# axial vector in a sentence

1) The rotation

**vector**is an example of an

**axial**

**vector**.

2) Bi

**vectors**and

**axial**

**vectors**are related by Hodge dual.

axial collocations

3) Bi

**vectors**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 pseudo

**vector**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 bi

**vectors**in geometric algebra; that is quantities that might use

**axial**

**vectors**in

**vector**algebra are better represented by bi

**vectors**in geometric algebra.

11)

**axial**

**vectors**or pseudo

**vectors**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 bi

**vector**from its dual.

14) Technically, __FORMULA__ is a pseudo

**vector**(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 bi

**vectors**, so each

**axial**

**vector**is associated with a bi

**vector**and vice-versa; that is

21) More precisely, the Hodge dual gives the isomorphism between

**axial**

**vectors**and bi

**vectors**, so each

**axial**

**vector**is associated with a bi

**vector**and vice-versa; that is

22) Applied to three dimensions, the Hodge dual provides an isomorphism between

**axial**

**vectors**and bi

**vectors**, so each

**axial**

**vector**a is associated with a bi

**vector**__FORMULA__ and vice-versa, that is:

23) Applied to three dimensions, the Hodge dual provides an isomorphism between

**axial**

**vectors**and bi

**vectors**, so each

**axial**

**vector**a is associated with a bi

**vector**__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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