Usefulness
The fish curve itself may not have any known applications to physical systems, but parametric equations in general do. Using parametric equations to express curves is practical as well as efficient; for example, one can integrate and differentiate such curves termwise. In general, a parametric curve is a function of one independent parameter, which is usually represented by t, while the symbols u and v are commonly used for parametric equations in two parameters.
Read more about this topic: Fish Curve
Famous quotes containing the word usefulness:
“I duly acknowledge that I have gone through a long life, with fewer circumstances of affliction than are the lot of most men. Uninterrupted health, a competence for every reasonable want, usefulness to my fellow-citizens, a good portion of their esteem, no complaint against the world which has sufficiently honored me, and above all, a family which has blessed me by their affections, and never by their conduct given me a moment’s pain.”
—Thomas Jefferson (1743–1826)
“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)
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)