Usefulness
It could be argued that we already have terms for the concepts described here, like dynamical systems, group actions, modules, and vector spaces. However, there is still no other terminology available for an external monoid for which this terminology gives us a concise expression. Above all else, this is a reason this term should be of use in the mathematical community.
Read more about this topic: External (mathematics)
Famous quotes containing the word usefulness:
“This monument, so imposing and tasteful, fittingly typifies the grand and symmetrical character of him in whose honor it has been builded. His was “the arduous greatness of things done.” No friendly hands constructed and placed for his ambition a ladder upon which he might climb. His own brave hands framed and nailed the cleats upon which he climbed to the heights of public usefulness and fame.”
—Benjamin Harrison (1833–1901)
“But, in history, practical usefulness never determines the moral value of an achievement. Only the person who increases the knowledge humanity has about itself and enhances its creative consciousness permanently enriches humanity.”
—Stefan Zweig (18811942)
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)