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INFERENCE FOR NORMAL MIXTURE IN MEAN AND VARIANCE.
Abstract: Let (G, *) be a semigroup, D subset of G, and n >= 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1* ... *a_n in D for every a_1, ..., a_n in D. Hence every closed set i...
Abstract: Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of norma...
We discuss a class of normal forms of the completely resonant non–linear Schr¨odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further anal...
We define a class of higher-order linear maps that transform quantum operations into quantum operations and satisfy suitable requirements of normality and complete positivity. For this class of maps w...
In this paper we investigate the minimum number of maximal subgroups H_i for i=1 ...k of the symmetric group S_n (or the alternating group A_n) such that each element in the group S_n (respectively A...
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of its T -orbit is a normal affine variety. F...
The aim of the paper is to classify the indecomposable modules and describe the Auslander--Reiten sequences for the admissible algebras with formal two-ray modules.
A graph $G$ is $one$-$regular$ if its automorphism group ${\rm Aut}(G)$ acts transitively and semi-regularly on the arc set. A Cayley graph ${\rm Cay}(\Gamma,S)$ is {\it normal} if $\Gamma$ is a norma...
We investigate the minimal number of generators $\mu$ and the depth of divisorial ideals over normal semigroup rings. Such ideals are defined by the inhomogeneous systems of linear inequalities assoc...
Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the ...
In this study, we consider the normal subgroups of H'(lq), where H(lq) denotes the Hecke groups. After recalling some results from [2], particularly on the group structure and on the relations with th...
In this work we study the suucture of some special normal subgroups of Hecke groups. Particwarly those of genus O and 1 are studied by means of the regwar map theory which has been a growing subject i...

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