In 801 his staff did a lot of rummaging around in the ancient Roman imperial archives left behind in Ravenna to find a precise form of words for his new title that would not offend Byzantium.
Justice and equality need to be shaped philosophically before they can take a precise form.
This theory would assume the Jedi are not inherently intentionally assuming a single form, but rather exist as a Force projection of themselves that cannot be contained in any precise form and has a "look" that is purely a mental manifestation in the minds of those who encounter the Force ghost.
Therefore, though I will initially use a widely accepted definition of culture, later on I will specify the cultural factor that interests us in a very precise form, so that the factor can be included in utility and production functions.
We find that the Boson-Fermion correspondence, known to exist in a mathematically precise form at zero temperature, persists at non-zero temperature.
This means that the density of the gas should be low (so that three-particle collisions can be ignored) but not too low (so that collisions would be too infrequent to change $f$ at all. (The modern procedure to put these requirements in a mathematically precise form is that of taking the so-called Boltzmann-Grad limit).
The development of a convenient mathematical application for testing the antioxidant potential of standard and novel therapeutic agents is essential for the research community to perform evaluations in a more precise form.
The spatial distribution and connection of customer loads are difficult to model in a precise mathematical form, making most optimization techniques inadequate for planning studies.
The three-stage stochastic programming model considered in this paper is described in a precise mathematical form in the Appendix.
The following statement was proved by Fried [92] in the case of manifolds of constant negative curvature and conjectured (in an even more precise form) in [94, p.181] for more general manifolds.
