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Surprises Regarding the Hall Effect: An Extraordinary Story Involving an Artist, Mathematicians, and Physicists

Surprises Regarding the Hall Effect: An Extraordinary Story Involving an Artist, Mathematicians, and Physicists

A recent microstructure of interlocking rings reversed the sign of the Hall coefficient in a material with electrons as the predominant charge carrier. 

The World’s Most Fundamental Matrix Equation

The World’s Most Fundamental Matrix Equation

The world’s most fundamental matrix equation (WMFME) directly yields many less obvious formulas.

Quantifying Uncertainty in Numerical Analysis

Quantifying Uncertainty in Numerical Analysis

When recasting numerical analysis in a probabilistic setting, it suffices to have a few basic notions of probability.

Direct Current Transmission and the Future of Electricity

Direct Current Transmission and the Future of Electricity

The U.S. will soon save money and energy by transporting electricity through direct current rather than alternating current transmission lines.

How Will Early Quantum Computing Benefit Computational Methods?

How Will Early Quantum Computing Benefit Computational Methods?

2017 saw considerable news about the imminent impact of quantum computing on science, math, and data analysis. 

Persistent Homology Analysis of Biomolecular Data

Persistent Homology Analysis of Biomolecular Data

Recent technological advances have fueled the exponential growth of “omic” data in biology.

Mitigating Bias in Science and Engineering

Mitigating Bias in Science and Engineering

Implicit associations are natural, but become problematic when they are misapplied or biased by socialization.

The Clever Mathematics Behind Wall Street Intrigue

The Clever Mathematics Behind Wall Street Intrigue

Richard H. Burkhart reviews The Money Formula by Paul Wilmott and David Orrell.

The Mathematics of Seeing Clearly: Deblurring Images for National Security

The Mathematics of Seeing Clearly: Deblurring Images for National Security

Derek Jung was a graduate student intern in the NSF's Mathematical Sciences Graduate Internship (MSGI) Program.

A Water-based Solution of Polynomial Equations

A Water-based Solution of Polynomial Equations

In this month's column, Mark Levi describes a “hydrostatic” calculator of roots—at least of positive real ones—of a polynomial of any degree.

Algebraic Vision

Algebraic Vision

Algebraic vision is an emerging viewpoint of geometric problems in computer vision that examines polynomial models.

Nonlinear Patterns and Waves: From Spectra to Stability and Dynamics

Nonlinear Patterns and Waves: From Spectra to Stability and Dynamics

Besides being aesthetically pleasing, patterns and waves often serve important beneficial or detrimental functions.

SIAM Science Policy Fellowships

SIAM Science Policy Fellowships

SIAM has initiated a new Science Policy Fellowships Program to engage early-career professionals in policy and advocacy.

2017 Germund Dahlquist Prize

2017 Germund Dahlquist Prize

The 2017 Germund Dahlquist Prize was awarded to Per-Gunnar Martinsson at SciCADE2017.

Tensor Decomposition: A Mathematical Tool for Data Analysis

Tensor Decomposition: A Mathematical Tool for Data Analysis

One of the foundational tools for unsupervised analysis and data reduction is principal component analysis.