We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holde...We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.展开更多
Euclidean embedding of the 11-dimensional M-theory turned out to require a very large space leaving lavish amounts of 242 dimensional pseudo truly empty “regions” devoid of space and time and consequently of anythin...Euclidean embedding of the 11-dimensional M-theory turned out to require a very large space leaving lavish amounts of 242 dimensional pseudo truly empty “regions” devoid of space and time and consequently of anything resembling ordinary physical energy density. It is shown here using Nash embedding that the ratio of “solid” M-theory spacetime to its required embedding “non-spacetime” is 1/22 for a classical theory and 1/22.18033989 for an analogous fractal theory. This then leads to a maximal ordinary energy density equation equal to that of Einstein’s famous formula E=mc2 but multiplied with in full agreement with previous results obtained using relatively more conventional methods including running the electromagnetic fine structure constant in the exact solution of the hydrogen atom. Consequently, the new equation corresponds to a quantum relativity theory which unlike Einstein’s original equation gives quantitative predictions which agree perfectly with the cosmological measurements of WMAP and the analysis of certain supernova events. Never the less in our view dark energy also exists being the energy of the quantum wave amounting to 95.5 present of the total Einstein theoretical energy which is blind to any distinction between ordinary energy of the quantum particle and the dark energy of the quantum wave. However, since measurement leads to the collapse of the Hawking-Hartle quantum wave, dark energy being a quantum wave non-ordinary energy could not possibly be measured in the usual way unless highly refined quantum wave non-demolition technology is developed if possible. It is a further reason that dark energy having a different sign to ordinary energy is the cause behind the anti gravity force which is pushing the universe apart and accelerating cosmic expansion. Consequently it can be seen as the result of anticlastic Cartan-like curvature caused by extra compactified dimensions of spacetime. A simple toy model demonstration of the effect of curvature in a “material” space is briefly discussed.展开更多
Let X be a rearrangement invariant space is R^n and Wxr1…,rn be an anisotropicSobolev space which is a generalization of Wpri,…,rn,The main subject of this paper is to prove the embedding theorem fot Wpri,…,rn.
The popular radio frequency(RF) chip on board(COB) test has gradually taken the place of onwafer test due to the high efficiency and high power. This paper presents the extended Open-Short-Load(OSL) that is one-port c...The popular radio frequency(RF) chip on board(COB) test has gradually taken the place of onwafer test due to the high efficiency and high power. This paper presents the extended Open-Short-Load(OSL) that is one-port calibration method to verify the error model de-embedding in S parameter measurement. Threelevel cascade structure on COB's system error model is proposed and analyzed. Four kinds of calibration plane solutions for de-embedding are verified. At last,on-board calibration(CAL) kits solution is established to decrease the system error to the least value. The maximum error shift can be controlled less than 0.1 dB comparing with the on-wafer test results. In general,the practical application results prove that this method is reasonable and effective and easy to be mastered.展开更多
Background:Obesity,as an epidemic public health issue in the world today,not only brings a heavy medical burden to society but also seriously affects people’s quality of life.In the context of new evidence for the ef...Background:Obesity,as an epidemic public health issue in the world today,not only brings a heavy medical burden to society but also seriously affects people’s quality of life.In the context of new evidence for the efficacy of acupoint catgut embedding(ACE)in abdominal obesity(AO),it is necessary to elucidate the mechanism of ACE for AO.The intestinal flora is closely associated with obesity,and the study of its intestinal flora may provide evidence to clarify the mechanism of obesity treatment by ACE.Methods:75 participants will be recruited in this study,including 60 eligible female patients diagnosed with AO and 15 healthy female participants.60 female AO patients will be randomized to ACE group,sham ACE group,and waiting list(WL)group in a ratio of 1:1:1.Patients in two ACE groups will receive one ACE treatment per week for 12 consecutive weeks,and in the WL group will not receive any treatment;only their data will be extracted.The primary outcome is the mean change in body mass index.Secondary effects include waist circumference,body weight,the visual analog score of appetite,and the Gastrointestinal Symptom Rating Scale.High-throughput 16S ribosomal ribonucleic acid gene sequencing will be used to detect intestinal flora in each group before and after the intervention.Conclusion:The results of this trial are expected to identify the critical intestinal flora causing AO and the target intestinal flora of AO regulated by ACE,providing further theoretical support for ACE in the clinical treatment of obesity.展开更多
The statute recommendation problem is a sub problem of the automated decision system, which can help the legal staff to deal with the process of the case in an intelligent and automated way. In this paper, an improved...The statute recommendation problem is a sub problem of the automated decision system, which can help the legal staff to deal with the process of the case in an intelligent and automated way. In this paper, an improved common word similarity algorithm is proposed for normalization. Meanwhile, word mover’s distance (WMD) algorithm was applied to the similarity measurement and statute recommendation problem, and the problem scene which was originally used for classification was extended. Finally, a variety of recommendation strategies different from traditional collaborative filtering methods were proposed. The experimental results show that it achieves the best value of Fmeasure reaching 0.799. And the comparative experiment shows that WMD algorithm can achieve better results than TF-IDF and LDA algorithm.展开更多
We prove some Trudinger-type inequalities and Brezis-Gallouet-Wainger inequality on the Heisenberg group, extending to this context the Euclidean results by T. Ozawa.
In this paper the influence of s-quasinormally embedded and c-supplemented subgroups on the p-nilpotency of finite groups is investigate and some recent results are generalized.
基金Supported by Soft Science Project of Henan Province(072102210020)
文摘We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.
文摘Euclidean embedding of the 11-dimensional M-theory turned out to require a very large space leaving lavish amounts of 242 dimensional pseudo truly empty “regions” devoid of space and time and consequently of anything resembling ordinary physical energy density. It is shown here using Nash embedding that the ratio of “solid” M-theory spacetime to its required embedding “non-spacetime” is 1/22 for a classical theory and 1/22.18033989 for an analogous fractal theory. This then leads to a maximal ordinary energy density equation equal to that of Einstein’s famous formula E=mc2 but multiplied with in full agreement with previous results obtained using relatively more conventional methods including running the electromagnetic fine structure constant in the exact solution of the hydrogen atom. Consequently, the new equation corresponds to a quantum relativity theory which unlike Einstein’s original equation gives quantitative predictions which agree perfectly with the cosmological measurements of WMAP and the analysis of certain supernova events. Never the less in our view dark energy also exists being the energy of the quantum wave amounting to 95.5 present of the total Einstein theoretical energy which is blind to any distinction between ordinary energy of the quantum particle and the dark energy of the quantum wave. However, since measurement leads to the collapse of the Hawking-Hartle quantum wave, dark energy being a quantum wave non-ordinary energy could not possibly be measured in the usual way unless highly refined quantum wave non-demolition technology is developed if possible. It is a further reason that dark energy having a different sign to ordinary energy is the cause behind the anti gravity force which is pushing the universe apart and accelerating cosmic expansion. Consequently it can be seen as the result of anticlastic Cartan-like curvature caused by extra compactified dimensions of spacetime. A simple toy model demonstration of the effect of curvature in a “material” space is briefly discussed.
基金Supported by National Natural Science Foundation of China(10871173,10931001,11101372)
文摘Let X be a rearrangement invariant space is R^n and Wxr1…,rn be an anisotropicSobolev space which is a generalization of Wpri,…,rn,The main subject of this paper is to prove the embedding theorem fot Wpri,…,rn.
基金Sponsored by the National Science and Technology Major Project(Class B)(Grant No.2009ZX02306)
文摘The popular radio frequency(RF) chip on board(COB) test has gradually taken the place of onwafer test due to the high efficiency and high power. This paper presents the extended Open-Short-Load(OSL) that is one-port calibration method to verify the error model de-embedding in S parameter measurement. Threelevel cascade structure on COB's system error model is proposed and analyzed. Four kinds of calibration plane solutions for de-embedding are verified. At last,on-board calibration(CAL) kits solution is established to decrease the system error to the least value. The maximum error shift can be controlled less than 0.1 dB comparing with the on-wafer test results. In general,the practical application results prove that this method is reasonable and effective and easy to be mastered.
基金supported by The Youth Special of Yunnan Province Ten-thousand Plan(YNWR-QNBJ-2019-257)the Human Resources and Social Security Department of Yunnan Province and Yunnan Provincial Science Plan Project-Joint of Traditional Chinese Medicine(2017FF117-011,2019FF002-021,202101AZ070001-096)the Science&Technology Department of Yunnan Province.
文摘Background:Obesity,as an epidemic public health issue in the world today,not only brings a heavy medical burden to society but also seriously affects people’s quality of life.In the context of new evidence for the efficacy of acupoint catgut embedding(ACE)in abdominal obesity(AO),it is necessary to elucidate the mechanism of ACE for AO.The intestinal flora is closely associated with obesity,and the study of its intestinal flora may provide evidence to clarify the mechanism of obesity treatment by ACE.Methods:75 participants will be recruited in this study,including 60 eligible female patients diagnosed with AO and 15 healthy female participants.60 female AO patients will be randomized to ACE group,sham ACE group,and waiting list(WL)group in a ratio of 1:1:1.Patients in two ACE groups will receive one ACE treatment per week for 12 consecutive weeks,and in the WL group will not receive any treatment;only their data will be extracted.The primary outcome is the mean change in body mass index.Secondary effects include waist circumference,body weight,the visual analog score of appetite,and the Gastrointestinal Symptom Rating Scale.High-throughput 16S ribosomal ribonucleic acid gene sequencing will be used to detect intestinal flora in each group before and after the intervention.Conclusion:The results of this trial are expected to identify the critical intestinal flora causing AO and the target intestinal flora of AO regulated by ACE,providing further theoretical support for ACE in the clinical treatment of obesity.
文摘The statute recommendation problem is a sub problem of the automated decision system, which can help the legal staff to deal with the process of the case in an intelligent and automated way. In this paper, an improved common word similarity algorithm is proposed for normalization. Meanwhile, word mover’s distance (WMD) algorithm was applied to the similarity measurement and statute recommendation problem, and the problem scene which was originally used for classification was extended. Finally, a variety of recommendation strategies different from traditional collaborative filtering methods were proposed. The experimental results show that it achieves the best value of Fmeasure reaching 0.799. And the comparative experiment shows that WMD algorithm can achieve better results than TF-IDF and LDA algorithm.
基金supported by the Fundamental Research Funds for the Central Universities (1082001)National Science Foundation of China (11101096)
文摘We prove some Trudinger-type inequalities and Brezis-Gallouet-Wainger inequality on the Heisenberg group, extending to this context the Euclidean results by T. Ozawa.
基金Foundation item： Supported by the National Nature Science Foundation of China（11071229） Supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions（10KJD110004）
文摘In this paper the influence of s-quasinormally embedded and c-supplemented subgroups on the p-nilpotency of finite groups is investigate and some recent results are generalized.
