General Particle Tracer (GPT) is a particle tracking code, which includes 3D space charge effect based on a nonequidistant multigrid Poisson solver or a point-to-point method. It is used to investigate beam dynamics in ERL and FEL injectors. We have developed a new routine to simulate coherent synchrotron radiation (CSR) in GPT based on the formalism of Sagan [1]. The routine can calculate 1D-w...

realizing the cause of cushing's syndrome (cs) is one of the most challenging processes in clinical endocrinology. the long high dose dexamethasone suppression test (standard test) is costly and need an extended inpatient stay. in this study we want to show the clinical utility of the overnight 8 mg dexamethasone suppression test (dst) for differential diagnosis of cs in a referral center. retr...

OBJECTIVE The aim of this systematic review was to determine the benefits of nutritional support in patients with type 1 or type 2 diabetes. RESEARCH DESIGN AND METHODS Studies utilizing an enteral nutritional support intervention (oral supplements or tube feeding) were identified using electronic databases and bibliography searches. Comparisons of interest were nutritional support versus rou...

We study the kernels of the remainder term Rn,s(f) of GaussTurán quadrature formulas ∫ 1 −1 f(t)w(t) dt = n ∑

This paper considers the birth of algebraic proof by looking at the works of Cardano, Viète, Harriot and Pell. The transition from geometric to algebraic proof was mediated by appeals to the Eudoxan theory of proportions in book V of Euclid. The crucial notational innovation was the development of brackets. By the middle of the seventeenth century, geometric proof was unsustainable as the sole ...

We show that, for a finite set A of real numbers, the size of the set A + A A + A = { a + b c + d : a, b, c, d ∈ A, c + d 6= 0 } is bounded from below by ∣∣∣∣A + A A + A ∣∣∣∣ |A|2+1/4 |A/A|1/8 log |A| . This improves a result of Roche-Newton (2016).

The exact order of deterministic, stochastic and average error bounds of multidimensional quadrature formulas for anisotropic Sobolev class W r pðIÞ; Nikolskii class H pðIÞ and their periodic analogue is obtained. It is proved that if p41; then the stochastic and average error bounds are essentially smaller than the deterministic error bounds. Nonlinear methods, adaptive methods, or even method...