HB-Continuous Mappings in L-Topological Space

In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.

THREE KINDS OF DENTABILITIES IN BANACH SPACES AND THEIR APPLICATIONS

In this paper,we study some dentabilities in Banach spaces which are closely related to the famous Radon-Nikodym property.We introduce the concepts of the weak^(*)-weak denting point and the weak^(*)-weak^(*)denting point of a set.These are the generalizations of the weak^(*)denting point of a set in a dual Banach space.By use of the weak^(*)-weak denting point,we characterize the very smooth space,the point of weak^(*)-weak continuity,and the extreme point of a unit ball in a dual Banach space.Meanwhile,we also characterize an approximatively weak compact Chebyshev set in dual Banach spaces.Moreover,we define the nearly weak dentability in Banach spaces,which is a generalization of near dentability.We prove the necessary and sufficient conditions of the reflexivity by nearly weak dentability.We also obtain that nearly weak dentability is equivalent to both the approximatively weak compactness of Banach spaces and the w-strong proximinality of every closed convex subset of Banach spaces.

Sub-Differential Characterizations of Non-Smooth Lower Semi-Continuous Pseudo-Convex Functions on Real Banach Spaces

In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.

An adaptive ant colony system algorithm for continuous-space optimization problems

Ant colony algorithms comprise a novel category of evolutionary computation methods for optimization problems, especially for sequencing-type combinatorial optimization problems. An adaptive ant colony algorithm is proposed in this paper to tackle continuous-space optimization problems, using a new objective-function-based heuristic pheromone assignment approach for pheromone update to filtrate solution candidates.Global optimal solutions can be reached more rapidly by self-adjusting the path searching behaviors of the ants according to objective values. The performance of the proposed algorithm is compared with a basic ant colony algorithm and a Square Quadratic Programming approach in solving two benchmark problems with multiple extremes. The results indicated that the efficiency and reliability of the proposed algorithm were greatly improved.

Weakly δ-continuous Correspondences on Super-space

In the paper,we define weakly δ-continuous correspondences on super-space,On the basis of δ-open(closed) sets,θ-open(closed) sets and regular open(closed) sets in topological space,some equivalent conditions of this kind of correspondences are obtained,and some applications of subset nets and convergence nets are given.

Weak KKM theorems in generalized finitely continuous space with applications

Some new weak Knaster-Kuratouski-Mazurkiewicz （KKM） theorems are proved under the noncompact situation in the generalized finitely continuous space （GFC-space） without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

CONTINUOUS SELECTIONS OF THE SET-VALUED METRIC GENERALIZED INVERSE IN 2-STRICTLY CONVEX BANACH SPACES

In this paper,we prove that if X is an almost convex and 2-strictly convex space,linear operator T:X→Y is bounded,N(T)is an approximative compact Chebyshev subspace of X and R(T)is a 3-Chebyshev hyperplane,then there exists a homogeneous selection T^(σ)of T^(■)such that continuous points of T^(σ)and T^(■)are dense on Y.

Regularity of Continuous Linear Operators on Banach Function Spaces

In this paper we present some characterizations of Banach function spaces on which every continuous linear operator is regular.

Fuzzy φψ-continuous Functions between L-topological Spaces(Ⅰ)

In the present paper,φψ-continuous function on L-topological spaces and productive operation are defined.By means of this operation,we study fuzzy φψ-continuity from L-product spaces into L-product spaces and also from L-topological spaces into L-product spaces.

Fuzzy φψ-continuous Functions between L-topological Spaces(Ⅱ)

In the present paper,sum operation on sum spaces of a family of L-topological spaces is defined. Fuzzy φψ-continuity from sum spaces of a family of L-topological spaces into L-product spaces and from sum spaces of a family of L-topological spaces into L-topological spaces are investigated.

State Estimation Moving Window Gradient Iterative Algorithm for Bilinear Systems Using the Continuous Mixed p-norm Technique

This paper studies the parameter estimation problems of the nonlinear systems described by the bilinear state space models in the presence of disturbances.A bilinear state observer is designed for deriving identification algorithms to estimate the state variables using the input-output data.Based on the bilinear state observer,a novel gradient iterative algorithm is derived for estimating the parameters of the bilinear systems by means of the continuous mixed p-norm cost function.The gain at each iterative step adapts to the data quality so that the algorithm has good robustness to the noise disturbance.Furthermore,to improve the performance of the proposed algorithm,a dynamicmoving window is designed which can update the dynamical data by removing the oldest data and adding the newestmeasurement data.A numerical example of identification of bilinear systems is presented to validate the theoretical analysis.

Semigroup of Weakly Continuous Operators Associated to a Generalized Schrödinger Equation

In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger equation in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a semigroup of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we provide some consequences of this study.

Group of Weakly Continuous Operators Associated to a Generalized Schrödinger Type Homogeneous Model

In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger type homogeneous model in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a group of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we give some remarks derived from this study.

论空间与教育空间:职业教育与继续教育

教育科学,尤其是职业教育和继续教育-成人教育科学,一直关注并践行着实践论:不仅要观察,还要塑造。其中,职业教育作为一种教育类型,与普通教育的最大区别在于其是一种跨界教育。这一跨界特征表现为不仅跨越了企业与学校的分隔、工作与学习的割裂,更是跨越了职业与教育这两大社会空间之间的沟壑,使得职业教育的运作在空间的横向发展方面呈现出共时性特点。而继续教育-成人教育作为终身学习的核心要素,是在正规的职业教育和高等教育之后实施的教育活动,包括与工作相关或无关的教育和培训,机构或非机构的教育和培训,以及非全日制的、与职业相伴随的和职业后的教育和培训等,这就使得继续教育-成人教育的运作是在伴随人一生的动态发展中进行的,因而在空间的纵向发展方面具有历时性特点。由此,职业教育空间以及继续教育-成人教育空间在遵循空间和教育空间普遍规律的基础上,还要遵循各自教育空间的运行规律。

基于网络学习空间的高等学历继续教育PBL教学模式探究

网络学习空间现已成为开展数据支持下个性化教与学的重要入口,但目前绝大多数网络学习空间设计框架并未结合具体的教学模式。我国高等学历继续教育传统教学模式存在教师教学力量薄弱、成人学生学习困难、成人配套教材匮乏、课程教学形式僵化以及评分机制效率低下等若干问题。基于此,应搭建基于网络学习空间PBL教学模式的应用框架,在网络学习空间中完成组织小组,学情分析;创设情景,设计问题;确定目标,制定方案;实践探究,形成结论;小组交流,成果展示;学生总结,教师反馈等教学流程,以治愈传统教学模式的旧疾,体现一个平台、两个主体、三个互动和四个功能的教学价值,实现高等学历继续教育教学模式的数字化与理论化。

依托移动混合现实教育可供性的继续教育学习空间重构

受继续教育重心变迁和公共卫生危机蔓延的深刻影响,继续教育发展面临学习时空受限、实体操作匮乏、培训实境缺失等因素的制约,寻求课堂、网络和现场之外的第四维学习空间成为继续教育模式改革的重要方向。作为移动终端和混合现实技术(MR)的融合体,移动混合现实技术(MMR)具有高度的原真性、沉浸性、交互性和泛在性等重要属性,因而具有构建多种新型学习空间,甚至替代实境的潜能。充分解析继续教育发展动态和MR优势与不足,挖掘MMR教育可供性与继续教育学习空间重构的聚合点,以情境化学习理论和联结主义理论为理据,尝试为继续教育学员构建一种贴近实境的第四维继续教育学习空间,促使继续教育从传统模式向深度混合模式转变。

潜在空间中的策略搜索强化学习方法

策略搜索是深度强化学习领域中一种能够解决大规模连续状态空间和动作空间问题的高效学习方法,被广泛应用在现实问题中。然而,此类方法通常需要花费大量的学习样本和训练时间,且泛化能力较差,学到的策略模型难以泛化至环境中看似微小的变化。为了解决上述问题,提出了一种基于潜在空间的策略搜索强化学习方法。将学习状态表示的思想拓展到动作表示上,即在动作表示的潜在空间中学习策略,再将动作表示映射到真实动作空间中。通过表示学习模型的引入,摒弃端到端的训练方式,将整个强化学习任务划分成大规模的表示模型部分和小规模的策略模型部分,使用无监督的学习方法来学习表示模型,使用策略搜索强化学习方法学习小规模的策略模型。大规模的表示模型能保留应有的泛化性和表达能力,小规模的策略模型有助于减轻策略学习的负担,从而在一定程度上缓解深度强化学习领域中样本利用率低、学习效率低和动作选择泛化性弱的问题。最后,在智能控制任务CarRacing和Cheetah中验证了引入潜在空间中的状态表示和动作表示的有效性。

分析多模式镇痛下持续髂筋膜间隙阻滞与收肌管阻滞对老年患者全膝关节置换术后快速康复的影响

目的探讨对老年人全膝关节置换术患者在多模式镇痛下分别给予超声引导下持续髂筋膜间隙阻滞以及收肌管阻滞对术后快速康复的影响。方法随机选取2020年2月—2022年11月常州市中医医院收治的60例老年人全膝关节置换术患者为研究对象,以随机数表法分为研究组和参照组,每组30例。参照组在多模式镇痛基础下施以超声引导下持续髂筋膜间隙阻滞,研究组在多模式镇痛基础下施以超声引导下持续收肌管阻滞。对比两组患者动态视觉模拟评分法(Visual Analogue Scale,VAS)评分、术后各时间点静息状态VAS评分、美国特种外科医院膝关节评分量表(Hospital for Special Surgery Knee Score,HSS)评分以及膝关节关节活动度(Range of Motion,ROM)。结果术后6、12、24、48 h,两组VAS评分比较,差异无统计学意义(P均>0.05)。研究组HSS评分为(71.25±7.25)分,高于参照组的(63.55±6.79)分,差异有统计学意义(t=4.246,P<0.05)。术后3、7、10、12 d,研究组ROM均高于参照组,差异有统计学意义(P均<0.05)。结论临床对老年人全膝关节置换术患者在给予镇痛干预期间,同超声引导下持续髂筋膜间隙阻滞比较,超声引导下持续收肌管阻滞方法的有效应用,可对患者的术后早期康复给予明显促进。

基于车速平稳过渡的高速公路出口限速方案

研究能够满足出口车速平稳过渡的逐级限速方案,对出口区域车辆平稳运行及安全提升有重要意义。利用无人机采集高速公路出口车辆运行参数,分析出口车辆运行特征,考虑驾驶员对相邻限速标志的认知反应,构建了连续限速标志设置间距计算模型,建立了高速公路出口不同级别的限速方案,利用驾驶模拟试验对设计的不同限速方案进行分析及评价。模型的计算结果显示,二级限速方案中,限速值为60-40 km/h的限速标志间距为160 m;三级限速方案中,限速值为80-60-40 km/h的限速标志间距分别为300 m和80 m,限速值为90-60-40 km/h的限速标志间距分别为300 m和85 m;四级限速方案中,限速值为100-80-60-40 km/h的限速标志间距分别为295、160、80 m。利用驾驶模拟器对模型结果进行验证,试验结果表明:随着限速级数增加,车辆离散幅度显著降低,表明逐级限速方案对出口车辆运行速度有明显管控效果;逐级限速方案的平均减速度指标小于1.3 m/s^(2),均在驾驶舒适性阈值内;四级限速方案可使在分流鼻端车速标准差、平均减速度、分流鼻运行速度V85分别控制在5.23 km/h、0.52 m/s^(2)、54 km/h左右,极大满足了车速平稳过渡要求。可见,借助模型定量优化的逐级限速方案可以显著提高出口车速过渡的平稳性和安全性。

连续不等齿距削弱横向磁通永磁电机齿槽转矩方法

横向磁通永磁电机的齿槽转矩大,引起的转矩脉动显著,对电机的控制精度产生不利影响。提出一种连续不等齿距法来削弱横向磁通永磁电机的齿槽转矩。该方法将定子齿沿圆周方向分组,每组定子齿数相等,同组内相邻的齿距呈等差数列,导致同组内每个齿的齿槽转矩产生相位偏移,进而削弱齿槽转矩。结合能量法,推导了横向磁通永磁电机齿槽转矩数学表达式,揭示连续不等齿距法削弱齿槽转矩的原理,通过有限元方法验证,连续不等齿距法可以显著削弱横向磁通永磁电机的齿槽转矩。