7.7k citations
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1,593 papers
Galois deformation rings and modularity in the residually reducible case
Geoffrey Akers
We prove some residually reducible -adic Galois representations of number fields arise from modular forms. We study the universal deformation ring arising from deformations sati…
The 11/6 supremum of the Wang-Sitters rounding scheme for graph balancing
Adam Y. Shavit
Wang and Sitters' 11/6-approximation for graph balancing is not one algorithm but a set of permitted executions: Step 1 may return any feasible solution of the relaxation and Step…
Minimum-makespan completion and vertex selection leave the Wang-Sitters constant at 11/6
Adam Y. Shavit
The 11/6 worst-case constant of the Wang-Sitters rounding scheme, which a companion note establishes, can naturally be attributed to the freedom in Step 3, where an arbitrary valid…
Identifying Good Rules for Efficient SAT Encodings of Single-Constant Multiplication Using Machine Learning
Chufeng Jiang, Neng-Fa Zhou
The Single Constant Multiplication problem is a fundamental NP-hard optimization task in hardware design, which seeks to decompose a fixed constant using only additions, subtractio…
Perceived vertical and eye level as one orientation order parameter: a closed-form account of the Li-Matin rules for egocentric space
A. Y. Shavit
Li and Matin (2005a, 2005b) reported three regularities of the induced visually-perceived vertical (VPV): a roll-tilted line shifts the vertical nearly linearly with its orientatio…
Advancing Heliophysics and Space Weather Modeling through Open Science
C. Corti, M. M. Kuznetsova, M. A. Reiss +85
We present a community-wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potenti…