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SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS ON THEIR VARIABLES
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作者 武传坤 《Journal of Electronics(China)》 1993年第3期217-226,共10页
There are many kinds of special relationships between multiple-valued logical func-tions and their variables, and they are difficult to be judged from their expressions. In thispaper, some sufficient and necessary con... There are many kinds of special relationships between multiple-valued logical func-tions and their variables, and they are difficult to be judged from their expressions. In thispaper, some sufficient and necessary conditions of the independence and statistical independenceof multiple-valued logical functions on their variables are given. Some conditions of algebraicindependence of multiple-valued logical functions on some of their variables and the way to de-generate a function to the greatest extent are proposed, and some applications of these resultsare indicated. All the results are studied by using Chrestenson spectral techniques. 展开更多
关键词 multiple-valued logical function Chrestenson SPECTRUM DEGENERATION Correlationimmunity Linear code
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CIRCUIT TESTABLE DESIGN AND UNIVERSAL TEST SETS FOR MULTIPLE-VALUED LOGIC FUNCTIONS
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作者 Pan Zhongliang 《Journal of Electronics(China)》 2007年第1期138-144,共7页
The circuit testable realizations of multiple-valued functions are studied in this letter. First of all,it is shown that one vector detects all skew faults in multiplication modulo circuits or in addi-tion modulo circ... The circuit testable realizations of multiple-valued functions are studied in this letter. First of all,it is shown that one vector detects all skew faults in multiplication modulo circuits or in addi-tion modulo circuits,and n+1 vectors detect all skew faults in the circuit realization of multiple-valued functions with n inputs. Secondly,min(max) bridging fault test sets with n+2 vectors are pre-sented for the circuit realizations of multiple-valued logic functions. Finally,a tree structure is used instead of cascade structure to reduce the delay in the circuit realization,it is shown that three vec-tors are sufficient to detect all single stuck-at faults in the tree structure realization of multiple-valued logic functions. 展开更多
关键词 multiple-valued logic Testable realization Single faults Bridging faults Skew faults.
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Analysis of a Class of Logical Functions over Galois and Z_m Rings 被引量:1
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作者 陈卫红 曾洪杰 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期105-110,共6页
In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the characte... In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the character spectrum of f(x,y) and the character speetrum of q(x),h(x) and the relationship between the cryptographic properties of f(x,y) and the cryptographic properties of h(x). 展开更多
关键词 logical function character spectrum cryptographic properties
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FAULT DETECTION FOR MULTIPLE-VALUED LOGIC CIRCUITS WITH FANOUT-FREE 被引量:1
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作者 PanZhongliang 《Journal of Electronics(China)》 2004年第5期376-383,共8页
The single fault and multiple fault detections for multiple-valued logic circuits are studied in this paper. Firstly, it is shown that the cardinality of optimal single fault test set for fanout-free m-valued circuits... The single fault and multiple fault detections for multiple-valued logic circuits are studied in this paper. Firstly, it is shown that the cardinality of optimal single fault test set for fanout-free m-valued circuits with n primary inputs is not more than n + 1, for linear tree circuits is two, and for multiplication modulo circuits is two if n is an odd number or if n is an even number and m > 3, where the optimal test set of a circuit has minimal number of test vectors. Secondly,it is indicated that the cardinality of optimal multiple fault test set for linear tree circuits with n primary inputs is 1 + [n/(m - 1)], for multiplication modulo circuits is n+ 1, for fanout-free circuits that consist of 2-input linear tree circuits and 2-input multiplication modulo circuits is not greater than n+ 1, where [x] denotes the smallest integer greater than or equal to x. Finally,the single fault location approaches of linear tree circuits and multiplication modulo circuits are presented, and all faults in the two types of circuits can be located by using a test set with n + 1 vectors. 展开更多
关键词 multiple-valued logic Digital circuits Fault detection Single fault Multiple faults
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HAAR EXPANSIONS OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR LOGICAL DERIVATIVES 被引量:1
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作者 Sha Zhen Chen Gang Zhejiang University,China 《Analysis in Theory and Applications》 1993年第4期73-88,共16页
In this paper,we study a special class of fractal interpolation functions,and give their Haar-wavelet expansions.On the basis of the expansions,we investigate the H(o|¨)lder smoothness of such functions and their... In this paper,we study a special class of fractal interpolation functions,and give their Haar-wavelet expansions.On the basis of the expansions,we investigate the H(o|¨)lder smoothness of such functions and their logical derivatives of order α. 展开更多
关键词 HAAR EXPANSIONS OF A CLASS OF FRACTAL INTERPOLATION functionS AND THEIR logical DERIVATIVES der HAAR FIF
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LOGICAL SYNTHESIS OF MOLTIVALUED SYMMETRIC FUNCTION BASED ON BINARY FULL ADDERS
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作者 Chen Xiexiong Shen Jizhong(Hangzhou University, Hangzhou 310028) 《Journal of Electronics(China)》 1996年第4期360-365,共6页
This paper discusses the definition and properties of multivalued symmetric functions, points out that a multivalued symmetric function can be decomposed according to the value of the function j. The subfunction Lj co... This paper discusses the definition and properties of multivalued symmetric functions, points out that a multivalued symmetric function can be decomposed according to the value of the function j. The subfunction Lj corresponding to j must be a symmetric function, and it may be expressed as the sum of products form of degenerated multivalued fundamental symmetric functions. Based on this consideration, the circuit realization for the multivalued symmetric functions based on full adders is proposed. 展开更多
关键词 Multivalued logic SYMMETRIC functionS logic DESIGN
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Spectral Characteristics of the Best Affine Approach of Multi-Output m-Valued Logical Functions
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作者 ZHAO Yaqun YING Dinghai FENG Dengguo 《Wuhan University Journal of Natural Sciences》 CAS 2007年第1期185-188,共4页
This paper discusses the best affine approach (BAA) of multi-output m-valued logical functions. First, it gives the spectra of rate of accordance between multi-output m-valued logical functions and their affine func... This paper discusses the best affine approach (BAA) of multi-output m-valued logical functions. First, it gives the spectra of rate of accordance between multi-output m-valued logical functions and their affine functions, then analyzes the BAA of multi-output m-valued logical functions and finally gives the spectral characteristics of BAA of multi-output m-valued logical functions. 展开更多
关键词 multi-output m-valued logical functions linear spectrum cyclic spectrum BAA(best affine approach)
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Design of AB^2 in Galois Fields Based on Multiple-Valued Logic
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作者 Haixia Wu Long He +2 位作者 Xiaoran Li Yilong Bai Minghao Zhang 《Journal of Beijing Institute of Technology》 EI CAS 2019年第4期764-769,共6页
A new AB^2 operation in Galois Field GF(24)is presented and its systolic realization based on multiple-valued logic(MVL)is proposed.The systolic structure of the operation employs multiple-valued current mode(MVCM)by ... A new AB^2 operation in Galois Field GF(24)is presented and its systolic realization based on multiple-valued logic(MVL)is proposed.The systolic structure of the operation employs multiple-valued current mode(MVCM)by using dynamic source-coupled logic(SCL)to reduce the transistor and wire counts,and the initial delay.The performance is evaluated by HSPICE simulation with 0.18.μm CMOS technology.A comparison is conducted between our proposed implementation and those reported in the literature.The transistor counts,the wire counts and the initial delay in our MVL design show savings of about 23%,45%,and 72%,in comparison with the corresponding binary CMOS implementation.The systolic architecture proposed is simple,regular,and modular,well suited for very large scale integration(VLSI)implementation.The combination of MVCM circuits and relevant algorithms based on MVL seems to be a potential solution for high performance arithmetic operations in GF(2^k). 展开更多
关键词 multiple-valued logic(MVL) AB^2 operation Galois Fields
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Logical Function Decomposition Method for Synthesis of Digital Logical System Implemented with Programmable Logic Devices (PLD)
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作者 Mihai Grigore Timis Alexandru Valachi +1 位作者 Alexandru Barleanu Andrei Stan 《Circuits and Systems》 2013年第7期472-477,共6页
The paper consists in the use of some logical functions decomposition algorithms with application in the implementation of classical circuits like SSI, MSI and PLD. The decomposition methods use the Boolean matrix cal... The paper consists in the use of some logical functions decomposition algorithms with application in the implementation of classical circuits like SSI, MSI and PLD. The decomposition methods use the Boolean matrix calculation. It is calculated the implementation costs emphasizing the most economical solutions. One important aspect of serial decomposition is the task of selecting “best candidate” variables for the G function. Decomposition is essentially a process of substituting two or more input variables with a lesser number of new variables. This substitutes results in the reduction of the number of rows in the truth table. Hence, we look for variables which are most likely to reduce the number of rows in the truth table as a result of decomposition. Let us consider an input variable purposely avoiding all inter-relationships among the input variables. The only available parameter to evaluate its activity is the number of “l”s or “O”s that it has in the truth table. If the variable has only “1” s or “0” s, it is the “best candidate” for decomposition, as it is practically redundant. 展开更多
关键词 Combinational CIRCUITS Static HAZARD logic Design BOOLEAN functions logical DECOMPOSITIONS
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Logical-Structure Modeling for Conceptual Design
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作者 孙正兴 张福炎 《Journal of Southeast University(English Edition)》 EI CAS 2001年第1期59-65,共7页
Based on the definition of a logic structure feature to relate logically functional requirements to geometric representation independent upon detailed geometric representation, this paper presents an idea of logical s... Based on the definition of a logic structure feature to relate logically functional requirements to geometric representation independent upon detailed geometric representation, this paper presents an idea of logical structure modeling for computer aided conceptual design and makes attempt to establish a representation formalism of logic structure modeling. The definition and representation of logical structure feature are given and an assembly module definition for supporting top down conceptual design is also proposed. The proposed scheme contributes to several aspects of conceptual design research, especially to provide elementarily a formal methodology for computer aided conceptual design system development and operation. 展开更多
关键词 conceptual design function form transformation logic structure feature representation formalism
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Fuzzy logic controller design with unevenly-distributed membership function for high performance chamber cooling system 被引量:2
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作者 曹健鹏 Seok-Kwon Jeong Young-Mi Jung 《Journal of Central South University》 SCIE EI CAS 2014年第7期2684-2692,共9页
Fuzzy logic controller adopting unevenly-distributed membership function was presented with the purpose of enhancing performance of the temperature control precision and robustness for the chamber cooling system.Histo... Fuzzy logic controller adopting unevenly-distributed membership function was presented with the purpose of enhancing performance of the temperature control precision and robustness for the chamber cooling system.Histogram equalization and noise detection were performed to modify the evenly-distributed membership functions of error and error change rate into unevenly-distributed membership functions.Then,the experimental results with evenly and unevenly distributed membership functions were compared under the same outside environment conditions.The experimental results show that the steady-state error is reduced around 40% and the noise disturbance is rejected successfully even though noise range is 60% of the control precision range.The control precision is improved by reducing the steady-state error and the robustness is enhanced by rejecting noise disturbance through the fuzzy logic controller with unevenly-distributed membership function.Moreover,the system energy efficiency and lifetime of electronic expansion valve(EEV) installed in chamber cooling system are improved by adopting the unevenly-distributed membership function. 展开更多
关键词 chamber cooling system fuzzy logic controller unevenly-distributed membership function steady-state error reduction ROBUSTNESS variable speed refrigeration system
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Multi-agent system motion planning under temporal logic specifications and control barrier function 被引量:1
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作者 Xinyuan HUANG Li LI Jie CHEN 《Control Theory and Technology》 EI CSCD 2020年第3期269-278,共10页
In this paper,w e provide a novel scheme to solve the motion planning problem of multi-agent systems under high-level task specifications.First,linear temporal logic is applied to express the global task specification... In this paper,w e provide a novel scheme to solve the motion planning problem of multi-agent systems under high-level task specifications.First,linear temporal logic is applied to express the global task specification.Then an efficient and decentralized algorithm is proposed to decom pose it into local tasks.M oreover,w e use control barrier function to synthesize the local controller for each agent under the linear temporal logic motion plan with safety constraint.Finally,simulation results show the effectiveness and efficiency of our proposed scheme. 展开更多
关键词 Temporal logic multi-agent system formal methods control barrier function
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Uncertainties in estimation of extrapolated annual occurence rate of earthquakes using logical tree
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作者 杨智娴 张培震 郑月君 《Acta Seismologica Sinica(English Edition)》 CSCD 1998年第2期85-94,共10页
he logical tree methods are used for evaluate quantitatively relationship between frequency and magnitude, and deduce uncertainties of annual occurrence rate of earthquakes in the periods of lower magnitude earthquake... he logical tree methods are used for evaluate quantitatively relationship between frequency and magnitude, and deduce uncertainties of annual occurrence rate of earthquakes in the periods of lower magnitude earthquake. The uncertainties include deviations from the self-similarity of frequency-magnitude relations, different fitting methods, different methods obtained the annual occurrence rate, magnitude step used in fitting, start magnitude, error of magnitude and so on. Taking Xianshuihe River source zone as an example, we analyze uncertainties of occurrence rate of earthquakes M4, which is needed in risk evaluation extrapolating from frequency-magnitude relations of stronger earthquakes. The annual occurrence rate of M4 is usually required for seismic hazard assessment.The sensitivity analysis and examinations indicate that, in the same frequencymagnitude relations fitting method, the most sensitive factor is annual occurrence rate, the second is magnitude step and the following is start magnitude. Effect of magnitude error is rather small.Procedure of estimating the uncertainties is as follows:①Establishing a logical tree described uncertainties in frequencymagnitude relations by available data and knowledge about studied region.② Calculating frequencymagnitude relations for each end branches. ③ Examining sensitivities of each uncertainty factors, amending structure of logical tree and adjusting original weights. ④ Recalculating frequencymagnitude relations of end branches and complementary cumulative distribution function (CCDF) in each magnitude intervals.⑤ Obtaining an annual occurrence rate of M4 earthquakes under given fractiles.Taking fractiles as 20% and 80%, annual occurrence rate of M 4 events in Xianshuihe seismic zone is 0.643 0. The annual occurrence rate is 0.631 8 under fractiles of 50%, which is very close to that under fractiles 20% and 80%. 展开更多
关键词 logical tree uncertainty frequency-magnitude relation seismic hazard assessment Xi-anshuihe source region complementary cumulative distribution function (CCDF)
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CONCEPTUAL MODELING BASED ON LOGICAL EXPRESSION AND EVOLVEMENT
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作者 YI Guodong ZHANG Shuyou TAN Jianrong JI Yangjian 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第1期64-68,共5页
Aiming at the problem of abstract and polytype information modeling in product conceptual design, a method of conceptual modeling based on logical expression and evolvement is presented. Based on the logic expressions... Aiming at the problem of abstract and polytype information modeling in product conceptual design, a method of conceptual modeling based on logical expression and evolvement is presented. Based on the logic expressions of the product conceptual design information, a fimction/logic/strucmre mapping model is set up. First, the fimction semantics is transformed into logical expressions through fimction/logic mapping. Second, the methods of logical evolvement are utilized to describe the fimction analysis, fimction/strucmre mapping and structure combination. Last, the logical structure scheme is transformed into geometrical sketch through logic/structure mapping. The conceptual design information and modeling process are described uniformly with logical methods in the model, and an effective method for computer aided conceptual design based on the model is implemented. 展开更多
关键词 Conceptual modeling function/logic/structure mapping logical evolvement
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FAULT DETECTION TEST SET FOR TESTABLE REALIZATIONS OF LOGIC FUNCTIONS WITH ESOP EXPRESSIONS
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作者 Pan Zhongliang Chen Guangju 《Journal of Electronics(China)》 2007年第2期238-244,共7页
The circuit testable realization and its fault detection for logic functions with ESOP (EXOR-Sum-Of-Products) expressions are studied. First of all, for the testable realization by using XOR gate cascade, a test set... The circuit testable realization and its fault detection for logic functions with ESOP (EXOR-Sum-Of-Products) expressions are studied. First of all, for the testable realization by using XOR gate cascade, a test set with 2n + m + 1 vectors for the detections of AND bridging faults and a test set with 2n + m vectors for the detections of OR bridging faults are presented. Secondly, for the testable realization by using )(OR gate tree, a test set with 2n + m vectors for the detections of AND bridging faults and a test set with 3n + m + 1 vectors for the detections of OR bridging faults are presented. Finally, a single fault test set with n + 5 vectors for the XOR gate tree realization is presented. Where n is the number of input variables and m is the number of product terms in a logic function. 展开更多
关键词 logic functions Testable realization Fault detection Single faults Bridging faults
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Ingredients-based Methodology and Fuzzy Logic Combined Short-Duration Heavy Rainfall Short-Range Forecasting:An Improved Scheme 被引量:1
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作者 TIAN Fu-you XIA Kun +2 位作者 SUN Jian-hua ZHENG Yong-guang HUA Shan 《Journal of Tropical Meteorology》 SCIE 2024年第3期241-256,共16页
Short-duration heavy rainfall(SHR),as delineated by the National Meteorological Center of the China Me-teorological Administration,is characterized by hourly rainfall amounts no less than 20.0 mm.SHR is one of the mos... Short-duration heavy rainfall(SHR),as delineated by the National Meteorological Center of the China Me-teorological Administration,is characterized by hourly rainfall amounts no less than 20.0 mm.SHR is one of the most common convective weather phenomena that can cause severe damage.Short-range forecasting of SHR is an important part of operational severe weather prediction.In the present study,an improved objective SHR forecasting scheme was developed by adopting the ingredients-based methodology and using the fuzzy logic approach.The 1.0°×1.0°National Centers for Environmental Prediction(NCEP)final analysis data and the ordinary rainfall(0.1-19.9 mm h-1)and SHR observational data from 411 stations were used in the improved scheme.The best lifted index,the total precipitable water,the 925 hPa specific humidity(Q 925),and the 925 hPa divergence(DIV 925)were selected as predictors based on objective analysis.Continuously distributed membership functions of predictors were obtained based on relative frequency analysis.The weights of predictors were also objectively determined.Experiments with a typhoon SHR case and a spring SHR case show that the main possible areas could be captured by the improved scheme.Verification of SHR forecasts within 96 hours with NCEP global forecasts 1.0°×1.0°data initiated at 08:00 Beijing Time during the warm seasons in 2015 show the results were improved from both deterministic and probabilistic perspectives.This study provides an objectively feasible choice for short-range guidance forecasts of SHR.The scheme can be applied to other convective phenomena. 展开更多
关键词 ingredients-based methodology fuzzy logic approach probability of short-duration heavy rainfall(SHR) improved forecasting scheme objectively obtained membership functions
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运行时保证技术的研究现状与发展综述 被引量:1
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作者 董磊 王琦 +1 位作者 陈曦 刘嘉琛 《计算机应用》 北大核心 2025年第3期1003-1015,共13页
人工智能(AI)、大数据、云计算等先进技术发展突飞猛进的同时,它们自身具有的难解释、难认证等问题限制了它们在各行业的实际应用。而运行时保证(RTA)技术通过监控系统状态实现了功能之间的切换,化“复杂”为“简单”,初步解决了一些复... 人工智能(AI)、大数据、云计算等先进技术发展突飞猛进的同时,它们自身具有的难解释、难认证等问题限制了它们在各行业的实际应用。而运行时保证(RTA)技术通过监控系统状态实现了功能之间的切换,化“复杂”为“简单”,初步解决了一些复杂系统行为难预测、难解释、不安全、非预期结果的问题,在未来有着广阔的发展前景。因此,对RTA的研究现状与发展进行综述,为研究者了解最新的RTA技术研究动态、发展趋势提供参考。首先,回顾RTA技术的发展历程;其次,在描述RTA的基本原理架构以及切换逻辑的基础上,对当前RTA在智能航空、无人机(UAV)、智能航天和自动驾驶汽车领域中及信息物理系统(CPS)和安全强化学习上的应用研究现状进行系统性梳理;最后,对RTA技术的发展前景进行讨论。 展开更多
关键词 运行时保证 复杂功能 切换逻辑 替换认证 智能航空
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认识中国共产党政治功能的三重逻辑 被引量:2
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作者 李华胤 《河北学刊》 北大核心 2025年第2期30-42,共13页
政治功能是政党政治的重要议题,也是认识政党特性的重要基础。与西方国家政党的单一性功能相比,中国共产党的政治功能内容丰富、内涵深刻,包括政治领导、政治组织、政治动员、政治宣传和政治凝聚等。中国共产党的政治功能是马克思主义... 政治功能是政党政治的重要议题,也是认识政党特性的重要基础。与西方国家政党的单一性功能相比,中国共产党的政治功能内容丰富、内涵深刻,包括政治领导、政治组织、政治动员、政治宣传和政治凝聚等。中国共产党的政治功能是马克思主义政党理论与中国社会、中国革命以及中国现代国家建构和建设相结合而不断发展出来的政治特质。中国共产党独特的政治功能是由马克思主义政党理论、中国现代国家建设的历史进程以及中国式现代化实践的现实国情所决定的。认识中国共产党的政治功能要遵循理论、历史和实践三重逻辑。这三重逻辑有机联系,共同诠释了中国共产党政治功能的独特性与先进性。从三重逻辑深刻认识中国共产党的政治功能,可以为“增进党的政治功能”和“建设长期执政的马克思主义政党”的新时代实践提供认识论支撑。 展开更多
关键词 中国共产党 政治功能 认识逻辑 理论内涵
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生命延续、信仰坚守与事业开创:论红色档案记忆资源育人功能实现的伦理逻辑 被引量:1
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作者 丁华东 项欣溢 《档案与建设》 2025年第1期43-52,共10页
红色档案记忆资源是培育革命共同体及其接班人的生动素材,其开发利用活动以红色生命延续、信仰坚守和事业开创的伦理逻辑塑就红色生命共同体、信仰共同体和事业共同体,以此实现革命共同体及其接班人的接续发展。红色档案记忆资源开发在... 红色档案记忆资源是培育革命共同体及其接班人的生动素材,其开发利用活动以红色生命延续、信仰坚守和事业开创的伦理逻辑塑就红色生命共同体、信仰共同体和事业共同体,以此实现革命共同体及其接班人的接续发展。红色档案记忆资源开发在生命共同体中以代际记忆互渗、意识同一和基因赓续,实现革命共同体代际传承与绵延;在信仰共同体中契合人类理性愿景、坚定国家政治追求、坚持党的初心使命,以实现革命共同体信仰维系与坚守;在事业共同体中继承先辈成就、践行先辈遗志、开创事业新篇,以实现革命共同体事业继承与开创。在三重伦理机理的相互作用下,红色档案记忆资源得以培育具备家国情怀的革命事业接班人。 展开更多
关键词 红色档案 记忆资源 育人功能 革命共同体 伦理逻辑
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基于GT-CA的铁路继电电路逻辑仿真方法研究
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作者 杨明 马亮 +1 位作者 郭进 于楫玉 《中国铁道科学》 北大核心 2025年第4期210-221,共12页
针对现有继电电路分析过程的复杂性和不透明性,以及大规模电路分析困难的问题,提出基于图论(GT)和元胞自动机(CA)的铁路继电电路逻辑功能仿真方法。首先,对继电电路进行形式化描述,并引入短电路概念以简化电路结构;其次,制定将继电电路... 针对现有继电电路分析过程的复杂性和不透明性,以及大规模电路分析困难的问题,提出基于图论(GT)和元胞自动机(CA)的铁路继电电路逻辑功能仿真方法。首先,对继电电路进行形式化描述,并引入短电路概念以简化电路结构;其次,制定将继电电路转化为有向图的规则,并基于基尔霍夫电流定律设计有向图方向的判断规则,构建继电电路的元胞自动机模型并制定其演化规则;最后,通过实际继电电路的测试案例,展示电路的动态执行过程,并与预期执行结果进行对比,以验证仿真方法的正确性和有效性。结果表明:4种测试场景下的仿真过程及结果与预期效果一致,基于GT-CA的铁路继电电路逻辑仿真方法具备准确实现铁路继电电路逻辑功能仿真的能力,可为铁路继电电路的设计校验和故障查找提供理论参考和技术支撑。 展开更多
关键词 铁路继电电路 图论 元胞自动机 逻辑功能仿真
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