Many works have investigated the problem of reparameterizing rational B^zier curves or surfaces via MSbius transformation to adjust their parametric distribution as well as weights, such that the maximal ratio of weig...Many works have investigated the problem of reparameterizing rational B^zier curves or surfaces via MSbius transformation to adjust their parametric distribution as well as weights, such that the maximal ratio of weights becomes smallerthat some algebraic and computational properties of the curves or surfaces can be improved in a way. However, it is an indication of veracity and optimization of the reparameterization to do prior to judge whether the maximal ratio of weights reaches minimum, and verify the new weights after MSbius transfor- mation. What＇s more the users of computer aided design softwares may require some guidelines for designing rational B6zier curves or surfaces with the smallest ratio of weights. In this paper we present the necessary and sufficient conditions that the maximal ratio of weights of the curves or surfaces reaches minimum and also describe it by using weights succinctly and straightway. The weights being satisfied these conditions are called being in the stable state. Applying such conditions, any giving rational B6zier curve or surface can automatically be adjusted to come into the stable state by CAD system, that is, the curve or surface possesses its optimal para- metric distribution. Finally, we give some numerical examples for demonstrating our results in important applications of judging the stable state of weights of the curves or surfaces and designing rational B6zier surfaces with compact derivative bounds.展开更多
A rational quantum state sharing protocol with the semi-off-line dealer is proposed.Firstly,the dealer Alice shares an arbitrary two-particle entangled state with the players by Einstein-Podolsky-Rosen(EPR)pairs and G...A rational quantum state sharing protocol with the semi-off-line dealer is proposed.Firstly,the dealer Alice shares an arbitrary two-particle entangled state with the players by Einstein-Podolsky-Rosen(EPR)pairs and Greenberger-Horne-Zeilinger(GHZ)states.The EPR pairs are prepared by Charlie instead of the dealer,reducing the workload of the dealer.Secondly,all players have the same probability of reconstructing the quantum state,guaranteeing the fairness of the protocol.In addition,the dealer is semi-off-line,which considerably reduces the information exchanging between the dealer and the players.Finally,our protocol achieves security,fairness,correctness,and strict Nash equilibrium.展开更多
Huanglongbing(HLB)is a disease that has devastated the Florida citrus industry,threatens the entire U.S.citrus industry,and globally is rapidly spreading.Florida’s citrus production is 90%sweet orange,which is quite ...Huanglongbing(HLB)is a disease that has devastated the Florida citrus industry,threatens the entire U.S.citrus industry,and globally is rapidly spreading.Florida’s citrus production is 90%sweet orange,which is quite sensitive to HLB.The heavy reliance on sweet orange for Florida citrus production makes the industry especially vulnerable to diseases that are damaging to this type of citrus.Furthermore,90%of Florida oranges are used in producing orange juice that is defined by a federal regulation known as the“orange juice standard”,specifying that at least 90%of“orange juice”must be derived from Citrus sinensis.Genomic analyses definitively reveal that sweet orange is not a true species,but just one of many introgression hybrids of C.reticulata and C.maxima,with phenotypic diversity resulting from accumulated mutations in this single hybrid,the“sweet orange”.No other fruit industry is limited by law to such a narrow genetic base.Fortunately,there are new citrus hybrids displaying reduced sensitivity to HLB,and in some cases they produce juice,alone or in blends,that consumers would recognize as“orange juice”.Reconsidering current regulations on orange juice standards may permit use of such hybrids in“orange juice”,providing greater latitude for commercialization of these hybrids,leading to higher-quality orange juice and a more sustainable Florida orange juice industry.展开更多
"Reason of state"在西方政治思想史中是一个具有历史转折意义的关键术语,它的出现标志着西方现代政治的开端。学界通常从国家统治手段理性化的角度将其译为"国家理性"。然而,若从被创造的具体的"文本语境&qu..."Reason of state"在西方政治思想史中是一个具有历史转折意义的关键术语,它的出现标志着西方现代政治的开端。学界通常从国家统治手段理性化的角度将其译为"国家理性"。然而,若从被创造的具体的"文本语境"和"历史语境"来解读,即从马基雅维利的整体思想和他所处的意大利城市共和国的时代特点,到西方政治社会转型过程中民族国家的崛起,"reason of state"均展现出"国家(利益)至上"的发明、散播与演变。就此而言,"reason of state"在西方现代性的语境中展现了国家成为政治的中心。展开更多
The roles of the lightest vector mesons ρ and ω in the multi-Skyrmion states are studied using the hidden local symmetry approach up to the next-to-leading order,including the homogeneous Wess-Zumino terms.The low-e...The roles of the lightest vector mesons ρ and ω in the multi-Skyrmion states are studied using the hidden local symmetry approach up to the next-to-leading order,including the homogeneous Wess-Zumino terms.The low-energy constants in the effective field theory are determined using the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action.With only two inputs,m_(ρ) and f_(π),it is possible to determine all low-energy constants without ambiguity.The vector meson effects can be investigated by sequentially integrating vector mesons,and their geometry can be elucidated by comparing the results using the low-energy constants estimated from the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action.We found that theρmeson reduces the masses of the multi-Skyrmion states and increases the overlaps of their constituents,whereas theωmeson repulses the constituents of the multi-Skyrmion states and increases their masses.Therefore,these vector mesons are crucial in the Skyrme model approach to nuclei.We also found that the warping factor,an essential element in the holographic model of QCD,affects the properties of the multi-Skyrmion states and cannot be ignored.展开更多
基金Supported by the National Nature Science Foundations of China(61070065)
文摘Many works have investigated the problem of reparameterizing rational B^zier curves or surfaces via MSbius transformation to adjust their parametric distribution as well as weights, such that the maximal ratio of weights becomes smallerthat some algebraic and computational properties of the curves or surfaces can be improved in a way. However, it is an indication of veracity and optimization of the reparameterization to do prior to judge whether the maximal ratio of weights reaches minimum, and verify the new weights after MSbius transfor- mation. What＇s more the users of computer aided design softwares may require some guidelines for designing rational B6zier curves or surfaces with the smallest ratio of weights. In this paper we present the necessary and sufficient conditions that the maximal ratio of weights of the curves or surfaces reaches minimum and also describe it by using weights succinctly and straightway. The weights being satisfied these conditions are called being in the stable state. Applying such conditions, any giving rational B6zier curve or surface can automatically be adjusted to come into the stable state by CAD system, that is, the curve or surface possesses its optimal para- metric distribution. Finally, we give some numerical examples for demonstrating our results in important applications of judging the stable state of weights of the curves or surfaces and designing rational B6zier surfaces with compact derivative bounds.
基金Project supported by the National Key Research and Development Program of China(Grant No.2020YFB1805405)the 111 Project,China(Grant No.B21049)+1 种基金the Foundation of Guizhou Provincial Key Laboratory of Public Big Data,China(Grant No.2019BDKFJJ014)the Fundamental Research Funds for the Central Universities,China(Grant No.2020RC38)。
文摘A rational quantum state sharing protocol with the semi-off-line dealer is proposed.Firstly,the dealer Alice shares an arbitrary two-particle entangled state with the players by Einstein-Podolsky-Rosen(EPR)pairs and Greenberger-Horne-Zeilinger(GHZ)states.The EPR pairs are prepared by Charlie instead of the dealer,reducing the workload of the dealer.Secondly,all players have the same probability of reconstructing the quantum state,guaranteeing the fairness of the protocol.In addition,the dealer is semi-off-line,which considerably reduces the information exchanging between the dealer and the players.Finally,our protocol achieves security,fairness,correctness,and strict Nash equilibrium.
文摘Huanglongbing(HLB)is a disease that has devastated the Florida citrus industry,threatens the entire U.S.citrus industry,and globally is rapidly spreading.Florida’s citrus production is 90%sweet orange,which is quite sensitive to HLB.The heavy reliance on sweet orange for Florida citrus production makes the industry especially vulnerable to diseases that are damaging to this type of citrus.Furthermore,90%of Florida oranges are used in producing orange juice that is defined by a federal regulation known as the“orange juice standard”,specifying that at least 90%of“orange juice”must be derived from Citrus sinensis.Genomic analyses definitively reveal that sweet orange is not a true species,but just one of many introgression hybrids of C.reticulata and C.maxima,with phenotypic diversity resulting from accumulated mutations in this single hybrid,the“sweet orange”.No other fruit industry is limited by law to such a narrow genetic base.Fortunately,there are new citrus hybrids displaying reduced sensitivity to HLB,and in some cases they produce juice,alone or in blends,that consumers would recognize as“orange juice”.Reconsidering current regulations on orange juice standards may permit use of such hybrids in“orange juice”,providing greater latitude for commercialization of these hybrids,leading to higher-quality orange juice and a more sustainable Florida orange juice industry.
文摘"Reason of state"在西方政治思想史中是一个具有历史转折意义的关键术语,它的出现标志着西方现代政治的开端。学界通常从国家统治手段理性化的角度将其译为"国家理性"。然而,若从被创造的具体的"文本语境"和"历史语境"来解读,即从马基雅维利的整体思想和他所处的意大利城市共和国的时代特点,到西方政治社会转型过程中民族国家的崛起,"reason of state"均展现出"国家(利益)至上"的发明、散播与演变。就此而言,"reason of state"在西方现代性的语境中展现了国家成为政治的中心。
基金supported by the National Natural Science Foundation of China(Grant Nos.11875147,and 12147103)。
文摘The roles of the lightest vector mesons ρ and ω in the multi-Skyrmion states are studied using the hidden local symmetry approach up to the next-to-leading order,including the homogeneous Wess-Zumino terms.The low-energy constants in the effective field theory are determined using the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action.With only two inputs,m_(ρ) and f_(π),it is possible to determine all low-energy constants without ambiguity.The vector meson effects can be investigated by sequentially integrating vector mesons,and their geometry can be elucidated by comparing the results using the low-energy constants estimated from the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action.We found that theρmeson reduces the masses of the multi-Skyrmion states and increases the overlaps of their constituents,whereas theωmeson repulses the constituents of the multi-Skyrmion states and increases their masses.Therefore,these vector mesons are crucial in the Skyrme model approach to nuclei.We also found that the warping factor,an essential element in the holographic model of QCD,affects the properties of the multi-Skyrmion states and cannot be ignored.
