Behold the Manifold, the Concept that Changed How Mathematicians View Space

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...
Scientific American

What’s the Most Distant Galaxy? And Why Does It Matter?

Distance records are an excellent proxy for the state of the art in astronomy. Finding extremely faraway galaxies is hard. In ...
Investopedia

Sampling Distribution: Definition, How It's Used, and Example

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Thomas J. Brock is a CFA and CPA with more ...
IEEE

Riemannian Optimization for Distance-Geometric Inverse Kinematics

Abstract: Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically ...
IEEE

An Efficient Unified Algorithm for the Minimum Euclidean Distance Between Two Collections of Compact Convex Sets

Abstract: In this article, we present an efficient unified algorithm for the minimum Euclidean distance between two collections of compact convex sets, each of which can be a collection of convex ...