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Mathematics & Statistics

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Displaying 151 - 175 of 872

Measuring Microfluidic Flow Rates: Monotonicity, Convexity and Uncertainty

August 20, 2020
Author(s)
Paul Patrone, Qing Hai Li, Gregory A. Cooksey, Anthony J. Kearsley
A class of non-linear integro-differential equations characterizing microfluidic measurements is considered. Under reasonable conditions, these non-linear integro-differential equations admit solutions that are convex functions of an interesting flow-rate

Status Report on the Second Round of the NIST Post-Quantum Cryptography Standardization Process

July 22, 2020
Author(s)
Dustin Moody, Gorjan Alagic, Daniel C. Apon, David A. Cooper, Quynh H. Dang, John M. Kelsey, Yi-Kai Liu, Carl A. Miller, Rene C. Peralta, Ray A. Perlner, Angela Y. Robinson, Daniel C. Smith-Tone, Jacob Alperin-Sheriff
The National Institute of Standards and Technology is in the process of selecting one or more public-key cryptographic algorithms through a public, competition-like process. The new public-key cryptography standards will specify one or more additional

Microwave radiometer instability due to infrequent calibration

April 16, 2020
Author(s)
Kevin J. Coakley, Jolene D. Splett, Dave K. Walker, Mustafa Aksoy, Paul E. Racette
We directly quantify the effect of infrequent calibration on the stability of microwave radiometer temperature measurements (where a power measurement for the unknown source is acquired at a fixed time but calibration data are acquired at variable earlier

Combinatorial Rank Attacks Against the Rectangular Simple Matrix Encryption Scheme

April 10, 2020
Author(s)
Dustin Moody, Ray A. Perlner, Daniel C. Smith-Tone, Daniel C. Apon, Javier Verbel
In 2013, Tao et al. introduced the ABC Simple Matrix Scheme for Encryption, a multivariate public key encryption scheme. The scheme boasts great efficiency in encryption and decryption, though it suffers from very large public keys. It was quickly noted

Discovering Mathematical Objects of Interest - A Study of Mathematical Notations

April 1, 2020
Author(s)
Howard S. Cohl, Andre Greiner Petter, Moritz Schubotz, Corinna Breitinger, Fabian Muller, Akiko Aizawa, Bela Gipp
Mathematical notation, i.e., the writing system used to communicate concepts in mathematics, encodes valuable information for a variety of information search and retrieval systems. Yet, mathematical notations remain mostly unutilized by today's systems. In

Workshop on Applied Category Theory: Bridging Theory and Practice

February 7, 2020
Author(s)
Spencer J. Breiner, Blake S. Pollard, Eswaran Subrahmanian
This report presents the summary of a workshop held at NIST on March 15-16, 2018 on the topic of applied category theory (ACT). The meeting had two main goals: (i) mapping the current ACT landscape and (ii) developing a roadmap for transitioning the field

Moment subset sums over finite fields

February 1, 2020
Author(s)
Tim LAI, Alicia Marino, Angela Robinson, Daqing Wan
The k-subset sum problem over finite fields is a classical NP-complete problem. Motivated by coding theory applications, a more complex problem is the higher m-th moment k-subset sum problem over finite fields. We show that there is a deterministic