covariant

The approach is fully covariant with many worked out examples.

It can be seen as a covariant vector in this case.

For the two body system there are numerous covariant forms of interaction.

Thus, a physicist might say that these equations are covariant.

This is the explicit form of the covariant transformation rule.

We'll favor writing quantities with respect to the covariant basis.

According to Kretschmann, any theory can be put in generally covariant form.

By inspection it can be seen that this formula is not explicitly covariant.

Such a transformation law is known as a covariant transformation.

For example, region detection should be covariant with viewpoint as illustrated in Figure 1.

The most popular approach is probably the definition motivated by covariant derivatives.

Thus a one-form is an order 1 covariant tensor field.

The definition of the covariant derivative does not use the metric in space.

This is not the same as a semi-colon, used for the covariant derivative.

"The theory he originally submitted is not generally covariant," the authors wrote.

A direct system is then just a covariant functor .

The covariant derivative can in turn be recovered from parallel transport.

For instance, no vertical automorphism of is a general covariant transformation.

It is therefore covariant, with respect to smooth mappings of 'M'.

This equation can be interpreted as an expression for the covariant derivative.

Stated another way, the relative time is eliminated in a covariant way.

Thus, a physicist might say that the Schrödinger equation is not covariant.

The equations of special relativity can be written in a manifestly covariant form.

As discussed above, covariant arrays leads to problem with writes into the array.

See also gauge covariant derivative for a treatment oriented to physics.