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)
“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)
“There has been and always will be plenty of arguments about the usefulness and harm of the spreading of the Bible. In my view the Bible will continue to cause harm when used in a dogmatic and fantastic manner; it will do good when used for didactic purposes and with sensitivity.”
—Johann Wolfgang Von Goethe (1749–1832)