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Emotional Value Care to Promote Emotional Communication Between Teachers and Students Under the New Era of Education Mode
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作者 Yongdong Xiao 《Journal of Contemporary Educational Research》 2023年第1期7-12,共6页
With the development of the times and the progress of the society,the ancient education mode can no longer meet the requirements of the times.The concept of educating people must keep pace with the times.The way teach... With the development of the times and the progress of the society,the ancient education mode can no longer meet the requirements of the times.The concept of educating people must keep pace with the times.The way teachers and students get along is no longer like in ancient times,where teachers teach students to listen.In the new era,it is necessary to build a new model of interaction between teachers and students.If educators pay attention and come to understand students’psychology,listen to students’aspirations,tend to students’emotions,grow in love for education,and treat students from their hearts,they would be able to win the favor of students.Paying attention to students’emotional value can promote emotional communication between teachers and students.It is possible to adapt to the requirements of the new era for the construction of morality and ethics among teachers by caring for students’emotional value. 展开更多
关键词 teachers morality teachers style Emotional value Emotional communication
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TheValueOrderof“Love”inTeacher-StudentInteraction:anExplorationintoTeachers’LoveGenerationMachanismBasedonHuoMaozhengandSiXia’SLovePractice 被引量:2
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作者 魏宏聚 《河南大学学报(社会科学版)》 CSSCI 北大核心 2013年第3期143-148,共6页
“师爱”是教育成功的前提,是优秀教师的核心价值品质;同时,“师爱”也是教育理论界研究的热点问题之一。但是理论界对“师爱”的认识比较模糊、研究缺乏深度,特别是对其发生机制的研究更少。著名的情感现象学家舍勒认为,在整个价... “师爱”是教育成功的前提,是优秀教师的核心价值品质;同时,“师爱”也是教育理论界研究的热点问题之一。但是理论界对“师爱”的认识比较模糊、研究缺乏深度,特别是对其发生机制的研究更少。著名的情感现象学家舍勒认为,在整个价值王国中,价值的相互关系具有一定的“级序”。根据这一理论,如果一个价值比另一个价值“更高”或“更低”,那么,就形成了价值秩序。价值秩序是支配一个人行为的价值品质秩序。爱作为师生交往的核心价值,教师爱的行为同样受爱的价值秩序的支配。从国内“师爱”名师霍懋征和斯霞的“师爱”实践来看,“师爱”的发生机制具有层次性或秩序性,它依次呈现为人性之爱、教育之爱,以及学生种种具体的爱,如公正、尊重等。 展开更多
关键词 师生交往 价值秩序 “师爱”
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Pearl S. Buck’s Values of “Cultural Convergence” and Their Application
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作者 WANG Yan ZHU Ze-yuan SHI Hui-ge 《Cultural and Religious Studies》 2023年第1期9-18,共10页
The typical features of internal and external integration of cultures as revealed by the conception of“cultural convergence”provide a new perspective on the study of cultural exchanges and mutual learning.In the con... The typical features of internal and external integration of cultures as revealed by the conception of“cultural convergence”provide a new perspective on the study of cultural exchanges and mutual learning.In the context of“a global community of shared future for humankind”,this paper adopts the novel idea of“cultural convergence”to probe the growth of Pearl S.Buck’s cultural values and the specific contents and representation of Pearl S.Buck’s conception of“cultural convergence”,highlighting the application of Pearl S.Buck’s values to cultural education,growth and success,family education,cultural exchanges,humanistic practices,etc.Feasible suggestions and countermeasures are put forward to better promote the cultural exchanges and mutual learning as well as the convergence of different cultures. 展开更多
关键词 Pearl s.Buck values of“cultural convergence” applied research
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Prognostic Value of Semi-Quantitative 18F-FDG PET/CT Parameters in Hodgkin’s Lymphoma
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作者 Yong Zhou Congyang Hu +7 位作者 Yue Li Xiting Xia Jun Lei Jingyi Chen Hua Xu Mei He Hongyun Jian Shuping You 《Proceedings of Anticancer Research》 2023年第6期108-115,共8页
Objective:To assess the prognostic value of maximum standardized uptake value(SUVmax),metabolic tumor volume(MTV),and total lesion glycolysis(TLG)determined by 18F-fluorodeoxyglucose positron emission tomography-compu... Objective:To assess the prognostic value of maximum standardized uptake value(SUVmax),metabolic tumor volume(MTV),and total lesion glycolysis(TLG)determined by 18F-fluorodeoxyglucose positron emission tomography-computed tomography(18F-FDG PET/CT)imaging in Hodgkin’s lymphoma patients.Methods:A total of 148 Hodgkin’s lymphoma patients diagnosed with lymph node biopsy from October 2014 to October 2015 were retrospectively analyzed followed by categorizing into good(125 cases)and poor(23 cases)prognosis groups.The chi-squared test was used to analyze the clinicopathological characteristics of Hodgkin’s lymphoma patients with the semi-quantitative 18F-FDG PET/CT parameters;the Spearman method was used to analyze the correlation between the semi-quantitative parameters and clinicopathological features of Hodgkin’s lymphoma;receiver operating characteristic curve was used to analyze the predictive value of the semi-quantitative parameters for poor prognosis of Hodgkin’s lymphoma patients.Results:Mean SUVmax,MTV,and TLG of the 148 cases of Hodgkin’s lymphoma were 7.26±2.38,12.46±3.14 cm3,and 76.83±18.56 g,respectively.Significant variations in the Ann Arbor stage and clinical classification were observed with different levels of semi-quantitative parameters(P<0.05).The semi-quantitative parameters were not correlated with age and gender(P>0.05)but positively correlated with Ann Arbor stage and clinical classification(P<0.05).These parameters in the poor prognosis group were higher than those in the good prognosis group(P<0.05).The area under the curve(AUC)of SUVmax,MTV,and TLG in predicting the poor prognosis group was 0.881,0.875,and 0.838,with cut-off values of 7.264,12.898 cm3,and 74.580g,as well as specificity of 88.8%,84.0%,and 78.4%,and sensitivity of 87.0%,87.0%,and 78.3%,respectively;the AUC of the combined prediction was 0.986,with a specificity of 97.6%and sensitivity of 86.3%.Conclusion:The semi-quantitative 18F-FDG PET/CT parameters provide valuable insights for Hodgkin’s lymphoma prognosis assessment. 展开更多
关键词 Hodgkin’s lymphoma 18F-fluorodeoxyglucose positron emission tomography-computed tomography Maximum standardized uptake value Metabolic tumor volume Total lesion glycolysis PROGNOsIs
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2022年四川芦山M_(S)6.1地震前应力状态研究
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作者 张致伟 曾宪伟 +4 位作者 王迪 路茜 王玮铭 杨鹏 龙锋 《地震研究》 CSCD 北大核心 2024年第4期483-492,共10页
为研究2022年6月1日四川芦山M_(S)6.1地震的孕育和发生过程,采用CAP方法反演了2013年芦山M_(S)7.0主震及M_(S)≥5.0余震的震源机制解,并基于应力张量方差与b值时空分布特征,探讨了芦山M_(S)6.1地震的力学机制和震源区的应力状态。结果表... 为研究2022年6月1日四川芦山M_(S)6.1地震的孕育和发生过程,采用CAP方法反演了2013年芦山M_(S)7.0主震及M_(S)≥5.0余震的震源机制解,并基于应力张量方差与b值时空分布特征,探讨了芦山M_(S)6.1地震的力学机制和震源区的应力状态。结果表明:2022年芦山M_(S)6.1地震震源机制表现出与2013年芦山M_(S)7.0主震和5级余震相似的逆冲型破裂特征,压应力轴方位与龙门山断裂带南段区域应力场一致。2013年芦山M_(S)7.0地震后震中及附近的应力张量方差和b值长期处于低值状态,2022年芦山M_(S)6.1地震前震中及附近出现了应力张量方差和b值的低值异常,表明芦山余震区处于较高的应力水平。分析认为:巴颜喀拉块体持续东向运动受到华南块体的阻挡,震中所在区域长期受挤压逆冲作用,从而使芦山余震区长期处于应力积累的状态,芦山M_(S)6.1地震也是在这种动力学背景下发生的。 展开更多
关键词 芦山M_(s)6.1地震 芦山M_(s)7.0地震 震源机制解 应力张量方差 B值 应力状态
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梅毒螺旋体抗体最佳S/CO截断值在梅毒筛查中的应用价值
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作者 王靖 李小全 +4 位作者 刘敏 杨志立 徐植 赵雅淳 王丽 《实用中西医结合临床》 2024年第10期1-5,共5页
目的 以梅毒螺旋体凝集试验(TPPA)作为确认试验,确立酶联免疫吸附试验(ELISA)法S/CO值与梅毒阳性最佳截断值,减少不必要的TPPA确认重复。方法 选取2022年10月至2023年10月在医院进行梅毒螺旋体(TP)抗体检测的血清标本22 500例,以ELISA... 目的 以梅毒螺旋体凝集试验(TPPA)作为确认试验,确立酶联免疫吸附试验(ELISA)法S/CO值与梅毒阳性最佳截断值,减少不必要的TPPA确认重复。方法 选取2022年10月至2023年10月在医院进行梅毒螺旋体(TP)抗体检测的血清标本22 500例,以ELISA法为梅毒初次筛查试验,采用TPPA和甲苯胺红不加热血清试验(TRUST)对所有反应结果进行复核和确认。分析376例有反应性标本中的S/CO值与TPPA的关系,使用受试者操作特征曲线(ROC)确定ELISA法S/CO值与TPPA阳性最佳截断值。根据S/CO最佳截断值,比较梅毒不同反式筛查策略需要TPPA确认的标本数量。结果 当S/CO≥6.6时,TPPA与ELISA结果一致,特异性和阳性预测值均为100.00%,S/CO=6.6时为最佳截断值;使用欧洲疾病预防与控制中心(ECDC)策略时,376例筛查反应性样本(100.00%,376/376)需TPPA确认;使用美国疾病控制与预防中心(CDC)策略时,TPPA还需确认217例(57.71%,217/376);本研究只有122例(32.45%,122/376)需进行TPPA确认。结论 采用ELISA法梅毒反式筛查策略不受TRUST结果影响,当S/CO≥6.6时不需要进行TPPA确认,与ECDC和CDC反式策略相比,本研究有67.55%的筛查反应样本不必进行TPPA确认,经济且节约时间和人力。 展开更多
关键词 梅毒 s/CO值 最佳截断值 TPPA
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从协同到求异:指向教师专业发展的U-S合作优化研究
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作者 汪明帅 杨扬 《教师发展研究》 2024年第2期83-90,共8页
U-S合作是教师专业发展的重要举措。审视U-S合作的历程可知,U-S合作致力于多方位促进教师专业发展,协同逐渐成为U-S合作促进教师专业发展的底层逻辑。随着合作的持续推进,这一底层逻辑在促进教师专业发展方面所潜在的矛盾也逐渐暴露出... U-S合作是教师专业发展的重要举措。审视U-S合作的历程可知,U-S合作致力于多方位促进教师专业发展,协同逐渐成为U-S合作促进教师专业发展的底层逻辑。随着合作的持续推进,这一底层逻辑在促进教师专业发展方面所潜在的矛盾也逐渐暴露出来。一方面,大学与中小学的文化差异阻碍了协同的深度发生;另一方面,为了实现大学与中小学的协同,双方不得不做出诸多的妥协,在妥协的语境下,中小学教师往往面临着主体性丧失的风险。与之相对,在求异这一核心理念的引领下,跨界学习旗帜鲜明地提出了“差异即资源”的主张,并通过互动场域的营造和互动系统的建构,为“差异即资源”提供了现实可能,也为优化U-S合作提供了新的思路。 展开更多
关键词 U-s合作 教师专业发展 协同 求异
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S-100β CysC和NF-κB对急性缺血性脑卒中患者静脉溶栓后出血转化的预测价值
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作者 李鹤 李樱 李磊 《中国实用神经疾病杂志》 2024年第4期415-419,共5页
目的 探讨急性缺血性脑卒中(AIS)外周血中S-100β、CysC和NF-κB水平对静脉溶栓后出血转化的影响及预测价值。方法 收集2019-03—2022-03接受溶栓治疗的AIS患者140例,根据溶栓后24 h是否发生出血转化(HT)将患者分为非HT组(n=112)和HT组(... 目的 探讨急性缺血性脑卒中(AIS)外周血中S-100β、CysC和NF-κB水平对静脉溶栓后出血转化的影响及预测价值。方法 收集2019-03—2022-03接受溶栓治疗的AIS患者140例,根据溶栓后24 h是否发生出血转化(HT)将患者分为非HT组(n=112)和HT组(n=28)。比较2组一般临床资料,采用多因Logistic回归分析影响HT发生的危险因素,受试者工作特征(ROC)曲线评估S-100β、CysC和NF-κB预测HT发生的价值。结果 HT组与非HT组相比,患者年龄、发病至溶栓时间、房颤、TOAST分型、C反应蛋白、凝血酶原时间、S-100β、CysC、NF-κB、白质高信号和脑微出血等均有统计学差异(P<0.05)。Logistic多因素回归分析显示,房颤、S-100β、CysC和NF-κB为影响HT发生的危险因素。S-100β、CysC和NF-κB预测AIS患者静脉溶栓后出血转化的曲线下面积分别为0.915(0.902~0.923)、0.874(0.856~0.882)和0.789(0.771~0.796),均具有一定的预测价值。结论 S-100β、CysC和NF-κB为AIS患者静脉溶栓后HT发生的危险因素,对HT发生具有一定的预测价值。 展开更多
关键词 急性缺血性脑卒中 静脉溶栓 出血转化 中枢神经特异蛋白 胱抑素C 核因子ΚB 外周血 危险因素 预测价值
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Optimal b value of diffusion-weighted imaging on a 3.0T magnetic resonance scanner in Crohn's disease 被引量:4
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作者 Qi Feng Yun-Qi Yan +2 位作者 Jiong Zhu Jin-Lu Tong Jian-Rong Xu 《World Journal of Gastroenterology》 SCIE CAS 2014年第35期12621-12627,共7页
AIM:To determine the optimal b value of diffusionweighted imaging for detecting active inflammation in Crohn's disease.METHODS:Thirty-one patients clinically diagnosed with active Crohn’s disease were referred fo... AIM:To determine the optimal b value of diffusionweighted imaging for detecting active inflammation in Crohn's disease.METHODS:Thirty-one patients clinically diagnosed with active Crohn’s disease were referred for magnetic resonance examination.All patients were scanned on a3.0T magnetic resonance scanner using the same protocol involving four different b values(800,1500,2000and 2500 s/mm2).The diagnostic effect of diffusionweighted imaging was evaluated and compared with endoscopic findings.The diffusion-weighted image quality of four b value groups was evaluated and apparent diffusion coefficient was measured for both nor-mal and inflammatory intestinal segments.RESULTS:The contrast-to-noise ratio and signal-tonoise ratio were not satisfied when b value 2000 or2500 s/mm2 was adopted(36.52±14.95 vs 34.78±24.83,P>0.05;53.58±23.45 vs 47.58±29.67,P>0.05).The qualitative image quality was not enough to meet diagnostic requirement.No matter which b value was chosen,the apparent diffusion coefficient of inflammatory intestinal segments was significantly lower than that of normal intestinal segments(1.38±0.28 vs 2.00±0.38,P<0.01;1.09±0.20 vs 1.50±0.28,P<0.01;0.95±0.19 vs 1.34±0.28,P<0.01;0.88±0.14 vs 1.20±0.21,P<0.01).The lesion detection rate(90.32%),diagnostic sensitivity(81.18%)and specificity(95.10%)would be appropriate when b value 1500 s/mm2 was adopted.CONCLUSION:High b value is suitable for intestinal DW examination on a high field MR scanner. 展开更多
关键词 Crohn’s DIsEAsE DIFFUsION-WEIGHTED IMAGING b value
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EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER 被引量:27
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作者 张淑琴 《Acta Mathematica Scientia》 SCIE CSCD 2006年第2期220-228,共9页
This article considers the existence of solution for a boundary value problem of fractional order, involving Caputo's derivative{C0D^δtu(t)=g(t,u(t)),0〈t〈1,1〈δ〈2,u(0)α≠0,u(1)=β≠0.
关键词 Boundary value Laplace transform Mittage-Leffler function fractionalderivative Caputo's derivative fixed point CONE
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EXISTENCE OF SOLUTION FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION 被引量:10
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作者 Su Xinwei Liu Landong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第3期291-298,共8页
This paper is concerned with the boundary value problem of a nonlinear fractional differential equation. By means of Schauder fixed-point theorem, an existence result of solution is obtained.
关键词 fractional differential equation boundary value problem Caputo's fractional derivative schauder fixed-point theorem.
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血清CysC、α-Syn联合MRI对帕金森病病情评估及诊断的意义 被引量:1
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作者 吕晨光 路凯 +1 位作者 王丽 李振玲 《国际检验医学杂志》 CAS 2024年第5期554-558,共5页
目的 探讨血清胱抑素C(CysC)、α-突触核蛋白(α-Syn)联合磁共振成像(MRI)对帕金森病(PD)病情评估及诊断的意义。方法 将2019年4月至2021年4月于河北省沧州中西医结合医院(下称该院)治疗的PD患者87例纳入研究作为PD组。根据Hoehn-Yahr(H... 目的 探讨血清胱抑素C(CysC)、α-突触核蛋白(α-Syn)联合磁共振成像(MRI)对帕金森病(PD)病情评估及诊断的意义。方法 将2019年4月至2021年4月于河北省沧州中西医结合医院(下称该院)治疗的PD患者87例纳入研究作为PD组。根据Hoehn-Yahr(H-Y)分期,将PD患者分为Ⅰ~Ⅱ期13例,Ⅲ~Ⅳ期45例,Ⅴ期29例。另外,选取同期于该院进行体检的健康志愿者87例作为对照组。比较各组血清CysC、α-Syn水平,分析血清CysC、α-Syn联合MRI对PD的诊断效能。结果 PD组血清CysC、α-Syn水平均高于对照组,差异有统计学意义(P<0.05);血清CysC、α-Syn水平随着H-Y分期递增升高(P<0.05)。PD组MRI各相位值与对照组比较,黑质致密带、苍白球、壳核、尾状核相位值均降低(P<0.05);不同H-Y分期的PD患者黑质致密带、苍白球、壳核相位值比较,差异均有统计学意义(P<0.05)。CysC、α-Syn单独诊断PD的AUC分别为0.786、0.767,灵敏度分别为58.62%、64.37%,特异度分别为88.51%、87.36%;与MRI、血清CysC、α-Syn单独诊断相比,三项联合诊断PD的灵敏度和准确度较高同,差异有统计学意义(P<0.05)。结论 血清CysC、α-Syn联合MRI对PD诊断效能较高,能为评估PD病情严重程度和早期诊断提供依据。 展开更多
关键词 胱抑素C Α-突触核蛋白 磁共振成像 帕金森病 诊断价值 病情评估
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Davis's Inequalities for Two-Parameter Banach Space Valued Strong Martingales and Geometrical Properties of Banach Spaces 被引量:3
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作者 YE Chen GAN Shi xin ZHANG Feng 《Wuhan University Journal of Natural Sciences》 CAS 2000年第2期131-136,共6页
In this paper we investigated theL 1 norm inequalities of theP square and the maximal functions of two-parameterB-valued strong martingales, which can be applied to characterizep-smoothness andq-convexity of Banach sp... In this paper we investigated theL 1 norm inequalities of theP square and the maximal functions of two-parameterB-valued strong martingales, which can be applied to characterizep-smoothness andq-convexity of Banach spaces. 展开更多
关键词 two parameterB valued strong martingale Daviss inequality p smoothable q convexifiable
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Q value of anelastic S-wave attenuation in Yunnan region 被引量:1
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作者 苏有锦 刘杰 +3 位作者 郑斯华 刘丽芳 付虹 徐彦 《Acta Seismologica Sinica(English Edition)》 CSCD 2006年第2期217-224,共8页
The study of seismic attenuation property is a major subject in seismology. Seismic waves recorded by seismic stations (seismographs) contain source effect, seismic wave propagation effect, site response of seismic ... The study of seismic attenuation property is a major subject in seismology. Seismic waves recorded by seismic stations (seismographs) contain source effect, seismic wave propagation effect, site response of seismic stations and instrumental response. The path effect of seismic wave propagation, site response of seismic stations and instrumental response must be taken out in the study of source property with seismic data. The path effect of seismic wave propagation (seismic attenuation) involves an important influential factor, the anelastic attenuation of medium, which is measured with quality factor Q, apart from geometric attenuation with the distance. As a basic physical parameter of the Earth medium, Q value is essential for quantitative study of earthquakes and source property (e.g. determination of source parameters), which is widely used in earthquake source physics and engineering seismology. 展开更多
关键词 s wave anelastic attenuation Q value Yunnan region
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BOREL'S DIRECTIONS AND SHARED VALUES 被引量:1
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作者 张庆彩 《Acta Mathematica Scientia》 SCIE CSCD 2013年第2期471-483,共13页
In this article, we study the problems of Borel's directions of meromorphic func- tions concerning shared values and prove that if two meromorphie functions of infinite order share three distinct values, their Borel... In this article, we study the problems of Borel's directions of meromorphic func- tions concerning shared values and prove that if two meromorphie functions of infinite order share three distinct values, their Borel's directions are same. 展开更多
关键词 Meromorphic function Borel's direction shared value angular domain
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On Accelerated Singular Value Thresholding Algorithm for Matrix Completion 被引量:2
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作者 Li Wang Jianfeng Hu Chuanzhong Chen 《Applied Mathematics》 2014年第21期3445-3451,共7页
An accelerated singular value thresholding (SVT) algorithm was introduced for matrix completion in a recent paper [1], which applies an adaptive line search scheme and improves the convergence rate from O(1/N) for SVT... An accelerated singular value thresholding (SVT) algorithm was introduced for matrix completion in a recent paper [1], which applies an adaptive line search scheme and improves the convergence rate from O(1/N) for SVT to O(1/N2), where N is the number of iterations. In this paper, we show that it is the same as the Nemirovski’s approach, and then modify it to obtain an accelerate Nemirovski’s technique and prove the convergence. Our preliminary computational results are very favorable. 展开更多
关键词 Matrix COMPLETION sINGULAR value THREsHOLDING Nemirovski’s LINE sEARCH scheme Adaptive LINE sEARCH
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On the Reconstruction of Teachers’Role of Business English Reading Classroom Teaching Based on Literature Circle
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作者 HU Lijun 《Sino-US English Teaching》 2023年第3期90-96,共7页
Business English reading teaching under the mode of“literature circles”focuses on cultivating students’autonomy in reading,group cooperation,and the exchange of ideas among group members.In this teaching mode,teach... Business English reading teaching under the mode of“literature circles”focuses on cultivating students’autonomy in reading,group cooperation,and the exchange of ideas among group members.In this teaching mode,teachers are no longer the masters of the reading classroom,but the helpers,participants,and researchers in the process of students’reading.The reconstruction of teachers’role can promote the benign development of relationship not only between teachers and students,but also between students and students,inject new impetus and vitality into the classroom,and improve students’reading literacy. 展开更多
关键词 business English reading literature circles teachers role RECONsTRUCTION
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Existence of Positive Solutions for a Third-Order Multi-Point Boundary Value Problem 被引量:2
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作者 A. Guezane-Lakoud L. Zenkoufi 《Applied Mathematics》 2012年第9期1008-1013,共6页
By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous ... By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1): where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative . 展开更多
关键词 Guo’s Fixed POINT THEOREM Three POINT Boundary value Problem Positive solution LERAY sCHAUDER Non-Linear Alternative CONTRACTION Principle
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Resolution of Grandi’s Paradox as Extended to Complex Valued Functions 被引量:2
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作者 Serdar Beji 《Advances in Pure Mathematics》 2020年第8期447-463,共17页
Grandi’s paradox, which was posed for a real function of the form <span style="white-space:nowrap;">1/(1+ <em>x</em>)</span>, has been resolved and extended to complex valued functio... Grandi’s paradox, which was posed for a real function of the form <span style="white-space:nowrap;">1/(1+ <em>x</em>)</span>, has been resolved and extended to complex valued functions. Resolution of this approximately three-hundred-year-old paradox is accomplished by the use of a consistent truncation approach that can be applied to all the series expansions of Grandi-type functions. Furthermore, a new technique for improving the convergence characteristics of power series with alternating signs is introduced. The technique works by successively averaging a series at different orders of truncation. A sound theoretical justification of the successive averaging method is demonstrated by two different series expansions of the function <span style="white-space:nowrap;">1/(1+ e<sup><em>x</em> </sup>)</span> . Grandi-type complex valued functions such as <span style="white-space:nowrap;">1/(<em>i</em> + <em>x</em>)</span> are expressed as consistently-truncated and convergence-improved forms and Fagnano’s formula is established from the series expansions of these functions. A Grandi-type general complex valued function <img src="Edit_f4efd7cd-6853-4ca4-b4dc-00f0b798c277.png" width="80" height="24" alt="" /> is introduced and expanded to a consistently truncated and successively averaged series. Finally, an unorthodox application of the successive averaging method to polynomials is presented. 展开更多
关键词 Grandi’s Paradox Real and Complex valued Functions series Expansions
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Unified Equation of Fundamental Forces’ Coupling Values, and the Existence of Subsequent, Fifth and Other, Forces 被引量:2
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作者 Kaveh Mozafari 《Journal of Applied Mathematics and Physics》 2022年第8期2499-2507,共9页
This paper provides an equation to entangle all known fundamental forces by employing their coupling constants, i.e., strong (α<sub>s</sub>), electromagnetic (α), weak (α<sub>w</sub>), and g... This paper provides an equation to entangle all known fundamental forces by employing their coupling constants, i.e., strong (α<sub>s</sub>), electromagnetic (α), weak (α<sub>w</sub>), and gravitational (α<sub>g</sub>) interaction coupling values. The constant coupling formulation is further indicative of many other fundamental forces with significantly weaker coupling values. As an example, the fifth fundamental force, Kashi’s Force, is found to have a coupling constant of 10<sup>-1446</sup>, which is significantly smaller than the smallest known fundamental force, gravitational force, with an approximate coupling constant value of 10<sup>-38</sup>. Additionally, the paper finds the sum of all fundamental forces based on the equation proposed is equal to 0.118065, which is within the range of effective world value of the strong coupling constant α<sub>s</sub>(M<sup>2</sup>z</sub>). 展开更多
关键词 Fundamental Forces Coupling value Kashi’s Force Unified Equation
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