Download or read book Multilinear Functions of Direction and Their Uses in Differential Geometry written by Eric Harold Neville and published by . This book was released on 1921 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multilinear Functions of Direction written by Eric Harold Neville and published by Forgotten Books. This book was released on 2015-06-25 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Multilinear Functions of Direction: And Their Uses in Differential Geometry The distinctive feature of this work is that the functions discussed are primarily not functions of a single variable direction but functions of several independent directions. Functions of a single direction emerge when the directions originally independent become related, and a large number of elementary theorems of differential geometry express in different terms a few properties of a few simple functions; since one of the objects of the essay is to emphasise the coordinating power of the theory, the presence of many results with which every reader will be thoroughly familiar calls for no apology. In the applications to the geometry of a single surface two functions thought to be new are described. The first, studied in Section 4, depends on two tangential directions, reduces to normal curvature when these directions coincide, and is called here bilinear curvature. I became acquainted with this function in 1911 and used it in lectures early in 1914. The second, the subject of. Section 6, depends on three directions, and reduces to the cubic function associated with the name of Laguerre; the function is symmetrical, and because the equations of Codazzi can be read as asserting its symmetry I have called the general function the Codazzi function. The theory of multilinear functions doe9 not merely coordinate. It affords simple proofs of the relations between the cubic functions of Laguerre and Darboux (6'231, 6 234) and of formulae (7 242, 7-351, 7-352) for the twist of a family of surfaces, and it leads naturally to expressions (7 241) for the rates of change of the two principal curvatures of a variable member of a family of surfaces at the current point of an orthogonal trajectory of the family, expressions that are interesting because their existence was deduced by Forsyth in 1903 from an enumeration of invariants. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Multilinear Functions of Direction and Their Uses in Differential Geometry written by Eric Harold Neville and published by Palala Press. This book was released on 2015-12-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Multilinear Functions of Direction written by Eric Harold Neville and published by Forgotten Books. This book was released on 2018-02-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Multilinear Functions of Direction: And Their Uses in Differential Geometry The theory of multilinear functions does not merely coordinate. It affords simple proofs of the relations between the cubic functions of Laguerre and Barboux and of formulae 7851, 7352) for the twist of a family of surfaces, and it leads naturally to expressions (7241) for the rates of change of the two principal curvatures of a variable member of a family of surfaces at the current point of an orthogonal trajectory of the family, expres sions that are interesting because their existence was deduced by Forsyth in 1903 from an enumeration of invariants. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Multilinear Functions of Direction and Their in Differential Geometry written by Eric Harold Neville and published by Wentworth Press. This book was released on 2019-03-07 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Multilinear Functions of Direction and Their in Differential Geometry written by Eric Harold Neville and published by Palala Press. This book was released on 2016-05-16 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Multilinear Functions of Direction and Their Uses in Differential Geometry by Eric Harold Neville written by Eric Harold Neville and published by . This book was released on 1921 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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