Backfill support＇s backfill and operation properties and evaluation

To ensure compacted backfilling, it is essential to ensure the reliability of the performance of a solid backfill support, key equipment for integrating backfilling and mining. To evaluate the backfilling performance of a backfill support, the concept of backfill and operation properties is proposed in this study. Moreover, it is elaborated in terms of five aspects, namely, structural property, supporting property, tamping property, mechanical response property, and geological adaptation property, which are specifically reflected by 14 indexes including the supporting intensity and vertical roof gap. Seven separate evaluation indexes are selected to build a backfill and operation properties based system for evaluating the design schemes of the backfill support via a multi-index comprehensive evaluation method; then, the evaluation method and process together with measures to control the backfill and operation properties are proposed. By using this system, 11 schemes for optimizing the ZC5200/14.5/3 backfill support at Zhaizhen Coal Mine are evaluated, and scheme #10 is found to show superior vertical roof gap and other backfill and operation properties, thus demonstrating the reasonability of the evaluation system. On this basis, the backfill support research framework of designing initial scheme, optimizing design scheme, selecting the best evaluation indexes, evaluating optimizing scheme, and evaluating operation properties is built; this should serve as an important reference for further studies on the roof controlling performance of a backfill support.

Quantum Dot Lasers Fabricated by Self-organized Growth

Quantum dot lasers have excellent characteristics such as temperature stability of threshold current and ultra-high material gain. Quantum dot structures fabricated by self-organized growth have high crystalline perfection, high quantum yield of radiative recombination and high size homogeneity. Main advantages and operating properties of quantum dot lasers fabricated by self-organized growth are briefly introduced.

Bipolar fuzzy soft mappings with application to bipolar disorders

Bipolar disorder is a neurological disorder that consists of two main factors,i.e.mania and depression.There are two main drawbacks in clinical diagnosis of the bipolar disorder.First,bipolar disorder is mostly wrongly diagnosed as unipolar depression in clinical diagnosis.This is,because in clinical diagnosis,the first factor is often neglected due to its approach toward positivity.Consequently,the element of bipolarity vanishes and the disease becomes worse.Second,the types of bipolhr disorder are mostly misdiagnosed due to similar symptoms.To overcome these problems,the bipolar fuzzy soft set(BFS-set)and bipolar fuzzy soft mappings(BFS-mappings)are useful to tackle bipolarity and to construct a strong mathematical modeling process to diagnose this disease correctly.This technique is extensive but simple as compared to existing medical diagnosis methods.A chart(relation between different types and symptoms of bipolar disorder)is provided which contains different ranges over the interval[-1,1].A process of BFS-mappings is also provided to obtain correct diagnosis and to suggest the best treatment.Lastly,a generalized BFS-mapping is introduced which is helpful to keep patient's improvement record.The case study indicates the reliability,efficiency and capability of the achieved theoretical results.Further,it reveals that the connection of soft set with bipolar fuzzy set is fruitful to construct a connection between symptoms which minimize the complexity of the case study.

Some Properties of Bergman Operators

Let G be a bounded open set on the complex plane, we denote by La2(G) the totality of all analytic functions on G which is square intergrable with respect to Lebesgue measure dA on G. It’s clear that La2(G) is a Hilbert space when endowed with norm ‖f‖=(∫G|f|2dA)1/2. The bounded operator S on La2(G) which is multiplication by z will be callde Bergman operator on G. For Bergman operators we have the following properties ([1], [4]):

Asymptotically Isometric Copy of l~β(0<β<1) in Spacesof Bounded Linear Operators

Assume X is a normed space,every x ＊ ∈ S（X＊） can reach its norm at some point in B（X）,and Y is a β-normed space.If there is a quotient space of Y which is asymptotically isometric to l β,then L（X,Y） contains an asymptotically isometric copy of l β.Some sufficient conditions are given under which L（X,Y） fails to have the fixed point property for nonexpansive mappings on closed bounded β-convex subsets of L（X,Y）.