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Oriented two-dimensional circuits
1981
Discrete Mathematics
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%oato@&rath~r than top@@cal lines; when an n-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. ...
doi:10.1016/0012-365x(81)90162-x
fatcat:5p5mfs7tqjdyhp27m4uxvgph5u
Design-Oriented Two-Stage Surrogate Modeling of Miniaturized Microstrip Circuits with Dimensionality Reduction
2020
IEEE Access
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INDEX TERMS Microwave design, compact 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. ...
doi:10.1109/access.2020.3006708
fatcat:mut5vvrzobc4hcnnlbydps2pda
Geometric Structure behind Duality and Manifestation of Self-Duality from Electrical Circuits to Metamaterials
2019
Symmetry
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In electromagnetic systems, duality is manifested in various forms: 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. ...
doi:10.3390/sym11111336
fatcat:mpuwegonxrafbdxozbzwonumvu
Page 540 of American Mathematical Society. Transactions of the American Mathematical Society Vol. 25, Issue 4
[page]
1923
American Mathematical Society. Transactions of the American Mathematical Society
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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 ...
Nearly tight bounds on the number of Hamiltonian circuits of the hypercube and generalizations
2009
Information Processing Letters
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As a consequence, if M d is the number of perfect matchings and H d is the number of Hamiltonian 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. ...
doi:10.1016/j.ipl.2008.10.015
fatcat:nswhoqrmcffknfaetcsjonc2ge
The Intersection Numbers
1923
Transactions of the American Mathematical Society
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r"_fc when both are immersed in an n-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 ...
doi:10.2307/1989306
fatcat:ayzeirmqcbesziuiv24naomfwu
The intersection numbers
1923
Transactions of the American Mathematical Society
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r"_fc when both are immersed in an n-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 ...
doi:10.1090/s0002-9947-1923-1501259-6
fatcat:sc6r23iu3na2bda5bd23wopexe
Evaluation of Hardware Oriented MRCoHOG using Logic Simulation
2017
Proceedings of the 12th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications
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In this paper, a hardware 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. ...
doi:10.5220/0006165803410345
dblp:conf/visapp/YamasakiOSKYET17
fatcat:zsnctyy5wfgabdxrych3oftrka
Partitions of Points into Simplices withk-dimensional Intersection. Part II: Proof of Reay's Conjecture in Dimensions 4 and 5
2001
European journal of combinatorics (Print)
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. , X m such that m i=1 conv X i is at least k-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. ...
doi:10.1006/eujc.2000.0494
fatcat:emh2rufztvg5jcgahfdbefltby
On Embedding a Qualitative Representation in a Two-Dimensional Plane
2008
Spatial Cognition and Computation
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This paper discusses embedding in a 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. ...
doi:10.1080/13875860801944887
fatcat:w26ux7dxqvcx7b3wh34urwmbne
Design and Application of a NEW Seven-Dimensional Hyperchaotic System
2014
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 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. ...
doi:10.14257/ijca.2014.7.4.35
fatcat:xymlz5tn3zflpgddt5xbzw5pdq
Analysis of self-equilibrated networks through cellular modeling
[article]
2020
arXiv
pre-print
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For instance, in DC electrical 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. ...
arXiv:2008.04570v1
fatcat:g4xyd4n7kjb75dcp6qorjr26l4
Page 156 of Annals of Mathematics Vol. 23, Issue
[page]
1921
Annals of Mathematics
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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. ...
On the existence of electrical networks
1941
Bulletin of the American Mathematical Society
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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. ...
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. ...
doi:10.1090/s0002-9904-1941-07563-4
fatcat:yi7vev5gqvfkhnvbow5u2cxr6u
A Naive-Bayes-based fault diagnosis approach for analog circuit by using image-oriented feature extraction and selection technique
2019
IEEE Access
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Second, the local optimal-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 ...
doi:10.1109/access.2018.2888950
fatcat:fxpe5ltnbjhf7lp4c2icof3diq
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