Representation of classifier distributions in terms of hypergeometric functions--颗粒学报PARTICUOLOGY

Venkoba Rao, B. (2007). Representation of classifier distributions in terms of hypergeometric functions. China Particuology, 5(4), 274–283. https://doi.org/10.1016/j.cpart.2007.05.003

Representation of classifier distributions in terms of hypergeometric functions

B. Venkoba Rao ^a *

a Engineering and Industrial Services, Tata Consultancy Services Ltd., 1 Mangaldas Road, Pune 411001, India

10.1016/j.cpart.2007.05.003

Volume 5, Issue 4, August 2007, Pages 274-283

Received 25 April 2007, Accepted 21 May 2007, Available online 17 July 2007.

E-mail: b.vrao@tcs.com

Highlights

Abstract

This paper derives alternative analytical expressions for classifier product distributions in terms of Gauss hypergeometric function, ₂F₁, by considering feed distribution defined in terms of Gates–Gaudin–Schumann function and efficiency curve defined in terms of a logistic function. It is shown that classifier distributions under dispersed conditions of classification pivot at a common size and the distributions are difference similar. The paper also addresses an inverse problem of classifier distributions wherein the feed distribution and efficiency curve are identified from the measured product distributions without needing to know the solid flow split of particles to any of the product streams.

Graphical abstract

Keywords

Classifier; Efficiency curve; Inverse problem

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