Since computational procedure, processing equipment, and techniques are inert, nonhuman phenomena, only the man can be held accountable for decisions. There are three major limitations to the use of quantitative techniques in decision making: (1) The techniques used must be applicable to the problem and must reflect the purpose and scope of the…

The principal objects of the investigation reported were, first, to study qualitative probability relations on Boolean algebras, and secondly, to describe applications in the theories of probability logic, information, automata, and probabilistic measurement. The main contribution of this work is stated in 10 definitions and 20 theorems. The basic…

The major results of this dissertation are theorems to the effect that certain classes of relational structures are not axiomatizable by universal sentences. Some of the particular classes considered are theories of measurement in the sense of the Scott-Suppes definition while others are theories of measurement according to a natural…

This is a textbook, originally developed for scientists and engineers, which stresses the actual solutions of practical problems. Theorems are precisely stated, but the proofs are generally omitted. Sample contents include first-order equations, equations in the complex plane, irregular singular points, and numerical methods. A more recent idea,…

Clarifies the nature of sequential operations and explores some research in the area that has implications for the instructional designer. (Author)

As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)

The purpose of this note is to derive a simple formula which gives the correlation between shortened versions of two tests, based on the correlations between the longer tests. (Author)

Examples of problems based on the division of property mutually owned or mutually claimed are discussed. (DT)

A realistic mathematics problem dealing with vehicle requirements for moving household furnishings is presented. (JG)

Shows how the ideas propounded in the notion of Type/Token-Taken (T/TT) informetrics relate to ones that are already well known in informetrics and resolves some of the specific problems posed. (MES)

In optimal assembly of tests from item banks, linear programming (LP) models have proved to be very useful. Assembly by hand has become nearly impossible, but these LP techniques are able to find the best solutions, given the demands and needs of the test to be assembled and the specifics of the item bank from which it is assembled. However,…

The method of integration by parts is one of the most useful in integral calculus. Among the most important applications is the integration of differentials involving products, differentials in involving logarithms, and differentials involving inverse circular functions.