Add to ORKGnoneIntegers can be expressed as rationals, but the number of all rationals is equal to the number of all positive integers. The Stern–Brocot Tree shows this by enumerating the rationals. It was found by the German mathematician Moritz Stern in 1858 and the French clockmaker Achille Brocot in 1860Componente Curricular::Ensino Fundamental::Séries Finais::Matemátic
International audienceIn 1842, Dirichlet observed that any real number α can be obtained as the limi...
We prove that any IN-rational sequence s = (s n ) n1 of nonnegative integers satisfying the Kraft st...
Bates, B. (2014). The Stern-Brocot continued fraction. Integers: electronic journal of combinatorial...
noneIntegers can be expressed as rationals, but the number of all rationals is equal to the number o...
The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We forma...
The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We forma...
AbstractAlgorithms can be used to prove and to discover new theorems. This paper shows how algorithm...
Each node in the tree contains a rational number a/b. The left child of each node is a/(a+b) and the...
Each node in the tree contains a rational number a/b. The left child of each node is a/(a+b) and the...
AbstractIn this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on...
In this paper, we study the representation of a number by some other numbers. For instance, an inte...
AbstractIn this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on...
We consider a fundamental number theoretic problem where practial applications abound. We decompose ...
The arithmetic of natural numbers has a natural and simple encoding within sets, and the simplest se...
We present a series of programs for enumerating the rational numbers without duplication, drawing on...
International audienceIn 1842, Dirichlet observed that any real number α can be obtained as the limi...
We prove that any IN-rational sequence s = (s n ) n1 of nonnegative integers satisfying the Kraft st...
Bates, B. (2014). The Stern-Brocot continued fraction. Integers: electronic journal of combinatorial...
noneIntegers can be expressed as rationals, but the number of all rationals is equal to the number o...
The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We forma...
The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We forma...
AbstractAlgorithms can be used to prove and to discover new theorems. This paper shows how algorithm...
Each node in the tree contains a rational number a/b. The left child of each node is a/(a+b) and the...
Each node in the tree contains a rational number a/b. The left child of each node is a/(a+b) and the...
AbstractIn this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on...
In this paper, we study the representation of a number by some other numbers. For instance, an inte...
AbstractIn this paper we present the Stern–Brocot tree as a basis for performing exact arithmetic on...
We consider a fundamental number theoretic problem where practial applications abound. We decompose ...
The arithmetic of natural numbers has a natural and simple encoding within sets, and the simplest se...
We present a series of programs for enumerating the rational numbers without duplication, drawing on...
International audienceIn 1842, Dirichlet observed that any real number α can be obtained as the limi...
We prove that any IN-rational sequence s = (s n ) n1 of nonnegative integers satisfying the Kraft st...
Bates, B. (2014). The Stern-Brocot continued fraction. Integers: electronic journal of combinatorial...