Part one explained the physics of quantum computing. This piece explains the target — how bitcoin's encryption works, why a ...

Google's quantum paper made headlines with that number. Here's what it means, what's actually at risk, and why 6.9 million bitcoin are more exposed than the rest.

Abstract: Through optimizing discrete labels directly, discrete clustering technique enables to address potential information loss issue in spectral clustering caused by multi-stage label processing.

Description: 👉 Learn how to graph piecewise functions. A piecewise function is a function which has more than one sub-function for different sub-intervals (sub-domains) of the function's domain. To ...

Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values, we will want to identify how far left the graph ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

ABSTRACT: Graph burning is a model to describe the spread of social influence. In 2023, Song et al. proposed the Independent Cascade Graph Burning model, where a vertex v can be burned by its burning ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...