In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a ...

DURHAM – Since their creation nearly 70 years ago, Reed-Muller codes have been used to help transmit data in wireless communication, particularly in deep-space applications. With many codes for ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

This commentary is published in coordination with the 2025 Global Security Forum, of which Defense One is a media partner. The AI-powered weapons and systems that the Pentagon is racing to build will ...

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American Mathematical ...

Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic ...