Rotationally symmetric harmonic diffeomorphisms between surfaces

In this paper, we show that the nonexistence of rotationally symmetric harmonic diffeomorphism between the unit disk without the origin and a punctured disc with hyperbolic metric on the target.Comment: Minor typos correcte

Bis[2-(2-pyridylmethyl­amino)ethane­sulfonato-κ3 N,N′,O]zinc(II)

The title mononuclear complex, [Zn(C8H11N2O3S)2], is a zinc salt of 2-(2-pyridylmethyl­amino)ethane­sulfonic acid (Hpmt). The ZnII ion is located on an inversion centre and is octahedrally surrounded by four N and two O atoms. The deprotonated pmt− anion coordinates in a facial arrangement through its two N atoms and one of the sulfonate O atoms. The crystal packing is determined by inter­molecular N—H⋯O and C—H⋯O hydrogen bonds

Prognostic value of routine laboratory variables in prediction of breast cancer recurrence.

The prognostic value of routine laboratory variables in breast cancer has been largely overlooked. Based on laboratory tests commonly performed in clinical practice, we aimed to develop a new model to predict disease free survival (DFS) after surgical removal of primary breast cancer. In a cohort of 1,596 breast cancer patients, we analyzed the associations of 33 laboratory variables with patient DFS. Based on 3 significant laboratory variables (hemoglobin, alkaline phosphatase, and international normalized ratio), together with important demographic and clinical variables, we developed a prognostic model, achieving the area under the curve of 0.79. We categorized patients into 3 risk groups according to the prognostic index developed from the final model. Compared with the patients in the low-risk group, those in the medium- and high-risk group had a significantly increased risk of recurrence with a hazard ratio (HR) of 1.75 (95% confidence interval [CI] 1.30-2.38) and 4.66 (95% CI 3.54-6.14), respectively. The results from the training set were validated in the testing set. Overall, our prognostic model incorporating readily available routine laboratory tests is powerful in identifying breast cancer patients who are at high risk of recurrence. Further study is warranted to validate its clinical application

Di-μ-chlorido-bis­{[2-(2-pyridylmethyl­amino)ethanesulfonato-κ3 N,N′,O]copper(II)}

In the title compound, [Cu2(C8H11N2O3S)2Cl2], the Cu atoms are five-coordinated in a distorted square-pyramidal geometry by three donor atoms of the deprotonated anionic 2-(2-pyridylmethyl­amino)ethanesulfonate (pmt) ligand and two Cl atoms. The Cl atoms bridge two Cu atoms, giving a binuclear structure; the centroid of the Cu2Cl2 ring lies on a crystallographic center of inversion. The complex is stabilized by hydrogen bonds and π–π stacking inter­actions [average inter­planar distance = 3.4969 (1) Å and ring-centroid separation distance = 4.1068 (4) Å]

4-(4-Carb­oxy-1,3-thia­zol-2-yl)pyridinium 3-carb­oxy-4-hydroxy­benzene­sulfonate dihydrate

In the crystal structure of the title compound, C9H7N2O2S+·C7H5O6S−·2H2O, an H atom from the 5-sulfosalicylic acid is transferred to the pyridyl N atom, forming a salt. The dihedral angle between the thiazole and pyridinium rings is 5.909 (5)°. The crystal packing is determined by O—H⋯O and N—H⋯O hydrogen bonds involving water mol­ecules

Deadline Constrained Cloud Computing Resources Scheduling through an Ant Colony System Approach

Cloud computing resources scheduling is essential for executing workflows in the cloud platform because it relates to both execution time and execution cost. In this paper, we adopt a model that optimizes the execution cost while meeting deadline constraints. In solving this problem, we propose an Improved Ant Colony System (IACS) approach featuring two novel strategies. Firstly, a dynamic heuristic strategy is used to calculate a heuristic value during an evolutionary process by taking the workflow topological structure into consideration. Secondly, a double search strategy is used to initialize the pheromone and calculate the heuristic value according to the execution time at the beginning and to initialize the pheromone and calculate heuristic value according to the execution cost after a feasible solution is found. Therefore, the proposed IACS is adaptive to the search environment and to different objectives. We have conducted extensive experiments based on workflows with different scales and different cloud resources. We compare the result with a particle swarm optimization (PSO) approach and a dynamic objective genetic algorithm (DOGA) approach. Experimental results show that IACS is able to find better solutions with a lower cost than both PSO and DOGA do on various scheduling scales and deadline conditions

2-(2-Furylmethyl­ammonio)ethane­sulfonate methanol solvate

The organic mol­ecule of the title compound, C7H11NO4S·CH3OH, is a zwitterion and its furan ring displays positional disorder [occupancy 0.563 (5):0.437 (5)]. The crystal structure is extended into a three-dimensional supra­molecular architecture through inter­molecular O—H⋯O and N—H⋯O hydrogen bonds with participation of the methanol solvent mol­ecules