Exact(1)
In case of compact distributions, the Manhattan distance or city-block distance, defined in Eq. 7 for two dimensions, can be used to discriminate dense observations.
Similar(59)
In the case of compact discs, in 1987, after CDs had gained initial acceptance, CBS Records was the big chasm buster.
We think that the strength of Figure 6 lies on the illustration of how interaction with one particular target can be favored in respect to another (in the case of compact exploration).
Retracing our steps through (4.37), (4.36), (4.35) and (4.29) we see that we proved the theorem of Giulietti Liverani Pollicott [109] settling Smale's conjecture [249, §II.4] in the case of compact manifolds.
We prove that, as in the case of compact manifolds without boundary, the singularities of the regularized wave trace are contained in the set of periods of closed geodesics.
In the case of compact objects such as white dwarfs, neutron stars, and black holes, the gas in the inner regions becomes so hot that it will emit vast amounts of radiation (mainly X-rays), which may be detected by telescopes.
In the case of compact M ¯, we can use the Rellich lemma and the operatorʼs Sobolev gain to obtain the finite-dimensionality of those spaces.
In case of neons or compact fluorescent lights (CFL's), if less than one light per 5m2 was present the score assigned was 0. If 1 to 1.5 lights per 5 m2 were present, the score assigned was 0.5; 1 was assigned if between 1.6 to 2 lights per m2 were present and 1.5 was assigned if more than 2 lights per 5 m2 were present.
In the special case of compact Lie groups, kernel criteria in terms of (locally and globally) hypoelliptic operators are also given.
However, limitations of this model were recognized in the case of compacting mixtures with large volume fractions of carbamide space-holding particles (x > 50%) and at high pressures (P > 300 MPa).
In particular, we consider (S^{m}) as a special case of compact convex hypersurfaces and obtain similar inferences.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com