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Current Issue

Welcome to the current issue of the Notices of the American Mathematical Society. With support from AMS membership, we are pleased to share the journal with the global mathematical community.

Features

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A Feeling for Khovanov Homology

Andrew Lobb

The purpose of this article is to give the casual reader a feeling for Khovanov homology. To achieve our ends we will approach Khovanov homology from several different directions and record what we see.
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Differential Equations for Continuous-Time Deep Learning

Lars Ruthotto

Using examples from machine learning and applied mathematics, we will see how continuous-depth neural network architectures, defined by ODEs, can provide new insights into deep learning and a foundation for more efficient algorithms.
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On Hamilton Cycles in Graphs Defined by Intersecting Set Systems

Torsten Mütze

We consider graphs defined by intersecting set systems, giving an overview of techniques devised during the past 40 years that establish the existence of Hamilton cycles in those graphs, thus settling special cases of Lovász’ conjecture.
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