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Fuzzy Modeling of Surficial Uranium Prospectivity in British Columbia(Canada)with a Weighted Fuzzy Algebraic Sum Operator 被引量:1
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作者 Emmanuel John M.Carranza 《Journal of Earth Science》 SCIE CAS CSCD 2021年第2期293-309,共17页
This paper demonstrates knowledge-guided fuzzy logic modeling of regional-scale surficial uranium(U)prospectivity in British Columbia(Canada).The deposits/occurrences of surficial U in this region vary from those in W... This paper demonstrates knowledge-guided fuzzy logic modeling of regional-scale surficial uranium(U)prospectivity in British Columbia(Canada).The deposits/occurrences of surficial U in this region vary from those in Western Australia and Namibia;thus,requiring innovative and carefully-thought techniques of spatial evidence generation and integration.As novelty,this papers introduces a new weighted fuzzy algebraic sum operator to combine certain spatial evidence layers.The analysis trialed several layers of spatial evidence based on conceptual mineral system model of surficial U in British Columbia(Canada)as well as tested various models of evidence integration.Non-linear weighted functions of(a)spatial closeness to U-enriched felsic igneous rocks was employed as U-source spatial evidence,(b)spatial closeness to paleochannels as fluid pathways spatial evidence,and(c)surface water U content as chemical trap spatial evidence.The best models of prospectivity created by integrating the layers of spatial evidence for U-source,pathways and traps predicted at least 85%of the known surficial U deposits/occurrences in>10%of the study region with the highest prospectivity fuzzy scores.The results of analyses demonstrate that,employing the known deposits/occurrences of surficial U for scrutinizing the spatial evidence layers and the final models of prospectivity can pinpoint the most suitable critical processes and models of data integration to reduce bias in the analysis of mineral prospectivity. 展开更多
关键词 fuzzy logic mineral systems surficial uranium fuzzy algebraic sum
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Some Properties of the Sum and Geometric Differences of Minkowski 被引量:1
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作者 Mashrabjon Mamatov Jalolxon Nuritdinov 《Journal of Applied Mathematics and Physics》 2020年第10期2241-2255,共15页
The sets of Minkowski algebraic sum and geometric difference are considered. The purpose of the research in this paper is to apply the properties of Minkowski sum and geometric difference to fractional differential ga... The sets of Minkowski algebraic sum and geometric difference are considered. The purpose of the research in this paper is to apply the properties of Minkowski sum and geometric difference to fractional differential games. This paper investigates the geometric properties of the Minkowski algebraic sum and the geometric difference of sets. Various examples are considered that calculate the geometric differences of sets. The results of the research are presented and proved as a theorem. At the end of the article, the results were applied to fractional differential games. 展开更多
关键词 Computational Geometry algebraic sums Geometric Differences
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Discrete integrable couplings associated with modified Korteweg-de Vries lattice and two hierarchies of discrete soliton equations 被引量:1
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作者 董焕河 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第5期1177-1181,共5页
A direct way to construct integrable couplings for discrete systems is presented by use of two semi-direct sum Lie algebras. As their applications, the discrete integrable couplings associated with modified Korteweg-d... A direct way to construct integrable couplings for discrete systems is presented by use of two semi-direct sum Lie algebras. As their applications, the discrete integrable couplings associated with modified Korteweg-de Vries (m-KdV) lattice and two hierarchies of discrete soliton equations are developed. It is also indicated that the study of integrable couplings using semi-direct sums of Lie algebras is an important step towards the complete classification of integrable couplings. 展开更多
关键词 discrete integrable system m-KdV lattice equation semi-direct sums of Lie algebras
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Hamiltonian Forms for a Hierarchy of Discrete Integrable Coupling Systems
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作者 XU Xi-Xiang YANG Hong-Xiang LU Rong-Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第12期1269-1275,共7页
A semi-direct sum of two Lie algebras of four-by-four matrices is presented,and a discrete four-by-fourmatrix spectral problem is introduced.A hierarchy of discrete integrable coupling systems is derived.The obtainedi... A semi-direct sum of two Lie algebras of four-by-four matrices is presented,and a discrete four-by-fourmatrix spectral problem is introduced.A hierarchy of discrete integrable coupling systems is derived.The obtainedintegrable coupling systems are all written in their Hamiltonian forms by the discrete variational identity.Finally,we prove that the lattice equations in the obtained integrable coupling systems are all Liouville integrable discreteHamiltonian systems. 展开更多
关键词 integrable lattice equation semi-direct sum of Lie algebra integrable coupling system discrete variational identity Hamiltonian form Liouville integrability
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INTEGRABLE COUPLINGS OF THE TB HIERARCHY AND ITS HAMILTONIAN STRUCTURE 被引量:1
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作者 Zhang Yu Dong Huanhe (College of Information Science and Engineering,Shandong University of Science and Technology,Qingdao 266510,Shandong) Li Zhu (College of Math.and Inform.Science,Xinyang Normal University,Xinyang 464000,Henan) 《Annals of Differential Equations》 2008年第1期112-116,共5页
In this paper,we obtain integrable couplings of the TB hierarchy using the new subalgebra of the loop algebra A.Then the Hamiltonian structure of the above system is given by the quadratic-form identity.
关键词 semi-direct sums of Lie algebras the TB hierarchy-integrable couplings quadratic-form identity Hamiltonian structure
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