Interval-valued pre-aggregation functions are a hot topic in the research of aggregation functions and have received considerable attention in recent years.As a special class of interval-valued pre-aggregation functio...Interval-valued pre-aggregation functions are a hot topic in the research of aggregation functions and have received considerable attention in recent years.As a special class of interval-valued pre-aggregation functions,(light)interval-valued pre-t-norms were initially proposed by Wang and Hu,but their properties were not further discussed by the authors.The main purpose of this paper is to study in depth the properties and generation of(light)intervalvalued pre-t-norms.Firstly,several properties of(light)interval-valued pre-t-norms and their relationship with(light)pre-t-norms are presented.Then,two different generation methods for(light)interval-valued pre-t-norms are introduced.Finally,it demonstrates a specific application of(light)interval-valued pre-t-norms in constructing interval-valued directional monotonic fuzzy implications,namely,using the(light)interval-valued pre-t-norm IT,interval-valued fuzzy negations IN,and(light)interval-valued pre-t-conorm IS to construct interval-valued QL-directional monotonic operations.展开更多
The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular dire...The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular directions are defined and their existence is proved.展开更多
Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevan...Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanlinna characteristic functions in the angular domain was used, which is similar with the Nevanlinna secondary fundamental theorem. Results The deficiency and deficient value of meromorphic functions about an angular domain and a direction were defined. The definition of Nevanlinna direction was improved. Conclusion For a family of meromorphic functions, it is proved that the number of deficient values is at most countable and the sum of deficiencies isnt greater than 2. The existence of the Nevanlinna direction is obtained. The existence of Borel and Julia directions and the relation between them are found.展开更多
目的:研究表明,重复经颅磁刺激和经颅直流电刺激对改善脑瘫患儿粗大运动功能具有积极作用。采用网状Meta分析方法评价重复经颅磁刺激和经颅直流电刺激对脑瘫患儿下肢运动功能及步态改善的临床疗效。方法:检索中国知网、万方、维普、Sino...目的:研究表明,重复经颅磁刺激和经颅直流电刺激对改善脑瘫患儿粗大运动功能具有积极作用。采用网状Meta分析方法评价重复经颅磁刺激和经颅直流电刺激对脑瘫患儿下肢运动功能及步态改善的临床疗效。方法:检索中国知网、万方、维普、SinoMed、PubMed、Web of Science、Medline数据库,搜索关于重复经颅磁刺激与经颅直流电刺激改善脑瘫患儿下肢运动功能及步态的随机对照试验,检索时限均为数据库建库至2024-10-05。筛选文献、提取资料并评价纳入研究的偏倚风险,采用Stata 15.0软件进行网状Meta分析,使用GRADE证据分级系统进行质量评价。结果:最终纳入19篇研究,涉及常规治疗、高频重复经颅磁刺激、低频重复经颅磁刺激、阳极经颅直流电刺激4种治疗方案。网状Meta分析结果显示,与常规治疗相比,低频重复经颅磁刺激改善脑瘫患儿粗大运动功能方面的疗效最佳[MD=9.48,95%CI(6.61,12.34),P<0.05],在缓解痉挛方面,高频重复经颅磁刺激的疗效最佳[MD=-0.63,95%CI(-1.72,0.45),P<0.05],经颅直流电刺激改善脑瘫患儿踝关节活动度和步速方面的疗效最佳[MD=2.27,95%CI(1.37,3.17),P<0.05;MD=0.11,95%CI(0.05,0.17),P<0.05]。结论:现有临床证据表明,对于脑瘫患儿,在改善下肢粗大运动功能方面,低频重复经颅磁刺激展现出最佳疗效;对于降低肌痉挛程度,高频重复经颅磁刺激的效果更为显著;在步态改善方面,经颅直流电刺激则表现出明显优势。展开更多
In this paper, a notation delta(x)(w) is derived from the counting function N-x(r, w) of branch points of algebriod functions. With this notation, the authors give the definition of the Nevanlinna direction for algebr...In this paper, a notation delta(x)(w) is derived from the counting function N-x(r, w) of branch points of algebriod functions. With this notation, the authors give the definition of the Nevanlinna direction for algebriod functions and discuss its existence in certain condition. By this notation the authors also obtain the numbers of exceptional value of the Julia direction and Borel direction of algebriod functions are not more than 2 + [delta(x) (w)] here [x] implies an maximum integer number which does not exceed x.展开更多
This paper proposes a new adaptive iterative learning control approach for a class of nonlinearly parameterized systems with unknown time-varying delay and unknown control direction.By employing the parameter separati...This paper proposes a new adaptive iterative learning control approach for a class of nonlinearly parameterized systems with unknown time-varying delay and unknown control direction.By employing the parameter separation technique and signal replacement mechanism,the approach can overcome unknown time-varying parameters and unknown time-varying delay of the nonlinear systems.By incorporating a Nussbaum-type function,the proposed approach can deal with the unknown control direction of the nonlinear systems.Based on a Lyapunov-Krasovskii-like composite energy function,the convergence of tracking error sequence is achieved in the iteration domain.Finally,two simulation examples are provided to illustrate the feasibility of the proposed control method.展开更多
A directional function for frequencies equal to and larger than the peak frequency of a wind-wave frequency spectrum is constructed by fitting the angular spreading based on the analytically derived directional spectr...A directional function for frequencies equal to and larger than the peak frequency of a wind-wave frequency spectrum is constructed by fitting the angular spreading based on the analytically derived directional spectrum of Wen et al. (1993, Journal of Oceanography, 49(2), 131～147, 149～172). For frequencies smaller than the peak frequency, the directional function is obtained by comparing and analyzing existing formulas. The nondimensional wind-wave frequency spectrum of Wen et al. (1994, Progress in Natural Seience, 4(4). 407～427;4 (5), 586～596) has been used together with the directional function just mentioned to obtain the directional spectrum for easier application.展开更多
In this paper,we mainly investigate the dynamical properties of entire solutions of complex differential equations.With some conditions on coefficients,we prove that the set of common limiting directions of Julia sets...In this paper,we mainly investigate the dynamical properties of entire solutions of complex differential equations.With some conditions on coefficients,we prove that the set of common limiting directions of Julia sets of solutions,their derivatives and their primitives must have a definite range of measure.展开更多
In this work, we introduce a method of fingerprint directional image partitioning based on GA. According to the fingerprint topology, A set of dynamic partition masks and a cost estimating function are designed to gui...In this work, we introduce a method of fingerprint directional image partitioning based on GA. According to the fingerprint topology, A set of dynamic partition masks and a cost estimating function are designed to guide the partitioning procedure. Finding best fitted mask application is converted to an functional optimizing problem, and we give out a GA solution to the problem. At last, we discuss the application of the proposed method in Fingerprint Classification.展开更多
目的:比较直接前方入路与后外侧入路全髋关节置换术(THA)治疗股骨颈骨折患者的效果。方法:回顾性分析2022年1月至2025年1月该院收治的82例股骨颈骨折患者的临床资料,根据手术入路不同将其分为观察组和对照组各41例。观察组采用直接前方...目的:比较直接前方入路与后外侧入路全髋关节置换术(THA)治疗股骨颈骨折患者的效果。方法:回顾性分析2022年1月至2025年1月该院收治的82例股骨颈骨折患者的临床资料,根据手术入路不同将其分为观察组和对照组各41例。观察组采用直接前方入路THA治疗,对照组采用后外侧入路THA治疗,比较两组手术相关指标[切口长度、住院时间、术中出血量、术后72 h视觉模拟评分法(VAS)评分、术后引流量]水平,手术前后炎性指标[超敏C反应蛋白(hs-CRP)、白细胞介素-1β(IL-1β)、淀粉样蛋白A(SAA)]水平、术后髋关节功能[Charnley髋关节疗效量表(CHS)、Harris髋关节功能量表(HSS)]评分,以及并发症发生率。结果:两组手术时间比较,差异无统计学意义(P>0.05);研究组切口长度、住院时间均短于对照组,术中出血量、术后引流量均少于对照组,术后72 h VAS评分低于对照组,差异有统计学意义(P<0.05);术后3 d,两组hs-CRP、IL-1β、SAA水平均高于术前,但观察组低于对照组,差异有统计学意义(P<0.05);术后1个月,观察组CHS、HHS评分均高于对照组,差异有统计学意义(P<0.05);术后3、6个月,两组CHS、HHS评分均高于术后1个月,但组间比较,差异均无统计学意义(P>0.05);两组并发症发生率比较,差异无统计学意义(P>0.05)。结论:直接前方入路THA治疗股骨颈骨折患者可缩短切口长度和住院时间,减少术中出血量和术后引流量,降低疼痛评分和炎性指标水平,以及提高髋关节功能评分的效果优于后外侧入路THA治疗。展开更多
In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and pr...In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and primitives. With some conditions on coefficients, for the solutions, their derivatives and their primitives, we consider the common limiting directions of Julia set and the existence of Baker wandering domain.展开更多
基金the National Natural Science Foundation of China(Grant No.12171294)。
文摘Interval-valued pre-aggregation functions are a hot topic in the research of aggregation functions and have received considerable attention in recent years.As a special class of interval-valued pre-aggregation functions,(light)interval-valued pre-t-norms were initially proposed by Wang and Hu,but their properties were not further discussed by the authors.The main purpose of this paper is to study in depth the properties and generation of(light)intervalvalued pre-t-norms.Firstly,several properties of(light)interval-valued pre-t-norms and their relationship with(light)pre-t-norms are presented.Then,two different generation methods for(light)interval-valued pre-t-norms are introduced.Finally,it demonstrates a specific application of(light)interval-valued pre-t-norms in constructing interval-valued directional monotonic fuzzy implications,namely,using the(light)interval-valued pre-t-norm IT,interval-valued fuzzy negations IN,and(light)interval-valued pre-t-conorm IS to construct interval-valued QL-directional monotonic operations.
文摘The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular directions are defined and their existence is proved.
文摘Aim To study the value distribution of meromorphic functions in angular domains, the deficiency, the deficient value, the Nevanlinna direction and other singular directions. Methods A fundamental inequality of Nevanlinna characteristic functions in the angular domain was used, which is similar with the Nevanlinna secondary fundamental theorem. Results The deficiency and deficient value of meromorphic functions about an angular domain and a direction were defined. The definition of Nevanlinna direction was improved. Conclusion For a family of meromorphic functions, it is proved that the number of deficient values is at most countable and the sum of deficiencies isnt greater than 2. The existence of the Nevanlinna direction is obtained. The existence of Borel and Julia directions and the relation between them are found.
文摘目的:研究表明,重复经颅磁刺激和经颅直流电刺激对改善脑瘫患儿粗大运动功能具有积极作用。采用网状Meta分析方法评价重复经颅磁刺激和经颅直流电刺激对脑瘫患儿下肢运动功能及步态改善的临床疗效。方法:检索中国知网、万方、维普、SinoMed、PubMed、Web of Science、Medline数据库,搜索关于重复经颅磁刺激与经颅直流电刺激改善脑瘫患儿下肢运动功能及步态的随机对照试验,检索时限均为数据库建库至2024-10-05。筛选文献、提取资料并评价纳入研究的偏倚风险,采用Stata 15.0软件进行网状Meta分析,使用GRADE证据分级系统进行质量评价。结果:最终纳入19篇研究,涉及常规治疗、高频重复经颅磁刺激、低频重复经颅磁刺激、阳极经颅直流电刺激4种治疗方案。网状Meta分析结果显示,与常规治疗相比,低频重复经颅磁刺激改善脑瘫患儿粗大运动功能方面的疗效最佳[MD=9.48,95%CI(6.61,12.34),P<0.05],在缓解痉挛方面,高频重复经颅磁刺激的疗效最佳[MD=-0.63,95%CI(-1.72,0.45),P<0.05],经颅直流电刺激改善脑瘫患儿踝关节活动度和步速方面的疗效最佳[MD=2.27,95%CI(1.37,3.17),P<0.05;MD=0.11,95%CI(0.05,0.17),P<0.05]。结论:现有临床证据表明,对于脑瘫患儿,在改善下肢粗大运动功能方面,低频重复经颅磁刺激展现出最佳疗效;对于降低肌痉挛程度,高频重复经颅磁刺激的效果更为显著;在步态改善方面,经颅直流电刺激则表现出明显优势。
基金Supported by the Natioal Natural Science Foundation of China (10271122)
文摘In this paper, a notation delta(x)(w) is derived from the counting function N-x(r, w) of branch points of algebriod functions. With this notation, the authors give the definition of the Nevanlinna direction for algebriod functions and discuss its existence in certain condition. By this notation the authors also obtain the numbers of exceptional value of the Julia direction and Borel direction of algebriod functions are not more than 2 + [delta(x) (w)] here [x] implies an maximum integer number which does not exceed x.
基金supported by National Natural Science Foundation of China (No. 60974139)Fundamental Research Funds for the Central Universities (No. 72103676)
文摘This paper proposes a new adaptive iterative learning control approach for a class of nonlinearly parameterized systems with unknown time-varying delay and unknown control direction.By employing the parameter separation technique and signal replacement mechanism,the approach can overcome unknown time-varying parameters and unknown time-varying delay of the nonlinear systems.By incorporating a Nussbaum-type function,the proposed approach can deal with the unknown control direction of the nonlinear systems.Based on a Lyapunov-Krasovskii-like composite energy function,the convergence of tracking error sequence is achieved in the iteration domain.Finally,two simulation examples are provided to illustrate the feasibility of the proposed control method.
文摘A directional function for frequencies equal to and larger than the peak frequency of a wind-wave frequency spectrum is constructed by fitting the angular spreading based on the analytically derived directional spectrum of Wen et al. (1993, Journal of Oceanography, 49(2), 131～147, 149～172). For frequencies smaller than the peak frequency, the directional function is obtained by comparing and analyzing existing formulas. The nondimensional wind-wave frequency spectrum of Wen et al. (1994, Progress in Natural Seience, 4(4). 407～427;4 (5), 586～596) has been used together with the directional function just mentioned to obtain the directional spectrum for easier application.
基金supported by Shanghai Center for Mathematical Sci-ences,China Scholarship Council(201206105015)National Science Foundation of China(11171119,11001057,11571049)Natural Science Foundation of Guangdong Province in China(2014A030313422)
文摘In this paper,we mainly investigate the dynamical properties of entire solutions of complex differential equations.With some conditions on coefficients,we prove that the set of common limiting directions of Julia sets of solutions,their derivatives and their primitives must have a definite range of measure.
文摘In this work, we introduce a method of fingerprint directional image partitioning based on GA. According to the fingerprint topology, A set of dynamic partition masks and a cost estimating function are designed to guide the partitioning procedure. Finding best fitted mask application is converted to an functional optimizing problem, and we give out a GA solution to the problem. At last, we discuss the application of the proposed method in Fingerprint Classification.
文摘目的:比较直接前方入路与后外侧入路全髋关节置换术(THA)治疗股骨颈骨折患者的效果。方法:回顾性分析2022年1月至2025年1月该院收治的82例股骨颈骨折患者的临床资料,根据手术入路不同将其分为观察组和对照组各41例。观察组采用直接前方入路THA治疗,对照组采用后外侧入路THA治疗,比较两组手术相关指标[切口长度、住院时间、术中出血量、术后72 h视觉模拟评分法(VAS)评分、术后引流量]水平,手术前后炎性指标[超敏C反应蛋白(hs-CRP)、白细胞介素-1β(IL-1β)、淀粉样蛋白A(SAA)]水平、术后髋关节功能[Charnley髋关节疗效量表(CHS)、Harris髋关节功能量表(HSS)]评分,以及并发症发生率。结果:两组手术时间比较,差异无统计学意义(P>0.05);研究组切口长度、住院时间均短于对照组,术中出血量、术后引流量均少于对照组,术后72 h VAS评分低于对照组,差异有统计学意义(P<0.05);术后3 d,两组hs-CRP、IL-1β、SAA水平均高于术前,但观察组低于对照组,差异有统计学意义(P<0.05);术后1个月,观察组CHS、HHS评分均高于对照组,差异有统计学意义(P<0.05);术后3、6个月,两组CHS、HHS评分均高于术后1个月,但组间比较,差异均无统计学意义(P>0.05);两组并发症发生率比较,差异无统计学意义(P>0.05)。结论:直接前方入路THA治疗股骨颈骨折患者可缩短切口长度和住院时间,减少术中出血量和术后引流量,降低疼痛评分和炎性指标水平,以及提高髋关节功能评分的效果优于后外侧入路THA治疗。
基金supported by Shanghai Center for Mathematical Science China Scholarship Council(201206105015)the National Science Foundation of China(11171119,11001057,11571049)the Natural Science Foundation of Guangdong Province in China(2014A030313422)
文摘In this paper, we mainly investigate entire solutions of complex differential equations with coefficients involving exponential functions, and obtain the dynamical properties of the solutions, their derivatives and primitives. With some conditions on coefficients, for the solutions, their derivatives and their primitives, we consider the common limiting directions of Julia set and the existence of Baker wandering domain.
