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A 112 Gbps DSP-based PAM4 SerDes receiver with a wide band equalization tuning AFE in 7 nm FinFET 被引量:1
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作者 Huanan Guo Yufeng Yao +1 位作者 Jiazhen Ni Xiang Gao 《Journal of Semiconductors》 2025年第6期44-52,共9页
In DSP-based SerDes application,it is essential for AFE to implement a pre-ADC equalization to provide a better sig-nal for ADC and DSP.To meet the various equalization requirements of different channel and transmitte... In DSP-based SerDes application,it is essential for AFE to implement a pre-ADC equalization to provide a better sig-nal for ADC and DSP.To meet the various equalization requirements of different channel and transmitter configurations,this paper presents a 112 Gbps DSP-Based PAM4 SerDes receiver with a wide band equalization tuning AFE.The AFE is realized by implementing source degeneration transconductance,feedforward high-pass branch and inductive feedback peaking TIA.The AFE offers a flexible equalization gain tuning of up to 17.5 dB at Nyquist frequency without affecting the DC gain.With the pro-posed AFE,the receiver demonstrates eye opening after digital FIR equalization and achieves 6×10^(-9) BER with a 29.6 dB inser-tion loss channel. 展开更多
关键词 AFE 112Gbps SerDes receiver wide band equalization
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A Study on the Strategies of Universality and Equality in Reading Promotion of Nordic Public Libraries
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作者 LUO Chen 《Cultural and Religious Studies》 2025年第6期289-295,共7页
Under the background of accelerated global cultural exchange and information dissemination,reading has become a crucial component of public cultural services.Public libraries in Nordic countries(Denmark,Sweden,Norway,... Under the background of accelerated global cultural exchange and information dissemination,reading has become a crucial component of public cultural services.Public libraries in Nordic countries(Denmark,Sweden,Norway,Finland,Iceland)stand out by adhering to the core philosophy of“universal sharing and equal reading”,integrating reading promotion into national strategies,and constructing extensive service networks through sound legal guarantees and adequate financial support.This study identifies four key strategies for universality and equality in Nordic public libraries:covering all age groups,eliminating group differences,integrating digital and physical resources,and ensuring the right to read through legislative,financial,and other institutional support.These provide a reference for global public cultural services. 展开更多
关键词 Nordic public libraries reading promotion UNIVERSALITY equalITY
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ECHOS OF THE STEINER-LEHMUS EQUAL BISECTORS THEOREM
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作者 Christoph BÖRGERS Eric L.GRINBERG +1 位作者 Mehmet ORHON Junhao SHEN 《Acta Mathematica Scientia》 2025年第1期257-263,共7页
The Steiner-Lehmus equal bisectors theorem originated in the mid 19th century.Despite its age,it would have been accessible to Euclid and his contemporaries.The theorem remains evergreen,with new proofs continuing to ... The Steiner-Lehmus equal bisectors theorem originated in the mid 19th century.Despite its age,it would have been accessible to Euclid and his contemporaries.The theorem remains evergreen,with new proofs continuing to appear steadily.The theorem has fostered discussion about the nature of proof itself,direct and indirect.Here we continue the momentum by providing a trigonometric proof,relatively short,based on an analytic estimate that leverages algebraic trigonometric identities.Many proofs of the theorem exist in the literature.Some of these contain key ideas that already appeared in C.L.Lehmus’1850 proofs,not always with citation.In the aim of increasing awareness of and making more accessible Lehmus’proofs,we provide an annotated translation.We conclude with remarks on different proofs and relations among them. 展开更多
关键词 Steiner-Lehmus theorem equal bisectors
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Equality and Inclusiveness&Harmonious Coexistence:Multi-dimensional Narratives of Civilisations from Writers'Perspective
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《International Understanding》 2025年第2期24-25,共2页
On the evening of May 3Oth,the parallel forum"Equality and Inclusiveness&Harmonious Coexistence:Multi-dimensional Narratives of Civilisations from Writers'Perspective",as part of the 4th Dialogue on ... On the evening of May 3Oth,the parallel forum"Equality and Inclusiveness&Harmonious Coexistence:Multi-dimensional Narratives of Civilisations from Writers'Perspective",as part of the 4th Dialogue on Exchanges and Mutual Learning among Civilisations,was held in Dunhuang.The forum was organised by the China Writers Association and co-organised by China National Publications Import&Export(Group)Corporation. 展开更多
关键词 INCLUSIVENESS dialogue EXCHANGES multi dimensional narratives civilisations writers perspective exchanges mutual learning equalITY
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Integration of YOLOv11 and Histogram Equalization for Fire and Smoke-Based Detection of Forest and Land Fires
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作者 Christine Dewi Melati Viaeritas Vitrieco Santoso +3 位作者 Hanna Prillysca Chernovita Evangs Mailoa Stephen Abednego Philemon Abbott Po Shun Chen 《Computers, Materials & Continua》 2025年第9期5361-5379,共19页
Early detection of Forest and Land Fires(FLF)is essential to prevent the rapid spread of fire as well as minimize environmental damage.However,accurate detection under real-world conditions,such as low light,haze,and ... Early detection of Forest and Land Fires(FLF)is essential to prevent the rapid spread of fire as well as minimize environmental damage.However,accurate detection under real-world conditions,such as low light,haze,and complex backgrounds,remains a challenge for computer vision systems.This study evaluates the impact of three image enhancement techniques—Histogram Equalization(HE),Contrast Limited Adaptive Histogram Equalization(CLAHE),and a hybrid method called DBST-LCM CLAHE—on the performance of the YOLOv11 object detection model in identifying fires and smoke.The D-Fire dataset,consisting of 21,527 annotated images captured under diverse environmental scenarios and illumination levels,was used to train and evaluate the model.Each enhancement method was applied to the dataset before training.Model performance was assessed using multiple metrics,including Precision,Recall,mean Average Precision at 50%IoU(mAP50),F1-score,and visual inspection through bounding box results.Experimental results show that all three enhancement techniques improved detection performance.HE yielded the highest mAP50 score of 0.771,along with a balanced precision of 0.784 and recall of 0.703,demonstrating strong generalization across different conditions.DBST-LCM CLAHE achieved the highest Precision score of 79%,effectively reducing false positives,particularly in scenes with dispersed smoke or complex textures.CLAHE,with slightly lower overall metrics,contributed to improved local feature detection.Each technique showed distinct advantages:HE enhanced global contrast;CLAHE improved local structure visibility;and DBST-LCM CLAHE provided an optimal balance through dynamic block sizing and local contrast preservation.These results underline the importance of selecting preprocessing methods according to detection priorities,such as minimizing false alarms or maximizing completeness.This research does not propose a new model architecture but rather benchmarks a recent lightweight detector,YOLOv11,combined with image enhancement strategies for practical deployment in FLF monitoring.The findings support the integration of preprocessing techniques to improve detection accuracy,offering a foundation for real-time FLF detection systems on edge devices or drones,particularly in regions like Indonesia. 展开更多
关键词 Histogram equalization YOLO forest and land fire detection deep learning
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An improved neighbourhood-based contrast limited adaptive histogram equalization method for contrast enhancement on retinal images
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作者 Arjuna Arulraj Jeya Sutha Mariadhason Reena Rose Ronjalis 《International Journal of Ophthalmology(English edition)》 2025年第12期2225-2236,共12页
AIM:To find the effective contrast enhancement method on retinal images for effective segmentation of retinal features.METHODS:A novel image preprocessing method that used neighbourhood-based improved contrast limited... AIM:To find the effective contrast enhancement method on retinal images for effective segmentation of retinal features.METHODS:A novel image preprocessing method that used neighbourhood-based improved contrast limited adaptive histogram equalization(NICLAHE)to improve retinal image contrast was suggested to aid in the accurate identification of retinal disorders and improve the visibility of fine retinal structures.Additionally,a minimal-order filter was applied to effectively denoise the images without compromising important retinal structures.The novel NICLAHE algorithm was inspired by the classical CLAHE algorithm,but enhanced it by selecting the clip limits and tile sized in a dynamical manner relative to the pixel values in an image as opposed to using fixed values.It was evaluated on the Drive and high-resolution fundus(HRF)datasets on conventional quality measures.RESULTS:The new proposed preprocessing technique was applied to two retinal image databases,Drive and HRF,with four quality metrics being,root mean square error(RMSE),peak signal to noise ratio(PSNR),root mean square contrast(RMSC),and overall contrast.The technique performed superiorly on both the data sets as compared to the traditional enhancement methods.In order to assess the compatibility of the method with automated diagnosis,a deep learning framework named ResNet was applied in the segmentation of retinal blood vessels.Sensitivity,specificity,precision and accuracy were used to analyse the performance.NICLAHE–enhanced images outperformed the traditional techniques on both the datasets with improved accuracy.CONCLUSION:NICLAHE provides better results than traditional methods with less error and improved contrastrelated values.These enhanced images are subsequently measured by sensitivity,specificity,precision,and accuracy,which yield a better result in both datasets. 展开更多
关键词 contrast limited adaptive histogram equalization retinal imaging image preprocessing contrast enhancement
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Mechanical properties and microstructure of as-cast AA 7050 processed by equal channel angular pressing combined with inter-pass aging treatment
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作者 LI Jian HE Tao +2 位作者 DU Xiang-yang JIA Dong-sheng VERESCHAKA Alexy 《Journal of Central South University》 2025年第5期1678-1696,共19页
In this study,the interaction between deformation and precipitates during multiple equal channel angular pressing(ECAP)deformations and inter-pass aging combination and its effect on the mechanical properties of 7050 ... In this study,the interaction between deformation and precipitates during multiple equal channel angular pressing(ECAP)deformations and inter-pass aging combination and its effect on the mechanical properties of 7050 aluminum alloy are studied.The result show that ECAP induces numerous substructures and dislocations,effectively promoting the precipitation of theηʹphase exhibiting a bimodal structure during inter-pass aging.Following inter-pass aging and subsequent ECAP,the decrease in grain size(4.8μm)is together with the increase in dislocation density(1.24×10^(15) m^(−2))due to the pinning effect of the precipitated phase.Simultaneously,the dislocation motion causes the second phase particles to become even finer and more diffuse.The synergistic effects of precipitation strengthening,fine grain strengthening,and dislocation strengthening collectively enhance the high strength of aluminum alloys,with ultimate tensile strength and yield strength reaching approximately 610 and 565 MPa,respectively.Meanwhile,ductility remains largely unchanged,primarily due to coordinated grain boundary sliding and the uniform and fine dispersion of second phase particles. 展开更多
关键词 equal channel angular pressing 7050 aluminum alloys inter-pass aging mechanical properties PRECIPITATES dislocation
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Gender Equality at the Forefront G20 provides an opportunity to address gender gap
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《ChinAfrica》 2025年第11期28-30,共3页
The Global Leaders’Meeting on Women was held in Beijing,the capital of China,on 13-14 October.South African Minister in the Presidency for Women,Youth and Persons with Disabilities Sindisiwe Chikunga,attended the eve... The Global Leaders’Meeting on Women was held in Beijing,the capital of China,on 13-14 October.South African Minister in the Presidency for Women,Youth and Persons with Disabilities Sindisiwe Chikunga,attended the event.ChinAfrica spoke with her in an exclusive interview about the messages she brought to the meeting,South Africa’s progress in women’s empowerment,how the G20 presidency can contribute to this cause,and China’s role.An edited excerpt of the interview follows. 展开更多
关键词 gender equality gender gap global leaders meeting womens empowerment South Africa PRESIDENCY G womens rights
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The Concretization of the Principle of Equality:A Hermeneutic Reconstruction of Article 33,Paragraph 4 of the Chinese Constitution
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作者 LIU Jianlong JIANG Yu(Translated) 《The Journal of Human Rights》 2025年第1期149-163,共15页
Traditional constitutional theory holds that Article 33,Paragraph 4 of the Chinese Constitution establishes the principle of the consistency of rights and obligations.However,with the evolution of constitutional theor... Traditional constitutional theory holds that Article 33,Paragraph 4 of the Chinese Constitution establishes the principle of the consistency of rights and obligations.However,with the evolution of constitutional theory and practice,its interpretation has shifted.It is increasingly viewed as a concretization of the principle of equality,although this perspective has not been thoroughly substantiated in academic circles.Upon closer analysis,interpreting this provision as the“consistency of rights and obligations”reveals several issues,including counterevidence from the constitutional drafting history,a lack of internal coherence,and a misalignment with the functions of the Constitution.By revisiting the specific context of this provision,it can be understood as an anti-privilege clause,serving as a special annotation of the equality principle.This approach enables a harmonious interpretation of this provision alongside other constitutional provisions. 展开更多
关键词 principle of the consistency of rights and obligations principle of equality anti-privilege
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Synchronous enhancement of corrosion resistance and mechanical properties of Mg-Zn-Ca alloys by grain refinement using equal channel angular pressing
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作者 Yi-zhuo WANG Xiao-ping LUO +6 位作者 Gang-xiao REN Hong-xia WANG Li-fei WANG Wei-li CHENG Hang LI Xiao-peng LU Kwang-seon SHIN 《Transactions of Nonferrous Metals Society of China》 2025年第6期1772-1786,共15页
To investigate the effect of microstructure evolution on corrosion behavior and strengthening mechanism of Mg-1Zn-1Ca(wt.%)alloys,as-cast Mg-1Zn-1Ca alloys were performed by equal channel angular pressing(ECAP)with 1 ... To investigate the effect of microstructure evolution on corrosion behavior and strengthening mechanism of Mg-1Zn-1Ca(wt.%)alloys,as-cast Mg-1Zn-1Ca alloys were performed by equal channel angular pressing(ECAP)with 1 and 4 passes.The corrosion behavior and mechanical properties of alloys were investigated by optical microscopy(OM),scanning electron microscopy(SEM),electron backscatter diffraction(EBSD),electrochemical tests,immersion tests and tensile tests.The results showed that mechanical properties improved after ECAP 1 pass;however,the corrosion resistance deteriorated due to high-density dislocations and fragmented secondary phases by ECAP.In contrast,synchronous improvement in the mechanical properties and corrosion resistance was achieved though grain refinement after ECAP 4 passes;fine grains led to a significant improvement in the yield strength,ultimate tensile strength,elongation,and corrosion rate of 103 MPa,223 MPa,30.5%,and 1.5843 mm/a,respectively.The enhanced corrosion resistance was attributed to the formation of dense corrosion product films by finer grains and the barrier effect by high-density grain boundaries.These results indicated that Mg-1Zn-1Ca alloy has a promising potential for application in biomedical materials. 展开更多
关键词 Mg−1Zn−1Ca alloy equal channel angular pressing grain refinement corrosion behavior mechanical properties
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Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics 被引量:11
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作者 P.Ao 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1073-1090,共18页
The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian dynamics in the present paper, has been found to be universally valid in biology. The statistical mechanics and thermodynamics... The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian dynamics in the present paper, has been found to be universally valid in biology. The statistical mechanics and thermodynamics, while enormous successful in physics, have been in an awkward situation of wanting a consistent dynamical understanding. Here we present from a formal point of view an exploration of the connection between thermodynamics and Darwinian dynamics and a few related topics. We first show that the stochasticity in Darwinian dynamics implies the existence temperature, hence the canonical distribution of Boltzmann-Gibbs type. In term of relative entropy the Second Law of thermodynamics is dynamically demonstrated without detailed balance condition, and is valid regardless of size of the system. In particular, the dynamical component responsible for breaking detailed balance condition does not contribute to the change of the relative entropy. Two types of stochastic dynamical equalities of current interest are explicitly discussed in the present approach: One is based on Feynman-Kac formula and another is a generalization of Einstein relation. Both are directly accessible to experimental tests. Our demonstration indicates that Darwinian dynamics represents logically a simple and straightforward starting point for statistical mechanics and thermodynamics and is complementary to and consistent with conservative dynamics that dominates the physical sciences. Present exploration suggests the existence of a unified stochastic dynamical framework both near and far from equilibrium. 展开更多
关键词 non-equilibrium processes Darwinian dynamics generalized Einstein relation absence of detailed balance stochastic dynamical equalities
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Nonequilibrium work equalities in isolated quantum systems 被引量:1
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作者 柳飞 欧阳钟灿 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第7期53-60,共8页
We briefly introduce the quantum Jarzynski and Bochkov-Kuzovlev equalities .in isolated quantum Hamiltonian sys- tems, including their origin, their derivations using a quantum Feynman-Kac formula, the quantum Crooks ... We briefly introduce the quantum Jarzynski and Bochkov-Kuzovlev equalities .in isolated quantum Hamiltonian sys- tems, including their origin, their derivations using a quantum Feynman-Kac formula, the quantum Crooks equality, the evolution equations governing the characteristic functions of the probability density functions for the quantum work, and recent experimental verifications. Some resultsare given here for the first time. We particularly emphasize the formally structural consistence between these quantum equalities and their classical counterparts, which are useful for understanding the existing equalities and pursuing new fluctuation relations in other complex quantum systems. 展开更多
关键词 nonequilibrium isolated quantum systems work equality probability density function of quantumwork quantum Feynman-Kac formula
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Smoothing Newton-Like Method for the Solution of Nonlinear Systems of Equalities and Inequalities 被引量:2
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作者 Liu Yang Yanping Chen Xiaojiao Tong 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第2期224-236,共13页
In this paper,we present a smoothing Newton-like method for solving nonlinear systems of equalities and inequalities.By using the so-called max function,we transfer the inequalities into a system of semismooth equalit... In this paper,we present a smoothing Newton-like method for solving nonlinear systems of equalities and inequalities.By using the so-called max function,we transfer the inequalities into a system of semismooth equalities.Then a smoothing Newton-like method is proposed for solving the reformulated system,which only needs to solve one system of linear equations and to perform one line search at each iteration. The global and local quadratic convergence are studied under appropriate assumptions. Numerical examples show that the new approach is effective. 展开更多
关键词 Nonlinear systems of equalities and inequalities semismooth function smoothingNewton method global convergence local quadratic convergence.
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CHEBYSHEV APPROXIMATION BY FUNCTIONS HAVING RESTRICTED RANGES WITH EQUALITIES
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作者 李冲 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1993年第1期57-66,共10页
In this paper, we establish a new type of alternation theory for more general restricted ranges Chebyshev approximation with equalities. The uniqueness and strong uniqueness theorems are given. Applying the results, w... In this paper, we establish a new type of alternation theory for more general restricted ranges Chebyshev approximation with equalities. The uniqueness and strong uniqueness theorems are given. Applying the results, we obtain the alternation theorem and uniqueness theorem for best coposilive approximation. 展开更多
关键词 Chebyshev APPROXIMATION generaized HAAR subspace RESTRICTED RANGES APPROXIMATION with equalities ALTERNATION strong uniqueness COPOSITIVE approximation.
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Ultrahigh strength and improved electrical conductivity in an aging strengthened copper alloy processed by combination of equal channel angular pressing and thermomechanical treatment 被引量:2
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作者 WANG Xu LI Zhou +1 位作者 MENG Xiang-peng XIAO Zhu 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第6期1823-1837,共15页
In this paper,equal channel angular pressing and thermomechanical treatment was employed to improve the strength and electrical conductivity of an aging strengthened Cu-Ti-Cr-Mg alloy,and the microstructure and proper... In this paper,equal channel angular pressing and thermomechanical treatment was employed to improve the strength and electrical conductivity of an aging strengthened Cu-Ti-Cr-Mg alloy,and the microstructure and properties of the alloy were investigated in detail.The results showed that the samples deformed by the combination of cryogenic equal channel angular pressing(ECAP)and rolling had good comprehensive properties after aging at 400℃.The tensile strength of the peak-aged and over-aged samples was 1120 MPa and 940 MPa,with their corresponding electrical conductivity of 14.7%IACS and 22.1%IACS,respectively.ECAP and cryogenic rolling introduced high density dislocations,leading to the inhibition of the softening effects and refinement of the grains.After a long time aging at 400℃,the alloy exhibited ultra-high strength with obvious increasing electrical conductivity.The high strength was attributed to the synergistic effect of work hardening,grain refinement strengthening and precipitation strengthening.The precipitation of a large amount of Ti atoms from the matrix led to the high electrical conductivity of the over-aged sample. 展开更多
关键词 Cu-Ti alloy equal channel angular pressing ROLLING aging treatment high strength
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Rank Equalities for Anti-involutory Matrices
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作者 WANG Shi-heng 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期311-316,共6页
Some rank equalities are established for anti-involutory matrices. In particular, we get the formulas for the rank of the difference, the sum and the commutator of anti-involutory matrices.
关键词 rank equality idempotent matrix involutory matrix anti-involutory matrix partitioned matrix generalized inverse COMMUTATOR
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Numerical Radius Inequalities for Sums and Products of Operators
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作者 Wasim Audeh 《Advances in Linear Algebra & Matrix Theory》 2019年第3期35-42,共8页
A numerical radius inequality due to Shebrawi and Albadawi says that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relati... A numerical radius inequality due to Shebrawi and Albadawi says that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then for all r≥1. We give sharper numerical radius inequality which states that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then ?where . Moreover, we give many numerical radius inequalities which are sharper than related inequalities proved recently, and several applications are given. 展开更多
关键词 Numeriacl RADIUS OPERATOR Norm OPERATOR Matrix INequalITY equalITY Offdiagonal Part
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Relating Optimization Problems to Systems of Inequalities and Equalities
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作者 H. W. Corley E. O. Dwobeng 《American Journal of Operations Research》 2020年第6期284-298,共15页
In quantitative decision analysis, an analyst applies mathematical models to make decisions. Frequently these models involve an optimization problem to determine the values of the decision variables, a system </spa... In quantitative decision analysis, an analyst applies mathematical models to make decisions. Frequently these models involve an optimization problem to determine the values of the decision variables, a system </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> of possibly non</span></span><span style="font-family:Verdana;">- </span><span style="font-family:Verdana;">li</span><span style="font-family:Verdana;">near inequalities and equalities to restrict these variables, or both. In this</span><span style="font-family:""><span style="font-family:Verdana;"> note, </span><span style="font-family:Verdana;">we relate a general nonlinear programming problem to such a system </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> in</span><span style="font-family:Verdana;"> such </span><span style="font-family:Verdana;">a way as to provide a solution of either by solving the other—with certain l</span><span style="font-family:Verdana;">imitations. We first start with </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> and generalize phase 1 of the two-phase simplex method to either solve </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> or establish that a solution does not exist. A conclusion is reached by trying to solve </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> by minimizing a sum of artificial variables subject to the system </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> as constraints. Using examples, we illustrate </span><span style="font-family:Verdana;">how this approach can give the core of a cooperative game and an equili</span><span style="font-family:Verdana;">brium for a noncooperative game, as well as solve both linear and nonlinear goal programming problems. Similarly, we start with a general nonlinear programming problem and present an algorithm to solve it as a series of systems </span><i><span style="font-family:Verdana;">S</span></i><span style="font-family:Verdana;"> by generalizing the </span></span><span style="font-family:Verdana;">“</span><span style="font-family:Verdana;">sliding objective</span><span style="font-family:Verdana;"> function </span><span style="font-family:Verdana;">method</span><span style="font-family:Verdana;">”</span><span style="font-family:Verdana;"> for</span><span style="font-family:Verdana;"> two-dimensional linear programming. An example is presented to illustrate the geometrical nature of this approach. 展开更多
关键词 OPTIMIZATION Inequalities and equalities Goal Programming GAMES Diophantine Equations
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PROBLEM OF EQUALITIES IN EIGENVALUE INEQUALITIES FOR PRODUCTS OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES
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作者 Xi Boyan(Inner Mongolia Teachers College for Nationalities,Tongliao 028043,PRC) 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2000年第S1期95-97,共3页
Let A∈C<sup>m×n</sup>,set eigenvalues of matrix A with |λ<sub>1</sub> (A)|≥|λ<sub>2</sub>(A)|≥…≥|λ<sub>n</sub>(A)|,write A≥0 if A is a positive semid... Let A∈C<sup>m×n</sup>,set eigenvalues of matrix A with |λ<sub>1</sub> (A)|≥|λ<sub>2</sub>(A)|≥…≥|λ<sub>n</sub>(A)|,write A≥0 if A is a positive semidefinite Hermitian matrix, and denote∧<sub>k</sub> (A)=diag (λ<sub>1</sub>(A),…,λ<sub>k</sub>(A)),∧<sub>(</sub>(n-k).(A)=diag (λ<sub>k+1</sub>(A),…,λ<sub>n</sub>(A))for any k=1, 2,...,n if A≥0. Denote all n order unitary matrices by U<sup>n×n</sup>.Problem of equalities to hold in eigenvalue inequalities for products of matrices 展开更多
关键词 AB In WANG PROBLEM OF equalities IN EIGENVALUE INequalities FOR PRODUCTS OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES
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Assessing the Spatial Equality of COVID Testing Sites Maintaining Zero COVID Policy
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作者 Muhammad Sajid Mehmood Gang Li +3 位作者 Shiyan Zhai Yaochen Qin Annan Jin Lan Li 《Journal of Geographic Information System》 2024年第3期183-200,共18页
Rapid and timely testing is essential to minimize the COVID-19 spread. Decision makers and policy planners need to determine the equal distribution and accessibility of testing sites. This study mainly examines the sp... Rapid and timely testing is essential to minimize the COVID-19 spread. Decision makers and policy planners need to determine the equal distribution and accessibility of testing sites. This study mainly examines the spatial equality of COVID-19 testing sites that maintain a zero COVID policy in Guangzhou City. The study has identified the spatial disparities of COVID testing sites, characteristics of testing locations, and accessibility. The study has obtained information on COVID testing sites in Guangzhou City and population data. Point pattern analyses, Euclidian distance and allocation, and network analyses are the main methods used to achieve the research objectives, and 1183 total COVID testing sites can be recognized in Guangzhou City. Results revealed that spatial disparities could be noticed over the study area. Testing locations of Guangzhou City are highly clustered. The most significant testing sites are located in Haizhu District, which has the third largest population. The highest population density can be identified in Yuexiu District. However, only 94 testing sites are located there. According to all the results, higher disparities can be identified, and a lack of testing sites is located in the north part of the study area. Some people in the northern part have to travel more than 10 km to reach a testing site. Finally, this paper suggests increasing the number of testing sites in the north and south parts of the study area and keeping the same distribution, considering the area, total population, and population density. This kind of research will be helpful to decision-makers in making proper decisions to maintain a zero COVID policy. 展开更多
关键词 COVID-19 Testing Sites Spatial Disparities Spatial equality Guangzhou City ACCESSIBILITY
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