Stepwise metalation and metathesis reactions with a bulky aminocarbazole were conducted to prepare derivatives of tetravalent group 14 elements. These regarded as putatively suitable precursors for the formation doubly bonded 14/group 15 molecules such imino species. Starting from an N-aminocarbazole, deprotonation benzyl potassium formed corresponding solvent-free dimeric amide. Metathesis EBr...

We prove the Gagliardo–Nirenberg-type multiplicative interpolation inequality ‖v‖L1(Rn) ≤ C‖v‖ 1/2 Lip′(Rn)‖v‖ 1/2 BV(Rn) ∀v ∈ Lip ′(Rn) ∩ BV(R), where C is a positive constant, independent of v. Here ‖·‖Lip′(Rn) is the norm of the dual to the Lipschitz space Lip 0(R) := C 0,1 0 (Rn) = C0,1(Rn) ∩C0(R) and ‖ · ‖BV(Rn) signifies the norm in the space BV(Rn) consisting of functions of bounded vari...

This study was designed to determine whether nasal airflow resistance (Rn) which is nonlinear during tidal breathing, can be assessed by the forced oscillation (FO) technique. Rn values obtained by the FO technique and extrapolated to 0 Hz (Rn,FO) were compared to those assessed by posterior rhinomanometry at maximal tidal inspiratory flow (Rn,m), at a 0.5 L x s(-1) flow (Rn,F), and at a 1 hPa ...

We prove a generalization of the Newton Identities for entire functions, which give a relation between the Taylor coefficients and sums of powers of reciprocals of the zeros of an entire function. We apply these identities to a number of special functions, yielding some interesting recursion relations. By the Weierstrass Product Theorem, any entire function f : C → C can be written as a normall...

This paper solves the L2 version of Maz'ya's open problem [1, Section 3.9] on sharp uncertainty principle inequality?RN|?u|2dx?RN|u|2|x|2dx?CN(?RN|u|2dx)2 for solenoidal (namely divergence-free) vector fields u=u(x) RN. The best value constant N?3 turns out to be CN=14(N2?4(N?3)+2)2 which exceeds original N2/4 unconstrained fields. Moreover, we show attainability CN and specify profiles extrema...

where B = ( B1, · · · ,Bd ) is a standard Brownian motion, and Cb ( RN;RN ) denotes the set of RN-valued smooth functions defined over RN whose derivatives of any order are bounded. In particular, we will use the classical notation V f (x) = ∑N i=1 V i (x) ( ∂ f/∂xi ) (x) for V ∈ Cb (RN;RN) and f a differentiable function from Rn into R. This stochastic differential equation can be written in I...

Ann Butler Maher RN, MS, FNP-BC, ONC (Family Nurse Practitioner) *, Anita J Meehan RN-BC, MSN, ONC (Clinical Nurse Specialist, Gerontology/ Director) , Karen Hertz RN, BSc(Hons), MSc (Advanced Nurse Practitioner T&O) , Ami Hommel RN, CNS, PhD (Associate Professor) , Valerie MacDonald RN, BSN, MSN, ONC (Clinical Nurse Specialist) , Mary P O’Sullivan RGN, RM, BNS/RNT, MSc Nursing (Clinical Develo...

A function f :Rn →R is a connectivity function if for every connected subset C of Rn the graph of the restriction f C is a connected subset of Rn+1, and f is an extendable connectivity function if f can be extended to a connectivity function g :Rn+1 → R with Rn embedded into Rn+1 as Rn × {0}. There exists a connectivity function f :R→ R that is not extendable. We prove that for n 2 every connec...

Background: Brain necrosis (RN) is a common radiotherapy sequela for brain metastases. Bevacizumab identified as therapeutic strategy RN. This study aimed to the clinical and radiobiological impacts on efficacy of in treating RN following stereotactic radiosurgery (SRS)

The purpose of the present study was to compare Rendement Napole (RN) classification from glycolytic potential (GP) and DNA techniques, and to study the effect of the RN gene on performance, carcass, muscle quality, and sensory traits. Progeny (N = 118) from the mating of 15 purebred Hampshire sires to York x Landrace females were classified for RN gene status using the GP of the loin and polym...