Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint frameworks in R in terms of the structure of the underlying graph G. The goal of this article is to broaden the foundations of combinatorial rigidity theory by replacing G with an arbitrary representable matroid M . The ideas of rigidity independence and parallel independence, as well as Laman’s and Recski’...

STUDY OBJECTIVES To analyse long term effects of working conditions experienced at an advanced age, and after retirement by quantifying occupational strain, impairment, and disability to establish their interrelation. DESIGN Retrospective study. PARTICIPANTS Retired miners from The French Coal Board who had worked in the coal fields of the Loire valley. From a potential population of 507 re...

We propose in this note the study of quantum channels from association schemes. This is done by interpreting the (0, 1)-matrices of a scheme as the Kraus operators of a channel. Working in the framework of one-shot zero-error information theory, we give bounds and closed formulas for various independence numbers of the relative non-commutative (confusability) graphs, or, equivalently, graphical...

The formation of reader’s independence in elementary schoolchildren is an urgent object modern primary education. article discusses forms working with a children’s book that combine traditional means and electronic resources: meeting writers, creating video, using platforms, downloading virtual board, projects, maintaining interactive diary. Each form built on the cooperation children adults bo...

The paper examines Axiomatic Design in the light of its possible links to an evolved version of the Theory of Inventive Problem Solving, TRIZ. The paper highlights incompatibilities between the the Independence Axiom and the Ideality concept contained within TRIZ, but also several areas of mutually beneficial integration between the two methods – at philosophical, methodological and working too...

Two objects are independent if they do not affect each other. Independence is wellunderstood in classical information theory, but less in algorithmic information theory. Working in the framework of algorithmic information theory, the paper proposes two types of independence for arbitrary infinite binary sequences and studies their properties. Our two proposed notions of independence have some o...

The generalized estimating equation GEE approach is becoming more and more popular in handling correlated response data for example in longitudinal studies An attractive property of the GEE is that one can use some working correlation structure that may be wrong but the resulting regression coe cient estimate is still consistent and asymptotically normal One convenient choice is the independenc...