Definition of Brachistochrone. Meaning of Brachistochrone. Synonyms of Brachistochrone

- In physics and mathematics, a brachistochrone curve (from Ancient Gr**** βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or curve of fastest descent...
- circle of radius R − 2r. Each hypocycloid (for any value of r) is a brachistochrone for the gravitational potential inside a homogeneous sphere of radius...
- u'}}=C\,.} An example of an application of the Beltrami identity is the brachistochrone problem, which involves finding the curve y = y ( x ) {\displaystyle...
- the acceleration of gravity. The tautochrone curve is related to the brachistochrone curve, which is also a cycloid. It was in the left hand try-pot of...
- but not without friction. Their most bitter dispute concerned the brachistochrone curve problem, or the equation for the path followed by a particle...
- Bellman equation. While classical variational problems, such as the brachistochrone problem, can be solved using the Hamilton–Jacobi–Bellman equation,...
- anonymously submitted solution to Bernoulli's challenge regarding the Brachistochrone curve. tantum religio potuit suadere malorum to such heights of evil...
- variations for a general introduction. Action (physics) Averaged Lagrangian Brachistochrone curve Calculus of variations Catenoid Cycloid Dirichlet principle Euler–Lagrange...
- framework for studying transient dynamic waves in elastic solids. The brachistochrone problem can be formulated and expressed as a variational problem, emphasizing...
- upward, is the curve of fastest descent under uniform gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object...