","Mathematics is known for its resolute commitment to precision in definitions and statements. However, when words are pulled from the English language and given rigid mathematical definitions, the ...

Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. The journal ...

Abstract: Karhunen-Loeve (K-L) transform yields a set of uncorrelated random variables from a set of correlated random variables of a data vector. However, K-L transform is computationally not ...

where y i is the ith observed response value, x i is the ith vector of explanatory values, and 's are uncorrelated random variables with zero mean and a common variance. If the form of the regression ...

A continuous random variable is expanded as a sum of a sequence of uncorrelated random variables. These variables are principal dimensions in continuous scaling on a distance function, as an extension ...

We introduce a notion of median uncorrelation that is a natural extension of mean (linear) uncorrelation. A scalar random variable Y is median uncorrelated with a k-dimensional random vector X if and ...

ABSTRACT: A continuous random variable is expanded as a sum of a sequence of uncorrelated random variables. These variables are principal dimensions in continuous scaling on a distance function, as an ...