Results 271 to 280 of about 2,256,432 (315)

Euclid Book VI: Similarity Geometry

1999
The basic theorem of Book VI looks innocent enough, but it is the foundation of Euclid’s similarity geometry.
B. Artmann
openaire   +2 more sources

The Linear Representation Hypothesis and the Geometry of Large Language Models

International Conference on Machine Learning, 2023
Informally, the 'linear representation hypothesis' is the idea that high-level concepts are represented linearly as directions in some representation space. In this paper, we address two closely related questions: What does"linear representation"actually
Kiho Park, Yo Joong Choe, Victor Veitch
semanticscholar   +1 more source

Similarity groups, geometry and symmetry

International Journal of Mathematical Education in Science and Technology, 1999
In this paper a variety of subgroups of the similarity group of the plane are described. The subgroups are determined by investigating the symmetries of geometric structures which the groups leave invariant.
Mark A. M. Lynch, Sylvia J. Fraser
openaire   +1 more source

GEOMETRY AND DIMENSION OF SELF-SIMILAR SET

Chinese Annals of Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, Yongcheng   +2 more
openaire   +2 more sources

The Stochastic Geometry Analyses of Cellular Networks With $\alpha$ -Stable Self-Similarity

IEEE Transactions on Communications, 2017
To understand the spatial deployment of base stations (BSs) is the first step to analyze the performance of cellular networks and further design efficient networking protocols.
Rongpeng Li   +4 more
semanticscholar   +1 more source

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