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Mathematics & Statistics

Overview

Using the latest mathematics approaches and computational methods, researchers at NIST provide state-of-the-art contributions that assist industry and academia in tackling some of the most difficult scientific, technical, and engineering problems and tasks.

Featured Content

Digital Library of Mathematical Functions

Mathematics and Statistics Topics

Experiment design

Image & signal processing

Mathematical knowledge management

Modeling & simulation research

Numerical methods & software

Statistical analysis

Uncertainty quantification

The Research

Projects & Programs

Image depiction of: To connect two nodes operating at different wavelengths, there are generally two strategies: (1) use quantum frequency conversion or quantum transduction to convert the wavelength of the photon emitted by one node to the wavelength of the second node, or (2) connect the two nodes using an entangled photon pair source whose two photons have wavelengths that match the two nodes. Both techniques involve nonlinear optics.

Nonlinear Optics for Quantum Information and Networking

Nonlinear optics offer ways to control and engineer the interconnects in a quantum network. In a hybrid quantum network where the quantum nodes operate at

High Performance Computing

Our High Performance Computing (HPC) program enables work on challenging problems that are beyond the capacity and capability of desktop computing resources

Special Functions

This project will create a web-based portal enabling users to evaluate a large class of special functions to essentially arbitrary accuracy at user-defined

View All Projects/Programs

Additional Resources Links

Publications

The Pioneering Life of Ethel Marden

Ethel Marden was a NIST mathematician who worked with SEAC, the nation's first computer with a memory, and lived a life that many would envy.

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News

artist's concept of the inside of a quantum computer. A grid of blue computer chips with beams of light moving between them.

The Future Is Now: Spreading the Word About Post-Quantum Cryptography

I consider myself a quiet guy — on a Friday night you can usually find me at home doing crossword puzzles. Public speaking doesn’t come naturally to me, and I’ve never really liked it. Like many people, I get really nervous. So, how did I find myself standing at a podium in front of hundreds of people in Fukuoka, Japan? I had never traveled that far away from home before. I was also pretty jet

A medical worker administers a nasal swab test to a person in a car.

NIST Innovation Could Improve Detection of COVID-19 Infections

Four sets of black, chunky circular shapes with center markings on a white background.

Recovering Data: NIST’s Neural Network Model Finds Small Objects in Dense Images

Man with dark hair writing mathematical formulas on a whiteboard on a wall.