Majorization and measures of classical polarization in three dimensions.

Application of the concentration- area method to separate induced polarization anomalies data against classical statistics: A case study of Hamyj Porphyry Copper Deposit; Iran

Majorization for partially ordered sets

We generalize the classical notion of majorization in Rn to a majorization order for functions defined on a partially ordered set P . In this generalization we use inequalities for partial sums associated with ideals in P . Basic properties are established, including connections to classical majorization. Moreover, we investigate transfers (given by doubly stochastic matrices), complexity issue...

Effect of Classical Music on Physiological Characteristics and Observational and Behavioral Measures of Pain in Unconscious Patients Admitted to Intensive Care Units

Objective: Assessment and management of pain in patients under artificial respiration and hospitalized in Intensive Care Units (ICUs) are difficult, and is less considered by physicians and nurses. This study aims to determine the effect of classical music on physiological characteristics, and observational and behavioral measures of pain in unconscious patients admitted to ICUs. Methods: This...

Matrix majorization Geir Dahl

We study the conceptmatrix majorization: for two real matrices A and B having m rows we say that A majorizes B if there is a row-stochastic matrix X with AX = B. A special case is classical notion of vector majorization. Several properties and characterizations of matrix majorization are given. Moreover, interpretations of the concept in mathematical statistics are discussed and some combinator...

Majorization framework for balancedlattice designs

This paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogo...