variational equation
nounUK /ˌveəriˈeɪʃənl ɪˈkweɪʒn/
US /ˌveriˈeɪʃənl ɪˈkweɪʒən/
A math rule that shows how a small change in a problem changes the answer.
The scientist used a variational equation to see how a tiny push would change the path of the moving object.
OTHER MEANINGS
2. An equation describing how a function changes when its input is slightly altered.
In optimization, the variational equation helps find the best shape for a curve.
3. A relation in physics that connects small changes in a system's state to small changes in its motion.
Engineers solved the variational equation to predict how the bridge would wobble in the wind.
4. A mathematical statement used to study families of solutions that depend on a small parameter.
The student wrote the variational equation to compare the two nearly identical orbits.