverses the orientation, then the formula above becomes __FORMULA__, i.e., a unit __FORMULA__ is replaced with the conjugate quaternion – the same behaviour as of axial vectors .

13) He says: "The terms "axial vector " and "pseudovector" are often treated as synonymous, but it is quite useful to be able to distinguish a bivector from its dual.

14) Technically, __FORMULA__ is a pseudovector (also called an "axial vector ") due to being defined by a vector cross product.

### example sentences with axial

15) In 1957, Robert Marshak and George Sudarshan and, somewhat later, Richard Feynman and Murray Gell-Mann proposed a V−A (vector minus axial vector or left-handed) Lagrangian for weak interactions.

16) A vector which gains a minus sign when the orientation of space changes is called a "pseudovector" or an "axial vector ".

17) However, angular momentum L is an axial vector ,

18) "axial vector " at Encyclopaedia of Mathematics

19) See §52-5: Polar and axial vectors, p. 52-6

20) More precisely, the Hodge dual gives the isomorphism between axial vectors and bivectors, so each axial vector is associated with a bivector and vice-versa; that is

21) More precisely, the Hodge dual gives the isomorphism between axial vectors and bivectors, so each axial vector is associated with a bivector and vice-versa; that is

22) Applied to three dimensions, the Hodge dual provides an isomorphism between axial vectors and bivectors, so each axial vector a is associated with a bivector __FORMULA__ and vice-versa, that is:

23) Applied to three dimensions, the Hodge dual provides an isomorphism between axial vectors and bivectors, so each axial vector a is associated with a bivector __FORMULA__ and vice-versa, that is:

24) 1957 Richard Feynman, Murray Gell-Mann, Robert Marshak, and E.C.G. Sudarshan propose a vector/axial vector (VA) Lagrangian for weak interactions.

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