These conventions originated because geologists and civil engineers ( especially compressible object to increase in size, making the sign convention self-consistent.
32.
The sign of the Ricci tensor does not change, because the two sign conventions concern the sign of the Riemann tensor.
33.
Note that sign conventions vary between different authors, which results in different forms of these equations depending on the convention used.
34.
Note that, with the opposite sign convention, this is the potential generated by a pointlike Euler equations in two-dimensional incompressible flow.
35.
This is an arbitrary sign convention; some authors choose different signs for the radii, which changes the equation for the focal length.
36.
In the physical-space sign convention, positive shear stresses act on positive faces of the material element in the positive direction of an axis.
37.
"MTW " uses the sign conventions for the Einstein field equations are established and the conventions used by many other authors are listed.
38.
Whether the extreme value is maximum or minimum depends both on the problem and on the sign convention used for defining the Hamiltonian.
39.
Is a Newtonian gravitational potentials ( plus any tidal potentials considered ), and is represented using the positive astronomical sign convention for gravitational potentials.
40.
As a sign convention, we assume that " a " is positive when downward for m _ 1 and upward for m _ 2.
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