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Random Double Tensors Integrals

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Annals of Applied Mathematics 2023年第1期39卷 1-28页

作者： shih Yu chang Yimin Wei Department of Applied Data Science San Jose State UniversitySan JoseCAUSA School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics Fudan UniversityShanghai 200433China

In this work,we try to build a theory for random double tensor integrals(DTI).We begin with the definition of DTI and discuss how randomness structure is built upon ***,the tail bound of the unitarily invariant norm for the random DTI is established and this bound can help us to derive tail bounds of the unitarily invariant norm for various types of two tensors means,e.g.,arithmetic mean,geometric mean,harmonic mean,and general *** associating DTI with perturbation formula,i.e.,a formula to relate the tensor-valued function difference with respect the difference of the function input tensors,the tail bounds of the unitarily invariant norm for the Lipschitz estimate of tensor-valued function with random tensors as arguments are derived for vanilla case and quasi-commutator case,*** also establish the continuity property for random DTI in the sense of convergence in the random tensor mean,and we apply this continuity property to obtain the tail bound of the unitarily invariant norm for the derivative of the tensor-valued function.

关键词： Einstein product double tensor integrals(DTI) random DTI tail bound Lipschitz estimate convergence in the random tensor mean derivative of tensor-valued function

老子哲学与“道元”:人工智能token的语义与应用探索

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中国科技术语 2025年第1期27卷 57-63页

作者：张中鸿张庆瑞台湾大学哲学系中国台北市320314 中原大学物理系中国台湾中坜106319

自然语言处理建构在“道元(token)”之上,道元是AI算法处理和学习各种文字、图像与声音数据类型的基本元素。道元生成的过程与老子“道生一,一生二,二生三,三生万物”相似。大语言模型利用“间距”产生道元后,转换成位,透过大量数据的... 详细信息

自然语言处理建构在“道元(token)”之上,道元是AI算法处理和学习各种文字、图像与声音数据类型的基本元素。道元生成的过程与老子“道生一,一生二,二生三,三生万物”相似。大语言模型利用“间距”产生道元后,转换成位,透过大量数据的学习与计算,进行新的道元生成与意义重组。由于结合概率重组,人工智能出现类似于人类行为的不可预测性和独特性。未来借鉴老子哲学和汉字的多样性,人工智能可以发展出更全面和创新的框架。

关键词：道元位道元化间距人工智能老子之道

ON THE THEORY OF NON-LINEAR OPERATOR EQUATIONS ON CONJUGATELY SIMILAR SPACES AND ITS SOME APPLICATIONS

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四川大学学报(自然科学版) 1962年第1期 69-72页

作者： chang shih-Sen (Szechwan University)

Conjugately similar space is a special kind of Banach space and wasintroduced by *** theory of non-linear operator equations on conjugatelysimilar spaces was discussed by ***(sce[?]).The purpese of thispaper is to discuss further this theory and to give its some *** paper contains three ***§1,we introduce some defin tions usedlater and some elementary properties of the conjugately similar ***§2,we prove the following theorems:*** R be a conjugately similar space and f(x)be a real,Fréchet-differentiable at any point of R,weakly lower semi-continuous *** there

关键词： ON THE THEORY OF NON-LINEAR OPERATOR EQUATIONS ON CONJUGATELY SIMILAR SPACES AND ITS SOME APPLICATIONS ITS

Gastric carcinoid tumor in a patient with a past history of gastrointestinal stromal tumor of the stomach

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World Journal of Gastroenterology 2008年第44期14卷 6884-6887页

作者： Chien-Yuan Hung Ming-Jen Chen Shou-Chuan shih Tsang-Pai Liu Yu-Jan Chan Tsang-En Wang Wen-Hsiung chang Division of Gastroenterology Department of Internal MedicineMackay Memorial Hospital and Mackay MedicineNursing and Management CollegeTaipeiTaiwanChina Department of General Surgery Mackay Memorial HospitalTaipeiTaiwanChina Department of Pathology Mackay Memorial HospitalTaipeiTaiwanChina

Gastrointestinal stromal tumor is the most common mesenchymal tumor in the gastrointestinal tract. It may coexist with other type of cancers,and if so,the tumors usually involve the stomach. The most common associated cancers are gastrointestinal carcinomas. We report a 65-year-old woman with a history of gastric gastrointestinal stromal tumor who had undergone subtotal segmental gastrectomy. New polypoid lesions were detected on a follow-up gastroscopy one year later. The lesions were biopsied and found to be carcinoid tumors. There was serum hypergastrinemia,and type 1 gastric carcinoid tumor was diagnosed. A total gastrectomy was performed. Pathologic examination revealed both carcinoid tumors and a recurrent gastrointestinal stromal tumor.

关键词： Hypergastrinemia Multiple primaryneoplasms Stomach Gastrointestinal stromal tumor Carcinoid tumor

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中国文化“译出”路径下翻译立场的阐释

外语学刊 2025年第1期 99-105页

作者：王昌芹安丰存延边大学外国语学院延吉133002 吉林农业大学外国语学院长春130118 吉林大学外国语学院长春130012

中国文化外译渐成主流之势,中国文化“译出”路径是一种客观存在。本文基于翻译立场概念特征及其研究现状的考察,以中国文化“译入”“译出”路径下翻译立场的差异为立足点,肯定中国文化“译入”路径对传播中国文化的价值,同时强调中国... 详细信息

中国文化外译渐成主流之势,中国文化“译出”路径是一种客观存在。本文基于翻译立场概念特征及其研究现状的考察,以中国文化“译入”“译出”路径下翻译立场的差异为立足点,肯定中国文化“译入”路径对传播中国文化的价值,同时强调中国文化“译出”路径下翻译立场表达的必要性和现实性。在此基础上,从内涵特征和实现途径两方面阐释中国文化“译出”路径下的翻译立场表达。在内涵特征上,体现译者翻译立场与国家翻译立场的共场,以及动态多维的翻译批评新体系的构建;在实现途径上,倡导以“中国译者为主,外语译者为辅”的中西合作译者模式,塑造以“走进去”为导向的翻译价值观,以“异化—归化”连续统策略指导中译外翻译实践。

关键词：中国文化外译 “译出” 翻译立场翻译批评新体系译者模式翻译价值观

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高应力大巷底鼓机理及其稳定性控制方法

煤矿现代化 2025年第1期34卷 129-134页

作者：常庆灵山西潞安集团余吾煤业有限责任公司山西长治046100

针对余吾煤业1号回风大巷在高应力扰动下出现的巷道底鼓严重问题,综合运用理论分析、数值计算和现场试验相结合的方法,系统研究了高应力大巷底鼓机理及其稳定性控制方法。理论计算结果表明,高应力巷道底板破坏深度达1.35 m,底板滑移面... 详细信息

针对余吾煤业1号回风大巷在高应力扰动下出现的巷道底鼓严重问题,综合运用理论分析、数值计算和现场试验相结合的方法,系统研究了高应力大巷底鼓机理及其稳定性控制方法。理论计算结果表明,高应力巷道底板破坏深度达1.35 m,底板滑移面受到的滑动力达3.11 MPa,超过了底板砂质泥岩极限抗拉强度,导致巷道底板发生底鼓。从高应力巷道底鼓控制角度出发,提出了高应力巷道顶底板加强锚索与巷道两帮锚杆联合支护的巷道底鼓控制技术,数值模拟结果表明巷道底鼓量可降低67%,有效控制底鼓的同时,也可为巷道整体稳定提供支撑。通过现场试验,研究提出的巷道底鼓控制方法可使回风大巷顶板下沉值降低37%,底鼓值降低72%,两帮变形量降低53%,有效保证了回风大巷的稳定。研究结果对于指导深部矿井高应力环境下巷道底鼓控制具有重要实践意义。

关键词：高应力巷道围岩变形底鼓稳定性支护

Diagnostic capability of peripapillary retinal nerve fiber layer parameters in time-domain versus spectral-domain optical coherence tomography for assessing glaucoma in high myopia

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International Journal of Ophthalmology(English edition) 2017年第7期10卷 1106-1112页

作者： Mei-Ching Teng Yi-chieh Poon Kuo-Chi Hung Hsueh-Wen chang Ing-Chou Lai Jen-Chia Tsai Pei-Wen Lin Chien-Yun Wu Chueh-Tan Chen Pei-chang Wu Department of Ophthalmology Kaohsiung Chang Gung Memorial Hospital and Chang Gung University College of MedicineNiaosong Dist Department of Biological Sciences National Sun Yat-Sen University

AIM： To evaluate and compare the diagnostic capabilities of peripapillary retinal nerve fiber layer（p-RNFL） parameters of Spectralis optical coherence tomography（OCT） versus Stratus OCT to detect glaucoma in patients with high myopia. METHODS： This is a retrospective, cross-sectional study. Sixty highly myopic eyes of 60 patients were enrolled, with 30 eyes in the glaucoma group and 30 eyes in the control group. All eyes received peripapillary imaging of the optic disc using Stratus and Spectralis OCT. Areas under the receiver operating characteristic curve（AUROC） and the sensitivity at specificity of 〉80% and 〉95% for p-RNFL parameters obtained using the two devices to diagnose glaucoma were analysed and compared. RESULTS： In Spectralis OCT, p-RNFL thickness parameters with the largest AUROC were the temporal-inferior sector（0.974） and the inferior quadrant（0.951）, whereas in Stratus OCT, the best parameters were the 7-o＇clock sector（0.918） and the inferior quadrant（0.918）. Compared to the Stratus OCT parameters, the Spectralis OCT parameters demonstrated generally higher AUROC; however, the difference was not statistically significant. CONCLUSION： The best p-RNFL parameters for diagnosing glaucoma in patients with high myopia were the temporal-inferior sector on Spectralis OCT and the 7-o＇clock sector on Stratus OCT. There were no significant differences between the AUROCs for Spectralis OCT and Stratus OCT, which suggest that the glaucoma diagnostic capabilities of these two devices in patients with high myopia are similar.

关键词： diagnostic capability glaucoma high myopia optical coherence tomography retinal nerve fiber layer

LEGENDRE TRANSFORM-DUAL SOLUTION FOR INVESTMENT AND CONSUMPTION PROBLEM UNDER THE VASICEK MODEL

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Journal of Systems Science & Complexity 2014年第5期27卷 911-927页

作者： chang Hao chang Kai Department of Mathematics Tianjin Polytechnic University School of Management Tianjin University School of Finance Zhejiang University of Finance & Economics

This paper studies an investment and consumption problem with stochastic interest rate,where interest rate is governed by the Vasicek *** financial market is composed of one riskfree asset and one risky asset,in which stock price dynamics is assumed to be generally correlated with interest rate *** aim is to maximize expected utility of consumption and terminal wealth in the finite *** transform is used to deal with this investment and consumption problem and the explicit solutions of the optimal investment and consumption strategies with power and logarithm preference are ***,the authors add a numerical example to analyze the effect of market parameters on the optimal investment and consumption strategy and provide some economic implications.

关键词： Dynamic programming investment and consumption Legendre transform the closedform solution the Vasicek model

Differentiation and Pro-Angiogenic Potential of Infantile Hemangioma Stem Cells

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Chinese Journal of Plastic and Reconstructive Surgery 2020年第1期2卷 25-34页

作者： Hanru YING Qianyi CHEN Xuanfeng CHEN Zhang YU MD shih-Jen chang Lei chang Gang MA Yajing QIU Hui CHEN Xiaoxi LIN Department of Plastic and Reconstructive Surgery Shanghai Ninth People’s HospitalShanghai Jiao Tong University School of MedicineShanghai 200011China

Objectives Infantile hemangioma(IH)is defined as a benign vascular tumor composed of immature vascular endothelial cells,with the unique characteristics of rich vascularization and self-regression into fibro-fatty ***133-positive hemangioma stem cells(HemSCs),present in the proliferating IH tissue,can be used to establish the IH animal model,which has highlighted the pathogenesis of IH in recent *** study focused on the biological characteristics and differentiation capacity of HemSCs and aimed to provide a theoretical possibility for its application in tissue *** To further confirm our hypothesis,we used fluorescence-activated cell sorting(FACS),in vitro multipotent induced differentiation,angiogenesis assay,and antibody array to identify the surface markers,multipotent differential potential,angiogenesis potential,and secreted factors of HemSCs,respectively,utilizing human adipose stem cells(hADSCs)as the *** We successfully isolated and cultured *** indicated that,on average,more than 80%of HemSCs matched the criteria of mesenchymal stem cell(MSC)surface *** results confirmed that HemSCs could differentiate into adipocytes,osteocytes,and ***,compared with fibroblasts or hADSCs,HemSCs could promote angiogenesis through *** HemSCs may originate from normal MSCs,and owing to their powerful proliferative and angiogenic abilities,they could be considered an IH pathogenic *** characteristics demonstratet heir potential as a candidate seed cell in tissue engineering.

关键词： Infantile Hemangioma Hemangioma Stem Cell Angiogenesis Mesenchymal Stem Cell