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Leçons sur les Fonctions de Lignes (French Edition)

Volterra, Vito

Pérès, Joseph

History

Wentworth Press

A fundamental property of permutability is expressed in the following theorem: Two functions permutable with a third are permutable with each other. A group of permutable functions is characterized by a function of the first order of which the first and second partial derivatives exist and are finite. Consequently when we consider a group of permutable functions, we shall always assume that there is known to us a function of the first order which has finite derivatives of the first and second orders and belongs to the group. This function shall be spoken of as the fundamental function of the group. When a fundamental function of the group has the canonical form, we shall speak of the group as a canonical group. A remarkable group of permutable functions is the so-called closed-cycle group, which is made up of functions of the form f(y-x). Unity belongs to this group, and it is deduced immediately.

The Theory of Permutable Functions

Reference

Blurb

A general theory of the functions depending on a continuous set of values of another function, this volume is based on the author's fundamental notion of the transition from a finite number of variables to a continually infinite number. Deals primarily with integral equations, and also addresses the calculus of variations. 1930 edition.

Theory of Functionals and of Integral and Integro-Differential Equations (Dover Books on Mathematics)

Science & Math

MATHEMATICS

Mathematics

Dover Publications

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The Theory Of Permutable Functions (1915)

Kessinger Publishing

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.

Lectures delivered at the celebration of the twentieth anniversary of the foundation of Clark Univer

Rutherford, Ernest

Barus, Carl

BiblioLife

Equations Integrales (French Edition)

Tomassetti, M.

Zarlatti, F. S.

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