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Three-Dimensional Infinite Cluster Function as a Descriptor of Through-Plane Effective Conductivity in Porous Electrodes of Membrane Electrode Assemblies. [PDF]
Rodriguez A +4 more
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Toward Super-Resolution Reconstruction of Diffusion-Relaxation MRI Using Slice Excitation With Random Overlap (SERO). [PDF]
Mortensen F +7 more
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On Napoleon's theorem in the isotropic plane]{On Napoleon's theorem in the isotropic plane
Periodica Mathematica Hungarica, 2006Napoleon's original theorem refers to arbitrary triangles in the Euclidean plane. If equilateral triangles are externally erected on the sides of a given triangle, then their three corresponding circumcenters form an equilateral triangle. We present some analogous theorems and related statements for the isotropic (Galilean) plane.
, Spirova Margarita
exaly +3 more sources
On evolutes of curves in the isotropic plane
Aequationes MathematicaeThe Tait-Kneser theorem is a classical theorem which states that the osculating circles along a plane curve with monotone non-vanishing curvature are pairwise disjoint and nested. The main contribution of the paper is to prove a version of this theorem for curves in the isotropic plane.
Rui Pacheco
exaly +2 more sources
Plane Cracks in a Transversely Isotropic Layer
Mechanics of Solids, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Artamonova, E. A., Pozharskii, D. A.
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Kiepert Triangles in an Isotropic Plane
Sarajevo Journal of MathematicsIn this paper the concept of the Kiepert triangle of an allowable triangle in an isotropic plane is introduced. The relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle are studied. It is also proved that an allowable triangle and any of its Kiepert triangles are homologic.
Kolar-Šuper, Ružica +2 more
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2008
We begin with a uniqueness theorem in linear elastic doublet mechanics. With this tool in hand we present two methods of obtaining solutions. The first stems from a correspondence between problems in doublet and continuum mechanics which allows the generation of a solution in one theory given a solution in the other.
J. C. Nadeau, A. H. Nashat, M. Ferrari
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We begin with a uniqueness theorem in linear elastic doublet mechanics. With this tool in hand we present two methods of obtaining solutions. The first stems from a correspondence between problems in doublet and continuum mechanics which allows the generation of a solution in one theory given a solution in the other.
J. C. Nadeau, A. H. Nashat, M. Ferrari
openaire +1 more source
Thébault’s Pencil of Circles in an Isotropic Plane
Sarajevo Journal of MathematicsIn the Euclidean plane Griffiths's and Thébault's pencil of the circles are generally different. In this paper it is shown that in an isotropic plane the pencils of circles, corresponding to the Griffiths's and Thébault's pencil of circles in the Euclidean plane, coincide.
Volenec, Vladimir +2 more
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Wrinkling of Plane Isotropic Biological Membranes
Journal of Applied Mechanics, 2006The problem of the wrinkling of plane isotropic membranes characterized by a Fung type constitutive model in biaxial tension has been formulated and solved within the framework of finite strain hyperelasticity. The formulation follows the approach of Pipkin [Pipkin, A.C., 1986, IMA J. Appl. Math., 36, pp. 85–99; 1994, ibid., 52, pp.
MASSABO', ROBERTA, GAMBAROTTA, LUIGI
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On Foci and Asymptotes of Conics in the Isotropic Plane
Sarajevo Journal of MathematicsThe paper shows that every conic with foci in the isotropic plane can be represented by the equation of the form $y^2=\epsilon x^2+x$, where $\epsilon \in \{-1, 0, 1\}$ for an ellipse, a parabola and a hyperbola with foci respectively. Using this equation some important properties of the foci are proved.
Beban-Brkić, Jelka +2 more
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