It is well known that any kind of exact enumerations of rooted maps on nonplanar surface is quite difficult. This paper presents a functional equation for rooted Eulerian maps on the projective plane. A parametric exp...It is well known that any kind of exact enumerations of rooted maps on nonplanar surface is quite difficult. This paper presents a functional equation for rooted Eulerian maps on the projective plane. A parametric expression, through which an exact enumeration by root-valency and the number of edges of maps may be determined, is obtained.展开更多
The light-sensitive red-root mutant, designated as HG1, was newly observed from an indica rice variety, Nankinkodo, when seedlings were grown with roots exposed to natural light. The root color of the mutant began to ...The light-sensitive red-root mutant, designated as HG1, was newly observed from an indica rice variety, Nankinkodo, when seedlings were grown with roots exposed to natural light. The root color of the mutant began to turn slight-red when the roots were exposed to the light at the intensity of 29 ）Jmol/（m^2·s）, then turned dark-red at the light intensity of 180 pmol/（m^2·s）, suggesting that the root color of the mutant was evidently sensitive to light. Furthermore, genetic analysis showed that the character of light-sensitive red-root of the HG1 mutant was controlled by a single dominant gene, tentatively designated as Lsr. With simple sequence repeat markers, Lsrgene was located between the markers RM252 and RM303 on chromosome 4 with the genetic distances of 9.8 cM and 6.4 cM, respectively. These results could be useful for fine mapping and cloning of Lsrgene in rice.展开更多
A short root mutant ksrl with the Kasalath background was isolated from an EMS-mutagenized population in rice. The root length of 6-day-old ksr1 seedlings was only about 20% of the wild type. Genetic analysis indicate...A short root mutant ksrl with the Kasalath background was isolated from an EMS-mutagenized population in rice. The root length of 6-day-old ksr1 seedlings was only about 20% of the wild type. Genetic analysis indicated that the short root phenotype of ksrl was controlled by a recessive mutation in a single nuclear-encoded gene. To map the ksrl mutation, an F2 population was generated by crossing the ksrl mutant with Nipponbare. The KSR1 locus was linked to the SSR marker RM1223 on rice chromosome 4. Eight new SSR markers and two InDel markers were developed around this marker. KSR1 gene was further mapped to a 155 kb region, flanked by the InDel marker 4-24725K and the SSR marker RM17182.展开更多
This paper provides a functional equation astisfied by the generating function for enumerating rooted loopless planar maps with vertex partition. A kind of applications in enumerating, by providing explicit formulae, ...This paper provides a functional equation astisfied by the generating function for enumerating rooted loopless planar maps with vertex partition. A kind of applications in enumerating, by providing explicit formulae, a type of rooted loopless planar maps with the maximum valency of vertices given are described. Meanwhile, the functional equation for enumerating rooted loopless planar maps (connected) with the edge number and the valency of root-vertex as the parameters is also derived directly.展开更多
In this paper we propose two original iterated maps to numerically approximate the nth root of a real number. Comparisons between the new maps and the famous Newton-Raphson method are carried out, including fixed poin...In this paper we propose two original iterated maps to numerically approximate the nth root of a real number. Comparisons between the new maps and the famous Newton-Raphson method are carried out, including fixed point determination, stability analysis and measure of the mean convergence time, which is confirmed by our analytical convergence time model. Stability of solutions is confirmed by measuring the Lyapunov exponent over the parameter space of each map. A generalization of the second map is proposed, giving rise to a family of new maps to address the same problem. This work is developed within the language of discrete dynamical systems.展开更多
We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the...We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the former original iterated map is derived and reinterpreted. Time series, fixed points, stability analysis and convergence schemes are studied and compared for both methods, in the approach of discrete dynamical systems.展开更多
Mobile robot systems performing simultaneous localization and mapping(SLAM) are generally plagued by non-Gaussian noise.To improve both accuracy and robustness under non-Gaussian measurement noise,a robust SLAM algori...Mobile robot systems performing simultaneous localization and mapping(SLAM) are generally plagued by non-Gaussian noise.To improve both accuracy and robustness under non-Gaussian measurement noise,a robust SLAM algorithm is proposed.It is based on the square-root cubature Kalman filter equipped with a Huber' s generalized maximum likelihood estimator(GM-estimator).In particular,the square-root cubature rule is applied to propagate the robot state vector and covariance matrix in the time update,the measurement update and the new landmark initialization stages of the SLAM.Moreover,gain weight matrices with respect to the measurement residuals are calculated by utilizing Huber' s technique in the measurement update step.The measurement outliers are suppressed by lower Kalman gains as merging into the system.The proposed algorithm can achieve better performance under the condition of non-Gaussian measurement noise in comparison with benchmark algorithms.The simulation results demonstrate the advantages of the proposed SLAM algorithm.展开更多
【目的】通过检索分析根系构型相关研究数据库,以期为进一步研究提供新视野新思路。【方法】基于Web of Science数据库收录2011—2020年有关根系构型研究的相关文献753篇,采用Citespace信息可视化手段对根系构型研究年发文量、研究国家...【目的】通过检索分析根系构型相关研究数据库,以期为进一步研究提供新视野新思路。【方法】基于Web of Science数据库收录2011—2020年有关根系构型研究的相关文献753篇,采用Citespace信息可视化手段对根系构型研究年发文量、研究国家与机构、关键词、研究主旨进行分析,旨在归纳当前研究热点与趋势,总结研究现状,展望未来研究方向。【结果】结果表明,2011—2020年10 a间根系构型文献发表量呈快速上升趋势;主要学科涉及植物科学、农学、土壤科学。中国在该研究发文量占全球总的28.69%;主要关键词为根系生理、根系构型、植物类型等3个聚类,热点关键词为“干旱”和“耐受性”;研究方向可分为探测技术、环境影响、根系生长特性、自身调控等4个聚类,其中环境影响为热点研究方向。研究方向自探测技术和根系生长特性(2011—2013年)、植株自身调控及根系生长特性(2014—2017年)至环境影响(2018—2020年)逐步过渡。【结论】鉴于目前研究多集中于根系本身或根系周围环境对土壤微生物、土壤水分生态及土壤养分生态的影响,推断地上部响应根系构型变化以适应全球气候变化可能会成为未来研究热点。展开更多
文摘It is well known that any kind of exact enumerations of rooted maps on nonplanar surface is quite difficult. This paper presents a functional equation for rooted Eulerian maps on the projective plane. A parametric expression, through which an exact enumeration by root-valency and the number of edges of maps may be determined, is obtained.
基金supported by the Shanghai Municipal Education Commission of China (Grant No. 06ZZ21)Shanghai Municipal Science and Technology Commission of China (Grant Nos. 06PJ14074, 075405117 and 08PJ14085)the 948 Program from Ministry of Agriculture, China (Grant No. 2006-G1)
文摘The light-sensitive red-root mutant, designated as HG1, was newly observed from an indica rice variety, Nankinkodo, when seedlings were grown with roots exposed to natural light. The root color of the mutant began to turn slight-red when the roots were exposed to the light at the intensity of 29 ）Jmol/（m^2·s）, then turned dark-red at the light intensity of 180 pmol/（m^2·s）, suggesting that the root color of the mutant was evidently sensitive to light. Furthermore, genetic analysis showed that the character of light-sensitive red-root of the HG1 mutant was controlled by a single dominant gene, tentatively designated as Lsr. With simple sequence repeat markers, Lsrgene was located between the markers RM252 and RM303 on chromosome 4 with the genetic distances of 9.8 cM and 6.4 cM, respectively. These results could be useful for fine mapping and cloning of Lsrgene in rice.
基金supported by the Science and Technology Development of Zhejiang Province, China (Grant No. Z306401)the Science and Technology Foundation of Ningbo, China (Grant No. 2008A610070)Wong Kuancheng Education Foundation
文摘A short root mutant ksrl with the Kasalath background was isolated from an EMS-mutagenized population in rice. The root length of 6-day-old ksr1 seedlings was only about 20% of the wild type. Genetic analysis indicated that the short root phenotype of ksrl was controlled by a recessive mutation in a single nuclear-encoded gene. To map the ksrl mutation, an F2 population was generated by crossing the ksrl mutant with Nipponbare. The KSR1 locus was linked to the SSR marker RM1223 on rice chromosome 4. Eight new SSR markers and two InDel markers were developed around this marker. KSR1 gene was further mapped to a 155 kb region, flanked by the InDel marker 4-24725K and the SSR marker RM17182.
基金This research was partially supported by the U. S. National Science Foundation under Grant Number ECS 85-03212 and by the National Natural Science Foundation of China as well. And, it was completed during the author's stay at RUTCOR, The State Univerity
文摘This paper provides a functional equation astisfied by the generating function for enumerating rooted loopless planar maps with vertex partition. A kind of applications in enumerating, by providing explicit formulae, a type of rooted loopless planar maps with the maximum valency of vertices given are described. Meanwhile, the functional equation for enumerating rooted loopless planar maps (connected) with the edge number and the valency of root-vertex as the parameters is also derived directly.
文摘In this paper we propose two original iterated maps to numerically approximate the nth root of a real number. Comparisons between the new maps and the famous Newton-Raphson method are carried out, including fixed point determination, stability analysis and measure of the mean convergence time, which is confirmed by our analytical convergence time model. Stability of solutions is confirmed by measuring the Lyapunov exponent over the parameter space of each map. A generalization of the second map is proposed, giving rise to a family of new maps to address the same problem. This work is developed within the language of discrete dynamical systems.
文摘We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the former original iterated map is derived and reinterpreted. Time series, fixed points, stability analysis and convergence schemes are studied and compared for both methods, in the approach of discrete dynamical systems.
基金Supported by the National High Technology Research and Development Program of China(2010AA09Z104)the Fundamental Research Funds of the Zhejiang University(2014FZA5020)
文摘Mobile robot systems performing simultaneous localization and mapping(SLAM) are generally plagued by non-Gaussian noise.To improve both accuracy and robustness under non-Gaussian measurement noise,a robust SLAM algorithm is proposed.It is based on the square-root cubature Kalman filter equipped with a Huber' s generalized maximum likelihood estimator(GM-estimator).In particular,the square-root cubature rule is applied to propagate the robot state vector and covariance matrix in the time update,the measurement update and the new landmark initialization stages of the SLAM.Moreover,gain weight matrices with respect to the measurement residuals are calculated by utilizing Huber' s technique in the measurement update step.The measurement outliers are suppressed by lower Kalman gains as merging into the system.The proposed algorithm can achieve better performance under the condition of non-Gaussian measurement noise in comparison with benchmark algorithms.The simulation results demonstrate the advantages of the proposed SLAM algorithm.
文摘【目的】通过检索分析根系构型相关研究数据库,以期为进一步研究提供新视野新思路。【方法】基于Web of Science数据库收录2011—2020年有关根系构型研究的相关文献753篇,采用Citespace信息可视化手段对根系构型研究年发文量、研究国家与机构、关键词、研究主旨进行分析,旨在归纳当前研究热点与趋势,总结研究现状,展望未来研究方向。【结果】结果表明,2011—2020年10 a间根系构型文献发表量呈快速上升趋势;主要学科涉及植物科学、农学、土壤科学。中国在该研究发文量占全球总的28.69%;主要关键词为根系生理、根系构型、植物类型等3个聚类,热点关键词为“干旱”和“耐受性”;研究方向可分为探测技术、环境影响、根系生长特性、自身调控等4个聚类,其中环境影响为热点研究方向。研究方向自探测技术和根系生长特性(2011—2013年)、植株自身调控及根系生长特性(2014—2017年)至环境影响(2018—2020年)逐步过渡。【结论】鉴于目前研究多集中于根系本身或根系周围环境对土壤微生物、土壤水分生态及土壤养分生态的影响,推断地上部响应根系构型变化以适应全球气候变化可能会成为未来研究热点。
