The determination of trace rare-earth elements (REEs) can be used for the assessment of environmental pollution, and is of great significance to the study of toxicity and toxicology in animals and plants. N, N, N', N'-tetraoctyl diglycolamide (TODGA) is an environmental friendly extractant that is highly selective to REEs. In this study, an analytical method was developed for the simultaneous d...

In this article we prove exactness of the homotopy sequence overconvergent $p$-adic fundamental groups for a smooth and projective morphism in characteristic $p$. We do so by first proving corresponding result rigid analytic varieties $0$, following dos Santos algebraic case. $p$, then proceed series reductions to case liftable family curves, where can apply result.

Abstract Let X be an algebraic curve with a faithful action of finite group G over field k . We show that if the Hodge–de Rham short exact sequence splits -equivariantly then on is weakly ramified. In particular, this generalizes result Köck and Tait for hyperelliptic curves. discuss also converse statements tie problem to lifting coverings curves ring Witt vectors length 2.

The authors propose a new method for constructing a confidence interval for the expectation θ of a Poisson random variable. The interval they obtain cannot be shortened without the infimum over θ of the coverage probability falling below 1 − α. In addition, the endpoints of the interval are strictly increasing functions of the observed variable. An easy-to-program algorithm is provided for comp...

This expository paper is intended for a short self-contained introduction to the theory of infinite convolutions probability measures on Polish semigroups. We give proofs Rees decomposition theorem completely simple semigroups, Ellis–Żelazko theorem, convolution factorization idempotents, and cluster points convolutions.

This expository paper contains history, definitions, constructions, and the basic properties of Rees valuations of ideals. A section is devoted to one-fibered ideals, that is, ideals with only one Rees valuation. Cutkosky [5] proved that there exists a two-dimensional complete Noetherian local integrally closed domain in which no zero-dimensional ideal is one-fibered. However, no concrete ring ...