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Countability of Infinite Paths in the Infinity Tree: Proof of the Continuum Hypothesis in a Non-Cantorian Infinity Theory
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作者 Philip C. Jackson 《Advances in Pure Mathematics》 2025年第1期73-90,共18页
A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This p... A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This paper discusses how a finite-state Turing machine could, in a countably infinite number of state transitions, write all the infinite paths in the infinity tree to a countably infinite tape. Hence it is argued that the real numbers in the interval [0, 1] are countably infinite in a non-Cantorian theory of infinity based on Turing machines using countably infinite space and time. In this theory, Cantor’s Continuum Hypothesis can also be proved. And in this theory, it follows that the power set of the natural numbers P(ℕ) is countably infinite, which contradicts the claim of Cantor’s Theorem for the natural numbers. However, this paper does not claim there is an error in Cantor’s arguments that [0, 1] is uncountably infinite. Rather, this paper considers the situation as a paradox, resulting from different choices about how to represent and count the continuum of real numbers. 展开更多
关键词 INFINITY Countable UNCOUNTABLE Diagonalization Real Numbers Infinity Tree Continuum hypothesis Turing Machine Infinite Time Turing Machine Non-Cantorian
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Consequences of Invariant Functions for the Riemann Hypothesis
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作者 Michael Mark Anthony 《Advances in Pure Mathematics》 2025年第1期36-72,共37页
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific... This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community. 展开更多
关键词 LambertW Function Principal Branch Riemann hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes
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A test of the species confidence hypothesis in dusky damselfish
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作者 Elle Overs Sydney Stump +1 位作者 Isabel Severino Daniel T.Blumstein 《Current Zoology》 SCIE CAS CSCD 2024年第1期79-86,共8页
Visual cues are important in both interspecific and intraspecific communication.The species confidence hypothesis proposes that animals are more attracted to conspecific colors and repelled by colors,not on their bodi... Visual cues are important in both interspecific and intraspecific communication.The species confidence hypothesis proposes that animals are more attracted to conspecific colors and repelled by colors,not on their bodies.Studies on terrestrial lizards and birds have tested the species confidence hypothesis and shown that conspecific colors elicit reduced antipredator behavior.To date,the species confidence hypothesis has not been tested in the marine environment,specifically on coral reefs where color communication is of vital importance.We addressed this knowledge gap by measuring flight initiation distance(the distance an individual moves away from an approaching threat)in dusky damselfish(Stegastes nigricans)in response to an approaching disc of 1 of 4 different color treatments:conspecific,blue,yellow,and black.If the species confidence hypothesis explained variation in damselfish flight initiation distance,then we expected individuals to tolerate closer approaches when approached by a conspecific color.In addition,we calculated the color difference between each stimulus and its corresponding back-ground as a potential alternative explanation for flight responses.Damselfish tolerated the closest approach from the conspecific color stimulus;there were no significant differences between other colors and there was no support for the alternative color difference hypothesis.As with similar terrestrial studies,these results are relevant to ecotourists'choice of swimsuit and wetsuit colors because color choice may modify naturalantipredatorbehavior. 展开更多
关键词 antipredator behavior flight initiation distance risk assessment species confidence hypothesis Stegastes nigricans
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Definite Answer for Riemann Hypothesis Zeta 3/2 Function Provided by New Material Yb2Si2O7 in Quantum Mechanics
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作者 Hung-Te Henry Su Po-Han Lee 《Journal of Modern Physics》 2024年第9期1409-1429,共21页
This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappin... This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappings, and laser photons governed by electromagnetically induced transparency (EIT) to examine the existence of the RH. In considering the well-developed as Riemann zeta function, we find that the existence of RH has a corrected and self-consistent solution. Specifically, there is the only one pole at s = 1 on the complex plane for Riemann’s functions, which generalizes to all non-trivial zeros while s > 1. The essential solution is based on the BEC phases and on the nature of the laser photon(s). This work also incorporates Heisenberg commutators [ x^,p^]=1/2in the field of quantum mechanics. We found that a satisfactory solution for the RH would be incomplete without the formalism of Heisenberg commutators, BEC phases, and EIT effects. Ultimately, we propose the application of qubits in connection with the RH. 展开更多
关键词 BEC Phases EIT Heisenberg Commutators Laser Photons QUBITS Riemann hypothesis
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The Proof Dilemma of Porter’s Hypothesis:Analysis of Its Verification Difficulties
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作者 Zhiyao Huang Jiajie Qu 《Proceedings of Business and Economic Studies》 2024年第3期109-113,共5页
The Porter Hypothesis,proposed by Michael E.Porter,suggests that stringent environmental regulations can enhance corporate innovation and competitiveness,challenging the traditional view that regulations increase busi... The Porter Hypothesis,proposed by Michael E.Porter,suggests that stringent environmental regulations can enhance corporate innovation and competitiveness,challenging the traditional view that regulations increase business costs.It argues that regulations motivate firms to innovate,leading to improved productivity,cost reductions,and new market opportunities.However,there are proponents and critics in academia regarding the hypothesis.Supporters claim regulations change corporate behavior,reducing agency costs and boosting research and development.Critics argue that if win-win situations exist,businesses would naturally pursue them without regulatory incentives.Key challenges in proving or refuting the hypothesis include its various versions,the difficulty in quantifying innovation and competitiveness,the complex interplay between regulation,innovation,and competitiveness,and the varying impacts across industries and regions.Additionally,the effects may require a long time to manifest,and the hypothesis’s applicability is influenced by evolving environmental policies and market environments.Despite mixed empirical findings,the Porter Hypothesis provides a valuable framework for understanding the relationships among environmental regulation,innovation,and competitiveness,but its validation requires a more comprehensive assessment. 展开更多
关键词 Porter hypothesis Environmental regulations INNOVATE Competitive power
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科学工作假说(Working Hypothesis)是科学创新的基础 被引量:12
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作者 刘东生 《第四纪研究》 CAS CSCD 北大核心 2006年第5期673-677,共5页
中国第四纪研究委员会成立50年来,第四纪科学已进于一个新的后第四纪研究时代了。显著的特点是研究工作由描述性向理念性,由区域性向全球性,由学科性向系统科学性迈进。在此过程中“科学工作假说”的不断出现,是促进其生长的动力。在195... 中国第四纪研究委员会成立50年来,第四纪科学已进于一个新的后第四纪研究时代了。显著的特点是研究工作由描述性向理念性,由区域性向全球性,由学科性向系统科学性迈进。在此过程中“科学工作假说”的不断出现,是促进其生长的动力。在1950年代对中国黄土成因的许多不同的假说促进了后来中国黄土研究的发展。当前中国第四纪研究的许多关于全球变化问题的科学假说,将开辟一个第四纪研究的新时代。 展开更多
关键词 科学工作假说 科学创新
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The Enlightment on Task-based Teaching Derived from Input Hypothesis 被引量:1
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作者 周春红 《Sino-US English Teaching》 2006年第4期36-38,43,共4页
Aiming at gradually developing and perfecting the task-based teaching method, the essay, with enlightment from the Krashen's Input Hypothesis, discusses some issues about input, output, activities and teacher's role... Aiming at gradually developing and perfecting the task-based teaching method, the essay, with enlightment from the Krashen's Input Hypothesis, discusses some issues about input, output, activities and teacher's role in this method. 展开更多
关键词 task-based teaching input hypothesis INPUT OUTPUT ACTIVITIES teacher's role
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Rules Governing Pressure Distribution for a Traveling Charge Under the Condition of Lagrange Hypothesis
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作者 罗运军 谭惠民 陈福泰 《Journal of Beijing Institute of Technology》 EI CAS 1999年第2期43-49,共7页
Aim To study the rules governing pressure distribution of traveling charge under the condition of Lagrange hypothesis. Methods\ The study is based on the laws of conservation of momentum and energy. Results\ The gas ... Aim To study the rules governing pressure distribution of traveling charge under the condition of Lagrange hypothesis. Methods\ The study is based on the laws of conservation of momentum and energy. Results\ The gas flow velocity distribution formula at the back of a projectile and the momentum equation of a traveling charge are deduced, and rules governing their pressure distribution under the Lagrange hypothesis conditions are established. The pressure distribution of a traveling charge is compared with that of a conventional charge. Conclusion\ The pressure distribution in the bore of a traveling charge can be accurately predicted. A parabolic pressure distribution type is revealed. 展开更多
关键词 GUN traveling charge interior ballistics pressure distribution Lagrange hypothesis
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人类“绿色基因”假说(Human"Green-Gene"Hypothesis):核心内容、科学佐证与实践意义 被引量:13
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作者 李树华 康宁 +1 位作者 向鹏天 孟令爽 《中国园林》 CSCD 北大核心 2023年第2期6-12,共7页
首先,对人类“绿色基因”的形成进行探讨,包括人类(动物)与植物共同维持大气中碳氧平衡、人类(动物)与植物互为食物链关系、人体功能中存在植物性功能、绿色是人类眼睛最易看到的颜色、人类血红蛋白的结构相似于叶绿素结构、作为人体呼... 首先,对人类“绿色基因”的形成进行探讨,包括人类(动物)与植物共同维持大气中碳氧平衡、人类(动物)与植物互为食物链关系、人体功能中存在植物性功能、绿色是人类眼睛最易看到的颜色、人类血红蛋白的结构相似于叶绿素结构、作为人体呼吸器官的肺部相似于树木地上部形状(树形)、人类肠道绒毛相似于植物根系毛细根等方面。进而对支持早期人类生活的植物类型与栽培植物诞生进行研究。在此基础上,提出人类“绿色基因”假说及其核心内容,归纳该假说的科学佐证。人类“绿色基因”假说从整体的、发展的思维解释人类与植物关系,奠定了园艺疗法、园林康养、森林康养的坚实基础,并指出接触植物、进行园艺操作与田园劳作是人们实现接地、激发触觉潜在功能的途径。 展开更多
关键词 风景园林 人类与植物关系 人类“绿色基因”假说 绿色脉络 园林康养 园艺疗法
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Sapir-Whorf Hypothesis and Translation
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作者 姜海清 《海外英语》 2013年第5X期4-6,共3页
Sapir-Whorf hypothesis has its implication in translation studies. Each language is a peculiar whole. It is a product, even an expression, of the spiritual personality and the cultural particularity. Translation is a ... Sapir-Whorf hypothesis has its implication in translation studies. Each language is a peculiar whole. It is a product, even an expression, of the spiritual personality and the cultural particularity. Translation is a kind of interlingual and intercultural communication. It involves not only the transference from one language into another, but a whole set of extra-linguistic criteria. In translating we are always crossing a greater or lesser barrier or divide. 展开更多
关键词 Sapir-Whorf hypothesis IMPLICATION LINGUISTIC tran
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Multi-Angle Exploration on the Inner Relationship among Language,Thought and Culture with “Sapir-Whorf Hypothesis”
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作者 李芳 《海外英语》 2019年第12期85-86,共2页
“Sapir-Whorf hypothesis"holds that human thoughts are shaped by their native languages,and speakers of different languages think differently relevantly.The hypothesis is controversial partly because it seems to ... “Sapir-Whorf hypothesis"holds that human thoughts are shaped by their native languages,and speakers of different languages think differently relevantly.The hypothesis is controversial partly because it seems to deny the possibility of a general principle for human cognition,and partly because some findings taken to support it have not reliably replicated.The author argued that considering this hypothesis through the lens of probabilistic inference has the potential to figure out both issues,at least with respect to certain prominent findings in the two languages—Chinese and English.After exploring on the inner relationship among language,thought and culture with the comparison between English and Chinese based on a series of examples including“numbers,Wuhan dialect and some different understandings of idioms”,the author made an inference that language can somewhat affect human thought under the different culture contexts.Besides,it also provides some reference for educators to take in-depth studies on the relationship among language,thought and culture,which is vitally significant for ESL educators and learners. 展开更多
关键词 Sapir-Whorf hypothesis INNER relationship LANGUAGE THOUGHT CULTURE
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A Critical Review of Critical Period Hypothesis in Second Language Acquisition
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作者 黄一平 《海外英语》 2011年第7X期296-298,310,共4页
The researches on Critical Period Hypothesis(CPH) aims to explain the importance of the age factor in the process of learning a second language.In this essay,a critical review of the theoretical issues and empirical r... The researches on Critical Period Hypothesis(CPH) aims to explain the importance of the age factor in the process of learning a second language.In this essay,a critical review of the theoretical issues and empirical research on the CPH will spread out.Meanwhile,the discussion of implication and limitation of the CPH research will be concerned as well. 展开更多
关键词 CRITICAL PERIOD hypothesis SECOND LANGUAGE ACQUISITION age
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A Brief Analysis of Contrastive Analysis Hypothesis
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作者 佘阿莉 《海外英语》 2017年第24期21-21,共1页
This paper makes a brief analysis on the contrastive analysis hypothesis, and it is hoped to be helpful for the English teachers.
关键词 contrastive analysis hypothesis second language acquisition
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分析族群冲突问题的新模式——试评Ethnic Conflict:Commerce,Culture,and Contact Hypothesis
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作者 岳小国 《三峡论坛》 2012年第2期144-146,150,共3页
加拿大多伦多大学政治学系福布斯(H.D.Forbes)教授的著作《族群冲突:贸易、文化及接触理论》在分析、借鉴其它社会科学研究成果的基础上,向人们展示了一种理解和诠释族群冲突问题的新视角。该著作通过评析"接触理论"的利弊,... 加拿大多伦多大学政治学系福布斯(H.D.Forbes)教授的著作《族群冲突:贸易、文化及接触理论》在分析、借鉴其它社会科学研究成果的基础上,向人们展示了一种理解和诠释族群冲突问题的新视角。该著作通过评析"接触理论"的利弊,提出了一个替代性的"语言模型"。以"语言模型"为基础的研究表明接触怎样能够同时改善和恶化族群关系:在个人层面上,接触能使族群关系更加和谐;但在群体层面上,接触可能会激发人们保留各自的群体认同,从而避免他们在同化中付出沉重代价。福布斯认为,接触是一个过程,而不是一个结果,它能打破社会分层,减少文化差异,但同化威胁到一个群体的存在,因此增加了彼此间的紧张关系。毋庸置疑,族群间的差异是冲突合理存在且不可避免的重要原因。 展开更多
关键词 《族群冲突:贸易、文化及接触理论》 族群冲突 接触理论 语言模型
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The Comparison of the Input Hypothesis and the Interaction Hypothesis
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作者 吴思颖 《科技信息》 2010年第33期I0252-I0252,I0235,共2页
This paper present and compare the similarities and differences of the Input Hypothesis and and give guidence in English Teaching practice.
关键词 英语教学 教学方法 英语翻译 阅读
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Krashen's Input Hypothesis and Its Pedagogical Implications on Second Language Teaching 被引量:3
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作者 田东旭 李瑶 《海外英语》 2016年第4期201-203,共3页
Krashen has developed the Input Hypothesis, which has deep influence on teaching method of second language. This thesis focuses on the Krashen's Input Hypothesis, which includes the following five hypotheses: the ... Krashen has developed the Input Hypothesis, which has deep influence on teaching method of second language. This thesis focuses on the Krashen's Input Hypothesis, which includes the following five hypotheses: the acquisition- learning hypothesis, the monitor hypothesis, the natural order hypothesis, the input hypothesis and the effective filter hypothesis. The thesis tries to explore the pedagogical implications of Krashen's Input Hypothesis on second language teaching in the aspects of the input quantity and input quality. The thesis tries to explore the most effective methods of second language teaching, in the hope that it will help to improve the efficiency of second language teaching. 展开更多
关键词 KRASHEN INPUT hypothesis SECOND LANGUAGE TEACHING
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Pharmacokinetics of traditional Chinese syndrome and recipe:a hypothesis and its verification(Ⅰ) 被引量:16
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作者 Xi Huang Ping Ren Ai Dong Wen Li Li Wang Li Zhang Feng Gao Laboratory of Clinical Pharmacology of Chinese Medicine,Xijing Hospital,The Fourth Military Medical University,Xi’an 710032,Shaanxi Province,China Department of Pharmacy,Xijing Hospital,The Fourth Military Medical University,Xi’an 710032,Shaanxi Province,China Department of Physiology,The Fourth Military Medical University,Xi’an 710032,Shaanxi Province,China 《World Journal of Gastroenterology》 SCIE CAS CSCD 2000年第3期384-391,共8页
AIM To propose a hypothesis defining theabsorption,distribution,metabolism andelimination of traditional Chinese recipe(TCR)-component in blood of healthy subjects andpatients,and estimate its correctness.METHODS Th... AIM To propose a hypothesis defining theabsorption,distribution,metabolism andelimination of traditional Chinese recipe(TCR)-component in blood of healthy subjects andpatients,and estimate its correctness.METHODS The pharmacokinetics(PK)of samedose of drug was studied in the animal model oftraditional Chinese syndrome(S)and healthyanimals.The classification,terminology,concept and significance of the hypothesis wereset forth with evidence provided in the presentstudy.The hypotheses consisted of traditionalChinese syndrome PK(S-PK)and traditionalChinese recipe PK(R-PK).Firstly,the observedtetramethylpyrazine(TMP)PK in healthy,chronically reserpinized rats(rat model ofspleen deficiency syndrome,RMSDS)andRMSDS treated with Sijunzi decoction(SJZD)forconfirmation were used to verify S-PK; secondly,the ferulic acid(FA)PK in healthy andhigh molecular weight dextran(HMWD)-inducedrabbit model with blood stasis syndrome(RDBSS)was also used to verify S-PK;andlastly,TMP PK parameters in serum of healthyrats after orally taken Ligusticum wallichii(LW),LW and Salvia miltiorrhiza(LW&SM)decoctions were compared to verify R-PK.RESULTS The apparent first-order absorption[Ka,(13.61±2.56)h<sup>-1</sup>,area under the blooddrug concentration-time curve[AUC,(24.88±9.76)μg.h<sup>-1</sup>mL<sup>-1</sup>],maximum drug concentration[C<sub>max</sub>,(4.82±1.23)μg·mL<sup>-1</sup>]of serum TMP inRMSDS were increased markedly(P【0.05)compared with those[Ka=(5.41±1.91)h<sup>-1</sup>,AUC=(5.20±2.57)μg·h<sup>-1</sup>·mL<sup>-1</sup>,C<sub>max</sub>=(2.33±1.77)μg·mL<sup>-1</sup>]of healthy rats(HR).Theapparent first-order rate constant for α and βdistribution phase[α=(0.38±0.09)h<sup>-1</sup>,β=(0.06±0.03)h<sup>-1</sup>,the apparent first-orderintercompartmental transfer rate constants[K<sub>10</sub>=(0.24±0.07)h<sup>-1</sup>,K<sub>12</sub>=(0.11±0.02)h<sup>-1</sup>,K<sub>21</sub>=(0.11±0.02)h<sup>-1</sup>]of serum TMP in RMSDS weredecreased significantly(P【0.01)comparedwith those[K<sub>10</sub>=(0.88±0.20)h<sup>-1</sup>,K<sub>12</sub>=(1.45±0.47)h<sup>-1</sup>,K<sub>21</sub>=(0.72±0.22)h<sup>-1</sup>]of HR.However,no apparent differences occurredbetween HR and RMSDS treated with SJZD.Theserum FA concentration and its AUC[(5.6690±2.3541)μg·h<sup>-1</sup>·mL<sup>-1</sup>] in RMBSS were also higherthan those[AUC=(2.7566±0.8232)μg·h<sup>-1</sup>·mL<sup>-1</sup>]of healthy rabbits(P【0.05).The Ka(11.51±2.82)h<sup>-1</sup>,AUC(0.84±0.17)μg·h<sup>-1</sup>·mL<sup>-1</sup>of LW & SM-derived TMP in serum weremuch lower(P【0.05)than those[Ka=(19.58±4.14)h<sup>-1</sup>,AUC=(1.27±0.26)μg·h<sup>-1</sup>·mL<sup>-1</sup>]ofLW-derived TMP in serum after oral decoctions.CONCLUSION The SDS and blood stasissyndrome state could affect significantly thepharmacokinetic parameters of drugs and theabnormal SDS pharmacokinetic parameters couldbe normalized by SJZD.The combination ofChinese medicine in TCR could reciprocallyaffect the pharmacokinetic parameters of othercomponents absorbed into the systemiccirculation.These results support the S-and R-PK hypothesis. 展开更多
关键词 TRADITIONAL CHINESE syndrome/recipe CHINESE medicine PHARMACOKINETICS blood stasis spleen deficiency hypothesis
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A measurement-driven adaptive probability hypothesis density filter for multitarget tracking 被引量:9
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作者 Si Weijian Wang Liwei Qu Zhiyu 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2015年第6期1689-1698,共10页
This paper studies the dynamic estimation problem for multitarget tracking. A novel gat- ing strategy that is based on the measurement likelihood of the target state space is proposed to improve the overall effectiven... This paper studies the dynamic estimation problem for multitarget tracking. A novel gat- ing strategy that is based on the measurement likelihood of the target state space is proposed to improve the overall effectiveness of the probability hypothesis density (PHD) filter. Firstly, a measurement-driven mechanism based on this gating technique is designed to classify the measure- ments. In this mechanism, only the measurements for the existing targets are considered in the update step of the existing targets while the measurements of newborn targets are used for exploring newborn targets. Secondly, the gating strategy enables the development of a heuristic state estima- tion algorithm when sequential Monte Carlo (SMC) implementation of the PHD filter is investi- gated, where the measurements are used to drive the particle clustering within the space gate. The resulting PHD filter can achieve a more robust and accurate estimation of the existing targets by reducing the interference from clutter. Moreover, the target birth intensity can be adaptive to detect newborn targets, which is in accordance with the birth measurements. Simulation results demonstrate the computational efficiency and tracking performance of the proposed algorithm. 展开更多
关键词 ADAPTIVE Measurement-driven Multitarget trackin Probability hypothesis density Sequential Monte Carlo
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A Study on Krashen’s Input Hypothesis
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作者 申静静 《教师》 2010年第35期83-84,共2页
关键词 摘要 编辑部 编辑工作 读者
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从Sapir-whorf Hypothesis到文化强势论——汉英对比看文化的制约性 被引量:3
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作者 胡文飞 蒋华 《四川理工学院学报(社会科学版)》 2005年第2期88-91,共4页
Sapir-Whorf的语言决定论假说曾在很长一段时间居于学术界主导地位。但笔者却以为此理论存在一些不足之处,如夸大了语言的功能,解释力有限,忽略了语言的历时变化,以及无法解释语言变异等。而从语言与文化的关系来看,作者更倾向于文化影... Sapir-Whorf的语言决定论假说曾在很长一段时间居于学术界主导地位。但笔者却以为此理论存在一些不足之处,如夸大了语言的功能,解释力有限,忽略了语言的历时变化,以及无法解释语言变异等。而从语言与文化的关系来看,作者更倾向于文化影响语言,即语言差异源于文化差异。 展开更多
关键词 汉英对比 制约性 强势 语言决定论 语言与文化 主导地位 不足之处 历时变化 语言变异 文化影响 文化差异 语言差异 学术界 解释力 忽略
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