A symmetric coefficient of correlation for several variables

Orthogonal polynomials of several variables for a radially symmetric weight

This paper considers tight frame decompositions of the Hilbert space Pn of orthogonal polynomials of degree n for a radially symmetric weight on IR, e.g., the multivariate Gegenbauer and Hermite polynomials. We explicitly construct a single zonal polynomial p ∈ Pn with property that each f ∈ Pn can be reconstructed as a sum of its projections onto the orbit of p under SO(d) (symmetries of the w...

Correlation Coefficient: Association between Two Continuous Variables

Many statistical analyses can be undertaken to examine the relationship between two continuous variables within a group of subjects. Two of the main purposes of such analyses are: To assess whether the two variables are associated. There is no distinction between the two variables and no causation is implied, simply association. To enable the value of one variable to be predicted from any known...

A Correlation for Estimating LCPC Abrasivity Coefficient using Rock Properties

Rock abrasivity, as one of the most important parameters affecting the rock drillability, significantly influences the drilling rate in mines. Therefore, rock abrasivity should be carefully evaluated prior to selecting and employing drilling machines. Since the tests for a rock abrasivity assessment require sophisticated laboratory equipment, empirical models can be used to predict rock a...

Coefficient Estimates for a New Subclasses of m-fold Symmetric Bi-Univalent Functions

The purpose of the present paper is to introduce two new subclasses of the function class ∑m  of bi-univalent functions which both f  and f-1  are m-fold symmetric analytic functions. Furthermore, we obtain estimates on the initial coefficients for functions in each of these new subclasses. Also we explain the relation between our results with earlier known results.

A New Correlation for Drag Coefficient of Extrudate Quadralobe Particles by CFD Simulation