The Principle of Proportionality in Modern Ius Gentium

the tragedy of modern man in arthur millers world

what miller wants is a theatre of heightened consciousness. he speaks of two passions in a man, the passion to "feel" and the passion "know". he belives that we can have more of the latter. he says: drama is akin to the other inventions of man in that it ought to help us know more and not merely to spend our feelings. the writing of the crucible shows us that he is trying to give more heightene...

Proportionality in Modern Asymmetrical Wars

A Hirzebruch proportionality principle in Arakelov geometry

We show that a conjectural extension of a fixed point formula in Arakelov geometry implies results about a tautological subring in the arithmetic Chow ring of bases of abelian schemes. Among the results are an Arakelov version of the Hirzebruch proportionality principle and a formula for a critical power of ĉ1 of the Hodge bundle. 2000 Mathematics Subject Classification: 14G40, 58J52, 20G05, 20...

Continuous Cohomology and Gromov Proportionality Principle

Let X be a topological space, and let C(X) be the complex of singular cochains on X with coefficients in R. We denote by C c (X) (resp. C ∗ b (X)) the subcomplex of C(X) given by continuous (resp. locally bounded Borelian) cochains, i.e. by such cochains whose restriction to the space of simplices (endowed with the compact-open topology) defines a continuous (resp. locally bounded Borelian) rea...

A Proportionality Principle for Partitioning Problems

In a general class of measure-partitioning or fair-division problems, the extremal case occurs when the measures are proportional. Applications are given to classical and recent fair-division problems, and to statistical decision theory, mathematical physics, Banach space theory, and inequalities for continuous random variables.