calculus of variations (Meaning)
Wordnet
calculus of variations (n)
the calculus of maxima and minima of definite integrals
Synonyms & Antonyms of calculus of variations
No Synonyms and anytonyms found
calculus of variations Sentence Examples
- The calculus of variations is a branch of mathematical analysis concerned with finding the paths, curves, surfaces, or functions for which a given function has a stationary value.
- Euler made significant contributions to the calculus of variations, laying the foundation for subsequent developments in the field.
- The problem of finding the shortest distance between two points in space can be solved using the calculus of variations.
- Calculus of variations is extensively applied in physics, particularly in problems related to energy minimization and optimization.
- Lagrange introduced the method of multipliers, which has become a standard tool in the calculus of variations.
- The calculus of variations is used to derive the equations governing the motion of particles in classical mechanics.
- Variational principles in physics, such as Hamilton's principle, are formulated using the calculus of variations.
- The calculus of variations plays a crucial role in the study of optimal control theory, which has applications in engineering and economics.
- The study of geodesics, which are the shortest paths on curved surfaces, relies on the calculus of variations.
- Calculus of variations techniques are also employed in fields like computer vision and image processing for solving optimization problems.
FAQs About the word calculus of variations
the calculus of maxima and minima of definite integrals
No synonyms found.
No antonyms found.
The calculus of variations is a branch of mathematical analysis concerned with finding the paths, curves, surfaces, or functions for which a given function has a stationary value.
Euler made significant contributions to the calculus of variations, laying the foundation for subsequent developments in the field.
The problem of finding the shortest distance between two points in space can be solved using the calculus of variations.
Calculus of variations is extensively applied in physics, particularly in problems related to energy minimization and optimization.
