Abstract In this paper we characterize random variables which are stable but not strictly in the sense of generalized convolution. We generalize results obtained Jarczyk and Misiewicz (J Theoret Probab 22:482-505, 2009), Mazurkiewicz 18:837-852, 2005), Oleszkiewicz (in Milman VD Schechtman Lecture Notes Math. 1807, Geometric Aspects Functional Analysis (2003), Israel Seminar 2001–2002, Springer...

The notation and terminology used in this paper have been introduced in the following articles: [20], [9], [25], [7], [8], [4], [16], [24], [21], [19], [13], [18], [23], [1], [2], [10], [5], [17], [11], [3], [22], [14], [12], [6], [26], and [15]. We use the following convention: i, j, n denote natural numbers, f , g, h, k denote finite sequences of elements of R, and M , N denote non empty metr...

a) Zeigen Sie, dass B := (v1, v2, v3, v4) eine Basis von W := Lin(v1, v2, v3, v4) ist. b) Für f ∈ W definiere D(f) := f ′. Begründen Sie, dass D von W nach W abbildet, und zeigen Sie, dass die Abbildung D : W → W, f 7→ f ′, linear ist. c) Geben Sie die Darstellungsmatrix von D : W → W und D : W → W bezüglich der Basis B von W an. (Dabei ist D(f) := D(D(f)) für f ∈ W .) d) Sei g : (−π, π)→ R, x ...

Abstract We prove that for α ∈ ( d − 1, ), one has the trace inequality $$ {\int}_{\mathbb{R}^{d}} |I_{\alpha} F| d\nu \leq C |F|(\mathbb{R}^{d})\|\nu\|_{\mathcal{M}^{d-\alpha}(\mathbb{R}^{d})} ∫ ℝ d | ...

Let $f\_i\colon X \rightarrow \mathbf{C}$ , for $i$ integer between $1$ and $p$ be analytic functions defined on a complex variety $X$. us consider $\mathcal{D}\_X$ the ring of linear differential operators $\mathcal{D}\_X \[s\_1, \ldots, s\_p] = \mathbf{C}X \otimes{\mathbf{C}} \mathcal{D}\_X$. $m$ section holonomic -module. We denote $\mathcal{B}(m, x\_0, f\_1, f\_p)$ ideal $\mathbf{C} s\_p]$ ...

The scheme for construction of distances, presented in our previous paper quant-ph/0005087, v.1 (Ref. 1) is amended. The formulation of Proposition 1 of Ref. 1 does not ensure the triangle inequality, therefore some of the functionals D(a, b) in Ref. 1 are in fact quasi-distances. In this note we formulate sufficient conditions for a functional D(a, b) of the (squared) form D(a, b) 2 = f (a) 2 ...

Mixed fault diameter of a graph G, D(a,b)(G), is the maximal diameter of G after deletion of any a vertices and any b edges. Special cases are the (vertex) fault diameter D a = D(a,0) and the edge fault diameter D E a = D(0,a). Let G be a Cartesian graph bundle with fibre F over the base graph B. We show that (1) D a+b+1(G) ≤ D V a (F )+D V b (B) when the graphs F and B are kF -connected and kB...

in a r etrospective s t udy on the c ancer o f the gal l bladder, done in iran, it s e ems tha t it compr ises 0 . 36% o f a ll the malignant tumors . 1 .7 5% of the patients were fema les and the maximum incidenc e wa s in t he s i x th decade of l i f e. it was interesting t o note that the age ratio bet ween t he males and f ema le s reverses with t he advance o f a ge, s o at the 7th and 8t...

Mixed fault diameter of a graph G, D(a,b)(G), is the maximal diameter of G after deletion of any a vertices and any b edges. Special cases are the (vertex) fault diameter D a = D(a,0) and the edge fault diameter D E a = D(0,a). Let G be a Cartesian graph bundle with fibre F over the base graph B. We show that (1) D a+b+1(G) ≤ D V a (F )+D V b (B) when the graphs F and B are kF -connected and kB...

In the 1- (4-fluorophenyl) -2,3-dihydro-1 H-naphto- [1 and 2-e] [1 and 3] oxazine-3-n, there are 4 rings, respectively, rings from the side attached to the halogen They are named C, B, A, and D. Calculations and studies show that the amount of aromatics in the halogen-ring A in all cases has the highest number. In the B loop, the predicted aromatism level is zero, and in the ring C and D, relat...