Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

Abstract: In this paper, we construct binary spatially coupled (SC) low-density parity-check (LDPC) codes based on Euclidean geometry (EG) LDPC codes for storage ...

THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract ...

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Abstract This survey highlights some foundational history and some interesting recent discoveries in elementary geometry that deserve to be better known, such as the hierarchies of axiom systems, ...

ABSTRACT: The cosmological constant, Λ, represents dark energy. The dark energy hypothesis (DEH) replaces Λ with a variable quantity, the cosmological parameter: Λ= 1 a 2 η 2 In this formula, “a” is ...

THE two books under notice together constitute an excellent introduction to non-Euclidean geometry in all its aspects. The lectures of F. Klein now appear in print for the first time under the ...

In fall 2021, senior (then-sophomore) Spencer Kates had booked a show to play at the co-op, a local St. Louis venue. But there was an issue: he didn’t have a band. A few weeks earlier, he had played ...

Olgica Milenkovic’s group has been developing machine learning approaches that can tell revealing new stories about biological phenomena—but her work has very old roots. Written by Olgica Milenkovic’s ...