introduction: an efficient method of tomographic imaging in nuclear medicine is positron emission tomography (pet). compared to spect, pet has the advantages of higher levels of sensitivity, spatial resolution and more accurate quantification. however, high noise levels in the image limit its diagnostic utility. noise removal in nuclear medicine is traditionally based on fourier decomposition o...

there are two methods for identifying formation interface in oil wells: core analysis, which is a precise approach but costly and time consuming, and well logs analysis, which petrophysists perform, which is subjective and not completely reliable. in this paper, a novel coupled method was proposed to detect the formation interfaces using gr logs. second approximation level (a2) of gr log gained...

We show that, for each $$n>0$$ , there is a family of elliptic surfaces which are covered by the square curve genus $$2n+1$$ and whose Hodge structures have an action $${{\mathbb {Q}}}(\sqrt{-n})$$ . By considering case $$n=3$$ we that one particular K3 squares curves 7. Using this, construct correspondence between 7 general surface in $${\mathbb {P}}^4$$ with 15 ordinary double points up to ma...

A Borel-Tits theory was developped for almost split forms of symmetrizable Kac-Moody Lie algebras [J. of Algebra 171, 43-96 (1995)]. In this paper, we look to almost split real forms for symmetrizable hyperbolic KacMoody Lie algebras and we establish a complete list of these forms, in terms of their Satake-Tits index, for the strictly hyperbolic ones and for those which are obtained as (hyperbo...

(Spring Guide Wire, Toray Industries, Tokyo, Japan) was advanced into the upper branch of the LSPV (Figure 1B) and energy was applied for 240 s at 70°C. Residual conduction of the LSPV was found at the anterior carina, and further energy application at the left inferior PV (LIPV) isolated the LSPV (“cross-talk” phenomenon; Figure 1C). Re-conduction of the LSPV was observed after the termination...

In Satake's generalized resource budget model of ecology, which was modified from Isagi's resource budget model, Satake and Iwasa illustrated, by computing the positive Lyapunov exponent, that if the depletion coefficient is greater than one, then the system is chaotic. However, a positive Lyapunov exponent implies only sensitivity in Devaney's chaos. Therefore, this work presents mathematical ...

This paper explicitly describes the procedure of associating an automorphic representation of PGSp(2n, A) with a Siegel modular form of degree n for the full modular group Γn = Sp(2n, Z), generalizing the well-known procedure for n = 1. This will show that the so-called “standard” and “spin” L-functions associated with such forms are obtained as Langlands L-functions. The theory of Euler produc...

By the geometric Satake isomorphism of Mirković and Vilonen, decomposition numbers for reductive groups can be interpreted as decomposition numbers for equivariant perverse sheaves on the complex affine Grassmannian of the Langlands dual group. Using a description of the minimal degenerations of the affine Grassmannian obtained by Malkin, Ostrik and Vybornov, we are able to recover geometricall...

In the paper Bruhat-Tits theory from Berkovich’s point of view. I — Realizations and compactifications of buildings, we investigated various realizations of the Bruhat-Tits building B(G,k) of a connected and reductive linear algebraic group G over a non-Archimedean field k in the framework of V. Berkovich’s non-Archimedean analytic geometry. We studied in detail the compactifications of the bui...