Closed Curves
REGULAR HOMOTOPY OF CLOSED CURVES ON SURFACES
... regular closed curves in the plane up to regular homotopy sparked the investigation of winding numbers to classify regular closed curves on other ...regular closed curves on ...
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Continuous Maps on Digital Simple Closed Curves
... closed curves. In particular, we show the following: 1) A digital simple closed curve S of more than 4 points is not contractible, ...simple closed curves, each symmetric with respect ...
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Variations on a theme of Horowitz
... of closed curves on a closed [ori- entable] surface S [with negative Euler characteristic] for which the lengths of the geodesics in the respective homotopy classes are equal for any hyperbolic ...
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The Dirichlet Problem for the 2D Laplace Equation in a Domain with Cracks without Compatibility Conditions at Tips of the Cracks
... We study the Dirichlet problem for the 2D Laplace equation in a domain bounded by smooth closed curves and smooth cracks. In the formulation of the problem, we do not require compatibility conditions for ...
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The 2D Dirichlet Problem for the Propagative Helmholtz Equation in an Exterior Domain with Cracks and Singularities at the Edges
... The 2D Dirichlet boundary value problem for the Helmholtz equation in an exterior multiply connected domain bounded by closed curves is considered in monographs on mathematical physics, for instance, in ...
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Mathematical Model and Computational Studies of Discrete Dislocation Dynamics
... can, under certain physical conditions, evolve in time and space and even interact with each other. At certain physical conditions, e.g., at low homologous temperature, the motion is only two-dimensional and dislocations ...
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Volume 7: Layout of (Software) Engineering Diagrams 2007
... on closed curves that find applications in, or related to, software ...of closed curves can be viewed as an Euler diagram but there are a host of differing views of what constitutes such a ...
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On Isoperimetric Inequalities in Minkowski Spaces
... simple closed curves of given Minkowski length length measured in the norm find those enclosing largest ...a closed curve C can also be interpreted as the mixed area of C and the polar reciprocal of ...
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Harmonic measures for distributions with finite support on the mapping class group are singular
... simple closed curves carried by a non-classical interval exchange is a quasi-convex set in the curve com- plex and it makes sense to consider " deeply carried " ...
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Automated Shape Recognition and Curve Matching using Discrete Invariants.
... two closed curves for which we do not expect an exact match for the entire length of the curve, ...original curves associated with the smallest distance between the signatures for the longest length ...
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Riemann boundary-value problem for doubly-periodic bianalytic functions
... Du, J.Y., Wang, Y.F.: Riemann boundary value problems of polyanalytic functions and metaanalytic functions on the closed curves. Du, J.Y., Wang, Y.F.: On boundary value problems of polya[r] ...
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On the Kinetic Energy of the Projection Curve for the 1 Parameter Closed Spatial Homothetic Motion
... or closed motion, depending on whether the trajectory curves are open or ...of closed curves for 1-parameterized planar How to cite this paper: Soylu, ...
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Double Electron Affinity for Potential Energy Curves of Closed Shell Molecules
... a closed shell configuration easily obtained with the restricted Hartree-Fock (RHF) ...the closed shell molecule dissociates into open shell fragments the RHF leads to the incorrect dis- sociation results ...
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Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
... bifurcation curves in this family and we study the bifurcation diagram which consists to these bifurcation curves in the parameter (a, b) ...are closed by homoclinic bifurcations by the intriguing ” ...
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Computer Aided Modeling of Human Mastoid Cavity Biomechanics Using Finite Element Analysis
... response curves of relative acoustic pressure at several different locations in the canal and middle ear cavity (open the aditus) when a harmonic sound pressure of 120 dB SPL was applied at the canal entrance with ...
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Vol 3, No 11 (2012)
... 1. Every θ- closed set is πgθ-closed. 2. Every θg-closed set is πgθ -closed. 3. Every πgθ -closed set is πg-closed. 4. Every πgθ -closed set is πgα -closed. 5. ...
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Closed but provocative questions: curves enclosing unit area
... than closed questions (those with one right answer), but this is too ...Some closed questions can have answers that are so provocative that they invite further exploration or demand an explanation, leading ...
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Quantifying the uncertainty of eddy covariance fluxes due to the use of different software packages and combinations of processing steps in two contrasting ecosystems
... in EddyUH according to Rella (2010). The same correction is not available in EddyPro. Finally, we performed four dif- ferent combinations of processing steps and compared them with the reference combination in order to ...
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Closed-form solution for generalized Vasicek dynamic term structure model with time-varying parameters and exponential yield curves
... In this paper I investigate generalized Vasicek dynamic term structure models with time-varying parameters, where the short rate r is unbounded and the time to maturity for the exponential yield curve model is an ...
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Vol 8, No 10 (2017)
... all closed subsets of a space (X, 𝜏 ) is denoted by C(X, 𝜏 ...semi closed (resp.pre-closed an d α -closed) set containing a subset A of (X, 𝜏 ) is called the semi-closure ...
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