Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers ...Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers F = Π-1(X), where Π is a projection of an event on the base space. Relations between initial data and ?nal data are de?ned by group G and a Fiber bundle is de?ned as as set (E, Π, F, G, X).Tangent bundle TX of real linear space X is de?ned by the projection πTX = TX → X; (x,a) → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn+1 and TSn is identi?ed as {(x,a) ∈Rn+1 ×Sn : x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ?bers at each point of X and on top of the two ?bers de?ne the initial input event and the ?nal detection event. When one considers dynamics of leptons de?ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de?ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3' × R4 and the direction of propagation of time on S3 and S'3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) in memoducers.展开更多
The Left Hand of Darkness (abbr. LHD) is composed by Ursula Le Guin as a "thought experiment" to explore the postgender world on the planet of Gethen. By eradication of sexual difference and embracing the biologic...The Left Hand of Darkness (abbr. LHD) is composed by Ursula Le Guin as a "thought experiment" to explore the postgender world on the planet of Gethen. By eradication of sexual difference and embracing the biological fluidity and psychological androgeny, dualism is deconstructed, and a postgender intersubjective space is reconstructed between Genly Ai and Estraven, interluded by cyborg myth and postgenderism culture narratives. Moreover, Le Guin suggests a possible transformation mode ofyin-yang cycle from psychoanalytic light and shadow.展开更多
An optimal layout or three-dimensional spatial distribution of stopes guarantees the maximum profitability over life span of an underground mining operation.Thus,stope optimization is one of the key areas in undergrou...An optimal layout or three-dimensional spatial distribution of stopes guarantees the maximum profitability over life span of an underground mining operation.Thus,stope optimization is one of the key areas in underground mine planning practice.However,the computational complexity in developing an optimal stope layout has been a reason for limited availability of the algorithms offering solution to this problem.This article shares a new and efficient heuristic algorithm that considers a three-dimensional ore body model as an input,maximizes the economic value,and satisfies the physical mining and geotechnical constraints for generating an optimal stope layout.An implementation at a copper deposit demonstrates the applicability and robustness of the algorithm.A parallel processing based modification improving the performance of the original algorithm in terms of enormous computational time saving is also presented.展开更多
Calcareous sand is a kind of special medium which is composed of calcium carbonate and other difficult soluble carbonate substances. Because of its rich in inner pore space and easy crashed,the mechanical property is ...Calcareous sand is a kind of special medium which is composed of calcium carbonate and other difficult soluble carbonate substances. Because of its rich in inner pore space and easy crashed,the mechanical property is very different from conventional quartz sand. Based on the compaction test and direct shear test of calcareous sand,by means of data fitting,the coupling relationship between compaction density and mechanical property under different water contents was obtained; meanwhile,the shear strength expression was built on the basis of the relationship between water content and dry density.展开更多
In accordance to Langerian aesthetic theory, Mark Campbell (1992) concludes that Cage's 4 33" (1952) is by no means aesthetic music. I argue the antithesis: Cage's 433" satisfies Langerian aesthetic theory, a...In accordance to Langerian aesthetic theory, Mark Campbell (1992) concludes that Cage's 4 33" (1952) is by no means aesthetic music. I argue the antithesis: Cage's 433" satisfies Langerian aesthetic theory, and is indeed "aesthetic" music. Cage does something more: he satisfies Langerian aesthetic theory, yet he is not limited by it. He does not simply create music, nor does he offer listeners a musical space. He creates what Gilles Deleuze and Fe1ix Guattari (1987) call a line of becoming that passes between music making and a musical space. In 4 minutes and 33 seconds of silence, Cage presents a sense of emptiness and numbness felt simultaneously with fullness and explosion. In what appears to be stillness, the listener experiences the flux of movement; what appears to be devoid of depth, is filled with complexities. 433" embraces chance, uncertainty, and the unknown; it is an experimental process; it is becoming-music in 4 minutes and 33 seconds.展开更多
To determine the studying region of China Testing Center of the Collaboratory for the Study of Earthquake Predictability (CSEP), we adopted the Entire-Magnitude-Range (EMR) method to study the spatial distribution...To determine the studying region of China Testing Center of the Collaboratory for the Study of Earthquake Predictability (CSEP), we adopted the Entire-Magnitude-Range (EMR) method to study the spatial distribution of minimum magnitude of completeness (Mc) in the North-South Trending Seismic Belt (NSTSB) during the period from October 1, 2008 to May 31, 2011. Also bootstrap testing was performed to estimate the uncertainty of Mc, i. e. 8Mc. The results show that Mc (EMR) = 1.6 ± 0. 03 for the whole region. From the spatial distributions of Mc we find that Mc is in the range of Mu 1.3 ±2.0 for most regions. Specifically, the spatial distribution of Mc is consistent with the distribution of stations indicating high monitoring level in the southern part and low monitoring level in the northern part. Events located with less than three stations have great influence on Me. Moreover, the uncertainty of minimum magnitude of completeness 6Mc ranges from 0. 07 to 0.22. The spatial distribution of 6Mc agrees with the seismic rate. The shorter time span may cause larger 6Mc展开更多
In this paper, a rigidity theorem of hypersurface in real space form will be given. In addition, we obtain rigidity theorems of submanifold in sphere which improve the result of Hou and Xu.
Spiral waves have been observed in the biological experiments on rat cortex perfused with drugs which can block inhibitory synapse and switch neuron excitability from type II to type I. To simulate the spiral waves ob...Spiral waves have been observed in the biological experiments on rat cortex perfused with drugs which can block inhibitory synapse and switch neuron excitability from type II to type I. To simulate the spiral waves observed in the experiment, the spatiotemporal patterns are investigated in a network composed of neurons with type I and II excitabilities and excitatory coupling. Spiral waves emerge when the percentage(p) of neurons with type I excitability in the network is at middle levels, which is dependent on the coupling strength. Compared with other spatial patterns which appear at different p values, spiral waves exhibit optimal spatial correlation at a certain spatial frequency, implying the occurrence of spatial coherence resonance-like phenomenon. Some dynamical characteristics of the network such as mean firing frequency and synchronous degree can be well interpreted with distinct properties between type I excitability and type II excitability. The results not only identify dynamics of spiral waves in neuronal networks composed of neurons with different excitabilities, but also are helpful to understanding the emergence of spiral waves observed in the biological experiment.展开更多
Higher-order topological phases give rise to new bulk and boundary physics,as well as new classes of topological phase transitions.While the realization of higher-order topological phases has been confirmed in many pl...Higher-order topological phases give rise to new bulk and boundary physics,as well as new classes of topological phase transitions.While the realization of higher-order topological phases has been confirmed in many platforms by detecting the existence of gapless boundary modes,a direct determination of the higher-order topology and related topological phase transitions through the bulk in experiments has still been lacking.To bridge the gap,in this work we carry out the simulation of a twodimensional second-order topological phase in a superconducting qubit.Owing to the great flexibility and controllability of the quantum simulator,we observe the realization of higher-order topology directly through the measurement of the pseudo-spin texture in momentum space of the bulk for the first time,in sharp contrast to previous experiments based on the detection of gapless boundary modes in real space.Also through the measurement of the evolution of pseudo-spin texture with parameters,we further observe novel topological phase transitions from the second-order topological phase to the trivial phase,as well as to the first-order topological phase with nonzero Chern number.Our work sheds new light on the study of higher-order topological phases and topological phase transitions.展开更多
Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz ...Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz Hardy space H~φ_A(R^n× R^m) via the anisotropic Lusin-area function and establish its atomic characterization, the g-function characterization, the g_λ~*-function characterization and the discrete wavelet characterization via first giving out an anisotropic product Peetre inequality of Musielak-Orlicz type. Moreover, we prove that finite atomic decomposition norm on a dense subspace of H~φ_A(R^n× R^m) is equivalent to the standard infinite atomic decomposition norm. As an application, we show that, for a given admissible triplet(φ, q, s), if T is a sublinear operator and maps all(φ, q, s)-atoms into uniformly bounded elements of some quasi-Banach spaces B, then T uniquely extends to a bounded sublinear operator from H~φ_A(R^n× R^m) to B. Another application is that we obtain the boundedness of anisotropic product singular integral operators from H~φ_A(R^n× R^m) to L~φ(R^n× R^m)and from H~φ_A(R^n×R^m) to itself, whose kernels are adapted to the action of A. The results of this article essentially extend the existing results for weighted product Hardy spaces on R^n× R^m and are new even for classical product Orlicz-Hardy spaces.展开更多
In this work, we apply the nonlinear filtering theory to the estimation of the partially observed dynamics of anthracnose which is a phytopathology. The signal here is the inhi- bition rate and the observations are th...In this work, we apply the nonlinear filtering theory to the estimation of the partially observed dynamics of anthracnose which is a phytopathology. The signal here is the inhi- bition rate and the observations are the fruit volume and the rotted volume. We propose stochastic models based on deterministic models studied previously in the literature, in order to represent the noise introduced by uncontrolled variations on parameters and errors on the measurements. Under the assumption of Brownian noises, we prove the well-posedness of the models in either they take into account the space variable or not. The filtering problem is solved for the nonspatial model giving Zakai and Kushner- Stratonovich equations satisfied respectively by the unnormalized and the normalized conditional distribution of the signal with respect to the observations. A prevision prob- lem and a discrete filtering problem are also studied for the realistic cases of discrete and possibly incomplete observations. We illustrate the filter behavior through figures displaying the average estimation relative error and a 95% confidence region obtained after a hundred of numerical simulations with initial conditions taken randomly with respect to uniform law.展开更多
文摘Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers F = Π-1(X), where Π is a projection of an event on the base space. Relations between initial data and ?nal data are de?ned by group G and a Fiber bundle is de?ned as as set (E, Π, F, G, X).Tangent bundle TX of real linear space X is de?ned by the projection πTX = TX → X; (x,a) → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn+1 and TSn is identi?ed as {(x,a) ∈Rn+1 ×Sn : x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ?bers at each point of X and on top of the two ?bers de?ne the initial input event and the ?nal detection event. When one considers dynamics of leptons de?ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de?ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3' × R4 and the direction of propagation of time on S3 and S'3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) in memoducers.
文摘The Left Hand of Darkness (abbr. LHD) is composed by Ursula Le Guin as a "thought experiment" to explore the postgender world on the planet of Gethen. By eradication of sexual difference and embracing the biological fluidity and psychological androgeny, dualism is deconstructed, and a postgender intersubjective space is reconstructed between Genly Ai and Estraven, interluded by cyborg myth and postgenderism culture narratives. Moreover, Le Guin suggests a possible transformation mode ofyin-yang cycle from psychoanalytic light and shadow.
文摘An optimal layout or three-dimensional spatial distribution of stopes guarantees the maximum profitability over life span of an underground mining operation.Thus,stope optimization is one of the key areas in underground mine planning practice.However,the computational complexity in developing an optimal stope layout has been a reason for limited availability of the algorithms offering solution to this problem.This article shares a new and efficient heuristic algorithm that considers a three-dimensional ore body model as an input,maximizes the economic value,and satisfies the physical mining and geotechnical constraints for generating an optimal stope layout.An implementation at a copper deposit demonstrates the applicability and robustness of the algorithm.A parallel processing based modification improving the performance of the original algorithm in terms of enormous computational time saving is also presented.
文摘Calcareous sand is a kind of special medium which is composed of calcium carbonate and other difficult soluble carbonate substances. Because of its rich in inner pore space and easy crashed,the mechanical property is very different from conventional quartz sand. Based on the compaction test and direct shear test of calcareous sand,by means of data fitting,the coupling relationship between compaction density and mechanical property under different water contents was obtained; meanwhile,the shear strength expression was built on the basis of the relationship between water content and dry density.
文摘In accordance to Langerian aesthetic theory, Mark Campbell (1992) concludes that Cage's 4 33" (1952) is by no means aesthetic music. I argue the antithesis: Cage's 433" satisfies Langerian aesthetic theory, and is indeed "aesthetic" music. Cage does something more: he satisfies Langerian aesthetic theory, yet he is not limited by it. He does not simply create music, nor does he offer listeners a musical space. He creates what Gilles Deleuze and Fe1ix Guattari (1987) call a line of becoming that passes between music making and a musical space. In 4 minutes and 33 seconds of silence, Cage presents a sense of emptiness and numbness felt simultaneously with fullness and explosion. In what appears to be stillness, the listener experiences the flux of movement; what appears to be devoid of depth, is filled with complexities. 433" embraces chance, uncertainty, and the unknown; it is an experimental process; it is becoming-music in 4 minutes and 33 seconds.
基金jointly sponsored by the Youth Fund Progamm of the National Natural Science Foundation of China ( 40804010 )the Central-level Basic Science Programm of Institute of Geophysics,CEA (DQJB10B23)
文摘To determine the studying region of China Testing Center of the Collaboratory for the Study of Earthquake Predictability (CSEP), we adopted the Entire-Magnitude-Range (EMR) method to study the spatial distribution of minimum magnitude of completeness (Mc) in the North-South Trending Seismic Belt (NSTSB) during the period from October 1, 2008 to May 31, 2011. Also bootstrap testing was performed to estimate the uncertainty of Mc, i. e. 8Mc. The results show that Mc (EMR) = 1.6 ± 0. 03 for the whole region. From the spatial distributions of Mc we find that Mc is in the range of Mu 1.3 ±2.0 for most regions. Specifically, the spatial distribution of Mc is consistent with the distribution of stations indicating high monitoring level in the southern part and low monitoring level in the northern part. Events located with less than three stations have great influence on Me. Moreover, the uncertainty of minimum magnitude of completeness 6Mc ranges from 0. 07 to 0.22. The spatial distribution of 6Mc agrees with the seismic rate. The shorter time span may cause larger 6Mc
文摘In this paper, a rigidity theorem of hypersurface in real space form will be given. In addition, we obtain rigidity theorems of submanifold in sphere which improve the result of Hou and Xu.
基金supported by the National Natural Science Foundation of China(Grant Nos.11372224&11572225)
文摘Spiral waves have been observed in the biological experiments on rat cortex perfused with drugs which can block inhibitory synapse and switch neuron excitability from type II to type I. To simulate the spiral waves observed in the experiment, the spatiotemporal patterns are investigated in a network composed of neurons with type I and II excitabilities and excitatory coupling. Spiral waves emerge when the percentage(p) of neurons with type I excitability in the network is at middle levels, which is dependent on the coupling strength. Compared with other spatial patterns which appear at different p values, spiral waves exhibit optimal spatial correlation at a certain spatial frequency, implying the occurrence of spatial coherence resonance-like phenomenon. Some dynamical characteristics of the network such as mean firing frequency and synchronous degree can be well interpreted with distinct properties between type I excitability and type II excitability. The results not only identify dynamics of spiral waves in neuronal networks composed of neurons with different excitabilities, but also are helpful to understanding the emergence of spiral waves observed in the biological experiment.
基金supported by the Key-Area Research and Development Program of Guangdong Province(2018B030326001)the National Natural Science Foundation of China(U1801661 and 11904417)+4 种基金the Guangdong Innovative and Entrepreneurial Research Team Program(2016ZT06D348)the Guangdong Provincial Key Laboratory(2019B121203002)the Natural Science Foundation of Guangdong Province(2017B030308003)the Science,Technology and Innovation Commission of Shenzhen Municipality(JCYJ20170412152620376,and KYTDPT20181011104202253)the NSF of Beijing(Z190012)。
文摘Higher-order topological phases give rise to new bulk and boundary physics,as well as new classes of topological phase transitions.While the realization of higher-order topological phases has been confirmed in many platforms by detecting the existence of gapless boundary modes,a direct determination of the higher-order topology and related topological phase transitions through the bulk in experiments has still been lacking.To bridge the gap,in this work we carry out the simulation of a twodimensional second-order topological phase in a superconducting qubit.Owing to the great flexibility and controllability of the quantum simulator,we observe the realization of higher-order topology directly through the measurement of the pseudo-spin texture in momentum space of the bulk for the first time,in sharp contrast to previous experiments based on the detection of gapless boundary modes in real space.Also through the measurement of the evolution of pseudo-spin texture with parameters,we further observe novel topological phase transitions from the second-order topological phase to the trivial phase,as well as to the first-order topological phase with nonzero Chern number.Our work sheds new light on the study of higher-order topological phases and topological phase transitions.
基金supported by National Natural Science Foundation of China (Grant Nos. 11671414, 11271091, 11471040, 11461065, 11661075, 11571039 and 11671185)
文摘Let A :=(A_1, A_2) be a pair of expansive dilations and φ : R^n×R^m×[0, ∞) → [0, ∞) an anisotropic product Musielak-Orlicz function. In this article, we introduce the anisotropic product Musielak-Orlicz Hardy space H~φ_A(R^n× R^m) via the anisotropic Lusin-area function and establish its atomic characterization, the g-function characterization, the g_λ~*-function characterization and the discrete wavelet characterization via first giving out an anisotropic product Peetre inequality of Musielak-Orlicz type. Moreover, we prove that finite atomic decomposition norm on a dense subspace of H~φ_A(R^n× R^m) is equivalent to the standard infinite atomic decomposition norm. As an application, we show that, for a given admissible triplet(φ, q, s), if T is a sublinear operator and maps all(φ, q, s)-atoms into uniformly bounded elements of some quasi-Banach spaces B, then T uniquely extends to a bounded sublinear operator from H~φ_A(R^n× R^m) to B. Another application is that we obtain the boundedness of anisotropic product singular integral operators from H~φ_A(R^n× R^m) to L~φ(R^n× R^m)and from H~φ_A(R^n×R^m) to itself, whose kernels are adapted to the action of A. The results of this article essentially extend the existing results for weighted product Hardy spaces on R^n× R^m and are new even for classical product Orlicz-Hardy spaces.
文摘In this work, we apply the nonlinear filtering theory to the estimation of the partially observed dynamics of anthracnose which is a phytopathology. The signal here is the inhi- bition rate and the observations are the fruit volume and the rotted volume. We propose stochastic models based on deterministic models studied previously in the literature, in order to represent the noise introduced by uncontrolled variations on parameters and errors on the measurements. Under the assumption of Brownian noises, we prove the well-posedness of the models in either they take into account the space variable or not. The filtering problem is solved for the nonspatial model giving Zakai and Kushner- Stratonovich equations satisfied respectively by the unnormalized and the normalized conditional distribution of the signal with respect to the observations. A prevision prob- lem and a discrete filtering problem are also studied for the realistic cases of discrete and possibly incomplete observations. We illustrate the filter behavior through figures displaying the average estimation relative error and a 95% confidence region obtained after a hundred of numerical simulations with initial conditions taken randomly with respect to uniform law.