Results 71 to 80 of about 1,040 (166)
Abstract We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given envelope and vice versa. Our formulas are universal in the sense that they produce all possible sufficiently regular pairs of such Poncelet curves. We arrive at similar
Norbert Hungerbühler, Micha Wasem
wiley +1 more source
КЛАССИФИКАЦИЯ ВЫПУКЛЫХ МНОГОГРАННИКОВ
The paper is continuation of the author's series of paper devoted to the solution of Hadviger's problem of covering convex polyhedrons with body images at homothety.
ПУОЛОКАЙНЕН Т.М.
doaj
Rigid circle domains with non‐removable boundaries
Abstract We give a negative answer to the rigidity conjecture of He and Schramm by constructing a rigid circle domain Ω$\Omega$ on the Riemann sphere Ĉ$\hat{\mathbb {C}}$ with conformally non‐removable boundary. Here, rigidity means that every conformal map from Ω$\Omega$ onto another circle domain is a Möbius transformation, and non‐removability ...
Kai Rajala
wiley +1 more source
Continuity of HYM connections with respect to metric variations
Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley +1 more source
A four‐dimensional peabody of constant width
Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio +2 more
wiley +1 more source
Sadraâs ontological hermeneutics and the religious language problem [PDF]
Investigating the significance and knowledge domain of a holy text is one of the fundamental problems of religious Language. For Sadra the religious language is a cognitive language.
Mohammad Bidhendi, Mahdi Dastranj
doaj
A Study of LFT Embeddings in the Second Order Clifford Algebra
Knowledge graph embedding models represent entities as vectors in continuous spaces and their relations by geometric transformations, mainly translation, and rotation.
Kossi Amouzouvi +5 more
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Identification and characterization of learning weakness from drawing analysis at the pre-literacy stage. [PDF]
Dui LG +6 more
europepmc +1 more source
Finite Minkowski planes of type 20 with respect to homotheties
In [J. Geom. 43, No. 1--2, 116--128 (1992; Zbl 0746.51009)], \textit{M. Klein} classified Minkowski planes with respect to \(\{p,p'\}\)-homotheties. If \({\mathcal M}\) is a Minkowski plane and \(p\) and \(p'\) are non-parallel points of \({\mathcal M}\), then a \(\{p,p'\}\)-homothety is an automorphism of \({\mathcal M}\) fixing both \(p\) and \(p ...
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Transformations and Preservation of Self-assembly Dynamics through Homotheties [PDF]
We introduce a new notion in self-assembly, that of transforming the dynamics of assembly. This notion allows us to have transformation of the plane computed within the assembly process. Then we apply this notion to zooming. The possibility of zooming depends on the order condition. This shows that this condition, which arose from engineering concerns (
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