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Title: On a theory of the syzygetic relation of two rational integral functions, comprising an application to the theory of Sturm's functions, and that of the gratest algebraical common measure

Creator:

Sylvester, James Joseph (1814–1897)

Date issued/created:

1904

Resource type:

Text

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Publisher:

Cambridge University Press

Place of publishing:

Cambridge

Type of object:

Book/Chapter

Start page:

429

End page:

586

Detailed Resource Type:

Article

Resource Identifier:

oai:rcin.org.pl:114204

Source:

IM PAN, call no. 11.371/1 ; click here to follow the link

Language:

eng

Rights:

Public Domain

Terms of use:

Material outside of copyright protection. May be used without restrictions following from economic copyrights

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 > Books
• Digital Repository of Scientific Institutes > Literature > Books/Chapters

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Jan 5, 2022

In our library since:

Feb 20, 2020

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29

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https://rcin.org.pl./publication/139353

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• Sylvester, James Joseph (1814-1897), 1904, The collected mathematical papers of James Joseph Sylvester. Vol. 1, (1837-1853)
  • Sylvester, James Joseph (1814-1897), 1904, The collected mathematical papers of James Joseph Sylvester. Vol. 1, (1837-1853), Spis treści i dodatki
  • Sylvester, James Joseph (1814-1897), 1904, Analytical development of Fresnel's optical theory of crystals
  • Sylvester, James Joseph (1814-1897), 1904, On the motion and rest of fluids
  • Sylvester, James Joseph (1814-1897), 1904, On the motion and rest of rigid bodies
  • Sylvester, James Joseph (1814-1897), 1904, On definite double integration, supplementary to a former paper on the motion and rest of fluids
  • Sylvester, James Joseph (1814-1897), 1904, On an extension of Sir John Wilson's theorem to all numbers whatever
  • Sylvester, James Joseph (1814-1897), 1904, Note to the foregoing
  • Sylvester, James Joseph (1814-1897), 1904, On rational derivation from equations of coexistence, that is to say, a new and extended theory of elimination, Part I.
  • Sylvester, James Joseph (1814-1897), 1904, On derivation of coexistence, Part II., being the theory of simultaneous simple homogeneous equations
  • Sylvester, James Joseph (1814-1897), 1904, A method of determining by mere inspection the dervatives fron two equations of any degree
  • Sylvester, James Joseph (1814-1897), 1904, Note on elimination
  • Sylvester, James Joseph (1814-1897), 1904, On the relation of Sturm's auxiliary functions to the roots of an algebraic equation
  • Sylvester, James Joseph (1814-1897), 1904, Examples of the dialytic method of elimination as applied to ternary systems of equations
  • Sylvester, James Joseph (1814-1897), 1904, Introduction to an essay on the amount and distribution of the multiplicity of the roots of an algebraic equation
  • Sylvester, James Joseph (1814-1897), 1904, A new and more general theory of multiple roots
  • Sylvester, James Joseph (1814-1897), 1904, On alinear method of eliminating beween double, treble, and other systems of algebraic equations
  • Sylvester, James Joseph (1814-1897), 1904, Memoir on the dialytic method of elimination, Part I
  • Sylvester, James Joseph (1814-1897), 1904, Elementary researches in the analysis of combinatorial aggregation
  • Sylvester, James Joseph (1814-1897), 1904, On the existence of absolute criteria for determining the roots of numerical equations
  • Sylvester, James Joseph (1814-1897), 1904, An account of a discovery in the theory of numbers relative to the equation Ax3+By3+Cz3=Dxyz
  • Sylvester, James Joseph (1814-1897), 1904, On the equation in numbers Ax3+By3+Cz3=Dxyz, and its associate system of equations
  • Sylvester, James Joseph (1814-1897), 1904, On the general solution, in certain cases, of the equation x3+y3+z3=Mxyz
  • Sylvester, James Joseph (1814-1897), 1904, On the intersections, contacts, and other correlations of two conics expressed by indeterminate coordinates
  • Sylvester, James Joseph (1814-1897), 1904, An instantaneous demostration of Pascal's theorem by the method of indeterminate coordinates
  • Sylvester, James Joseph (1814-1897), 1904, On a new class of theorems in elimination beween quadratic functions
  • Sylvester, James Joseph (1814-1897), 1904, Additions to the articles ' On a new class of theorems', and ' On Pascal's theorem,'
  • Sylvester, James Joseph (1814-1897), 1904, On the solution of a system of equations in which three homogeneous quadratic functions of three uknown quantities are respectively equated to numerical multiples of a fourth non-homogeneous function of the same
  • Sylvester, James Joseph (1814-1897), 1904, On a porismatic property of two conics having with one another a contact of the third order
  • Sylvester, James Joseph (1814-1897), 1904, On the rotation of a rigid body about a fixed point
  • Sylvester, James Joseph (1814-1897), 1904, On the intersections of two conics
  • Sylvester, James Joseph (1814-1897), 1904, On certain general properties of homogeneous functions
  • Sylvester, James Joseph (1814-1897), 1904, Reply to Professor Boole's observations on a theorem contained in last November number of this Journal.
  • Sylvester, James Joseph (1814-1897), 1904, Sketch of a memoir on elimination, transformation and canonical forms
  • Sylvester, James Joseph (1814-1897), 1904, On the general theory of associated algebraical forms
  • Sylvester, James Joseph (1814-1897), 1904, An essay on canonical forms, supplement to a sketch of a memoir on elimination, transformation and canonical forms
  • Sylvester, James Joseph (1814-1897), 1904, Explanation of the coincidence of a theorem given by Mr Sylvester in the December number of this Journal with one stated by Professor Donkin in the June number of the same
  • Sylvester, James Joseph (1814-1897), 1904, An enumeration of the contacts of lines and surfaces of the second order
  • Sylvester, James Joseph (1814-1897), 1904, On the relation between the minor determinants of linearly equivalent quadratic functions
  • Sylvester, James Joseph (1814-1897), 1904, Note on quadratic functions and hyper-determinants
  • Sylvester, James Joseph (1814-1897), 1904, On a certain fundamental theorem of determinants
  • Sylvester, James Joseph (1814-1897), 1904, Extensions of the dialytic method of elimination
  • Sylvester, James Joseph (1814-1897), 1904, On a remarkable discovery in the theory of canonical forms and of hyperdeterminants
  • Sylvester, James Joseph (1814-1897), 1904, On the principles of the calculus of forms. Part I. Generation of Forms. Section I. On Simple Concomitance
  • Sylvester, James Joseph (1814-1897), 1904, On the principles of the calculus of forms. Part I. Section IV. Reciprocity, also Properties and Analogies of certain Invariants, &c.
  • Sylvester, James Joseph (1814-1897), 1904, Sur une propriété nouvelle de l'équation qui sert a déterminer les inégalités séculaires des planètes
  • Sylvester, James Joseph (1814-1897), 1904, On a remarkable theorem in the theory of equal roots and multiple points
  • Sylvester, James Joseph (1814-1897), 1904, Observations on a new theory of multiplicity
  • Sylvester, James Joseph (1814-1897), 1904, A demonstration of the theorem that every homogeneous quadratic polynomial is reducible by real orthogonal substitutions to the form of a sum of positive and negative squares
  • Sylvester, James Joseph (1814-1897), 1904, On Staudt's theorems cocerning the contents of polygons and polyhedrons, with a note on a new and resembling class of theorems
  • Sylvester, James Joseph (1814-1897), 1904, On a simple geometrical problem, illustrating a conjectured principle in the theory of geometrical method
  • Sylvester, James Joseph (1814-1897), 1904, On the expression of the quotients which appear in the application of Sturm's method to the discovery of the real roots of an equation
  • Sylvester, James Joseph (1814-1897), 1904, On a theorem concerning the combination of determinants
  • Sylvester, James Joseph (1814-1897), 1904, Note on the calculus of forms
  • Sylvester, James Joseph (1814-1897), 1904, On the relation beween the volume of a tetrahedron and the product of the sixteen algebraical values of its superficies
  • Sylvester, James Joseph (1814-1897), 1904, On the calculus of forms, otherwise the theory of invariants
  • Sylvester, James Joseph (1814-1897), 1904, Théorème sur les limites des racines réelles des équations algébriques
  • Sylvester, James Joseph (1814-1897), 1904, Nouvelle méthode pour trouver une limite supérieure et une limite inférieure des racines réelles d'une équation algébrique quelconque
  • Sylvester, James Joseph (1814-1897), 1904, On a theory of the syzygetic relation of two rational integral functions, comprising an application to the theory of Sturm's functions, and that of the gratest algebraical common measure
  • Sylvester, James Joseph (1814-1897), 1904, On the conditions necessary and sufficient to be satisfied in order that a function of any number of variables may be linearly equivalent to a function of any less number of variables
  • Sylvester, James Joseph (1814-1897), 1904, On Mr Cayley's impromptu demonstration of the rule for determining at sight the degree of any symmetrical function of the roots of an equation expressed in terms of the coefficients
  • Sylvester, James Joseph (1814-1897), 1904, A proof that all the invariants to a cubic ternary form are rational functions of Aronhold's invariants and of a cognate theorem for biquadratic binary forms
  • Sylvester, James Joseph (1814-1897), 1904, On a remarkable modification of Sturm's theorem
  • Sylvester, James Joseph (1814-1897), 1904, Note on a remarkable modification of Sturm's theorem, and on a new rule for finding superior and inferior limits to the roots of an equation
  • Sylvester, James Joseph (1814-1897), 1904, On the new rule for finding superior and inferior limits to the real roots of any algebraical equation
  • Sylvester, James Joseph (1814-1897), 1904, Note on the new rule of limits
  • Sylvester, James Joseph (1814-1897), 1904, The algebraical theory of the secular inequality determinantive equation generalised
  • Sylvester, James Joseph (1814-1897), 1904, On the explicit values of Sturm's quotients
  • Sylvester, James Joseph (1814-1897), 1904, On a fundamental rule in the algorithm of continued fractions
  • Sylvester, James Joseph (1814-1897), 1904, On a generalisation of the Lagrangian theorem of interpolation
  • Sylvester, James Joseph (1814-1897), 1904, Note on Sylvester's Theormes on determinants in this volue

Edition name	Date
Sylvester, James Joseph (1814-1897), 1904, On a theory of the syzygetic relation of two rational integral functions, comprising an application to the theory of Sturm's functions, and that of the gratest algebraical common measure	Jan 5, 2022

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