- In
physics and mathematics, a
brachistochrone curve (from
Ancient Gr**** βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or
curve of
fastest descent...
- 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...
-
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...
- 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,...
- 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...
-
framework for
studying transient dynamic waves in
elastic solids. The
brachistochrone problem can be
formulated and
expressed as a
variational problem, emphasizing...
- u'}}=C\,.} An
example of an
application of the
Beltrami identity is the
brachistochrone problem,
which involves finding the
curve y = y ( x ) {\displaystyle...
- century. He then used
calculus of
variations in his
solving of the
brachistochrone curve problem in 1697,
which was
posed by
Johann Bernoulli in 1696...
-
Palimpsest Archimedes' use of
infinitesimals Arithmetization of
analysis Brachistochrone curve Chinese mathematics Cours d'Analyse
Edinburgh Mathematical Society...
