and
|
|
The multiple integral
|
(151)
|
which may also be written
|
(152)
|
and which, when taken within any given limits of phase, has been shown to have a value independent of the coördinates employed, expresses what we have called an
extension-in-phase.
[1] In like manner we may say that the multiple integral (148) expresses an
extension-in-configuration, and that the multiple integrals (149) and (150) express an
extension-in-velocity. We have called
|
(153)
|
which is equivalent to
|
(154)
|
an element of extension-in-phase. We may call
|
(155)
|
an element of extension-in-configuration, and
|
(156)
|
- ↑
See Chapter I, p. 10.