FALL 1999 T TITLE of this article is also the title of a remarkable new book written by Liping Ma. The basic format of the book is simple. Each of the first four chapters opens with a standard topic in elementary school mathematics, presented as a part of a situation that would arise naturally in a classroom. These scenarios are followed by extensive discussion by teachers regarding how they wo...

Knowledge graph management use cases often require addressing hybrid information needs that involve a multitude of data sources, a multitude of data modalities (e.g., structured, keyword, geospatial search), and availability of computation services (e.g., machine learning and graph analytics algorithms). Although SPARQL queries provide a convenient way of expressing data requests over RDF knowl...

In this paper, we will show that the cost − cosh ◦dHn is a regular cost, meaning that minimizing this cost on hyperbolic space yields a smooth optimal map between two given distributions of mass which satisfies suitable hypotheses. We show this by proving this cost satisfies Ma-Trudinger-Wang’s conditions and by investigating notions of convexity under this cost.