Aminoguanidine
lanthanide thiodipropionate hydrates of composition [Ln(Agun)_{2}(tdp)_{3}·nH_{2}O], Agun = Aminoguanidine, tdp =
thiodipropionic acid, where Ln = La, Pr, Nd and Sm if n = 2, have been prepared and characterized by physic-chemical
techniques.

Abstract:
The BRST cohomology analysis of Lian and Zuckerman leads to physical states at all ghost number for $c<1$ matter coupled to Liouville gravity. We show how these states are related to states at ghost numbers zero(pure vertex operator states -- DK states) and ghost number one(ring elements) by means of descent equations. These descent equations follow from the double cohomology of the String BRST and Felder BRST operators. We briefly discuss how the ring elements allow one to determine all correlation functions on the sphere.

Abstract:
We study the formation of caustics in vortex-dominated \flows. We \find that only particles starting within a critical distance of a vortex which scales as the square roots of the particle inertia and the circulation can form sling caustics. We show that particles starting in an annular region around this critical radius contribute the densest clusters in the \flow. The large density spikes occurring for such particles, even at small inertia, are indicative that these particles will experience large collision rates.

Abstract:
We study the spontaneous symmetry breaking of O(3) scalar field on a fuzzy sphere $S_F^2$. We find that the fluctuations in the background of topological configurations are finite. This is in contrast to the fluctuations around a uniform configuration which diverge, due to Mermin-Wagner-Hohenberg-Coleman theorem, leading to the decay of the condensate. Interesting implications of enhanced topological stability of the configurations are pointed out.

Abstract:
We revisit a formula for the number of plane partitions due to Almkvist. Using the circle method, we provide modifications to his formula along with estimates of the errors. We show that the improved formula continues to be an asymptotic series. Nevertheless, an optimal truncation (i.e., superasymptotic) of the formula provides exact numbers of plane partitions for all positive integers n <6400 and numbers with estimated errors for larger values. For instance, the formula correctly reproduces 305 of the 316 digits of the numbers of plane partitions of 6999 as predicted by the estimated error. We believe that an hyperasymptotic truncation might lead to exact numbers for positive integers up to 50000.

Abstract:
Stress and burnout are common among healthcare workers, with negative implications for their personal and organizational objectives. They have higher rates of suicides, traffic accidents, psychosomatic illness, consumption of tobacco, alcohol, and other drugs. Healthcare organizations also face the consequences of decreased motivation, increased absenteeism and high turnover of their employees. To carry out their task of providing a safe, effective, fast and efficient service to their customers, employees need to be motivated. In this article, five preventive mechanisms to increase employee motivation are proposed: 1) eliminating systemic conflict and friction among employees by improving the definitions of roles, responsibilities, and authorities; 2) improving resource distribution criteria among different patient-centered organizational processes so that the expected results are correctly correlated to resource availability; 3) ensuring that the organization detects potential deficiencies in the knowledge/competence of its personnel in a pro-active manner and providing them with the necessary training to perform their assigned tasks; 4) defining and using internal communication channels to communicate the objectives of the organization and the results obtained, facilitating employee participation and recognizing their contributions; 5) creating a feedback loop between employees and the management to measure, analyze, and continuously improve their motivational levels.

Abstract:
We compute N-point correlation functions of pure vertex operator states(DK states) for minimal models coupled to gravity. We obtain agreement with the matrix model results on analytically continuing in the numbers of cosmological constant operators and matter screening operators. We illustrate this for the cases of the $(2k-1,2)$ and $(p+1,p)$ models.

Abstract:
We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of $c<1$ strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form $x^p \simeq y^{p+1}$ for the (p+1,p) model. We also study the states corresponding to the edges of the conformal grid whose inclusion is crucial for the closure of the ring. We introduce candidate operators that correspond to the observables of the matrix models. Their existence is motivated by the relation of one of the screening operators of the minimal model to the zero momentum dilaton.

Abstract:
We study the time-independent modes of a massless scalar field in various black hole backgrounds, and show that for these black holes, the time-independent mode is localised at the horizon. A similar analysis is done for time-independent equilibrium modes of the five dimensional plane AdS black hole. A self-adjointness analysis of this problem reveals that in addition to the modes corresponding to the usual glueball states, there is a discrete infinity of other equilibrium modes with imaginary mass for the glueball. We suggest these modes may be related to a Savvidy-Nielsen-Olesen-like vacuum instability in QCD.