This investigation concerns the repeated application of the rule "take the sum of the squares of the digits." (MP)

Four different types of problems from graph theory are presented and discussed. (MK)

Several algorithms for solving initial value differential equation problems using the definitions of derivative and integral and a computer are discussed. (MN)

Reviews the mathematical properties of algorithms and problems which can not be resolved by present methods in mathematics. (SL)

A rationale is given for the Russian-peasant algorithm for multiplication indicating why it works as well as how it works. (DT)

After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…

Suggests and illustrates ways in which systematic consideration of selected unary operations can be facilitated by using electronic calculators. Emphasis is placed upon unary operations suitable for exploration and investigation at the pre-algebra level, using calculation algorithms as a basis for generating examples and non-examples to develop…

Chio's method of evaluating determinants by successive reduction of size is explained. (MN)

In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)