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I give a brief review of the parton model.

High Energy Physics - Phenomenology · Physics 2010-04-05 O. W. Greenberg

Homage is paid to E. Majorana by dedicating our recent work in his memory.

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

A Short Course on Frame Theory.

Information Theory · Computer Science 2011-04-22 Veniamin I. Morgenshtern , Helmut Bölcskei

Some examples and basic properties of ultrametric spaces are briefly discussed.

Metric Geometry · Mathematics 2007-11-06 Stephen Semmes

These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.

Metric Geometry · Mathematics 2007-09-27 Stephen Semmes

The study of neural generative models of human sketches is a fascinating contemporary modeling problem due to the links between sketch image generation and the human drawing process. The landmark SketchRNN provided breakthrough by…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Ayan Das , Yongxin Yang , Timothy Hospedales , Tao Xiang , Yi-Zhe Song

An complete exposition of Matthias Gunther's elementary proof of Nash's isometric embedding theorem.

Differential Geometry · Mathematics 2007-05-23 Deane Yang

Node embedding algorithms produce low-dimensional latent representations of nodes in a graph. These embeddings are often used for downstream tasks, such as node classification and link prediction. In this paper, we investigate the following…

Machine Learning · Computer Science 2024-06-13 Zohair Shafi , Ayan Chatterjee , Tina Eliassi-Rad

A conjecture regarding the structure of expander graphs is discussed.

Combinatorics · Mathematics 2020-10-20 Itai Benjamini , Mikolaj Fraczyk

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

Classical Analysis and ODEs · Mathematics 2011-01-19 Peng Gao

In this article we discuss a generalized Wirtinger inequality.

Analysis of PDEs · Mathematics 2010-05-04 Gisella Croce , Bernard Dacorogna

Existing approaches for graph neural networks commonly suffer from the oversmoothing issue, regardless of how neighborhoods are aggregated. Most methods also focus on transductive scenarios for fixed graphs, leading to poor generalization…

Machine Learning · Computer Science 2020-06-25 Kyuyong Shin , Wonyoung Shin , Jung-Woo Ha , Sunyoung Kwon

A brief historical introduction for the enigmatic number Zero is given. The discussions are for popular consumption.

History and Overview · Mathematics 2016-06-08 Asis Kumar Chaudhuri

We discuss the scientific contributions of Edsger Wybe Dijkstra, his opinions and his legacy.

General Literature · Computer Science 2007-05-23 Krzysztof R. Apt

This is a brief response to a recent posting by Gross.

Statistical Mechanics · Physics 2007-05-23 Christopher Jarzynski

A translation of Emmy Noether's paper "Der Endlichkeitsatz der Invarianten endlicher Gruppen" (Mathematische Annalen, vol. 77, 1920, pages 89--92). In Noether's words, the paper gives "an entirely elementary finiteness proof---using only…

History and Overview · Mathematics 2015-03-27 Colin McLarty

How do we summarize dynamic behavioral interactions? We introduce a possible node-embedding-based solution to this question: temporal egonet subgraph transitions.

Social and Information Networks · Computer Science 2023-03-28 Daniel Gonzalez Cedre , Sophia Abraham , Lucas Parzianello , Eric Tsai

We report on the life and work of F. Wiener, whom we confused with N. Wiener in a previous article.

Complex Variables · Mathematics 2007-05-23 Harold P. Boas , Dmitry Khavinson

Biographical essay at the occasion of the first death anniversary of Manfred Bonitz

History and Philosophy of Physics · Physics 2013-06-18 Michael Bonitz , Andrea Scharnhorst

A brief introduction is given to the topic of Smith normal forms of incidence matrices. A general discussion of techniques is illustrated by some classical examples. Some recent advances are described and the limits of our current…

Combinatorics · Mathematics 2015-06-18 Peter Sin