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A New Two-Parameter Formula for Rotational Spectra 被引量:1
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作者 Zeng Guo-mo1,2 Liu Wei1 Zhao En-guang21 Department of Physics, Jilin University, Changchun 1300232 Institute of Theoretical Physics, the Chinese Academy of Sciences, P. O. Box 2735, Beijing 100080 《Chinese journal of nuclear physics》 1995年第4期322-327,共6页
A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a gre... A new two-parameter formula for the rotational spectra of well deformed nuclei isproposed. The formula is deduced from experimental level systematics and alternatively fromnuclear hydrodynamics. Comparisons with a great number of rotational spectra of even-even nu-clei in rare-earth and actinides region show that the formula is the best one among all two-pa-rameter formulas. It is pointed out that this formula can be applied to the spin assignment forsuperdeformed band. 展开更多
关键词 two-parameter formula ROTATIONAL SPECTRA NUCLEAR HYDRODYNAMICS
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Band head spin determination of triaxial superdeformed bands in ^163,164,165Lu through two-parameter formulae
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作者 Honey Sharma H.M. Mittal 《Chinese Physics C》 SCIE CAS CSCD 2018年第11期72-77,共6页
The two-parameter formulae, i.e. the nuclear softness formula and the power index formula, have been used to obtain the band head spin (I0) of the triaxial superdeformed (SD) bands in ^163Lu(1,2,3,4), ^164Lu(1,... The two-parameter formulae, i.e. the nuclear softness formula and the power index formula, have been used to obtain the band head spin (I0) of the triaxial superdeformed (SD) bands in ^163Lu(1,2,3,4), ^164Lu(1,2,3) and ^165Lu(1,2,3), in the A - 160 mass region. The least squares fitting approach is used. The values of the root mean square (RMS) deviation among the computed and the measured experimental transition energies are obtained by calculating the model parameters. Whenever accurate spins are available, superb agreement is shown between the determined and the measured experimental transition energies. In comparison to the power index formula, the values of band head spin (I0) of the triaxial SD bands in ^163Lu(1,2,3,4), ^164Lu(1,2,3) and ^165Lu(1,2,3) obtained by the nuclear softness formula are closer to the experimental data. The lowest RMS deviation is also achieved by the nuclear softness formula. Hence, the nuclear softness formula works well for obtaining the band head spin (I0) for the triaxial SD bands in ^163Lu(1,2,3,4), ^164Lu(1,2,3) and ^165Lu(1,2,3) in the A-160 mass region. The dynamic moment of inertia against hω is also studied. 展开更多
关键词 band head spin nuclear softness formula power index formula triaxial superdeformed bands
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Exact solutions for the transcritical Riemann problem of two-parameter fluids
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作者 Haotong BAI Yixin YANG +2 位作者 Wenjia XIE Dejian LI Mingbo SUN 《Applied Mathematics and Mechanics(English Edition)》 2025年第12期2385-2406,共22页
Transcritical and supercritical fluids widely exist in aerospace propulsion systems,such as the coolant flow in the regenerative cooling channels of scramjet engines.To numerically simulate the coolant flow,we must ad... Transcritical and supercritical fluids widely exist in aerospace propulsion systems,such as the coolant flow in the regenerative cooling channels of scramjet engines.To numerically simulate the coolant flow,we must address the challenges in solving Riemann problems(RPs)for real fluids under complex flow conditions.In this study,an exact numerical solution for the one-dimensional RP of two-parameter fluids is developed.Due to the comprehensive resolution of fluid thermodynamics,the proposed solution framework is suitable for all forms of the two-parameter equation of state(EoS).The pressure splitting method is introduced to enable parallel calculation of RPs across multiple grid points.Theoretical analysis demonstrates the isentropic nature of weak waves in two-parameter fluids,ensuring that the same mathematical properties as ideal gas could be applied in Newton's iteration.A series of numerical cases validate the effectiveness of the proposed method.A comparative analysis is conducted on the exact Riemann solutions for the real fluid EoS,the ideal gas EoS,and the improved ideal gas EoS under supercritical and transcritical conditions.The results indicate that the improved one produces smaller errors in the calculation of momentum and energy fluxes. 展开更多
关键词 two-parameter fluid Riemann problem(RP) exact solution supercritical fluid pressure splitting transcritical fluid
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Some Reciprocity Formulas for Generalized Dedekind-Rademacher Sums
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作者 HE Yuan SHI Yongguo 《数学进展》 北大核心 2026年第1期85-102,共18页
In this paper,we study the generalized Dedekind Rademacher sums considered by Hall,Wilson and Zagier.We establish a new formula for the products of two Bernoulli functions by using Parseval's formula,Hurwitz's... In this paper,we study the generalized Dedekind Rademacher sums considered by Hall,Wilson and Zagier.We establish a new formula for the products of two Bernoulli functions by using Parseval's formula,Hurwitz's formula and Lerch's functional equation.As applications of the result,some well-known reciprocity formulas are deduced as special cases. 展开更多
关键词 Bernoulli function Dedekind sum Hurwitz and Lerch zeta function reciprocity formula
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阿尔贝蒂《论密码》中“formula”涵义与其密码算法
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作者 杨欣童 《计算》 2026年第2期62-67,72,共7页
阿尔贝蒂在其著作《论密码》中提出的核心概念“formula”,长期以来被解读为一种物理装置,即密码盘本身。然而,通过对《论密码》文本的细致分析及其密码算法的系统梳理,本文指出,这一传统理解未能充分揭示阿尔贝蒂的真实意图。研究表明,... 阿尔贝蒂在其著作《论密码》中提出的核心概念“formula”,长期以来被解读为一种物理装置,即密码盘本身。然而,通过对《论密码》文本的细致分析及其密码算法的系统梳理,本文指出,这一传统理解未能充分揭示阿尔贝蒂的真实意图。研究表明,“formula”并非仅指代密码盘的硬件结构,而是一个具有多种映射关系和多层映射关系的密码算法。该算法通过动态调整字母与数字的对应关系,实现了加密过程的复杂性与安全性,体现了阿尔贝蒂对数学映射思想的深刻运用。本文通过探求“formula”的涵义对阿尔贝蒂的密码装置与相应算法做了澄清,为西方密码学的机械化和算法化进程提供了参考。 展开更多
关键词 《论密码》 阿尔贝蒂 密码算法 formula 映射
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Γ^(0)(2)MODULAR FORMS AND ANOMALY CANCELLATION FORMULAS
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作者 Siyao LIU Yong WANG 《Acta Mathematica Scientia》 2026年第1期119-130,共12页
In the references[4,11,12],the authors gave some modular forms overΓ^(0)(2).In this note,we proceed with the study of cancellation formulas relating to the modular forms.
关键词 modular invariance cancellation formulas (a b)type cancellation formulas
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Hua-Yi-Jie-Du formula ameliorates poly(I:C)-induced viral pneumonia by regulating ILC2 cells and NLRP3 activation
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作者 Xiao-Hong Li Ning Yang +7 位作者 Chun-Fei Zhang Die Qian Guo-Hui Yang Xin-Yan Yang Chun-Rong He Zhi-Dao Zhang Bi-Hong Dai Chun-Ping Wan 《Traditional Medicine Research》 2026年第6期50-59,共10页
Background:Hua-Yi-Jie-Du formula(HYJD)is a traditional Chinese medicine that has proven effective against viral pneumonia and was extensively used during the COVID-19 pandemic.This study investigates how HYJD influenc... Background:Hua-Yi-Jie-Du formula(HYJD)is a traditional Chinese medicine that has proven effective against viral pneumonia and was extensively used during the COVID-19 pandemic.This study investigates how HYJD influences group 2 innate lymphoid cell(ILC2)and nucleotide oligomerization domain(NOD)-like receptor protein 3(NLRP3)inflammasome activation in a mouse model of viral pneumonia.Methods:A mouse model of viral pneumonia was established through the administration of polyinosinic-polycytidylic acid(poly(I:C))via nasal drops.Histopathological analysis of lung tissue was conducted,alongside enzyme-linked immunosorbent assay to quantify cytokine levels in serum and bronchoalveolar lavage fluid(BALF).Flow cytometry was employed to detect ILC2 cells in lung tissue and spleen,while immunofluorescence techniques were utilized to visualize ILC2 cells in lung tissue.Transcriptomic sequencing was performed,and the results were validated using qRT-PCR and western blot analysis.Results:HYJD significantly ameliorated inflammatory infiltration in lung tissue,decreased mucus protein secretion,and reduced the serum levels of inflammatory cytokines interleukin(IL)-1β,IL-6,and tumor necrosis factor-alpha(TNF-α).Additionally,it lowered the expression of cytokines IL-4,IL-5,IL-13,IL-25,thymic stromal lymphopoietin(TSLP),and IL-33 in BALF,and reduced the differentiation of ILC2 cells in both lung tissue and spleen.Transcriptomic analysis and experimental validation revealed that HYJD downregulated the expression of NLRP3 related genes and proteins within the NOD-like receptor signaling pathway.Conclusion:The mechanism by which HYJD intervenes in acute lung injury associated with viral pneumonia may involve the reduction of ILC2 cells differentiation and the inhibition of NLRP3 activation. 展开更多
关键词 viral pneumonia Hua-Yi-Jie-Du formula ILC2 cells NLRP3 inflammatory response
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Xijiaqi Formula attenuates cognitive dysfunction by inhibiting neuroinflammation and promoting neuroplasticity in rats with chronic heart failure
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作者 Jie Chen Xuefen Wu +8 位作者 Qian Zhang Hongcai Shang Wanting Li Linnan Zhou Xinyu Chu Guiyang Xia Huan Xia Xiaohong Wei Sheng Lin 《Chinese Journal of Natural Medicines》 2026年第1期73-88,共16页
Chronic heart failure(CHF)impairs cognitive function.Xijiaqi Formula(XJQ),a traditional Chinese medicine(TCM)used clinically to treat CHF,demonstrates potential for improving cognition in CHF patients.However,its prec... Chronic heart failure(CHF)impairs cognitive function.Xijiaqi Formula(XJQ),a traditional Chinese medicine(TCM)used clinically to treat CHF,demonstrates potential for improving cognition in CHF patients.However,its precise mechanism in treating post-CHF cognitive dysfunction remains unclear.This study systematically investigates XJQ’s effects on post-CHF cognitive dysfunction and the underlying mechanisms.The components of XJQ were identified through liquid chromatography-mass spectrometry.CHF was induced in rats via ligation of the left anterior descending coronary artery,followed by six weeks of XJQ treatment.Cardiac function was evaluated through echocardiography and hemodynamic parameters,while cognitive function was assessed using Morris water maze(MWM)and open field tests(OFT).XJQ treatment enhanced both cardiac and cognitive functions in CHF rats.Network pharmacology identified 12 core active components of XJQ and indicated its effect on cognitive dysfunction involved regulating synapses,inflammation,and phosphodiesterase 4(PDE4)-dependent cyclic adenosine monophosphate(cAMP)signaling.XJQ inhibited microglial and astrocyte activation,decreased proinflammatory cytokines,and mitigated neuronal damage.Notably,XJQ promoted synaptic repair and dendritic growth by downregulating PDE4 and upregulating cAMP,protein kinase A(PKA),cAMP-response element binding protein(CREB),brain-derived neurotrophic factor(BDNF),PSD95,and synapsin I levels.Molecular docking and Bio-layer interferometry assays confirmed direct binding of quercetin,kaempferol,isorhamnetin,and darutoside to PDE4.In conclusion,XJQ alleviates neuroinflammation and enhances synaptic plasticity to improve cognitive dysfunction in CHF rats via the PDE4/cAMP/PKA/CREB signaling pathway.These findings provide valuable insight into the heart-brain axis. 展开更多
关键词 Xijiaqi formula Cognitive dysfunction Chronic heart failure Synaptic plasticity NEUROINFLAMMATION PDE4
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Meta-analysis on the efficacy of liver-soothing formulas for perimenopausal anxiety and depression
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作者 Rui Wang Ming-Xia Wu +1 位作者 Xiao-Fang Wang Zong-Tao Chen 《World Journal of Psychiatry》 2026年第1期369-384,共16页
BACKGROUND Perimenopausal women are prone to anxiety and depression due to fluctuating hormone levels,which significantly impair their quality of life.The current treatments have certain limitations.In traditional Chi... BACKGROUND Perimenopausal women are prone to anxiety and depression due to fluctuating hormone levels,which significantly impair their quality of life.The current treatments have certain limitations.In traditional Chinese medicine,liver-soothing formulas are commonly prescribed for mood-related disorders,but their overall efficacy in perimenopausal anxiety and depression remains uncertain and requires verification through meta-analysis.AIM To provide evidence-based support for clinical decision-making and research,a meta-analysis was conducted to evaluate the effectiveness of liver-soothing formulas in treating perimenopausal anxiety and depression.METHODS Relevant studies published up to April 2025 were retrieved from ClinicalTrials.gov,PubMed,Web of Science,EMBASE,and the Cochrane Library.Eligible studies were screened according to predefined inclusion and exclusion criteria.Data were extracted and analyzed using the Stata 12.0 software.RESULTS After searching and screening,12 articles involving 1798 patients(922 in the treatment group and 876 in the control group)were included in the analysis.Meta-analysis showed that the standardized scores for anxiety[standardized mean difference(SMD)=-0.71,95%confidence interval(95%CI):-1.06 to-0.36]and depression(SMD=-0.67,95%CI:-1.06 to-0.27)of the treatment group were lower than those of the control group.Subgroup analysis results revealed that for anxiety,liver-soothing formulas used alone(SMD=-0.34,95%CI:-0.50 to-0.18)or in combination(SMD=-0.88,95%CI:-1.43 to-0.34)both significantly reduced scores compared with the control group.For depression,monotherapy of liversoothing formulas showed no significant statistical difference between the treatment and control groups(SMD=-0.47,95%CI:-1.11 to 0.17),whereas combination therapy produced significantly lower standardized scale scores in the treatment group than in the control group,with a statistically significant difference(SMD=-0.83,95%CI:-1.39 to-0.28).Regarding Greene scores,no statistically significant difference was observed with monotherapy(SMD=0.87,95%CI:-0.32 to 2.06),whereas combination therapy had significantly lower Greene scores(SMD=-0.24,95%CI:-0.44 to-0.04).No statistically significant difference was found between the groups in the occurrence of adverse reactions(odds ratio=0.90,95%CI:0.57-1.43).However,liver-soothing formulas did not affect estrogen levels in perimenopausal women.CONCLUSION Compared with placebo,conventional Western medicine,or other interventions,the monotherapy of liver-soothing formulas demonstrates superior efficacy in treating perimenopausal anxiety.When used as an adjuvant,they exert a synergistic effect in alleviating negative emotions and improving overall perimenopausal symptoms. 展开更多
关键词 Liver soothing Traditional Chinese medicine formula PERIMENOPAUSE Anxiety and depression Randomized controlled trial
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Prestack migration velocity analysis based on simplified two-parameter moveout equation 被引量:1
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作者 陈海峰 李向阳 +2 位作者 钱忠平 宋建军 赵桂玲 《Applied Geophysics》 SCIE CSCD 2016年第1期135-144,220,221,共12页
Stacking velocity V_(C2),vertical velocity ratio γ_0,effective velocity ratio γ_(eff),and anisotropic parameter x_(eff) are correlated in the PS-converted-wave(PS-wave) anisotropic prestack Kirchhoff time mi... Stacking velocity V_(C2),vertical velocity ratio γ_0,effective velocity ratio γ_(eff),and anisotropic parameter x_(eff) are correlated in the PS-converted-wave(PS-wave) anisotropic prestack Kirchhoff time migration(PKTM) velocity model and are thus difficult to independently determine.We extended the simplified two-parameter(stacking velocity V_(C2) and anisotropic parameter k_(eff)) moveout equation from stacking velocity analysis to PKTM velocity model updating and formed a new four-parameter(stacking velocity V_(C2),vertical velocity ratio γ_0,effective velocity ratio γ_(eff),and anisotropic parameter k_(eff)) PS-wave anisotropic PKTM velocity model updating and process flow based on the simplified twoparameter moveout equation.In the proposed method,first,the PS-wave two-parameter stacking velocity is analyzed to obtain the anisotropic PKTM initial velocity and anisotropic parameters;then,the velocity and anisotropic parameters are corrected by analyzing the residual moveout on common imaging point gathers after prestack time migration.The vertical velocity ratio γ_0 of the prestack time migration velocity model is obtained with an appropriate method utilizing the P- and PS-wave stacked sections after level calibration.The initial effective velocity ratio γ_(eff) is calculated using the Thomsen(1999) equation in combination with the P-wave velocity analysis;ultimately,the final velocity model of the effective velocity ratio γ_(eff) is obtained by percentage scanning migration.This method simplifies the PS-wave parameter estimation in high-quality imaging,reduces the uncertainty of multiparameter estimations,and obtains good imaging results in practice. 展开更多
关键词 PS-converted-wave PKTM velocity updating two-parameter moveout equation migration imaging
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A GENERAL FORM OF THE INCREMENTS OF A TWO-PARAMETER WIENER PROCESS 被引量:2
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作者 林正炎 陆传荣 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1993年第1期54-63,共10页
In this paper, we consider a general form of the increments for a two-parameter Wiener process. Both the Csorgo-Revesz's increments and a class of the lag increments are the special cases of this general form of i... In this paper, we consider a general form of the increments for a two-parameter Wiener process. Both the Csorgo-Revesz's increments and a class of the lag increments are the special cases of this general form of increments. Our results imply the theorem that have been given by Csorgo and Revesz (1978), and some of their conditions are removed. 展开更多
关键词 two-parameter Wiener Process Increments.
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Buckling analysis of shear deformable composite conical shells reinforced by CNTs subjected to combined loading on the two-parameter elastic foundation 被引量:3
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作者 A.H.Sofiyev N.Kuruoglu 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第2期205-218,共14页
The main objective of this study is to investigate the buckling analysis of CCSs reinforced by CNTs subjected to combined loading of hydrostatic pressure and axial compression resting on the twoparameter elastic found... The main objective of this study is to investigate the buckling analysis of CCSs reinforced by CNTs subjected to combined loading of hydrostatic pressure and axial compression resting on the twoparameter elastic foundation(T-P-EF).It is one of the first attempts to derive the governing equations of the CCSs reinforced with CNTs,based on a generalized first-order shear deformation shell theory(FSDST)which includes shell-foundation interaction.By adopting the extended mixing rule,the effective material properties of CCSs reinforced by CNTs with linear distributions are approximated by introducing some efficiency parameters.Three carbon nanotube distribution in the matrix,i.e.uniform distribution(U)and V and X-types linear distribution are taken into account.The stability equations are solved by using the Galerkin procedure to determine the combined buckling loads(CBLs)of the structure selected here.The numerical illustrations cover CBLs characteristics of CCSs reinforced by CNTs in the presence of the T-P-EF.Finally,a parametric study is carried out to study the influences of the foundation parameters,the volume fraction of carbon nanotubes and the types of reinforcement on the CBLs. 展开更多
关键词 NANOCOMPOSITES CNTS Composite conical shells two-parameter elastic foundations Combined buckling loads Shear deformation shell theories
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A New Two-Parameter Heteromorphic Elliptic Equation: Properties and Applications 被引量:5
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作者 Zhouhu Wu 《World Journal of Engineering and Technology》 2020年第4期642-657,共16页
<div style="text-align:justify;"> The ellipse and the superellipse are both planar closed curves with a double axis of symmetry. Here we show the isoconcentration contour of the simplified two-dimensio... <div style="text-align:justify;"> The ellipse and the superellipse are both planar closed curves with a double axis of symmetry. Here we show the isoconcentration contour of the simplified two-dimensional advection-diffusion equation from a stable line source in the center of a wide river. A new two-parameter heteromorphic elliptic equation with a single axis of symmetry is defined. The values of heights, at the point of the maximum width and that of the centroid of the heteromorphic ellipse, are derived through mathematical analysis. Taking the compression coefficient <em>θ </em>= <em>b/a =</em><em></em><span></span> 1 as the criterion, the shape classification of H-type, Standard-type and W-type for heteromorphic ellipse have been given. The area formula, the perimeter theorem, and the radius of curvature of heteromorphic ellipses, and the geometric properties of the rotating body are subsequently proposed. An illustrative analysis shows that the inner contour curve of a heteromorphic elliptic tunnel has obvious advantages over the multiple- arc splicing cross section. This work demonstrates that the heteromorphic ellipses have extensive prospects of application in all categories of tunnels, liquid transport tanks, aircraft and submarines, bridges, buildings, furniture, and crafts. </div> 展开更多
关键词 two-parameter Curve Heteromorphic Ellipse Standard Equation Geometric Properties Engineering Applications
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Relation between Fresnel transform of input light field and the two-parameter Radon transform of Wigner function of the field 被引量:1
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作者 范洪义 胡利云 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第2期611-615,共5页
This paper proves a new theorem on the relationship between optical field Wigner function's two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ (x') propagates th... This paper proves a new theorem on the relationship between optical field Wigner function's two-parameter Radon transform and optical Fresnel transform of the field, i.e., when an input field ψ (x') propagates through an optical [D (-B) (-C) A] system, the energy density of the output field is equal to the Radon transform of the Wigner function of the input field, where the Radon transform parameters are D, B. It prove this theorem in both spatial-domain and frequency-domain, in the latter case the Radon transform parameters are A, C. 展开更多
关键词 Fresnel transform two-parameter Radon transform Wigner function
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Description of Rotational Molecular Spectra by the Two-Parameter Universal Equation
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作者 ZENG Guo-Mo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第8期209-212,共4页
The n-power two-parameter universal equation for rotational spectra which we deduced recently is appliedto the description of the rotational bands of several diatomic and tetra-atomic molecules. Excellent agreement wi... The n-power two-parameter universal equation for rotational spectra which we deduced recently is appliedto the description of the rotational bands of several diatomic and tetra-atomic molecules. Excellent agreement withexperimental data can be obtained with small n values. The relation between our equation and the famous Dunhamformula is discussed. 展开更多
关键词 two-parameter equation DIATOMIC and tetra-atomic molecules ROTATIONAL SPECTRA
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BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ONTWO-PARAMETER FOUNDATION
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作者 李正良 周永明 邓安福 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第4期351-359,共9页
Two fundamental solutions for bending problem of Reissner's plates on twoparameter foundation are derived by means of Fouier integral transformation of generalized function in this paper.On the basis of virtual wo... Two fundamental solutions for bending problem of Reissner's plates on twoparameter foundation are derived by means of Fouier integral transformation of generalized function in this paper.On the basis of virtual work principles, three boundary integral equations which fit for arbitrary shapes, loads and boundary conditions of thick plates are presented according to Hu Haichang's theory about Reissner's plates. It provides the fundamental theories for the application of BEM. A numerical example is given for clamped, simply supported and free boundary conditions. The results obtained are satisfactory as compared with the analytical methods. 展开更多
关键词 Reissuer's plate two-parameter foundation fundamental solution boundary integral equation
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ON MODULI OF NON-DIFFERENTIABILITY FOR A TWO-PARAMETER ORNSTEIN-UHLENBECK PRCESS
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作者 林正炎 《Acta Mathematica Scientia》 SCIE CSCD 1996年第S1期85-91,共7页
In the paper, which is a continuation of [2], we establish moduli of non-differentiablity for a two-parameter Ornstein-Uhlenbeck process.
关键词 Moduli of non-differentiablity two-parameter Ornstein-Uhlenbeck process
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Empirical Bayes Test for Two-parameter Exponential Distribution under Type-Ⅱ Censored Samples
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作者 WANG Liang SHI Yi-min CHANG Ping 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期54-58,共5页
The empirical Bayes test problem is considered for scale parameter of twoparameter exponential distribution under type-II censored data.By using wavelets estimation method,the EB test function is constructed,of which ... The empirical Bayes test problem is considered for scale parameter of twoparameter exponential distribution under type-II censored data.By using wavelets estimation method,the EB test function is constructed,of which the asymptotic optimality and convergence rates are obtained.Finally,an example concerning the main result is given. 展开更多
关键词 two-parameter exponential distribution wavelets estimation empirical Bayes test asymptotic optimality convergence rates
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Dynamics of Entanglement for a Two-Parameter Class of States in a Qubit-Qutrit System
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作者 魏海瑞 任宝藏 +2 位作者 李涛 华明 邓富国 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第6期983-990,共8页
We investigate the dynamics of entanglement for a two-parameter class of states in a hybrid qubit-qutrit system under the influence of various dissipative channels. Our results show that entanglement sudden death (ES... We investigate the dynamics of entanglement for a two-parameter class of states in a hybrid qubit-qutrit system under the influence of various dissipative channels. Our results show that entanglement sudden death (ESD) is a general phenomenon and it usually takes place in a qubit-qutrit system interacting with various noisy channels, not only the ease with dephasing and depolarizing channels observed by others. ESD can only be avoided for some initially entangled states under some particular noisy channels. Moreover, the environment affects the entanglement and the coherence of the system in very different ways. 展开更多
关键词 dynamics of entanglement qubit-qutrit systems a two-parameter class of states dissipative channels entanglement sudden death
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A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams
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作者 R.HOŁUBOWSKI K.JARCZEWSKA 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第12期2243-2252,共10页
This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved.A novel approach is applied to the analysis of the natural vibrations of Euler-Ber... This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved.A novel approach is applied to the analysis of the natural vibrations of Euler-Bernoulli beams.The proposed algorithm,named as two-parameter multiple shooting method,is a new powerful numerical tool for calculating the natural frequencies and modes of multi-segment prismatic and non-prismatic beams with different boundary conditions.The impact of the axial force and additional point masses is also taken into account.Due to the fact that the method is based directly on the fourth-order ordinary differential equation,the structures do not have to be divided into many small elements to obtain an accurate enough solution,even though the geometry is very complex.To verify the proposed method,three different examples are considered,i.e.,a three-segment non-prismatic beam,a prismatic column subject to non-uniformly distributed compressive loads,and a two-segment beam with an additional point mass.Numerical analyses are carried out with the software MATHEMATICA.The results are compared with the solutions computed by the commercial finite element program SOFiSTiK.Good agreement is achieved,which confirms the correctness and high effectiveness of the formulated algorithm. 展开更多
关键词 two-parameter multiple shooting method two-point boundary value problem natural vibration non-prismatic beam multi-segment beam
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