This work establishes the first mathematical foundations of Radial Coherential Dynamics (RCD) without presupposing spacetime geometry. Version 1.1 introduces the adjacency structure ∼, resolving the dimensional-collapse problem of v1.0 and allowing spatial structure to emerge independently of coherence. Starting from four primitives — a coherence field,
Cerezo, Arturo, AI Collaborative Panel
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G. David and S. Semmes Fractured fractals and broken dreams – self-similar geometry through metric and measure (Oxford Lecture Series in Mathematics and its Applications Vol. 7, Clarendon Press, Oxford, 1997), ix + 212pp., 0 19 850166 8, (hardback) £35. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1999 K. J. Falconer
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On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type (Dissertation for Doctor of Sciences in Mathematics, defended on 15.06.2017 in Plovdiv University, Bulgaria) [PDF]
, 2017 Манчо Манев
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Hodge Theory on Metric Spaces [PDF]
, 2011 Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern ...
A. Zomorodian +40 more
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, 2014 This is the translation of the Mizar article containing readable Mizar proofs of some axiomatic geometry theorems formulated by the great Polish mathematician Alfred Tarski [8], and we hope to continue this work.
Alama, Jesse +2 more
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Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]
, 2012 We exhibit a pseudo-Hermitian metric on the moduli space/Teichmuller space of hyperelliptic curves of genus g ≧ 2. The pseudometric is defined using the area form on the moduli space of Euclidean cone structures which are obtained by taking quotients of ...
大鹿, 健一, 西, 晴子
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Chains in CR geometry as geodesics of a Kropina metric [PDF]
, 2019 With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Cheng, Jih-Hsin +3 more
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Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
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Geometric Meanings of Curvatures in Finsler Geometry [PDF]
, 2000 In Finsler geometry, we use calculus to study the geometry of regular inner metric spaces. In this note I will briefly discuss various curvatures and their geometric meanings from the metric geometry point of view, without going into the forest of ...
Shen, Zhongmin
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A Coding Theoretic Study on MLL proof nets
, 2010 Coding theory is very useful for real world applications. A notable example is digital television. Basically, coding theory is to study a way of detecting and/or correcting data that may be true or false. Moreover coding theory is an area of mathematics,
Girard +4 more
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