The image recovery problem is formulated as to find the nearest point in the intersection of a family of closed convex subsets from a given point by using corresponding metric projection of each subset.
In the last section, for a Banach space, we consider a metric in the space of all norms in which are equivalent to, and note that becomes a Baire space for the corresponding metric topology.
For example, each element in the index list for the four-metric (g_{munu}) holds the indices of the non-zero element together with a Fortran90 array of the corresponding metric coefficient for the grid block.
Further, after the development of the notion of the non-stationary spacetime, the present day view is that in the non-comoving Schwarzschild frame, the vacuum fluid is moving with a 3-speed even though the corresponding metric (20) is static.
The following notions are natural deductions from the corresponding metric versions: (i) A sequence ({x_{n}} subseteq X) converges to (x in X) if (lim_{n to+infty} d(x_{n}, x) = 0).
If ( X, d ) is a metric space and c ≥ 0 is arbitrary, then p ( x, y ) = d ( x, y ) + c. defines a partial metric on X and the corresponding metric is p s ( x, y ) = 2 d ( x, y ).
For each dataset, each row shows the values of a corresponding network metric with vertical color slices representing the deviation of the values from baseline statistics, on an hourly basis.
PMut yields outcomes of "pathological" or "neutral" and a corresponding reliability metric (lower is better).
It enables to calculate a stretching factor providing a new edge length distribution, its associated tensor and the corresponding metric.
(B) A partial-metric space ((X,p)) is complete if and only if the (corresponding) metric space ((X,d_{p})) is complete.
