This paper deals with a first-principle mathematical model that describes the electrostatic coalescer unitsdevoted to the separation of water from oil in water-in-oil emulsions, which are typical of the upstreamoperat...This paper deals with a first-principle mathematical model that describes the electrostatic coalescer unitsdevoted to the separation of water from oil in water-in-oil emulsions, which are typical of the upstreamoperations in oil fields. The main phenomena governing the behavior of the electrostatic coalescer are denscribed, starting from fundamental laws. In addition, the gradual coalescence of the emulsion droplets isconsidered in the mathematical modeling in a dynamic fashion, as the phenomenon is identified as a keystep in the overall yield of the unit operation. The resulting differential system with boundary conditionsis then integrated via performing numerical libraries, and the simulation results confirm the available lit-erature and the industrial data. A sensitivity analysis is provided with respect to the main parameters. Themathematical model results in a flexible tool that is useful for the purposes of design, unit behavior predic-tion. performance rnoniroring, and ontimization.展开更多
A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange ter...A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange term KaQ and the kernel for the fermion line renormalization K_(fr).It is shown that according to our method,not only K_(an) but also K_(sc) and K_(fr) can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.展开更多
This paper offers a study of J.L.Lagrange's research on history of mathematics,aiming to clarify Lagrange's intention in carrying out historical work.To this end,I first document how Lagrange worked with and e...This paper offers a study of J.L.Lagrange's research on history of mathematics,aiming to clarify Lagrange's intention in carrying out historical work.To this end,I first document how Lagrange worked with and exerted his influence on other scholars in the translation and diffusion of ancient Greek texts.Second,investigating Lagrange's style in doing and writing history of mathematics,this paper takes a new perspective and elucidates his motivation in these activities.In particular,it focuses on Lagrange's presentation of the history of calculus while he was teaching analysis at the Ecole Polytechnique(1795-1799)so as to clarify the function of history in Lagrange's mathematical works.My thesis is that Lagrange's intention in examining the different methods employed by his predecessors was to find inspiration and useful contents in his search for the proper approach to mathematical problems.I thus argue in this paper that history served as a guide or methodology for Lagrange's mathematics.Meanwhile,through an analysis of his historical writing,this paper points to four epistemological values according to which Lagrange judged various historical methods of differential calculus:generality,simplicity,clarity,and rigor.Lagrange's move to rigorize analysis was connected to his interest in and research of Greek texts;he was attempting to introduce the rigor of the ancient Greeks'demonstration in his works of analysis.展开更多
In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and e...In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and establish evaluation standard based on the relationship between refractive index and reflectivity and responses of reflection efficiency to refractive index,grating thickness and incident angles,etc.The results suggest that reflection efficiency varies significantly as a function of the natural jadeite quality,which can provide a new method to evaluate natural jadeite.展开更多
Rigorous Coupled-Wave Approach (RCWA) has been used successfully and accurately to study simple grating structures, such as one-layer gratings, one-whole gratings. In this paper, RCWA is expanded to solve Sandwich gra...Rigorous Coupled-Wave Approach (RCWA) has been used successfully and accurately to study simple grating structures, such as one-layer gratings, one-whole gratings. In this paper, RCWA is expanded to solve Sandwich gratings (SG), which is composed of two identical planar dielectric gratings adjoined by thin metallic or dielectric film. The electromagnetic analytic expressions for each layer of SG structure are given and rigorous coupled-wave equations are deduced. The numerical investigations for the diffraction spectra of SG by our theoretical and computer programs are in good agreement with the results of classical RCWA in the condition when a Sandwish grating is simplified to a classical one-layer grating. The calculations by our programs of another condition when a Sandwish grating is degenerated to a classical single planar structure also conform to the results of classical electromagnetic theory. The research results above indicate that the extended theoretical formula has backwards compatibility and is self-consistent with the classical theory.展开更多
Continuous time random walk on fractals is studied.Asymptotic forms of<r^(2)(t)>,S(t)and P(t)are obtained rigorously by the generalized Blackwell theorem,where<r^(2)(t)>is the mean-square displacement,S(t)...Continuous time random walk on fractals is studied.Asymptotic forms of<r^(2)(t)>,S(t)and P(t)are obtained rigorously by the generalized Blackwell theorem,where<r^(2)(t)>is the mean-square displacement,S(t)the number of distinct sites visited in time t,and P(t)the probability of return at time t.The spatial disorder turns out to be predominant for long time.展开更多
Global mean sea level budget is rigorously adjusted during the period 2005-2015.The emphasis is to provide the best estimates for the linear rates of changes(trends)of the global mean sea level budget components durin...Global mean sea level budget is rigorously adjusted during the period 2005-2015.The emphasis is to provide the best estimates for the linear rates of changes(trends)of the global mean sea level budget components during this period subject to the constraint:Earth’s hydrosphere conserves water.The newly simultaneously adjusted trends of the budget components suggest a larger correction for the global mean sea level trend implicated by the other budget components’trends under the budget constraint.The simultaneous estimation of the linear trends of the budget components subject to the constraint for closure improves their uncertainties and enables a holistic assessment of the global mean sea budget,which has implications for future sea level science studies,including the future Intergovernmental Panel on Climate Change(IPCC)Assessment Reports,and the US Climate Assessment Reports.展开更多
In this article,some new rigorous perturbation bounds for the SR decomposition un-der normwise or componentwise perturbations for a given matrix are derived.Also,the explicit expressions for the mixed and componentwis...In this article,some new rigorous perturbation bounds for the SR decomposition un-der normwise or componentwise perturbations for a given matrix are derived.Also,the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach.Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature.展开更多
In this article I conduct a short review of the proofs of the area inside a circle. These include intuitive as well as rigorous analytic proofs. This discussion is important not just from mathematical view point but a...In this article I conduct a short review of the proofs of the area inside a circle. These include intuitive as well as rigorous analytic proofs. This discussion is important not just from mathematical view point but also because pedagogically the calculus books still use circular reasoning today to prove the area inside a circle (also that of an ellipse) on this important historical topic, first illustrated by Archimedes. I offer an innovative approach through the introduction of a theorem, which will lead to proving the area inside a circle avoiding circular argumentation.展开更多
We report rigorous coupled-wave analysis(RCWA) method to non-destructively characterize the domain structure of periodically poled lithium niobate(PPLN) crystal. The strong light diffraction effect is achieved by appl...We report rigorous coupled-wave analysis(RCWA) method to non-destructively characterize the domain structure of periodically poled lithium niobate(PPLN) crystal. The strong light diffraction effect is achieved by applying a proper external voltage. We can observe reversed domain pattern and employ the detected diffraction intensity to optimally fit the result of RCWA based on least square method. Compared with conventional scalar diffraction theory, more accurate domain structure parameters with accuracies of 0.05 μm and 0.005 for the period and duty cycle are obtained respectively. It is proved that accurate, real-time and nondestructive characterization can be realized via this method.展开更多
There is a growing interest in understanding the energy and environmental footprint of digital currencies,specifically in cryptocurrencies such as Bitcoin and Ethereum.These cryptocurrencies are operated by a geograph...There is a growing interest in understanding the energy and environmental footprint of digital currencies,specifically in cryptocurrencies such as Bitcoin and Ethereum.These cryptocurrencies are operated by a geographically distributed network of computing nodes,making it hard to estimate their energy consumption accurately.Existing studies,both in academia and industry,attempt to model cryptocurrency energy consumption often based on a number of assumptions,for instance,about the hardware in use or the geographic distribution of the computing nodes.A number of these studies have already been widely criticized for their design choices and subsequent over-or under-estimation of energy use.In this study,we evaluate the reliability of prior models and estimates by leveraging existing scientific literature from fields cognizant of blockchain,such as social energy sciences and information systems.We first design a quality assessment framework based on existing research,and we then conduct a systematic literature review examining scientific and non-academic literature demonstrating common issues and potential avenues of addressing these issues.Our goal with this article is to advance the field by promoting scientific rigor in studies focusing on blockchain energy footprint.To that end,we provide a novel set of codes of conduct for the five most widely used research methodologies:Quantitative energy modeling,literature reviews,data analysis and statistics,case studies,and experiments.We envision that this code of conduct would assist in standardizing the design and assessment of studies focusing on blockchain-based systems’energy and environmental footprint.展开更多
Editor-in Chief:Sung Keun Lee Managing Editor:Heejung Kim Associated Editors:Hema Achyuthan,Laia Alegret,Kristine Asch,Margaret Brocx,Elizabeth Catlos,Chee-Ming Chan,Giuseppe Di Capua,Sabina Dolenec,Andrea Festa,Stanl...Editor-in Chief:Sung Keun Lee Managing Editor:Heejung Kim Associated Editors:Hema Achyuthan,Laia Alegret,Kristine Asch,Margaret Brocx,Elizabeth Catlos,Chee-Ming Chan,Giuseppe Di Capua,Sabina Dolenec,Andrea Festa,Stanley Finney,Kathleen Histon,Gurmeet Kaur,Osamu Kazaoka,Heejung Kim,Jin-Yong Lee,Brian Marker,Victor Mocanu,Nellia Mutemeri,Maria Dolores Pereira,Maria Rose Petrizzo,Mihail Popescu,Brian Pratt,Elizabeth Rovere,Reimar Seltmann,Afroz Ahmad Shahd,Clara Vasconcelos,Wenjiao Xaio In the ever-evolving landscape of academic publishing,the peer review process remains the cornerstone of integrity,rigor,and scholarly excellence.At the heart of this process are our peer reviewers—dedicated experts who generously volunteer their time and expertise to ensure that every episode we publish meets the highest academic standards.展开更多
On January 17,a list of the“Top 10 News Stories on 2024 Lancang-Mekong Cooperation”was jointly unveiled by the Center for Asia-Pacific under China International Communications Group(CICG Asia-Pacific)and the Yunnan ...On January 17,a list of the“Top 10 News Stories on 2024 Lancang-Mekong Cooperation”was jointly unveiled by the Center for Asia-Pacific under China International Communications Group(CICG Asia-Pacific)and the Yunnan International Communication Center for South and Southeast Asia in Bangkok,Thailand,after a rigorous selection process.展开更多
Introduction Since the 21st century,the biomedical field has gained increasing attention.The biomedical field mainly encompasses biology,materials science,pharmacology,and drug delivery,etc.These areas hold significan...Introduction Since the 21st century,the biomedical field has gained increasing attention.The biomedical field mainly encompasses biology,materials science,pharmacology,and drug delivery,etc.These areas hold significant importance for human society in terms of health protection,disease diagnosis and treatment,via medical technology innovation and drug development.Consequently,scientists place great emphasis on research in this domain.It must be noted that the research process in biomedicine mainly includes topic selection,experimentation,analysis,and summary.Among these,topic selection is a critical step that affects the entire process.This topic selection not only clarifies the direction and objectives of the study but also provides a clear framework for subsequent research,thereby ensuring scientific rigor and effectiveness while laying a solid foundation for the result analysis.Thus,how to approach topic selection is a crucial issue that requires careful consideration.展开更多
文摘This paper deals with a first-principle mathematical model that describes the electrostatic coalescer unitsdevoted to the separation of water from oil in water-in-oil emulsions, which are typical of the upstreamoperations in oil fields. The main phenomena governing the behavior of the electrostatic coalescer are denscribed, starting from fundamental laws. In addition, the gradual coalescence of the emulsion droplets isconsidered in the mathematical modeling in a dynamic fashion, as the phenomenon is identified as a keystep in the overall yield of the unit operation. The resulting differential system with boundary conditionsis then integrated via performing numerical libraries, and the simulation results confirm the available lit-erature and the industrial data. A sensitivity analysis is provided with respect to the main parameters. Themathematical model results in a flexible tool that is useful for the purposes of design, unit behavior predic-tion. performance rnoniroring, and ontimization.
基金Supported by the National Natural Science Foundation of China and the Foundation of State Education Commission.
文摘A rigorous spectral representation of relativistic random-phase approximation is presented.Explicit expression is derived for the effective particle-hole interaction which contains the direct term Kan,the exchange term KaQ and the kernel for the fermion line renormalization K_(fr).It is shown that according to our method,not only K_(an) but also K_(sc) and K_(fr) can be given rigorously in a form which depends only on one ω(energy)-variable and they all take account of the retardation effect properly.
文摘This paper offers a study of J.L.Lagrange's research on history of mathematics,aiming to clarify Lagrange's intention in carrying out historical work.To this end,I first document how Lagrange worked with and exerted his influence on other scholars in the translation and diffusion of ancient Greek texts.Second,investigating Lagrange's style in doing and writing history of mathematics,this paper takes a new perspective and elucidates his motivation in these activities.In particular,it focuses on Lagrange's presentation of the history of calculus while he was teaching analysis at the Ecole Polytechnique(1795-1799)so as to clarify the function of history in Lagrange's mathematical works.My thesis is that Lagrange's intention in examining the different methods employed by his predecessors was to find inspiration and useful contents in his search for the proper approach to mathematical problems.I thus argue in this paper that history served as a guide or methodology for Lagrange's mathematics.Meanwhile,through an analysis of his historical writing,this paper points to four epistemological values according to which Lagrange judged various historical methods of differential calculus:generality,simplicity,clarity,and rigor.Lagrange's move to rigorize analysis was connected to his interest in and research of Greek texts;he was attempting to introduce the rigor of the ancient Greeks'demonstration in his works of analysis.
文摘In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and establish evaluation standard based on the relationship between refractive index and reflectivity and responses of reflection efficiency to refractive index,grating thickness and incident angles,etc.The results suggest that reflection efficiency varies significantly as a function of the natural jadeite quality,which can provide a new method to evaluate natural jadeite.
文摘Rigorous Coupled-Wave Approach (RCWA) has been used successfully and accurately to study simple grating structures, such as one-layer gratings, one-whole gratings. In this paper, RCWA is expanded to solve Sandwich gratings (SG), which is composed of two identical planar dielectric gratings adjoined by thin metallic or dielectric film. The electromagnetic analytic expressions for each layer of SG structure are given and rigorous coupled-wave equations are deduced. The numerical investigations for the diffraction spectra of SG by our theoretical and computer programs are in good agreement with the results of classical RCWA in the condition when a Sandwish grating is simplified to a classical one-layer grating. The calculations by our programs of another condition when a Sandwish grating is degenerated to a classical single planar structure also conform to the results of classical electromagnetic theory. The research results above indicate that the extended theoretical formula has backwards compatibility and is self-consistent with the classical theory.
文摘Continuous time random walk on fractals is studied.Asymptotic forms of<r^(2)(t)>,S(t)and P(t)are obtained rigorously by the generalized Blackwell theorem,where<r^(2)(t)>is the mean-square displacement,S(t)the number of distinct sites visited in time t,and P(t)the probability of return at time t.The spatial disorder turns out to be predominant for long time.
基金partially supported by the Natural Science Foundation of China(Grant No.41974040)。
文摘Global mean sea level budget is rigorously adjusted during the period 2005-2015.The emphasis is to provide the best estimates for the linear rates of changes(trends)of the global mean sea level budget components during this period subject to the constraint:Earth’s hydrosphere conserves water.The newly simultaneously adjusted trends of the budget components suggest a larger correction for the global mean sea level trend implicated by the other budget components’trends under the budget constraint.The simultaneous estimation of the linear trends of the budget components subject to the constraint for closure improves their uncertainties and enables a holistic assessment of the global mean sea budget,which has implications for future sea level science studies,including the future Intergovernmental Panel on Climate Change(IPCC)Assessment Reports,and the US Climate Assessment Reports.
基金supported by the National Natural Science Foundation of China(Grant No.11771265).
文摘In this article,some new rigorous perturbation bounds for the SR decomposition un-der normwise or componentwise perturbations for a given matrix are derived.Also,the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach.Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature.
文摘In this article I conduct a short review of the proofs of the area inside a circle. These include intuitive as well as rigorous analytic proofs. This discussion is important not just from mathematical view point but also because pedagogically the calculus books still use circular reasoning today to prove the area inside a circle (also that of an ellipse) on this important historical topic, first illustrated by Archimedes. I offer an innovative approach through the introduction of a theorem, which will lead to proving the area inside a circle avoiding circular argumentation.
基金supported by the National High Technology Research and Development Program of China(No.2013AA030501)
文摘We report rigorous coupled-wave analysis(RCWA) method to non-destructively characterize the domain structure of periodically poled lithium niobate(PPLN) crystal. The strong light diffraction effect is achieved by applying a proper external voltage. We can observe reversed domain pattern and employ the detected diffraction intensity to optimally fit the result of RCWA based on least square method. Compared with conventional scalar diffraction theory, more accurate domain structure parameters with accuracies of 0.05 μm and 0.005 for the period and duty cycle are obtained respectively. It is proved that accurate, real-time and nondestructive characterization can be realized via this method.
文摘There is a growing interest in understanding the energy and environmental footprint of digital currencies,specifically in cryptocurrencies such as Bitcoin and Ethereum.These cryptocurrencies are operated by a geographically distributed network of computing nodes,making it hard to estimate their energy consumption accurately.Existing studies,both in academia and industry,attempt to model cryptocurrency energy consumption often based on a number of assumptions,for instance,about the hardware in use or the geographic distribution of the computing nodes.A number of these studies have already been widely criticized for their design choices and subsequent over-or under-estimation of energy use.In this study,we evaluate the reliability of prior models and estimates by leveraging existing scientific literature from fields cognizant of blockchain,such as social energy sciences and information systems.We first design a quality assessment framework based on existing research,and we then conduct a systematic literature review examining scientific and non-academic literature demonstrating common issues and potential avenues of addressing these issues.Our goal with this article is to advance the field by promoting scientific rigor in studies focusing on blockchain energy footprint.To that end,we provide a novel set of codes of conduct for the five most widely used research methodologies:Quantitative energy modeling,literature reviews,data analysis and statistics,case studies,and experiments.We envision that this code of conduct would assist in standardizing the design and assessment of studies focusing on blockchain-based systems’energy and environmental footprint.
文摘Editor-in Chief:Sung Keun Lee Managing Editor:Heejung Kim Associated Editors:Hema Achyuthan,Laia Alegret,Kristine Asch,Margaret Brocx,Elizabeth Catlos,Chee-Ming Chan,Giuseppe Di Capua,Sabina Dolenec,Andrea Festa,Stanley Finney,Kathleen Histon,Gurmeet Kaur,Osamu Kazaoka,Heejung Kim,Jin-Yong Lee,Brian Marker,Victor Mocanu,Nellia Mutemeri,Maria Dolores Pereira,Maria Rose Petrizzo,Mihail Popescu,Brian Pratt,Elizabeth Rovere,Reimar Seltmann,Afroz Ahmad Shahd,Clara Vasconcelos,Wenjiao Xaio In the ever-evolving landscape of academic publishing,the peer review process remains the cornerstone of integrity,rigor,and scholarly excellence.At the heart of this process are our peer reviewers—dedicated experts who generously volunteer their time and expertise to ensure that every episode we publish meets the highest academic standards.
文摘On January 17,a list of the“Top 10 News Stories on 2024 Lancang-Mekong Cooperation”was jointly unveiled by the Center for Asia-Pacific under China International Communications Group(CICG Asia-Pacific)and the Yunnan International Communication Center for South and Southeast Asia in Bangkok,Thailand,after a rigorous selection process.
文摘Introduction Since the 21st century,the biomedical field has gained increasing attention.The biomedical field mainly encompasses biology,materials science,pharmacology,and drug delivery,etc.These areas hold significant importance for human society in terms of health protection,disease diagnosis and treatment,via medical technology innovation and drug development.Consequently,scientists place great emphasis on research in this domain.It must be noted that the research process in biomedicine mainly includes topic selection,experimentation,analysis,and summary.Among these,topic selection is a critical step that affects the entire process.This topic selection not only clarifies the direction and objectives of the study but also provides a clear framework for subsequent research,thereby ensuring scientific rigor and effectiveness while laying a solid foundation for the result analysis.Thus,how to approach topic selection is a crucial issue that requires careful consideration.
