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Journal Article 4

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Boolean function 1

Boolean logic algebra system 1

Clifford Fourier transform (CFT) 1

Clifford algebra 1

Order eigenvalue matrix 1

Sparse fast Clifford Fourier transform (SFCFT) 1

Sparse fast Fourier transform (sFFT) 1

Symmetric variable 1

Truth table 1

algebra equations 1

approximation space of generalization 1

concrete 1

crack opening displacement 1

fictitious crack cohesive force 1

protocol relation 1

rough classification algebra 1

rough quotient algebra 1

rough set 1

rough simple algebra 1

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Sparse fast Clifford Fourier transform Article

Rui WANG, Yi-xuan ZHOU, Yan-liang JIN, Wen-ming CAO

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 8, Pages 1131-1141 doi: 10.1631/FITEE.1500452

Abstract: The Clifford Fourier transform (CFT) can be applied to both vector and scalar fields.

Keywords： Sparse fast Fourier transform (sFFT) Clifford Fourier transform (CFT) Sparse fast Clifford Fouriertransform (SFCFT) Clifford algebra

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Approximation Space of Generalization and Rough Classification Algebra

Liu Yonghong

Strategic Study of CAE 2006, Volume 8, Issue 3, Pages 39-48

Abstract: set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc. , and a guess is also proposed.Based on the protocol relation, the rough quotient algebra and the rough subalgebra are constructed.

Keywords： approximation space of generalization rough set rough classification algebra protocol relation roughsimple algebra rough quotient algebra rough subalgebra

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Calculation of Cohesive Stress Along the Fictitious Crack Zone in Concrete Materials

Xu Shilang,Wang Limin

Strategic Study of CAE 2002, Volume 4, Issue 5, Pages 53-58

Abstract: Similarly, two algebra equations for solving the two undefined parameters also for controlling the cohesive

Keywords： concrete crack opening displacement fictitious crack cohesive force algebra equations

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An algorithm for identifying symmetric variables based on the order eigenvalue matrix Article

Xiao-hua LI, Ji-zhong SHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10, Pages 1644-1653 doi: 10.1631/FITEE.1601052

Abstract: To simplify the process for identifying 12 types of symmetric variables in Boolean functions, we propose a new symmetry detection algorithm based on minterm expansion or the truth table. First, the order eigenvalue matrix based on a truth table is defined according to the symmetry definition of a logic variable. By analyzing the constraint conditions of the order eigenvalue matrix for 12 types of symmetric variables, an algorithm is proposed for identifying symmetric variables of the Boolean function. This algorithm can be applied to identify the symmetric variables of Boolean functions with or without don’t-care terms. The proposed method avoids the restriction by the number of logic variables of the graphical method, spectral coefficient methods, and AND-XOR expansion coefficient methods, and solves the problem of completeness in the fast compu-tation method. The algorithm has been implemented in C language and tested on MCNC91 benchmarks. The application results show that, compared with the traditional methods, the new algorithm is an optimal detection method in terms of the applicability of the number of logic variables, the Boolean function including don’t-care terms, detection type, and complexity of the identification process.

Keywords： Boolean function Symmetric variable Boolean logic algebra system Order eigenvalue matrix Truth table