The Teichmüller space Teich(S) of a surface S in genus g > 1 is a real submanifold of the quasifuchsian space QF(S). We show that the determinant of the Laplacian det′(∆) on Teich(S) has a unique holomorphic extension to QF(S).

Let Q0 denote the rational numbers expanded to a meadow by totalizing inversion such that 0 = 0. Q0 can be expanded by a total sign function s that extracts the sign of a rational number. In this paper we discuss an extension Q0(s, √ ) of the signed rationals in which every number has a unique square root.

Let p ≡ 1 (mod 4) be a prime number and let ζ = e be a primitive root of unity. Then there exists a unique biquadratic extension eld Q(y)/Q that is a sub eld of Q(ζ). The aim of this work is to construct an algorithm for nding such y explicitly. Finally we state a general conjecture about the y we found.

Let Q0 denote the rational numbers expanded to a meadow by totalizing inversion such that 0 = 0. Q0 can be expanded by a total sign function s that extracts the sign of a rational number. In this paper we discuss an extension Q0(s, √ ) of the signed rationals in which every number has a unique square root.

A non-commutative extension of Amar and Lederer’s peak set result [3] is given. As its simple applications it is shown that any non-commutative H∞-algebra H∞(M, τ) has unique predual, and moreover some of the results of Blecher and Labuschagne (see [6]) are generalized to the complete form.

We report a unique case of juxtacortical osteoblastoma of the humeral shaft, which stimulated the appearance of an extraosseous extension of Gaucher-cell deposits. The tumour was treated successfully by curettage and bone grafting. We can find no previous report of this association between osteoblastoma and Gaucher's disease.

identifying role of extension system in adoption of new technologies have important role to developing favorable extension systems. for supporting sustainable agriculture in iran needs extension systems to be carefully thought and accurately implemented. the purpose of this is analyzing role of extension activities in adoption of sustainable agriculture. based on the results the attending agric...

In this article, we show that concerning the spatial tensor product of W∗-algebras, two weak hyperrigid operator systems is hyperrigid. We prove result by demonstrating unital completely positive maps have unique extension property for if and only has systems. Consequently, as a corollary boundary representations representation The an analogue Hopenwasser’s [9] in setting W∗-algebras.

We present a unique case of multiple sCADs occurring after a ruptured intracranial aneurysm embolization. We discuss the impact of head extension during embolization as the prevailing factor in multiple artery dissections in this case and point out another cause of new-onset neurologic deficit in patients with aneurysmal SAH.

There exists a unique extension of the classical Boltzmann entropy functional to a one-parametric family of additive trace-form entropy functionals. We find the analytical solution to the corresponding deformation of the classical ensembles, and present an example of the deformation of the uncorrelated state caused by finiteness of the number of particles.