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Title: On the number of fractions contained in any "Farey series" of which the limiting number is given

Creator:

Sylvester, James Joseph (1814–1897)

Date issued/created:

1912

Resource type:

Text

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Publisher:

Cambridge University Press

Place of publishing:

Cambridge

Type of object:

Book/Chapter

Start page:

101

End page:

109

Detailed Resource Type:

Article

Resource Identifier:

oai:rcin.org.pl:119618

Source:

IM PAN, call no. 11.371/4 ; click here to follow the link

Language:

eng

Rights:

Public Domain

Terms of use:

Zasób wyłączony spod ochrony prawa autorskiego. Korzystanie dozwolone bez ograniczeń wynikających z autorskich praw majątkowych.

Digitizing institution:

Institute of Mathematics of the Polish Academy of Sciences

Original in:

Library of the Institute of Mathematics of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget. ; European Union. European Regional Development Fund

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Open

Object collections:

• Digital Repository of Scientific Institutes > Partners' collections > Institute of Mathematics PAS > Periodicals
• Digital Repository of Scientific Institutes > Literature > Books/Chapters

Last modified:

Jul 31, 2023

In our library since:

Mar 31, 2020

Number of object content downloads / hits:

29

All available object's versions:

https://rcin.org.pl./publication/145247

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• Sylvester, James Joseph (1814-1897), 1912, The collected mathematical papers of James Joseph Sylvester. Vol. 4, (1882-1897)
  • Sylvester, James Joseph (1814-1897), 1912, A constructive theory of partitions, arranged in three acts, an interact and an exodion
  • Sylvester, James Joseph (1814-1897), 1912, Sur les nombres de fractions ordinaires inégales [...]
  • Sylvester, James Joseph (1814-1897), 1912, Note sur le théorème de Legendre cité dans une note insérée dans les Comptes Rendus
  • Sylvester, James Joseph (1814-1897), 1912, Sur le produit indéfini 1-x.1-x2.1-x3...
  • Sylvester, James Joseph (1814-1897), 1912, Sur un théorème de partitions
  • Sylvester, James Joseph (1814-1897), 1912, Preuve graphique du théorème d'Euler sur la partition des nombres pentagonaux
  • Sylvester, James Joseph (1814-1897), 1912, Démonstration graphique d'un théorème d'Euler concernant les partitions des nombres
  • Sylvester, James Joseph (1814-1897), 1912, Sur un théorème de partitions de nombres complexes contenu dans un théorème de Jacobi
  • Sylvester, James Joseph (1814-1897), 1912, On the number of fractions contained in any "Farey series" of which the limiting number is given
  • Sylvester, James Joseph (1814-1897), 1912, On the equation to the secular inequalities in the planetary theory
  • Sylvester, James Joseph (1814-1897), 1912, On the involution and evolution of quaternions
  • Sylvester, James Joseph (1814-1897), 1912, On the involution of two matrices of the second order
  • Sylvester, James Joseph (1814-1897), 1912, Sur les quantités formant un groupe de nonions analogues aux quaternions de Hamilton
  • Sylvester, James Joseph (1814-1897), 1912, On quaternions, nonions, sedenions, etc.
  • Sylvester, James Joseph (1814-1897), 1912, On involutants and other allied species of invariants to matrix systems
  • Sylvester, James Joseph (1814-1897), 1912, On the three laws of motion in the world of universal algebra
  • Sylvester, James Joseph (1814-1897), 1912, Equations in matrices
  • Sylvester, James Joseph (1814-1897), 1912, Sur les quantités formant un groupe de nonions analogues aux quaternions de Hamilton
  • Sylvester, James Joseph (1814-1897), 1912, Sur une note récente de M. D. André
  • Sylvester, James Joseph (1814-1897), 1912, Sur la solution d'une classe très étendue d'équations en quaternions
  • Sylvester, James Joseph (1814-1897), 1912, Sur la correspondance entre deux espèces différentes de fonctions de deux systèmes de quantités [...]
  • Sylvester, James Joseph (1814-1897), 1912, Sur le théorème de M. Broschi, relatif aux fonctions symétriques
  • Sylvester, James Joseph (1814-1897), 1912, Sur une extension de la loi de Harriot relative aux équations algébriques
  • Sylvester, James Joseph (1814-1897), 1912, Sur les équations monothétiques
  • Sylvester, James Joseph (1814-1897), 1912, Sur l'équation en matrices px=xq
  • Sylvester, James Joseph (1814-1897), 1912, Sur la solution du cas le plus général des équations linéaires en quantités binaires, c'est-à-dire en quaternions ou en matrices du second ordre
  • Sylvester, James Joseph (1814-1897), 1912, Sur les deux méthodes, celle de Hamilton et celle de l'auteur, pour résoudre l'équation linéaire en quaternions
  • Sylvester, James Joseph (1814-1897), 1912, Sur la solution explicite de l'équation quadratique de Hamilton en quaternions ou en matrices du second ordre
  • Sylvester, James Joseph (1814-1897), 1912, Sur la résolution générale de l'équation linéaire en matrices d'un ordre quelconque
  • Sylvester, James Joseph (1814-1897), 1912, Sur l'équation linéaire trinôme en matrices d'un ordre quelconque
  • Sylvester, James Joseph (1814-1897), 1912, Lectures on the principles of universal algebra
  • Sylvester, James Joseph (1814-1897), 1912, On the solution of a class of equations in quaternions
  • Sylvester, James Joseph (1814-1897), 1912, On Hamilton's quadratic equation and the general unilateral equation in matrices
  • Sylvester, James Joseph (1814-1897), 1912, Note on Captain MacMahon's transformation of the theory of invariants
  • Sylvester, James Joseph (1814-1897), 1912, On the D'Alembert-Carnot geometrical paradox and its resolution
  • Sylvester, James Joseph (1814-1897), 1912, Sur une nouvelle théorie de formes algébriques
  • Sylvester, James Joseph (1814-1897), 1912, Note on Schwarzian derivatives
  • Sylvester, James Joseph (1814-1897), 1912, On reciprocants
  • Sylvester, James Joseph (1814-1897), 1912, Note on certain elementary geometrical notions and determinations
  • Sylvester, James Joseph (1814-1897), 1912, On the trinomial unilateral quadratic equation in matrices of the second order
  • Sylvester, James Joseph (1814-1897), 1912, Inaugural lecture at Oxford, on the method of reciprocants
  • Sylvester, James Joseph (1814-1897), 1912, Lectures on the theory of reciprocants
  • Sylvester, James Joseph (1814-1897), 1912, Sur les réciprocants purs irréductibles du quatrième ordre
  • Sylvester, James Joseph (1814-1897), 1912, Sur une extension du théorème relatif au nombre d'invariants asyzygétique d'un type donné à une classe de formes analogues
  • Sylvester, James Joseph (1814-1897), 1912, Note sur les invariants différentiels
  • Sylvester, James Joseph (1814-1897), 1912, Sur l'équation différentielle d'une courbe d'ordre quelconque
  • Sylvester, James Joseph (1814-1897), 1912, Sur une extension d'un théorème de Clebsch relatif aux courbes du quatrième degré
  • Sylvester, James Joseph (1814-1897), 1912, On the differential equation to a curve of any order
  • Sylvester, James Joseph (1814-1897), 1912, On the so-called Tschrinhausen transformation
  • Sylvester, James Joseph (1814-1897), 1912, Sur une découverte de M. James Hammond relative à une certaine série de nombres qui figurent dans la théorie de la transformatino Tschirnhausen
  • Sylvester, James Joseph (1814-1897), 1912, On Hamilton's numbers
  • Sylvester, James Joseph (1814-1897), 1912, Sur les nombres dits de Hamilton
  • Sylvester, James Joseph (1814-1897), 1912, Note on a proposed addition to the vocabulary of ordinary arithmetic
  • Sylvester, James Joseph (1814-1897), 1912, On certain inequalities relating to prime numbers
  • Sylvester, James Joseph (1814-1897), 1912, Sur les nombres parfaits
  • Sylvester, James Joseph (1814-1897), 1912, Sur une classe spéciale des diviseurs de la somme d'une série géométrique
  • Sylvester, James Joseph (1814-1897), 1912, Sur l'impossibilité de l'existence d'un nombre parfait impair qui ne contient pas au moins 5 diviseurs premiers distincts
  • Sylvester, James Joseph (1814-1897), 1912, Sur les nombres parfaits
  • Sylvester, James Joseph (1814-1897), 1912, Preuve élémentaire du théorème de Dirichlet sur les progressions arithmétiques dans les cas où la raison est 8 ou 12
  • Sylvester, James Joseph (1814-1897), 1912, On the divisiors of the sum of a geometrical series whose first term is unity and common ratio any positive or negative integer
  • Sylvester, James Joseph (1814-1897), 1912, Note on certain difference equations which possess an unique integral
  • Sylvester, James Joseph (1814-1897), 1912, Sur la réduction biorthogonale d'une forme linéo-linéaire à sa forme canonique
  • Sylvester, James Joseph (1814-1897), 1912, Sur la correspondance complète entre les fractions continues qui expriment les deux racines d'une équation quadratique [...]
  • Sylvester, James Joseph (1814-1897), 1912, Sur la représentation des fractions continues qui expriment les deux racines d'une équation quadratique
  • Sylvester, James Joseph (1814-1897), 1912, Sur la valeur d'une fraction continue finie et purement périodique
  • Sylvester, James Joseph (1814-1897), 1912, A new proof that a general quadric may be reduced to its canonical form (that is, a linear function of squares) by means of a real orthogonal substitution
  • Sylvester, James Joseph (1814-1897), 1912, On the reduction of a bilinear quantic of the nth order to the form of a sum of n products by a double orthogonal substitution
  • Sylvester, James Joseph (1814-1897), 1912, On an arithmetical theorem in periodic continued fractions
  • Sylvester, James Joseph (1814-1897), 1912, On a funicular solution of Buffon's "problem of the needle" in its most general form
  • Sylvester, James Joseph (1814-1897), 1912, Sur le rapport de la circonférence au diamètre
  • Sylvester, James Joseph (1814-1897), 1912, Preuve que pi ne peut pas être racine d'une équation algébrique à coefficients entiers
  • Sylvester, James Joseph (1814-1897), 1912, On arithmetical series
  • Sylvester, James Joseph (1814-1897), 1912, Note on a nine schoolgirls problem
  • Sylvester, James Joseph (1814-1897), 1912, On the Goldbach-Euler theorem regarding prime numbers
  • Sylvester, James Joseph (1814-1897), 1912, On the number of proper vulgar fractions in their lowest terms that can be formed with integers not greater than a given number
  • Sylvester, James Joseph (1814-1897), 1912, Index to Professor Sylvester's contributions to "Mathematica questions... from The Educational Times"
  • Sylvester, James Joseph (1814-1897), 1912, Index to the four volumes of the "Collected mathematical papers" of James Joseph Sylvester
  • Sylvester, James Joseph (1814-1897), 1912, The collected mathematical papers of James Joseph Sylvester. Vol. 4, (1882-1897), Spis treści i dodatki

Edition name	Date
Sylvester, James Joseph (1814-1897), 1912, On the number of fractions contained in any "Farey series" of which the limiting number is given	Jul 31, 2023

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