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The gauge operators are defined in the same way, and the multiple q -L´evy process are modified as in the previous paragraph, except that we drop the assumption (1). The moments
In this section we give a brief sketch of the theory of triad homotopy groups, including the exact sequence relating them to homotopical excision, and show that the third triad
In the second part, (section 3 ), we deform the integers and the q -binomials in a less standard way, using a sequence that satisfies a first order non-linear recurrence relation...
We will show in section 2 that the matrix transformation corresponding to the regular convolution method generated by an independent and identically distributed sequence of
When L is a Riordan matrix (see Section 2) using ordinary or exponential generating functions, our method will find a closed form expression for the generating function of the
In this section, we will prove Theorem 1, but first we note the following lemma, which is a direct consequence of the definitions of the Stern sequence and its twist..
In this report, we describe the formation of cell clusters of diverse shapes with variable patterns of division from single somatic cells, as well as the unusual sequence
In Section 2, we present the basic stochastic model. In Section 3, we define an index and a market based on this model and in Section 4, we introduce a payment process and an
