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Linear Homeomorphic Model for Human Movement

IEEE Transactions on Biomedical Engineering, 1980
The parameter values for this model are specific to the human eye movement systems; however, the form of the model is applicable to other neurological motor control systems. The muscle length-tension diagram was modeled with an ideal spring. The muscle force-velocity relationship was linearized in a manner that produced a linear model.
A T, Bahill, J R, Latimer, B T, Troost
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Remarks on Linear Homeomorphisms of Function Spaces

Acta Mathematica Hungarica, 2000
Let \(X\), \(Y\) be completely regular Hausdorff spaces, and let \(C_p(X)\), \(C_p(Y)\) denote the algebras \(C(X)\), \(C(Y)\) provided with the topology of pointwise convergence. By a theorem of Nagata, the spaces \(X\) and \(Y\) are homeomorphic if \(C_p(X)\) and \(C_p(Y)\) are topologically isomorphic as topological algebras.
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Correction to: Reversibility in Groups of Piecewise Linear Homeomorphisms of the Circle

Bulletin of the Malaysian Mathematical Sciences Society, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ben Rejeb, Khadija, Marzougui, Habib
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Exploring Linear Homeomorphic Clusters on Nonlinear Manifold

Acta Automatica Sinica, 2012
Summary: This paper proposes a new clustering algorithm based on ant colony optimization and Grassmann manifold for exploring linear homeomorphic clusters on non-linear dataset manifolds. The minimum processed units of the algorithm are first lifted to suppress the influence of noise, and then the similarity of unit is measured according to the ...
Wang, Li   +4 more
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Homeomorphic piecewise-linear resistive networks

IEEE Transactions on Circuits and Systems, 1988
Homeomorphism of matrix equations of the form f(x)=g(x)+Hx=y, where g is nondiagonal, is studied. It is shown that contrary to common belief, from a practical point of view, the condition that the Jacobian determinant is nonzero and has the same sign in all the regions is a necessary as well as a sufficient condition. >
V.C. Prasad, V.P. Prakash
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Homeomorphic piecewise linear functions

Proceedings of the IEEE, 1982
Using the global implicit function theorem of piecewise linear functions, a number of new results are derived for the uniqueness of solutions of piecewise linear functions.
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Constructing piecewise linear homeomorphisms

1994
Let P = p1; : : : ; pn and Q = q1; : : : ; qn be two point sets lying in the interior of rectangles in the plane. We show how to construct a piecewise linear homeomorphism of size O(n2 ) between the rectangles which maps pi to qi for each i. This bound is optimal in the worst case; i.e., there exist point sets for which any piecewise linear ...
Souvaine, Diane, Wenger, Rephael
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Homeomorphism of piecewise-linear resistive networks

Proceedings of the IEEE, 1983
Sufficient conditions for unique solvability of certain piecewise-linear resistive networks like transistor and tunnel-diodes networks are derived. They require that certain cofactors of each region containing a corner point shall have the same sign.
V.C. Prasad, P.B.L. Gaur
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Piecewise linear homeomorphisms

1977
Let K and L be complexes. We recall, from Section 0, that a homeomorphism $$f:|K| \leftrightarrow |L|$$ is piecewise linear (relative to K and L) if there is a subdivision K 1 of K such that for each σ ∈ K 1, f|σ maps σ linearly into a simplex of L. “PL” stands for piecewise linear, and “PLH” stands for PL homeomorphism, or PL homeomorphic. If K
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The Linear Homeomorphic Saccadic Eye Movement Model - A Modification

IEEE Transactions on Biomedical Engineering, 1984
The objective of this study was the modification of a linear homeomorphic horizontal saccadic eye movement model to a direct programming state-space representation through Laplace variable analysis about the operating point or initial eye position. The lateral and medial rectus muscle of each eye is modeled as a parallel combination of an active state ...
J D, Enderle, J W, Wolfe, J T, Yates
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