Download the PDF of this article. In high-throughput applications, standard triangular or trapezoidal motion profiles have been widely utilized to reach a desired position quickly. As shown in the ...

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

Mathematicians just made a big leap forward on one of the field’s all-time favorite problems. Curves—squiggly lines through space, such as a comet’s trajectory or a stock market trend—are some of math ...