Sentence examples for space of -forms from inspiring English sources

The Sobolev space of -forms is.

As usual, is used to denote the Sobolev space of -forms, which equals with norm (13).

As usual, is used to denote the Sobolev space of -forms, which equals with norm (1.5).

A differential -form on is a schwartz distribution on with value in, we denote the space of differential -forms by.

Let be the space of smooth -forms on and (1.13).

Let,, be the linear space of all -forms with summation over all ordered -tuples,.

Let be the th exterior power of the cotangent bundle and be the space of smooth -forms on.

Consider the space of differential -forms being an A-harmonic tensor in a domain, and Assume that, and for some.

Let be the th exterior power of the cotangent bundle, and let be the space of smooth -forms on and has generalized gradient.

The vector space of 0-forms is three-dimensional, the space of 1-forms three-dimensional and the space of 2 forms one-dimensional.

Proof This is linear algebra [23, 24]: denote by C m the vector space of m-forms on G.