- {1}{a_{2}+{\cfrac {1}{\ddots +{\cfrac {1}{a_{n}}}}}}}}}} In mathematics, a
continued fraction is an
expression obtained through an
iterative process of representing...
- a
branch of mathematics, a
generalized continued fraction is a
generalization of
regular continued fractions in
canonical form, in
which the partial...
- a
common fraction. But
every number,
including π, can be
represented by an
infinite series of
nested fractions,
called a
continued fraction: π = 3 + 1...
- In mathematics, an
infinite periodic continued fraction is a
continued fraction that can be
placed in the form x = a 0 + 1 a 1 + 1 a 2 + 1 ⋱ a k + 1 a...
- Gauss's
continued fraction is a
particular class of
continued fractions derived from
hypergeometric functions. It was one of the
first analytic continued fractions...
-
continued fractions, Euler's
continued fraction formula is an
identity connecting a
certain very
general infinite series with an
infinite continued fraction...
- A
fraction (from Latin: fractus, "broken")
represents a part of a
whole or, more generally, any
number of
equal parts. When
spoken in
everyday English...
- The Rogers–Ramanujan
continued fraction is a
continued fraction discovered by
Rogers (1894) and
independently by
Srinivasa Ramanujan, and
closely related...
- truncated, with an
ellipsis to show that they
continue.
Rational numbers have two
continued fractions; the
version in this list is the
shorter one. Decimal...
-
irreducible quadratic). A
simple continued fraction is a
continued fraction where the
denominator is 1. The
simple continued fraction expansion of Champernowne's...
