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:
“Human life consists in mutual service. No grief, pain, misfortune, or “broken heart,” is excuse for cutting off one’s life while any power of service remains. But when all usefulness is over, when one is assured of an unavoidable and imminent death, it is the simplest of human rights to choose a quick and easy death in place of a slow and horrible one.”
—Charlotte Perkins Gilman (1860–1935)
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)
“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)