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Oriented two-dimensional circuits

1981
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Discrete Mathematics
*

%oato@&rath~r than top@@cal lines; when an n-

doi:10.1016/0012-365x(81)90162-x
fatcat:5p5mfs7tqjdyhp27m4uxvgph5u
*circuit*is defined for*oriented*~~plex&s *as a. %ruc@re achieved .by a certain minimization process? ... The natural generalization of a direted graph is an*oriented*cxxnp& a fuildamental concept in algebraic topology. Our..study of such qmiplms foIlq*s comt. ... A complex K is constructed from*two*complexes 1ik.e I.+ and the required*oriented*'t-*circuit*is then defined. ...##
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Design-Oriented Two-Stage Surrogate Modeling of Miniaturized Microstrip Circuits with Dimensionality Reduction

2020
*
IEEE Access
*

INDEX TERMS Microwave design, compact

doi:10.1109/access.2020.3006708
fatcat:mut5vvrzobc4hcnnlbydps2pda
*circuits*, surrogate modeling, domain confinement, principal component analysis,*dimensionality*reduction. ... Notwithstanding, a construction of approximation models for microwave components is hindered by the*dimensionality*issues as well as high nonlinearity of system characteristics. ... The visualization is provided assuming three-*dimensional*parameter space and*two*-*dimensional*objective space (cf. ...##
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Geometric Structure behind Duality and Manifestation of Self-Duality from Electrical Circuits to Metamaterials

2019
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Symmetry
*

In electromagnetic systems, duality is manifested in various forms:

doi:10.3390/sym11111336
fatcat:mpuwegonxrafbdxozbzwonumvu
*circuit*, Keller–Dykhne, electromagnetic, and Babinet dualities. ... Figure 12 . 12 Outer-*oriented*components of an inner-*oriented*edge in a*two*-*dimensional*plane. ... Figure 7 . 7*Two*types of*orientation*: (a) inner and (b) outer*orientation*of a surface in a three-*dimensional*space. ...##
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Page 540 of American Mathematical Society. Transactions of the American Mathematical Society Vol. 25, Issue 4
[page]

1923
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American Mathematical Society. Transactions of the American Mathematical Society
*

7,-; when both are immersed in an n-

*dimensional**oriented*manifold. ... With certain conventions as to sign this number represents the excess of the number of positive over the number of negative intersections of a k-*dimensional**circuit*7, with an (n—)-*dimensional**circuit*...##
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Nearly tight bounds on the number of Hamiltonian circuits of the hypercube and generalizations

2009
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Information Processing Letters
*

As a consequence, if M d is the number of perfect matchings and H d is the number of Hamiltonian

doi:10.1016/j.ipl.2008.10.015
fatcat:nswhoqrmcffknfaetcsjonc2ge
*circuits*of the d-*dimensional*hypercube, then M 4 d−2 ≤ H d ≤ M 2 d /4. ... We conjecture that for every perfect matching M of the d-*dimensional*n-vertex hypercube, d ≥ 2, there exists a second perfect matching M such that the union of M and M forms a Hamiltonian*circuit*of the ... For Hamiltonian*circuits*, the bound follows by choosing M 1 and M 2 forming the*circuit*in the*two*possible orders and dividing by*two*. ...##
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The Intersection Numbers

1923
*
Transactions of the American Mathematical Society
*

r"_fc when both are immersed in an n-

doi:10.2307/1989306
fatcat:ayzeirmqcbesziuiv24naomfwu
*dimensional**oriented*manifold. ... following*two*conventions will be followed: (1) if Ao Ax • • • Ak denotes a given*oriented*Zc-cell (k = 1,2, ..., n) any even permutation of A9 Ax ••• Ak denotes the same*oriented*ft-cell and any odd ... ¿=i It should be observed that these formulas cannot be obtained by reducing the formulas of § 10, modulo 2, because the formulas of the present section take account of non-*orientable**circuits*which do ...##
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The intersection numbers

1923
*
Transactions of the American Mathematical Society
*

r"_fc when both are immersed in an n-

doi:10.1090/s0002-9947-1923-1501259-6
fatcat:sc6r23iu3na2bda5bd23wopexe
*dimensional**oriented*manifold. ... following*two*conventions will be followed: (1) if Ao Ax • • • Ak denotes a given*oriented*Zc-cell (k = 1,2, ..., n) any even permutation of A9 Ax ••• Ak denotes the same*oriented*ft-cell and any odd ... ¿=i It should be observed that these formulas cannot be obtained by reducing the formulas of § 10, modulo 2, because the formulas of the present section take account of non-*orientable**circuits*which do ...##
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Evaluation of Hardware Oriented MRCoHOG using Logic Simulation

2017
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Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications
*

In this paper, a hardware

doi:10.5220/0006165803410345
dblp:conf/visapp/YamasakiOSKYET17
fatcat:zsnctyy5wfgabdxrych3oftrka
*oriented*MRCoHOG is proposed. ... Moreover, MRCoHOG is implemented in a digital*circuit*with the proposed method. ... Figure 2 : 2*Two*-*dimensional*histogram on CoHOG. Figure 3 : 3*Two*-*dimensional*histogram on MRCoHOG. ...##
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Partitions of Points into Simplices withk-dimensional Intersection. Part II: Proof of Reay's Conjecture in Dimensions 4 and 5

2001
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European journal of combinatorics (Print)
*

. , X m such that m i=1 conv X i is at least k-

doi:10.1006/eujc.2000.0494
fatcat:emh2rufztvg5jcgahfdbefltby
*dimensional*. Using the tools developed in [13] and*oriented*matroid theory, we prove this conjecture for d = 4 and d = 5. ... How about, to that end, we introduce the notion of a k-lopsided*oriented*matroid and we characterize these combinatorial objects for certain values of k. ... Case 3. k = 3. 4-positive independence and*two*-*dimensional*intersection now imply |S i | + |S j | ≥ 8 for all i = j, hence |S i | = 4 for all i. ...##
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On Embedding a Qualitative Representation in a Two-Dimensional Plane

2008
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Spatial Cognition and Computation
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This paper discusses embedding in a

doi:10.1080/13875860801944887
fatcat:w26ux7dxqvcx7b3wh34urwmbne
*two*-*dimensional*plane a symbolic representation for spatial data using the simple objects, points(P ), lines(L),*circuits*(C) and areas(A). ... We also give an algorithm for drawing the figure of the PLCA expression that satisfies this condition in a*two*-*dimensional*plane and prove its correctness. ... = {c 0 } a 1 .*circuits*= {c 1 } a 2 .*circuits*= {c 2 , c 3 }*Orientation*of a*Circuit*Each*circuit*of a planar PLCA expression e has an*orientation*of inner or outer. ...##
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Design and Application of a NEW Seven-Dimensional Hyperchaotic System

2014
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International Journal of Control and Automation
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Because the chaotic characteristics of the hyperchaotic system is more complex, so design a higher

doi:10.14257/ijca.2014.7.4.35
fatcat:xymlz5tn3zflpgddt5xbzw5pdq
*dimensional*hyperchaotic system has become a new*orientation*of the chaos theory research. ... This article also design the realizing hardware*circuit*and do its simulation with Multisim. ... MATLAB simulation results System (1) has*two*-*dimensional*and three-*dimensional*attractors. ...##
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Analysis of self-equilibrated networks through cellular modeling
[article]

2020
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arXiv
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pre-print

For instance, in DC electrical

arXiv:2008.04570v1
fatcat:g4xyd4n7kjb75dcp6qorjr26l4
*circuits*(which correspond to one-*dimensional*networks), flow*orientation*is set by convention from higher voltage to lower voltage (negative potential difference). ... They showed that the flow densities of the cells in*two*dimensions and three dimensions can be obtained through the product of the signed volume of*two*specific*oriented**two*-simplices and three-simplices ... The flow associated to the*circuit*is defined by: Elementary*circuits*represent cycles in graph theory: closed paths where every vertex has exactly*two*neighbors. ...##
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Page 156 of Annals of Mathematics Vol. 23, Issue
[page]

1921
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Annals of Mathematics
*

It is easily seen that in a homology the right and left sides together constitute the boundary of an

*oriented**two*-*dimensional*manifold though not in general a 2-cell. ... It is easily seen that in a homology (mod 2 the right and left sides constitute the boundary of a*two*-*dimensional*manifold which need not be*oriented*. (See Veblen, loc. cit., Chap. II, § 37. ...##
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On the existence of electrical networks

1941
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Bulletin of the American Mathematical Society
*

A

doi:10.1090/s0002-9904-1941-07563-4
fatcat:yi7vev5gqvfkhnvbow5u2cxr6u
*circuit*of a network is a topological circle of the network together with an*orientation*of this circle. Let*two**circuits*d and Cy have the branches fry, p -\, 2, • • • , in common. ... We break Ci at one of its vertices A and insert*two*branches bi and b between the*two*ends A\ and -4 2 of the broken*circuit*. ... A*circuit*of a network is a topological circle of the network together with an*orientation*of this circle. Let*two**circuits*d and Cy have the branches fry, p -\, 2, • • • , in common. ...##
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A Naive-Bayes-based fault diagnosis approach for analog circuit by using image-oriented feature extraction and selection technique

2019
*
IEEE Access
*

Second, the local optimal-

doi:10.1109/access.2018.2888950
fatcat:fxpe5ltnbjhf7lp4c2icof3diq
*oriented*pattern is applied to all the XWT spectrum images to generate the original high-*dimensional*feature set. ... The simulation results on*two*typical*circuits*have demonstrated that the proposed method is a promising means to detect and classify most analog*circuit*faults, achieving a better diagnosis accuracy than ... Various projection approaches are commonly utilized in obtaining features of matrices such as*two*direction*two**dimensional*linear discriminative analysis (TD2DLDA) [18] ,*two*-*dimensional*non-negative ...
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