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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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Alzheimer’s disease risk after COVID-19:a view from the perspective of the infectious hypothesis of neurodegeneration
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作者 Eugenia Olivera Albany Sáez +3 位作者 Lila Carniglia Carla Caruso Mercedes Lasaga Daniela Durand 《Neural Regeneration Research》 SCIE CAS CSCD 2023年第7期1404-1410,共7页
In light of the rising evidence of the association between viral and bacterial infections and neurodegeneration,we aimed at revisiting the infectious hypothesis of Alzheimer’s disease and analyzing the possible impli... In light of the rising evidence of the association between viral and bacterial infections and neurodegeneration,we aimed at revisiting the infectious hypothesis of Alzheimer’s disease and analyzing the possible implications of COVID-19 neurological sequelae in long-term neurodegeneration.We wondered how SARS-CoV-2 could be related to the amyloid-βcascade and how it could lead to the pathological hallmarks of the disease.We also predict a paradigm change in clinical medicine,which now has a great opportunity to conduct prospective surveillance of cognitive sequelae and progression to dementia in people who suffered severe infections together with other risk factors for Alzheimer’s disease. 展开更多
关键词 Alzheimer amyloid beta antimicrobial cognitive decline COVID-19 infectious hypothesis long-term sequelae NEURODEGENERATION NEUROINFLAMMATION neurological symptoms NEUROTROPISM SARS-CoV-2
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Comparison of Vs and SPT Soil Liquefaction Assessments of NCEER: Including Hypothesis Testing
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作者 Min-Hao Wu Jui-Pin Wang Chih-Kun Liao 《International Journal of Geosciences》 2023年第11期1085-1099,共15页
Soil liquefaction is one of the complex research topics in geotechnical engineering and engineering geology. Especially after the 1964 Niigata earthquake (Japan) induced many soil liquefaction incidents, a variety of ... Soil liquefaction is one of the complex research topics in geotechnical engineering and engineering geology. Especially after the 1964 Niigata earthquake (Japan) induced many soil liquefaction incidents, a variety of soil liquefaction studies were conducted and reported, including the liquefaction potential assessment methods utilizing the shear wave velocity (V<sub>s</sub>) or SPT-N profiles (SPT: standard penetration test). This study used the V<sub>s</sub> and SPT methods recommended by the National Center for Earthquake Engineering Research (NCEER) to examine which is more conservative according to the assessment results on 41 liquefiable soil layers at sites in two major cities in Taiwan. Statistical hypothesis testing was used to make the analysis more quantitative and objective. Based on three sets of hypothesis tests, it shows that the hypothesis—the SPT method is more conservative than the V<sub>s</sub> method—was not rejected on a 5% level of significance. 展开更多
关键词 Soil Liquefaction Standard Penetration Test Shear Wave Velocity hypothesis Testing
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Hygiene hypothesis in inflammatory bowel disease: A criticalreview of the literature 被引量:16
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作者 Natasha A Koloski Laurel Bret Graham Radford-Smith 《World Journal of Gastroenterology》 SCIE CAS CSCD 2008年第2期165-173,共9页
The hygiene hypothesis is thought to be a significant contributor to the growing incidence of inflammatory bowel disease (IBD) around the world, although the evidence for specific factors that underlie the hygiene hyp... The hygiene hypothesis is thought to be a significant contributor to the growing incidence of inflammatory bowel disease (IBD) around the world, although the evidence for specific factors that underlie the hygiene hypothesis in IBD is unclear. We aimed to systematically review the literature to determine which hygiene-related factors are associated with the development of IBD. Publications identified from a broad based MEDLINE and Current Contents search between 1966 and 2007 on key terms relevant to the 'hygiene hypothesis' and IBD including H pylori exposure, helminths, cold chain hypothesis, measles infection and vaccination, antibiotic use, breastfeeding, family size, sibship, urban upbringing, day care attendance and domestic hygiene were reviewed. The literature suggests that the hygiene hypothesis and its association with decreased microbial exposure in childhood probably plays an important role in the development of IBD, although the strength of the supporting data for each of the factors varies considerably. The most promising factors that may potentially be associated with development of IBD include H pylori exposure, helminths, breastfeeding and sibship. However, the vast majority of studies in this area are plagued by serious methodological shortcomings, particularly the reliance on retrospective recall of information making it difficult to truly ascertain the importance of a 'hygiene hypothesis' in IBD. The 'hygiene hypothesis' in IBD is an important area of research that may give clues to the aetiology of this disease. Directions for future research are recommended. 展开更多
关键词 Inflammatory bowel disease Hygiene hypothesis Microbial exposure Cold chain hypothesis H pylori HELMINTHS MEASLES Antibiotic BREASTFEEDING Child care
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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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Thought Confidence: Consumer Emotions and the Confidence Premise Hypothesis
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作者 Hsuan-Yi Chou 《Management Studies》 2016年第5期219-226,共8页
Thought confidence, a subjective perception of metacognition, and the accompanying self-validated effects that occur when thought confidence is induced after exposure to persuasive messages have recently received incr... Thought confidence, a subjective perception of metacognition, and the accompanying self-validated effects that occur when thought confidence is induced after exposure to persuasive messages have recently received increasing attention from scholars. This construct/mechanism has received little exploration in the past, while there remain important research gaps. One question is whether thought confidence can play different roles when induced at different times; another is whether more variables can be identified which effectively induce confidence in existing or subsequent thoughts. The current paper examines a possible antecedent of thought confidence (i.e., consumer emotions) and explores the effects of thought confidence induced in consumers before they are exposed to advertisements. The author posited the confidence premise hypothesis, which holds that higher consumer confidence is a prerequisite for the significantly positive effects of argument strength in advertisements. Eighty-one undergraduates participated in a 2 (emotions: good moods vs. neutral moods) × 2 (argument strength: strong arguments vs. weak arguments) between-subjects experiment. Experimental results indicate that consumers' emotions positively affect their confidence in thoughts generated later. There is an anticipated pattern of interaction between emotions and argument strength in affecting advertising effectiveness, which supports the confidence premise hypothesis. The implications of these and other findings are discussed. 展开更多
关键词 thought confidence METACOGNITION self-validated hypothesis consumer emotions confidence premisehypothesis argument strength
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Riemann Hypothesis, Catholic Information and Potential of Events with New Techniques for Financial and Other Applications
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作者 Prodromos Char. Papadopoulos 《Advances in Pure Mathematics》 2021年第5期524-572,共49页
In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic... In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions (<img src="Edit_5f13a4a5-abc6-4bc5-9e4c-4ff981627b2a.png" width="33" height="21" alt="" />) which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function <em>ζ</em>(<em>s</em>) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9. 展开更多
关键词 Twin Problem Twin’s Problem Unsolved Mathematical Problems Prime Number Problems Millennium Problems Riemann hypothesis Riemann’s hypothesis Number Theory Information Theory Probabilities Statistics Management Financial Applications Arithmetical Analysis Optimization Theory Stock Exchange Mathematics Approximation Methods Manifolds Economical Mathematics Random Variables Space of Events Strategy Games Probability Density Stock Market Technical Analysis Forecasting
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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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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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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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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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Improved pruning algorithm for Gaussian mixture probability hypothesis density filter 被引量:7
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作者 NIE Yongfang ZHANG Tao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第2期229-235,共7页
With the increment of the number of Gaussian components, the computation cost increases in the Gaussian mixture probability hypothesis density(GM-PHD) filter. Based on the theory of Chen et al, we propose an improved ... With the increment of the number of Gaussian components, the computation cost increases in the Gaussian mixture probability hypothesis density(GM-PHD) filter. Based on the theory of Chen et al, we propose an improved pruning algorithm for the GM-PHD filter, which utilizes not only the Gaussian components’ means and covariance, but their weights as a new criterion to improve the estimate accuracy of the conventional pruning algorithm for tracking very closely proximity targets. Moreover, it solves the end-less while-loop problem without the need of a second merging step. Simulation results show that this improved algorithm is easier to implement and more robust than the formal ones. 展开更多
关键词 Gaussian mixture probability hypothesis density(GM-PHD) filter pruning algorithm proximity targets clutter rate
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Does pressure cause liver cirrhosis? The sinusoidal pressure hypothesis 被引量:6
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作者 Sebastian Mueller 《World Journal of Gastroenterology》 SCIE CAS 2016年第48期10482-10501,共20页
Independent of their etiology, all chronic liver diseases ultimately lead to liver cirrhosis, which is a majorhealth problem worldwide. The underlying molecular mechanisms are still poorly understood and no efficient ... Independent of their etiology, all chronic liver diseases ultimately lead to liver cirrhosis, which is a majorhealth problem worldwide. The underlying molecular mechanisms are still poorly understood and no efficient treatment strategies are available. This paper introduces the sinusoidal pressure hypothesis(SPH), which identifies an elevated sinusoidal pressure(SP) as cause of fibrosis. SPH has been mainly derived from recent studies on liver stiffness. So far, pressure changes have been exclusively seen as a consequ-ence of cirrhosis. According to the SPH, however, an elevated SP is the major upstream event that initiates fibrosis via biomechanic signaling by stretching of perisinusoidal cells such as hepatic stellate cells or fibroblasts(SPH part?Ⅰ: initiation). Fibrosis progression is determined by the degree and time of elevated SP. The SPH predicts that the degree of extracellular matrix eventually matches SP with critical thresholds > 12 mmH g and > 4 wk. Elevated arterial flow and final arterialization of the cirrhotic liver represents the self-perpetuating key event exposing the low-pressure-organ to pathologically high pressures(SPH part?Ⅱ: perpetuation). It also defines the "point of no return" where fibrosis progression becomes irreversible. The SPH is able to explain the macroscopic changes of cirrhotic livers and the uniform fibrotic response to various etiologies. It also opens up new views on the role of fat and disease mechanisms in other organs. The novel concept will hopefully stimulate the search for new treatment strategies. 展开更多
关键词 liver stiffness Stretch force Sinusoidal pressure hypothesis liver cirrhosis Hepatic arterial buffer response biomechanics Arterialization Hepatic stellate cells FIBROBLASTS cellular and intercellular mechano-signaling
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Two-Order Approximate and Large Stepsize Numerical Direction Based on the Quadratic Hypothesis and Fitting Method 被引量:3
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作者 Xiaoli Yin Chunming Li Yuan Zhang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第3期901-909,共9页
Many effective optimization algorithms require partial derivatives of objective functions, while some optimization problems' objective functions have no derivatives. According to former research studies, some sear... Many effective optimization algorithms require partial derivatives of objective functions, while some optimization problems' objective functions have no derivatives. According to former research studies, some search directions are obtained using the quadratic hypothesis of objective functions. Based on derivatives, quadratic function assumptions, and directional derivatives, the computational formulas of numerical first-order partial derivatives, second-order partial derivatives, and numerical second-order mixed partial derivatives were constructed. Based on the coordinate transformation relation, a set of orthogonal vectors in the fixed coordinate system was established according to the optimization direction. A numerical algorithm was proposed, taking the second order approximation direction as an example. A large stepsize numerical algorithm based on coordinate transformation was proposed. Several algorithms were validated by an unconstrained optimization of the two-dimensional Rosenbrock objective function. The numerical second order approximation direction with the numerical mixed partial derivatives showed good results. Its calculated amount is 0.2843% of that of without second-order mixed partial derivative. In the process of rotating the local coordinate system 360°, because the objective function is more complex than the quadratic function, if the numerical direction derivative is used instead of the analytic partial derivative, the optimization direction varies with a range of 103.05°. Because theoretical error is in the numerical negative gradient direction, the calculation with the coordinate transformation is 94.71% less than the calculation without coordinate transformation. If there is no theoretical error in the numerical negative gradient direction or in the large-stepsize numerical optimization algorithm based on the coordinate transformation, the sawtooth phenomenon occurs. When each numerical mixed partial derivative takes more than one point, the optimization results cannot be improved. The numerical direction based on the quadratic hypothesis only requires the objective function to be obtained, but does not require derivability and does not take into account truncation error and rounding error. Thus, the application scopes of many optimization methods are extended. 展开更多
关键词 Directional DERIVATIVE NUMERICAL DIFFERENTIAL optimization method QUADRATIC function hypothesis
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Glacial-Interglacial Atmospheric CO_2 Change——The Glacial Burial Hypothesis 被引量:2
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作者 Ning ZENG Department of Meteorology and Earth System Science Interdisciplinary Center, University of Maryland, USA 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2003年第5期677-693,共17页
Organic carbon buried under the great ice sheets of the Northern Hemisphere is suggested to be the missing link in the atmospheric CO<SUB>2</SUB> change over the glacial-interglacial cycles. At glaciation,... Organic carbon buried under the great ice sheets of the Northern Hemisphere is suggested to be the missing link in the atmospheric CO<SUB>2</SUB> change over the glacial-interglacial cycles. At glaciation, the advancement of continental ice sheets buries vegetation and soil carbon accumulated during warmer periods. At deglaciation, this burial carbon is released back into the atmosphere. In a simulation over two glacial-interglacial cycles using a synchronously coupled atmosphere-land-ocean carbon model forced by reconstructed climate change, it is found that there is a 547-Gt terrestrial carbon release from glacial maximum to interglacial, resulting in a 60-Gt (about 30-ppmv) increase in the atmospheric CO<SUB>2</SUB>, with the remainder absorbed by the ocean in a scenario in which ocean acts as a passive buffer. This is in contrast to previous estimates of a land uptake at deglaciation. This carbon source originates from glacial burial, continental shelf, and other land areas in response to changes in ice cover, sea level, and climate. The input of light isotope enriched terrestrial carbon causes atmospheric &#948;<SUP>13</SUP>C to drop by about 0.3‰ at deglaciation, followed by a rapid rise towards a high interglacial value in response to oceanic warming and regrowth on land. Together with other ocean based mechanisms such as change in ocean temperature, the glacial burial hypothesis may offer a full explanation of the observed 80–100-ppmv atmospheric CO<SUB>2</SUB> change. 展开更多
关键词 atmospheric CO2 ice age glacial burial hypothesis CLIMATE
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Krashen's Input Hypothesis and Affective Filter Hypothesis and Their Enlightenment to English Teaching in China 被引量:1
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作者 许琴 《海外英语》 2012年第21期63-65,共3页
"The Input Hypothesis"and"The Affective Filter Hypothesis"are the most important branches of the"Monitor The ory"declared by the famous American linguist Krashen in 1980s.This thesis is b... "The Input Hypothesis"and"The Affective Filter Hypothesis"are the most important branches of the"Monitor The ory"declared by the famous American linguist Krashen in 1980s.This thesis is based on Krashen's Input Hypothesis and Affec tive Filter Hypothesis,aiming to provide an applicable guide for foreign language teachers and learners in China. 展开更多
关键词 INPUT hypothesis AFFECTIVE FILTER hypothesis Engli
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