In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition...In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition.The result gives an explicit order such that the geometrical structure of a weighted homogeneous polynomial function germs is preserved after higher order perturbations.展开更多
In this paper, the determinacy of regular lexical selectional restrictions is examined from both the internal structures of the single selectional restrictions (i.e.semantic selectional restrictions) and relationship ...In this paper, the determinacy of regular lexical selectional restrictions is examined from both the internal structures of the single selectional restrictions (i.e.semantic selectional restrictions) and relationship between the structures of several selectional restrictions. Hence, our analysis and description are shifted from casual and indeterminate strings and markers on case basis to determined rules and circumspect dynamic systems, from lexical precepts to knowledge precepts, from the state of memory to rational deduction and rhetorical devices. Further studies indicate that selectional restrictions are intertwined structures, a feature that makes it possible to be one of the bases for lexical selectional restrictions to come into existence. Its related theories are the grarantee for scientific observations of selectional restriction structures.展开更多
Gervais has already characterised finitely I--[q,k]-determinacy of C<sup>∞</sup> map-germs. It seems that Cao Yi’s expressions are in better form than Gervais’（cf. Ref. [2]）. This note will deal with ...Gervais has already characterised finitely I--[q,k]-determinacy of C<sup>∞</sup> map-germs. It seems that Cao Yi’s expressions are in better form than Gervais’（cf. Ref. [2]）. This note will deal with the I-<sub>q,k</sub>-determinacy of C<sup>∞</sup> map-germs which develop the basic results in Refs. [1]and [2]. We shall adopt the notations in Ref. [3],if not specialized, and every map-germ is C<sup>∞</sup>.展开更多
The weak finite determinacy of relative map-germs is studied. The authors first give the concept of weak finite determination, and then give several sufficient conditions for a relative map-germ to be weak finitely de...The weak finite determinacy of relative map-germs is studied. The authors first give the concept of weak finite determination, and then give several sufficient conditions for a relative map-germ to be weak finitely determined, which is an important complement to Mather＇s work. Moreover, us an application, it is proven that the relative stable map-germs are weak finitely determined.展开更多
The maize tassel represents an indeterminate male inflorescence. The number of primordia that a given inflorescence meristem produces is related to its determinacy, i.e., capacity for continued meristem activity.Trans...The maize tassel represents an indeterminate male inflorescence. The number of primordia that a given inflorescence meristem produces is related to its determinacy, i.e., capacity for continued meristem activity.Transcription factors(TFs) controlling determinacy in tassel axillary meristems are well studied in maize, and small RNAs are known to influence tassel development by repressing targets, including tassel-related TFs. As core components of the RNA-inducible silence complex(RISC),Argonaute(AGO) proteins are required for small RNAmediated repression. Here, we characterized the biological function of AGO8b, a tassel-enriched AGO. The abundance of AGO8b transcripts gradually increased during tassel development from inception to gametogenesis and were enriched in the inflorescence meristem and axillary meristems of the tassel. Repressing AGO8b expression resulted in more spikelets, which contributed to a longer central spike of the tassel. Additionally, the transcripts of several HD-ZIP Ⅲ TFs that were canonical targets of micro RNA66(miR66) accumulated in the AGO8b repressed lines. We propose that AGO8b is a negative regulator of the determinacy of inflorescence and axillary meristems, and that it acts by interacting with the miR66-HD-ZIP Ⅲ TF regulatory pathway.展开更多
In this paper we study normal forms for a class of germs of 1-resonant vector fields on R^n with mutually different eigenvalues which may admit extraneous resonance relations. We give an estimation on the index of fin...In this paper we study normal forms for a class of germs of 1-resonant vector fields on R^n with mutually different eigenvalues which may admit extraneous resonance relations. We give an estimation on the index of finite determinacy from above as well as the essentially simplified polynomial normal forms for such vector fields. In the case that a vector field has a zero eigenvalue, the result leads to an interesting corollary, a linear dependence of the derivatives of the hyperbolic variables on the central variable.展开更多
This paper presents the Advanced Observer Model (AOM), a groundbreaking conceptual framework designed to clarify the complex and often enigmatic nature of quantum mechanics. The AOM serves as a metaphorical lens, brin...This paper presents the Advanced Observer Model (AOM), a groundbreaking conceptual framework designed to clarify the complex and often enigmatic nature of quantum mechanics. The AOM serves as a metaphorical lens, bringing the elusive quantum realm into sharper focus by transforming its inherent uncertainty into a coherent, structured ‘Frame Stream’ that aids in the understanding of quantum phenomena. While the AOM offers conceptual simplicity and clarity, it recognizes the necessity of a rigorous theoretical foundation to address the fundamental uncertainties that lie at the core of quantum mechanics. This paper seeks to illuminate those theoretical ambiguities, bridging the gap between the abstract insights of the AOM and the intricate mathematical foundations of quantum theory. By integrating the conceptual clarity of the AOM with the theoretical intricacies of quantum mechanics, this work aspires to deepen our understanding of this fascinating and elusive field.展开更多
This paper introduces a groundbreaking synthesis of fundamental quantum mechanics with the Advanced Observer Model (AOM), presenting a unified framework that reimagines the construction of reality. AOM highlights the ...This paper introduces a groundbreaking synthesis of fundamental quantum mechanics with the Advanced Observer Model (AOM), presenting a unified framework that reimagines the construction of reality. AOM highlights the pivotal role of the observer in shaping reality, where classical notions of time, space, and energy are reexamined through the quantum lens. By engaging with key quantum equations—such as the Schrödinger equation, Heisenberg uncertainty principle, and Dirac equation—the paper demonstrates how AOM unifies the probabilistic nature of quantum mechanics with the determinism of classical physics. Central to this exploration is the Sequence of Quantum States (SQS) and Constant Frame Rate (CFR), which align with concepts like quantum superposition, entanglement, and wave function collapse. The model’s implications extend to how observers perceive reality, proposing that interference patterns between wave functions form the foundation of observable phenomena. By offering a fresh perspective on the interplay between determinacy and indeterminacy, AOM lays a robust theoretical foundation for future inquiry into quantum physics and the philosophy of consciousness.展开更多
The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 whic...The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 which occurred in the Hualian area of Taiwan within the 20th century, the authors discovered that the occurrences of the earthquakes are commensurable. The earthquakes of magnitude 7.6 which occurred in Hualian of Taiwan, on September 20th, 1999 and of magnitude 7.5 which occurred 70 km away from Hualian, on March 31th, 2002 appeared at the commensurable point of K=2 and the period times the golden section, respectively. An extended discussion is carried out on the method of commensurability and its implied physical significance, especially on the contribution of the commensurable periodic extension made by Prof. Weng Wenbo.展开更多
Based on tropical cyclone (TC) data for the period 1949 to 2008 and following the Gumbe-Imethod, Pearson-Ⅲ method and determinacy method, this article estimates the possible minimum centralpressure of TCs affecting s...Based on tropical cyclone (TC) data for the period 1949 to 2008 and following the Gumbe-Imethod, Pearson-Ⅲ method and determinacy method, this article estimates the possible minimum centralpressure of TCs affecting southern Fujian where a nuclear power will be located. Results show that theobserved minimum central pressure of TCs agrees well with the results determined with the methods aboveand there is little difference between them (the minimum central pressure is 867.4 hPa and 868.1 hPa,respectively, in a 1,000-yr return period). Established with the theory of atmospheric dynamics, thedeterminacy method yields a result of 867.28 hPa/1000 years, only a little smaller than the result of theprobability method. Because of randomicity in parameter adjustment with the Pearson-Ⅲ method whereasthe determinacy method is theoretically solid and its estimates are the smallest of the three methods, it istherefore reasonable, for security and conservative concerns, to adopt the result determined with thedeterminacy method as the possible maximum intensity of TC (with the central pressure being 867.28 hPa ina 1,000-yr return period).展开更多
Chrysanthemum morifolium,an ornamental crop with diverse forms of inflorescence,is a good model for studying flower development in Asteraceae.However,the genetic background is complex and the mechanisms of regulating ...Chrysanthemum morifolium,an ornamental crop with diverse forms of inflorescence,is a good model for studying flower development in Asteraceae.However,the genetic background is complex and the mechanisms of regulating flower development are still unclear.Here,we identified two natural mutant lines of chrysanthemum and named them M1 and M2 according to the severity of the phenotype.Both lines showed defects in petal identity,and the petals of the M1 line had a mild phenotype:partially loss of petal identity and conversion of petals into green,leaf-like organs.The M2 line had severe phenotypes:in addition to severe petal defects,secondary inflorescences were produced in the capitulum to replace the normal ray and disc florets,which indicated a transformation of a flower meristem into an inflorescence meristem.Transcriptome sequencing of WT and M2 inflorescences was performed and found altered expression of floral organ development A,B and E class genes,where B and E class genes were significantly down-regulated.qRT-PCR analysis in both M1 and M2 lines revealed that the expression of three chrysanthemum class B genes CmAP3.1,CmAP3.2 and CmPI,was negatively correlated with phenotypic severity.This suggests that class B genes in chrysanthemum not only have conserved functions in determining petal identity but also were involved in the determinacy of the flower meristem.This study provides insights into the functions of class B genes in flower development,and is informative for dissecting the molecular mechanisms of flower development in chrysanthemum.展开更多
In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We als...In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.展开更多
The game theory was firstly used for description of economic phenomena and social interaction. But there are certain type of perfect information games （PI-games）, the so-called positional game or Banach-Mazur games,...The game theory was firstly used for description of economic phenomena and social interaction. But there are certain type of perfect information games （PI-games）, the so-called positional game or Banach-Mazur games, which so far have not been applied in economy. The perfect information positional game is defined as the game during which at any time the choice is made by one of the players who is acquainted with the previous decision of his opponent. The game is run on a sequential basis. The aim of this paper is to discuss selected Banach-Mazur games and to present some applications of positional game. This paper also shows new theoretical example of a determined PI-game, based by theoretical overview. All considerations are pure theoretical and based by logical deduction.展开更多
Rice(Oryza sativa)spikelets are a unique inflorescence structure and their development directly determines grain size and yield.Although many genes related to spikelet development have been reported,the molecular mech...Rice(Oryza sativa)spikelets are a unique inflorescence structure and their development directly determines grain size and yield.Although many genes related to spikelet development have been reported,the molecular mechanisms underlying this process have not been fully elucidated.In this study,we identified a new recessive rice mutant,lacking rudimentary glume 1(lrg1).The lrg1 spikelets only formed one rudimentary glume,which,along with the sterile lemmas,was homeotically transformed into lemma-like organs and acquired lemma identity.The transition from the spikelet to the floral meristem was delayed in the lrg1 mutant,resulting in the formation of an ectopic lemma-like organ between the sterile lemma and the terminal floret.In addition,we found that the abnormal lrg1 grain phenotype resulted from the alteration of cell numbers and the hull size.LRG1 encodes a ZOS4-06-C2H2 zinc-finger protein with the typical EAR motifs,and is expressed in all organs and tissues.LRG1 localizes to the nucleus and can interact with the TOPLESS-RELATED PROTEINs(TPRs)to repress the expressions of their downstream target genes.Taken together,our results reveal that LRG1 plays an important role in the regulation of spikelet organ identity and grain size.展开更多
In this paper,we study the linear determinacy of the minimal speed of traveling wave-fronts for a three-component competition system with nonlocal dispersal.We first trans-form this system into a cooperative system.Th...In this paper,we study the linear determinacy of the minimal speed of traveling wave-fronts for a three-component competition system with nonlocal dispersal.We first trans-form this system into a cooperative system.Then,by constructing suitable upper solu-tions,we give some general conditions to ensure the linear determinacy of the minimalspeed.Finally,we provide some more precise conditions that only rely on the parametersof the system such that the linear determinacy of the minimal speed is assured.展开更多
Critical Legal Scholarship was first introduced to Chinese legal academia in late 1980＇s, and gained great attentions in the following decade. Later on, however, Chinese jurists showed little interest in exploring mo...Critical Legal Scholarship was first introduced to Chinese legal academia in late 1980＇s, and gained great attentions in the following decade. Later on, however, Chinese jurists showed little interest in exploring more of Critical Legal Scholarship because of their oversimplification of Critical Legal Scholars as indeterminists, deconstructionists, extremists and nihilists. This article points out the typical, gross misconceptions of Chinese jurists to Critical Legal Scholarship, and explores the reasons of such misconceptions. The author of this article hopes that his representation of Critical Legal Scholarship would help to reopen the door for further communications between the Critical Legal Scholarship and their audiences in China. Remarks on how to approach Critical Legal Scholarship further from a Chinese perspective are provided at the end of this article.展开更多
In [1], Solovay first supposed that ZF+DA_R is consistent, and then he proved the independence of DC from AD by using inner models for AD_R. In this note, we further investigate the relation between the generalized ve...In [1], Solovay first supposed that ZF+DA_R is consistent, and then he proved the independence of DC from AD by using inner models for AD_R. In this note, we further investigate the relation between the generalized version of the principle of dependent choices and the axiom of determinateness. We know that AD implies AC and AC is equivalent展开更多
Quine＇s justly famous paper ＂On What There Is＂ introduced a criterion of ontological commitment which has been almost universally accepted by analytic philosophers ever since. In this paper 1 try to unpack some of ...Quine＇s justly famous paper ＂On What There Is＂ introduced a criterion of ontological commitment which has been almost universally accepted by analytic philosophers ever since. In this paper 1 try to unpack some of the substantive and controversial philosophical commitments that are presupposed by this criterion. The aim is not to show that the criterion is incorrect, but merely that it is not as obvious as it is taken to be by many, and that we might have reasons to explore alternative ways of thinking about ontological commitments.展开更多
This paper is devoted to investigating the selection mechanism of the minimal wave speed for traveling waves to an epidemic model.The determinacy of linear and nonlinear selections is further discussed by the upper-lo...This paper is devoted to investigating the selection mechanism of the minimal wave speed for traveling waves to an epidemic model.The determinacy of linear and nonlinear selections is further discussed by the upper-lower solutions and comparison principle.A threshold is defined by the eigenvalue problem of the linearized system.We show that the nonlinear determinacy is obtained as long as there exists a lower solution with a faster decay and a speed parameter that is larger than the threshold.When the speed parameter equals to the threshold,if there exists an upper solution satisfying proper limit behavior,then the linear selection is realized.For a special function of infection rate,we obtain a threshold parameter that determines the linear and nonlinear selections.展开更多
基金Supported by the National Nature Science Foundation of China(10671009,60534080,10871149)
文摘In this article, we provide estimates for the degree of V bilipschitz determinacy of weighted homogeneous function germs defined on weighted homogeneous analytic variety V satisfying a convenient Lojasiewicz condition.The result gives an explicit order such that the geometrical structure of a weighted homogeneous polynomial function germs is preserved after higher order perturbations.
文摘In this paper, the determinacy of regular lexical selectional restrictions is examined from both the internal structures of the single selectional restrictions (i.e.semantic selectional restrictions) and relationship between the structures of several selectional restrictions. Hence, our analysis and description are shifted from casual and indeterminate strings and markers on case basis to determined rules and circumspect dynamic systems, from lexical precepts to knowledge precepts, from the state of memory to rational deduction and rhetorical devices. Further studies indicate that selectional restrictions are intertwined structures, a feature that makes it possible to be one of the bases for lexical selectional restrictions to come into existence. Its related theories are the grarantee for scientific observations of selectional restriction structures.
文摘Gervais has already characterised finitely I--[q,k]-determinacy of C<sup>∞</sup> map-germs. It seems that Cao Yi’s expressions are in better form than Gervais’（cf. Ref. [2]）. This note will deal with the I-<sub>q,k</sub>-determinacy of C<sup>∞</sup> map-germs which develop the basic results in Refs. [1]and [2]. We shall adopt the notations in Ref. [3],if not specialized, and every map-germ is C<sup>∞</sup>.
基金supported by the National Natural Science Foundation of China(No.11271063)the Guizhou Science and Technology Foundation(No.2014GZ54503)
文摘The weak finite determinacy of relative map-germs is studied. The authors first give the concept of weak finite determination, and then give several sufficient conditions for a relative map-germ to be weak finitely determined, which is an important complement to Mather＇s work. Moreover, us an application, it is proven that the relative stable map-germs are weak finitely determined.
基金supported by the National Natural Science Foundation of China (91635303, 31501320) (www.nsfc.gov.cn)National Basic Research Program of China (2014CB138203) (www.most.gov.cn)
文摘The maize tassel represents an indeterminate male inflorescence. The number of primordia that a given inflorescence meristem produces is related to its determinacy, i.e., capacity for continued meristem activity.Transcription factors(TFs) controlling determinacy in tassel axillary meristems are well studied in maize, and small RNAs are known to influence tassel development by repressing targets, including tassel-related TFs. As core components of the RNA-inducible silence complex(RISC),Argonaute(AGO) proteins are required for small RNAmediated repression. Here, we characterized the biological function of AGO8b, a tassel-enriched AGO. The abundance of AGO8b transcripts gradually increased during tassel development from inception to gametogenesis and were enriched in the inflorescence meristem and axillary meristems of the tassel. Repressing AGO8b expression resulted in more spikelets, which contributed to a longer central spike of the tassel. Additionally, the transcripts of several HD-ZIP Ⅲ TFs that were canonical targets of micro RNA66(miR66) accumulated in the AGO8b repressed lines. We propose that AGO8b is a negative regulator of the determinacy of inflorescence and axillary meristems, and that it acts by interacting with the miR66-HD-ZIP Ⅲ TF regulatory pathway.
文摘In this paper we study normal forms for a class of germs of 1-resonant vector fields on R^n with mutually different eigenvalues which may admit extraneous resonance relations. We give an estimation on the index of finite determinacy from above as well as the essentially simplified polynomial normal forms for such vector fields. In the case that a vector field has a zero eigenvalue, the result leads to an interesting corollary, a linear dependence of the derivatives of the hyperbolic variables on the central variable.
文摘This paper presents the Advanced Observer Model (AOM), a groundbreaking conceptual framework designed to clarify the complex and often enigmatic nature of quantum mechanics. The AOM serves as a metaphorical lens, bringing the elusive quantum realm into sharper focus by transforming its inherent uncertainty into a coherent, structured ‘Frame Stream’ that aids in the understanding of quantum phenomena. While the AOM offers conceptual simplicity and clarity, it recognizes the necessity of a rigorous theoretical foundation to address the fundamental uncertainties that lie at the core of quantum mechanics. This paper seeks to illuminate those theoretical ambiguities, bridging the gap between the abstract insights of the AOM and the intricate mathematical foundations of quantum theory. By integrating the conceptual clarity of the AOM with the theoretical intricacies of quantum mechanics, this work aspires to deepen our understanding of this fascinating and elusive field.
文摘This paper introduces a groundbreaking synthesis of fundamental quantum mechanics with the Advanced Observer Model (AOM), presenting a unified framework that reimagines the construction of reality. AOM highlights the pivotal role of the observer in shaping reality, where classical notions of time, space, and energy are reexamined through the quantum lens. By engaging with key quantum equations—such as the Schrödinger equation, Heisenberg uncertainty principle, and Dirac equation—the paper demonstrates how AOM unifies the probabilistic nature of quantum mechanics with the determinism of classical physics. Central to this exploration is the Sequence of Quantum States (SQS) and Constant Frame Rate (CFR), which align with concepts like quantum superposition, entanglement, and wave function collapse. The model’s implications extend to how observers perceive reality, proposing that interference patterns between wave functions form the foundation of observable phenomena. By offering a fresh perspective on the interplay between determinacy and indeterminacy, AOM lays a robust theoretical foundation for future inquiry into quantum physics and the philosophy of consciousness.
基金This work was supported by the Nation’s Natural Science Found of China (No.10373017) and the Chinese Astronomical Committee Foundation.
文摘The method of commensurability was used by the authors to predict the great earthquake of magnitude 7.5 that occurred on March 31,2002 in Taiwan 70km away from Hualian. Analyzing the earthquakes of magnitude≥7.0 which occurred in the Hualian area of Taiwan within the 20th century, the authors discovered that the occurrences of the earthquakes are commensurable. The earthquakes of magnitude 7.6 which occurred in Hualian of Taiwan, on September 20th, 1999 and of magnitude 7.5 which occurred 70 km away from Hualian, on March 31th, 2002 appeared at the commensurable point of K=2 and the period times the golden section, respectively. An extended discussion is carried out on the method of commensurability and its implied physical significance, especially on the contribution of the commensurable periodic extension made by Prof. Weng Wenbo.
基金Natural Science Foundation of Fujian Province(2007J0122)Natural Science Foundation of China(90915002)
文摘Based on tropical cyclone (TC) data for the period 1949 to 2008 and following the Gumbe-Imethod, Pearson-Ⅲ method and determinacy method, this article estimates the possible minimum centralpressure of TCs affecting southern Fujian where a nuclear power will be located. Results show that theobserved minimum central pressure of TCs agrees well with the results determined with the methods aboveand there is little difference between them (the minimum central pressure is 867.4 hPa and 868.1 hPa,respectively, in a 1,000-yr return period). Established with the theory of atmospheric dynamics, thedeterminacy method yields a result of 867.28 hPa/1000 years, only a little smaller than the result of theprobability method. Because of randomicity in parameter adjustment with the Pearson-Ⅲ method whereasthe determinacy method is theoretically solid and its estimates are the smallest of the three methods, it istherefore reasonable, for security and conservative concerns, to adopt the result determined with thedeterminacy method as the possible maximum intensity of TC (with the central pressure being 867.28 hPa ina 1,000-yr return period).
基金financially supported by the National Natural Science Foundation of China(32171855)China Agriculture Research System(CARS-23-A18),Seed Industry Project of Jiangsu Province(JBGS[2021]020)+2 种基金the China Postdoctoral Science Foundation(2019M661870)the National Key Research and Development Program of China(2020YFD1000400)a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
文摘Chrysanthemum morifolium,an ornamental crop with diverse forms of inflorescence,is a good model for studying flower development in Asteraceae.However,the genetic background is complex and the mechanisms of regulating flower development are still unclear.Here,we identified two natural mutant lines of chrysanthemum and named them M1 and M2 according to the severity of the phenotype.Both lines showed defects in petal identity,and the petals of the M1 line had a mild phenotype:partially loss of petal identity and conversion of petals into green,leaf-like organs.The M2 line had severe phenotypes:in addition to severe petal defects,secondary inflorescences were produced in the capitulum to replace the normal ray and disc florets,which indicated a transformation of a flower meristem into an inflorescence meristem.Transcriptome sequencing of WT and M2 inflorescences was performed and found altered expression of floral organ development A,B and E class genes,where B and E class genes were significantly down-regulated.qRT-PCR analysis in both M1 and M2 lines revealed that the expression of three chrysanthemum class B genes CmAP3.1,CmAP3.2 and CmPI,was negatively correlated with phenotypic severity.This suggests that class B genes in chrysanthemum not only have conserved functions in determining petal identity but also were involved in the determinacy of the flower meristem.This study provides insights into the functions of class B genes in flower development,and is informative for dissecting the molecular mechanisms of flower development in chrysanthemum.
文摘In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.
文摘The game theory was firstly used for description of economic phenomena and social interaction. But there are certain type of perfect information games （PI-games）, the so-called positional game or Banach-Mazur games, which so far have not been applied in economy. The perfect information positional game is defined as the game during which at any time the choice is made by one of the players who is acquainted with the previous decision of his opponent. The game is run on a sequential basis. The aim of this paper is to discuss selected Banach-Mazur games and to present some applications of positional game. This paper also shows new theoretical example of a determined PI-game, based by theoretical overview. All considerations are pure theoretical and based by logical deduction.
基金supported by the Zhejiang Natural Science Foundation(LY18C130007)the National Natural Science Foundation of China(91735304)+1 种基金the Central Public-interest Scientific Institution Basal Research Fund of China National Rice Research Institute(2017RG001-4)the National Science and Technology Major Project(2016ZX08009003-003-008)。
文摘Rice(Oryza sativa)spikelets are a unique inflorescence structure and their development directly determines grain size and yield.Although many genes related to spikelet development have been reported,the molecular mechanisms underlying this process have not been fully elucidated.In this study,we identified a new recessive rice mutant,lacking rudimentary glume 1(lrg1).The lrg1 spikelets only formed one rudimentary glume,which,along with the sterile lemmas,was homeotically transformed into lemma-like organs and acquired lemma identity.The transition from the spikelet to the floral meristem was delayed in the lrg1 mutant,resulting in the formation of an ectopic lemma-like organ between the sterile lemma and the terminal floret.In addition,we found that the abnormal lrg1 grain phenotype resulted from the alteration of cell numbers and the hull size.LRG1 encodes a ZOS4-06-C2H2 zinc-finger protein with the typical EAR motifs,and is expressed in all organs and tissues.LRG1 localizes to the nucleus and can interact with the TOPLESS-RELATED PROTEINs(TPRs)to repress the expressions of their downstream target genes.Taken together,our results reveal that LRG1 plays an important role in the regulation of spikelet organ identity and grain size.
基金The second author is supported by NSF of China(11861056).
文摘In this paper,we study the linear determinacy of the minimal speed of traveling wave-fronts for a three-component competition system with nonlocal dispersal.We first trans-form this system into a cooperative system.Then,by constructing suitable upper solu-tions,we give some general conditions to ensure the linear determinacy of the minimalspeed.Finally,we provide some more precise conditions that only rely on the parametersof the system such that the linear determinacy of the minimal speed is assured.
文摘Critical Legal Scholarship was first introduced to Chinese legal academia in late 1980＇s, and gained great attentions in the following decade. Later on, however, Chinese jurists showed little interest in exploring more of Critical Legal Scholarship because of their oversimplification of Critical Legal Scholars as indeterminists, deconstructionists, extremists and nihilists. This article points out the typical, gross misconceptions of Chinese jurists to Critical Legal Scholarship, and explores the reasons of such misconceptions. The author of this article hopes that his representation of Critical Legal Scholarship would help to reopen the door for further communications between the Critical Legal Scholarship and their audiences in China. Remarks on how to approach Critical Legal Scholarship further from a Chinese perspective are provided at the end of this article.
文摘In [1], Solovay first supposed that ZF+DA_R is consistent, and then he proved the independence of DC from AD by using inner models for AD_R. In this note, we further investigate the relation between the generalized version of the principle of dependent choices and the axiom of determinateness. We know that AD implies AC and AC is equivalent
文摘Quine＇s justly famous paper ＂On What There Is＂ introduced a criterion of ontological commitment which has been almost universally accepted by analytic philosophers ever since. In this paper 1 try to unpack some of the substantive and controversial philosophical commitments that are presupposed by this criterion. The aim is not to show that the criterion is incorrect, but merely that it is not as obvious as it is taken to be by many, and that we might have reasons to explore alternative ways of thinking about ontological commitments.
基金supported by NSF of China (No.11971213)Natural Science Foundation of Gansu Province of China (No.21JR7RA535).
文摘This paper is devoted to investigating the selection mechanism of the minimal wave speed for traveling waves to an epidemic model.The determinacy of linear and nonlinear selections is further discussed by the upper-lower solutions and comparison principle.A threshold is defined by the eigenvalue problem of the linearized system.We show that the nonlinear determinacy is obtained as long as there exists a lower solution with a faster decay and a speed parameter that is larger than the threshold.When the speed parameter equals to the threshold,if there exists an upper solution satisfying proper limit behavior,then the linear selection is realized.For a special function of infection rate,we obtain a threshold parameter that determines the linear and nonlinear selections.
