Results 251 to 260 of about 416,391 (281)

Geometry of the Ovoids: Avian Eggs and Similar Asymmetric Forms

Journal of Geometry and Symmetry in Physics, 2023
Despite the longstanding interest in the shapes of the eggs the available parametric descriptions in the modern literature are given only via purely empirical formulas without any clear relationships with their measurable parameters. Here we present geometrical models of the eggs based on Perseus spirics and Cassinian ovals which were known since the ...
Clementina D. Mladenova, Ivaïlo M. Mladenov   +1 more
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Finite-element folds of similar geometry

Tectonophysics, 1976
Abstract Model folds of similar geometry have been produced by using the finite-element method and the constitutive relations of a layer of wet quartzite embedded in a marble matrix with an initially sinusoidal configuration and a 10° limb dip. The power law for steady-state flow of Yule Marble (Heard and Raleigh, 1972) is used for the matrix and our
David K Parrish, Andrea L Krivz, Neville L Carter   +2 more
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Geometry of Self-similar Sets

2014
Self-similar sets form a well-defined class of fractals which are relatively easy to study. This talk introduces their main features with a lot of examples. We explain the need of a separation condition for the tangential structure. Hausdorff measure is the natural concept of volume. Under certain conditions Hausdorff measures define also the “surface”
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Self-Similarity and Fractal Geometry

1995
If you cut a limb off a tree, the resulting object will resemble—in miniature—the tree itself. If you cut a branch off this limb, the shape of the resulting object will be similar to the limb and to the entire tree. If you cut a twig off this branch, it too will resemble the entire tree.
Daniel Kaplan, Leon Glass
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Measuring Graph Similarity Using Spectral Geometry

2008
In this paper we study the manifold embedding of graphs resulting from the Young-Householder decomposition of the heat kernel [19]. We aim to explore how the sectional curvature associated with the embedding can be used as feature for the purposes of gauging the similarity of graphs, and hence clustering them.
Hewayda ElGhawalby, Edwin R. Hancock
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Geometry-aware metric learning for similar face recognition

2016 IEEE International Conference on Multimedia and Expo (ICME), 2016
Noticing that face images(from different persons) with high similarity computed by current state-of-the-art methods may be not visually similar, in this paper, we present a new verification problem on judging whether the given faces are similar or not.
Nanhai Zhang, Jiajie Han, Jiani Hu, Weihong Deng   +3 more
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Problems on Self-similar Geometry

2000
Abstract. We discuss some results and open questions in the field of classical self-similar constructions: Boundaries of self-similar sets with open set condition; the dimension of a self-similar set with a big overlapping; the singularity of self-similar measures with respect to Hausdorff and packing measures and a variational property of self-similar
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Self-similar solutions and power geometry

Russian Mathematical Surveys, 2000
Summary: The prime application of the ideas and algorithms of power geometry is in the study of parameter-free partial differential equations. To each differential monomial we assign a point in \(\mathbb{R}^n\): the vector exponent of this monomial.
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Notes on the Place of Similarity in School Geometry

The Mathematical Gazette, 1938
The principles underlying my proposals with regard to this matter were published in an article in the Mathematical Gazette (May 1922). They may be briefly restated as follows. The first principle is that school geometry should be organised not as a purely ...
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Dynamic time warping using graph similarity guided symplectic geometry mode decomposition to detect bearing faults

Reliability Engineering and System Safety, 2022
Jiawei Xiang
exaly