A Fundamental Theorem on One-parameter Continuous Groups of Projective Functional Transformations.

نویسنده

  • L S Kennison
چکیده

In the preparation of the material and the interpretation of the results, I have had the cooperation of Dr. Mary B. Stark of the Flower Hospital Staff and the assistance of Miss A. K. Marshall of the Bell Telephone Laboratories. The photographs which accompany this paper are sufficiently described in the titles and need not be specifically dealt with here. 1 Lucas, "An Introduction to Ultra-Violet Metallography," Trans. Am. Inst. Mining and Metalurg. Eng., February, 1926. 2Lucas, "A Resume of the Development and Application of High Power Metallography and the Ultra-Violet Microscope," 1, Proc. Int. Cong. Test. Materials, Amsterdam, Holland, 1927. 3Lucas, "Photomicrography and Its Application to Mechanical Engineering," Mech. Eng., 50, pp. 205-212, March, 1928. 4 Kohler, "Microphotographic Examinations with Ultra-Violet Light," Zeit. Wissensch. Mikroskopie und fur Mik. Tech., 21, 1904, pp. 129-165 and 273-304.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Transformations of Grassmannians and automorphisms of classical groups

We consider transformations preserving certain linear structure in Grassmannians and give some generalization of the Fundamental Theorem of Projective Geometry and the Chow Theorem [Ch]. It will be exploited to study linear (k, n − k)-involutions, 1 < k < n − 1. The analogy of the J. Dieudonné and C. E. Rickart result will be obtained.

متن کامل

On a characterization of convexity-preserving maps, Davidon's collinear scalings and Karmarkar's projective transformations

In a recent paper, the authors have proved results characterizing convexity-preserving maps deened on a subset of a not-necessarily nite dimensional real vector space as projective maps. The purpose of this note is threefold. First, we state a theorem characterizing continuous, injective, convexity-preserving maps from a relatively open, connected subset of an aane subspace of R m into R n as p...

متن کامل

On p-semilinear transformations

In this paper, we introduce $p$-semilinear transformations for linear algebras over a field ${bf F}$ of positive characteristic $p$, discuss initially the elementary properties of $p$-semilinear transformations, make use of it to give some characterizations of linear algebras over a field ${bf F}$ of positive characteristic $p$. Moreover, we find a one-to-one correspondence between $p$-semiline...

متن کامل

Fundamental Limitations on Projective Invariants of Planar Curves

In this paper, some fundamental limitations of projective invariants of non-algebraic planar curves are discussed. It is shown that all curves within a large class can be mapped arbitrarily close to a circle by projective transformations. It is also shown that arbitrarily close to each of a finite number of closed planar curves there is one member of a set of projectively equivalent curves. Thu...

متن کامل

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 16 9  شماره 

صفحات  -

تاریخ انتشار 2004