In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup&...In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup>1</sup>D<sup>e</sup>, (<em>nd</em><sup>2</sup>) <sup>1</sup>G<sup>e</sup>, (<em>nf</em><sup>2</sup>) <sup>1</sup>I<sup>e</sup>, (<em>ng</em><sup>2</sup>) <sup>1</sup>K<sup>e</sup>, and (<em>nh</em><sup>2</sup>) <sup>1</sup>M<sup>e</sup> of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></span></sup> doubly excited states, where accurate total energies are tabulated up to <em>n</em> = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></sup> states of two-electron systems.展开更多
To meet the cosmological constant problem, we studied the Zeldovich’s proposed solution and evaluated here why he estimated the theoretical value of this constant larger by over 120 orders of magnitude in Planck mass...To meet the cosmological constant problem, we studied the Zeldovich’s proposed solution and evaluated here why he estimated the theoretical value of this constant larger by over 120 orders of magnitude in Planck mass;by theoretically deriving his empirically proposed equation thoroughly. We reported that the mathematical expression of Planck unit is numerically imbalanced thus its numerically incorrect expression, therefore, in this unit he predicted its extreme value and cosmological constant problem persisted there. A modification in this unit has been suggested, subsequently it modified the Zeldovich’s proposed expression and this modified expression estimated the precise value of this cosmological constant later. These findings imply that if the mathematical expression of Planck unit was correct he would have estimated the precise value of this constant alone.展开更多
Unifying quantum and classical physics has proved difficult as their postulates are conflicting. Using the notion of counts of the fundamental measures—length, mass, and time—a unifying description is resolved. A th...Unifying quantum and classical physics has proved difficult as their postulates are conflicting. Using the notion of counts of the fundamental measures—length, mass, and time—a unifying description is resolved. A theoretical framework is presented in a set of postulates by which a conversion between expressions from quantum and classical physics can be made. Conversions of well-known expressions from different areas of physics (quantum physics, gravitation, optics and cosmology) exemplify the approach and mathematical procedures. The postulated integer counts of fundamental measures change our understanding of length, suggesting that our current understanding of reality is distorted.展开更多
Accelerated life testing(ALT)has been widely used to obtain information about the product's life characteristics at normal conditions in a relatively short period of time.Two key issues with ALT are test design an...Accelerated life testing(ALT)has been widely used to obtain information about the product's life characteristics at normal conditions in a relatively short period of time.Two key issues with ALT are test design and data analysis.The test design of constant stress ALT was studied in this paper.The test design usually combines engineering experiences with optimization models.Such approaches are hard to be implemented by practitioners.A"pure"empirical approach was presented to address this issue.With the proposed approach,some of the decision variables are determined based on the results from the literature,some of the other variables are determined based on engineering analysis and /or judgment,and the remaining variables are determined based on the empirical relations developed in this paper.A real-world example is included to illustrate the appropriateness of the proposed approach.展开更多
The practical value of high-precision models of the studied physical phenomena and technological processes is a decisive factor in science and technology. Currently, numerous methods and criteria for optimizing models...The practical value of high-precision models of the studied physical phenomena and technological processes is a decisive factor in science and technology. Currently, numerous methods and criteria for optimizing models have been proposed. However, the classification of measurement uncertainties due to the number of variables taken into account and their qualitative choice is still not given sufficient attention. The goal is to develop a new criterion suitable for any groups of experimental data obtained as a result of applying various measurement methods. Using the “information-theoretic method”, we propose two procedures for analyzing experimental results using a quantitative indicator to calculate the relative uncertainty of the measurement model, which, in turn, determines the legitimacy of the declared value of a physical constant. The presented procedure is used to analyze the results of measurements of the Boltzmann constant, Planck constant, Hubble constant and gravitational constant.展开更多
In 1899, Max Planck integrated the Planck constant h with the gravitational constant G and the speed of light c, discovered a set of physical constants, and created Planck Units System. Since 20th century, the develop...In 1899, Max Planck integrated the Planck constant h with the gravitational constant G and the speed of light c, discovered a set of physical constants, and created Planck Units System. Since 20th century, the development of physics made the gravitational constant, the speed of light, and the Planck constant the most important fundamental constants of physics representing classical theory, relativity, and quantum theory, respectively. Now, the Planck Units have been given new physical meanings, revealing the mysteries of many physical boundaries. However, more than 100 years have passed, Planck Units System not only failed to get rid of the incompatibility between the basic theories of physics, but also cannot surpass the limitations of existing physics theories. In Cosmic Continuum Theory, physical dimensions can be transformed under the principle of equivalence. Planck units system not only integrates into the axiom system of Cosmic Continuum Theory, but also establishes a benchmark for the unity of physical dimensions. The introduction of the abstract physical dimensions “JX” and “XJ” makes the physical dimension of existence quantity and dimension quantity unified respectively.展开更多
When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitative-quantitative set of variables) and its accuracy. For hundreds of yea...When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitative-quantitative set of variables) and its accuracy. For hundreds of years, the visual simplicity of a law testified to the genius and depth of the physical thinking of the scientist who proposed it. Currently, the desire for a deeper physical understanding of the surrounding world and newly discovered physical phenomena motivates researchers to increase the number of variables considered in a model. This direction leads to an increased probability of choosing an inaccurate or even erroneous model. This study describes a method for estimating the limit of measurement accuracy, taking into account the stage of model building in terms of storage, transmission, processing and use of information by the observer. This limit, due to the finite amount of information stored in the model, allows you to select the optimal number of variables for the best reproduction of the observed object and calculate the exact values of the threshold discrepancy between the model and the phenomenon under study in measurement theory. We consider two examples: measurement of the speed of sound and measurement of physical constants.展开更多
由于定风量空调机组(Constant Air Volume Air Handling Unit, CAVAHU)输出的新风量往往是固定的,当空调房间内的额定人员数量超员或不足时,会导致空调房间CO_(2)浓度测量值Cn高于室内CO_(2)浓度设定值Cn=Cn,set或新风负荷增大的状况。...由于定风量空调机组(Constant Air Volume Air Handling Unit, CAVAHU)输出的新风量往往是固定的,当空调房间内的额定人员数量超员或不足时,会导致空调房间CO_(2)浓度测量值Cn高于室内CO_(2)浓度设定值Cn=Cn,set或新风负荷增大的状况。对此提出了一种空调房间CO_(2)浓度二自由度内模分数阶PI控制策略和设计改进多目标人工蜂群算法(Improved Multi-Objective Artificial Bee Colony Algorithm, IMOABCA)对控制器参数实施整定的思路。首先,基于人工蜂群算法,分别对雇佣蜂和观察蜂引入自适应惯性权重和精英组策略,进行非线性递减和柯西变异的演变,并结合观察蜂搜索特性,将最小粒子角度引入外部档案集,获取相应的Pareto解集,设计IMOABCA,进而对控制器的3个参数进行整定,获得相应的最优值。最后,借助MATLAB工具,对该室内CO_(2)浓度的二自由度内模分数阶PI控制系统进行组态和仿真。结果表明:该室内CO_(2)浓度二自由度内模分数阶PI控制系统和IMOABCA是可行的,能够实现Cn=Cn,set的调节目的和获取控制器的3个参数最优值,提升室内CO_(2)浓度的调节品质。展开更多
文摘In this work, the total energies of doubly excited states (<em>ns</em><sup>2</sup>) <sup>1</sup>S<sup>e</sup>, (<em>np</em><sup>2</sup>) <sup>1</sup>D<sup>e</sup>, (<em>nd</em><sup>2</sup>) <sup>1</sup>G<sup>e</sup>, (<em>nf</em><sup>2</sup>) <sup>1</sup>I<sup>e</sup>, (<em>ng</em><sup>2</sup>) <sup>1</sup>K<sup>e</sup>, and (<em>nh</em><sup>2</sup>) <sup>1</sup>M<sup>e</sup> of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></span></sup> doubly excited states, where accurate total energies are tabulated up to <em>n</em> = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (<em>nl</em><sup>2</sup>) <sup>1</sup><em>L</em><sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><em>π</em></span></span></sup> states of two-electron systems.
文摘To meet the cosmological constant problem, we studied the Zeldovich’s proposed solution and evaluated here why he estimated the theoretical value of this constant larger by over 120 orders of magnitude in Planck mass;by theoretically deriving his empirically proposed equation thoroughly. We reported that the mathematical expression of Planck unit is numerically imbalanced thus its numerically incorrect expression, therefore, in this unit he predicted its extreme value and cosmological constant problem persisted there. A modification in this unit has been suggested, subsequently it modified the Zeldovich’s proposed expression and this modified expression estimated the precise value of this cosmological constant later. These findings imply that if the mathematical expression of Planck unit was correct he would have estimated the precise value of this constant alone.
文摘Unifying quantum and classical physics has proved difficult as their postulates are conflicting. Using the notion of counts of the fundamental measures—length, mass, and time—a unifying description is resolved. A theoretical framework is presented in a set of postulates by which a conversion between expressions from quantum and classical physics can be made. Conversions of well-known expressions from different areas of physics (quantum physics, gravitation, optics and cosmology) exemplify the approach and mathematical procedures. The postulated integer counts of fundamental measures change our understanding of length, suggesting that our current understanding of reality is distorted.
基金National Natural Science Foundation of China(No.71371035)
文摘Accelerated life testing(ALT)has been widely used to obtain information about the product's life characteristics at normal conditions in a relatively short period of time.Two key issues with ALT are test design and data analysis.The test design of constant stress ALT was studied in this paper.The test design usually combines engineering experiences with optimization models.Such approaches are hard to be implemented by practitioners.A"pure"empirical approach was presented to address this issue.With the proposed approach,some of the decision variables are determined based on the results from the literature,some of the other variables are determined based on engineering analysis and /or judgment,and the remaining variables are determined based on the empirical relations developed in this paper.A real-world example is included to illustrate the appropriateness of the proposed approach.
文摘The practical value of high-precision models of the studied physical phenomena and technological processes is a decisive factor in science and technology. Currently, numerous methods and criteria for optimizing models have been proposed. However, the classification of measurement uncertainties due to the number of variables taken into account and their qualitative choice is still not given sufficient attention. The goal is to develop a new criterion suitable for any groups of experimental data obtained as a result of applying various measurement methods. Using the “information-theoretic method”, we propose two procedures for analyzing experimental results using a quantitative indicator to calculate the relative uncertainty of the measurement model, which, in turn, determines the legitimacy of the declared value of a physical constant. The presented procedure is used to analyze the results of measurements of the Boltzmann constant, Planck constant, Hubble constant and gravitational constant.
文摘In 1899, Max Planck integrated the Planck constant h with the gravitational constant G and the speed of light c, discovered a set of physical constants, and created Planck Units System. Since 20th century, the development of physics made the gravitational constant, the speed of light, and the Planck constant the most important fundamental constants of physics representing classical theory, relativity, and quantum theory, respectively. Now, the Planck Units have been given new physical meanings, revealing the mysteries of many physical boundaries. However, more than 100 years have passed, Planck Units System not only failed to get rid of the incompatibility between the basic theories of physics, but also cannot surpass the limitations of existing physics theories. In Cosmic Continuum Theory, physical dimensions can be transformed under the principle of equivalence. Planck units system not only integrates into the axiom system of Cosmic Continuum Theory, but also establishes a benchmark for the unity of physical dimensions. The introduction of the abstract physical dimensions “JX” and “XJ” makes the physical dimension of existence quantity and dimension quantity unified respectively.
文摘When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitative-quantitative set of variables) and its accuracy. For hundreds of years, the visual simplicity of a law testified to the genius and depth of the physical thinking of the scientist who proposed it. Currently, the desire for a deeper physical understanding of the surrounding world and newly discovered physical phenomena motivates researchers to increase the number of variables considered in a model. This direction leads to an increased probability of choosing an inaccurate or even erroneous model. This study describes a method for estimating the limit of measurement accuracy, taking into account the stage of model building in terms of storage, transmission, processing and use of information by the observer. This limit, due to the finite amount of information stored in the model, allows you to select the optimal number of variables for the best reproduction of the observed object and calculate the exact values of the threshold discrepancy between the model and the phenomenon under study in measurement theory. We consider two examples: measurement of the speed of sound and measurement of physical constants.
文摘由于定风量空调机组(Constant Air Volume Air Handling Unit, CAVAHU)输出的新风量往往是固定的,当空调房间内的额定人员数量超员或不足时,会导致空调房间CO_(2)浓度测量值Cn高于室内CO_(2)浓度设定值Cn=Cn,set或新风负荷增大的状况。对此提出了一种空调房间CO_(2)浓度二自由度内模分数阶PI控制策略和设计改进多目标人工蜂群算法(Improved Multi-Objective Artificial Bee Colony Algorithm, IMOABCA)对控制器参数实施整定的思路。首先,基于人工蜂群算法,分别对雇佣蜂和观察蜂引入自适应惯性权重和精英组策略,进行非线性递减和柯西变异的演变,并结合观察蜂搜索特性,将最小粒子角度引入外部档案集,获取相应的Pareto解集,设计IMOABCA,进而对控制器的3个参数进行整定,获得相应的最优值。最后,借助MATLAB工具,对该室内CO_(2)浓度的二自由度内模分数阶PI控制系统进行组态和仿真。结果表明:该室内CO_(2)浓度二自由度内模分数阶PI控制系统和IMOABCA是可行的,能够实现Cn=Cn,set的调节目的和获取控制器的3个参数最优值,提升室内CO_(2)浓度的调节品质。