variational Definition
- 1relating to or involving variation or change
- 2relating to or denoting a method of solving mathematical problems by finding the maximum or minimum value of a function
Using variational: Examples
Take a moment to familiarize yourself with how "variational" can be used in various situations through the following examples!
Example
The variational approach is widely used in physics and engineering.
Example
Variational methods are used to solve optimization problems in computer science.
Example
The variational principle states that the true solution minimizes the energy functional.
variational Synonyms and Antonyms
Synonyms for variational
Antonyms for variational
- unchanging
- constant
Phrases with variational
a branch of mathematics that deals with the study of extremum (maximum and minimum) problems for functionals, which are mappings from a set of functions to the real numbers.
Example
Variational calculus is used in physics to derive the equations of motion for particles and fields.
a type of mathematical problem that involves finding a solution to an inequality involving a functional, subject to certain constraints.
Example
Variational inequalities arise in many areas of applied mathematics, such as economics, game theory, and optimization.
a mathematical technique used to find approximate solutions to problems that cannot be solved exactly.
Example
Variational methods are widely used in quantum mechanics to find approximate wave functions for atoms and molecules.
Summary: variational in Brief
The term 'variational' [ˌvɛərɪˈeɪʃənəl] refers to change or variation, and can also denote a mathematical method for solving problems by finding the maximum or minimum value of a function. It is used in physics, engineering, computer science, and other fields. Examples include 'The variational approach is widely used in physics and engineering.' and 'Variational methods are used to solve optimization problems in computer science.'
