Privacy 3.0 - The Principle of Proportionality

Indicating the principle of privacy in Iranian- Islamic urban planning

The principle of "privacy" is one of the principles of Islamic worldview and culture, which is considered as one of the important moral and cultural values ​​in the social life of Muslims. Throughout the history of urbanization in Iran, the concept of privacy and respect for privacy has been influential from the formation of architectural space to the spatial organization of cities and Locating...

Privacy and Proportionality

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.

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...