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ii) The function Z takes the value 1 on , the forest with one vertex. iii) The function Z is additive on disjoint components, i.e. That the function Z satisfies properties i)–iv) was
INTEGERS 11 (2011) 3 the number of lattice points modulo n is also an additive function, we obtain that the number of lattice points is equivalent to exactly χ ( T ) (mod n).
It should be noted that the boundary value problem (1.6), (1.7) is a natural continuation of the known classical statements of the Goursat and Darboux problems (see, e.g., [1]–[3])
The main goal of the paper is to describe those groups of motions for which an analogue of Vitali’s result remains true (we recall that, in Vitali’s theorem, a basic group
More precisely, he noted that if one considers the product of smooth positive functions as a likelihood function, one obtains that properly normalized it is often nearly normal,
condition numbers and first order estimates in the complex case a special technique [15] must be used based on the theory of additive complex operators.. The reason is that the
The latter consists in proving that each two-dimensional Riemannian metric of positive curvature given on the sphere is realizable as the intrinsic metric of a closed convex
We assume that the demand and order quantities for the former items can be described by an interval scenario as in Section 4 while the latter items can be described by