Minkowski’s Embedding

نویسنده

  • MAURICE CRAIG
چکیده

It’s a catchy term, but let us beware of mistaking a slogan for an argument! Dissatisfied with several features of [2, p. 224–225], I attempt here belatedly to restore the original train of thought. Fighting fire with fire, I coin a new term of my own, calling the expression (1) the “total norm” of ξ. Though chosen in reference to the summation involved, the name is happily consistent with the terminology for totally real or totally complex fields.

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

Minkowski, Mathematicians, and the Mathematical Theory of Relativity

T HE IMPORTANCE OF THE THEORY OF RELATIVITY for twentieth-century physics, and the appearance of the Göttingen mathematician Hermann Minkowski at a turning point in its history have both attracted significant historical attention. The rapid growth in scientific and philosophical interest in the principle of relativity has been linked to the intervention of Minkowski by Tetu Hirosige, who identi...

متن کامل

2 00 2 Successive Minima and Lattice Points

The main purpose of this note is to prove an upper bound on the number of lattice points of a centrally symmetric convex body in terms of the successive minima of the body. This bound improves on former bounds and narrows the gap towards a lattice point analogue of Minkowski’s second theorem on successive minima. Minkowski’s proof of his second theorem is rather lengthy and it was also criticis...

متن کامل

8 J ul 2 00 8 What is missing from Minkowski ’ s “ Raum und Zeit ” lecture

This contribution tries to highlight the importance of Minkowski’s “Raum und Zeit” lecture in a “negative” way, where negative is taken in the photographic sense of reversing lights and shades. Indeed, we focus on the “shades” of Minkowski’s text, i.e. what is missing, or misunderstood. In particular, we focus on two issues: (i) why are Poincaré’s pioneering contributions to four-dimensional ge...

متن کامل

A Functional Generalization of Diamond–α Integral Minkowski’s Type Inequality on Time Scales

In this paper, we establish a functional generalization of Minkowski’s type inequality on time scales based on diamond-α integral, which is introduced as a linear combination of the delta and nabla integrals. Some related results are also obtained.

متن کامل

Two Mappings Related to Minkowski ’ S Inequalities Xiu - Fen

In this paper, by the Minkowski’s inequalities we define two mappings, investigate their properties, obtain some refinements for Minkowski’s inequalities and some new inequalities.

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012