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…

The Russian-peasant algorithm for multiplication is described and then extended to developing an algorithm for renaming base ten numbers in other number bases. (DT)

Patterns for a set of Napiers Bones and for a denominate number slide rule are provided, with instructions on how to use each of the calculating instruments. (DT)

Proposes algorithmic method of searching and presents experimental data testing efficacy of using Boolean negation to eliminate redundancy and reduce cognitive strain of communication barrier at human-computer interface. Cognitive information processes, concept of Boolean NOT, and problem-solving behavior are explored. Twenty-five references are…

The concept of Thai soundex system for name search as method of information retrieval is developed and evaluated by extending and modifying Odell and Russell soundex system to fit specific characteristics of Thai language. Thai consonants, letter codes, and evaluation of system in name file of 61,215 records are highlighted. (EJS)

Presents uniform and efficient approach for processing all truncated query terms in information retrieval which requires one disk access to obtain from the permuted dictionary all strings represented by truncated term. The problem of the overhead storage required to implement the permuted dictionary is discussed. Fifteen references are provided.…

A strategy to make the transition from manipulative materials to a written algorithm for division is outlined in dialogue form. (MNS)

Presents an algorithm for use in online information retrieval which will generate a list of bibliographic citations derived from a preselected relevant document and which measures the relatedness of retrieved items to the preselected document. A test of the algorithm in retrieving medical literature is described. Two figures are included. (JL)

Analyzes the formal properties, structural consequences, similarities, and differences of link indicators, brackets, and cohesion separators in the query languages employed in information retrieval. Eleven figures, a 32-item reference list, and appendices on Extended Backus Notation and the formal definition of the Formal Relevance Language are…

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

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…

This report illustrates a simple, short, yet relatively little known partial check on addition that elementary school pupils can be lead to discover, and later taught to understand. The process can also be used for subtraction and is viewed as more useful than the traditional check of casting out nines. (MP)