Let X be a complex algebraic variety, and X◦ ⊂ X be the smooth part of X. Consider the scheme L(X) of formal arcs in X. The C-points of L(X) are just maps D = SpecC[[t]] → X (see, for example, [DL] for a definition of L(X) as a scheme). Let L◦(X) be the open subscheme of arcs whose image is not contained in X \X◦. Fix an arc γ : D → X in L◦(X), and let L(X)γ be the formal neighborhood of γ in L...

An extremely useful evolution equation that allows systematically calculating the two-time correlation functions (CF's) of system operators for non-Markovian open (dissipative) quantum systems is derived. The derivation is based on perturbative quantum master equation approach, so non-Markovian open quantum system models that are not exactly solvable can use our derived evolution equation to ea...

Existence results concerning double and multiple orthogonal resolutions of triple are and a number of open nlll~~tl0Tl!'l mentioned.

In this paper we discuss open problems concerning L-invariants focusing on approximation by towers of finite coverings.

Let E be an infinite-dimensional Hilbert space, and let H L(E) denote the Banach algebra of all functions f : D → L(E) that are holomorphic and bounded, equipped with the supremum norm ‖f‖∞ := supz∈D ‖f(z)‖L(E), f ∈ H ∞ L(E). We show that the Bass and topological stable ranks of H L(E) are infinite. If S is an open subset of T, then let A S L(E) denote the subalgebra of H L(E) of all functions ...

The "Carota di Polignano" (Polignano Carrot - PC, Daucus carota L.) is a multi-colored landrace, cultivated in the Southern Italy, whose colors range from yellow to purple. Iodine is an essential micronutrient for humans, since it is a key component of thyroid hormones, which regulate the growth and development of the human body. The main source for iodine assumption is represented by diet, but...

Water quality of four open wells representing four localities around the Kerala Minerals and Metals Ltd industrial area, Chavara, Quilon district was studied fora period of six months from December, 2006 to May 2007 to assess the suitability of the well waters for domestic purposes. The well waters exhibited high BOD (average values from 12.87-15.96 mg l(-1)), COD (666.67-796.67 mg l(-1)), TDS ...

Neuronal L-type calcium channels are essential for regulating activity-dependent gene expression, but they are thought to open too slowly to contribute to action potential-dependent calcium entry. A complication of studying native L-type channels is that they represent a minor fraction of the whole-cell calcium current in most neurons. Dihydropyridine antagonists are therefore widely used to es...

This commentary explores the challenges and opportunities associated with a possible transition of Water Resources Research to publication model where all articles are freely available upon (“Gold” open access). It provides review status access publishing models, summary community input, path forward for AGU leadership. The decision convert is framed by mix finances values. On one hand, challen...

The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model conditions. We formulate algorithm for preparing Bethe states this model, corresponding to real solutions equations. probabilistic, success probability that decreases number down spins. For state $L$ spins $M$ spins, which contains total $\binom{L}{M}\, 2^{M}\, M!$ t...