COMPOSITION OF NUMERAL SYSTEMS ACROSS LANGUAGES (MATHEMATICAL PROBLEMS IN NUMBERS)

On the Representation of Natural Numbers in Positional Numeral Systems

In this paper we show that every natural number can be uniquely represented as a base-b numeral. The formalization is based on the proof presented in [11]. We also prove selected divisibility criteria in the base-10 numeral system. The notation and terminology used in this paper have been introduced in the One can prove the following propositions: (1) For all finite 0-sequences d, e of N holds ...

Numeral systems across languages support efficient communication: From approximate numerosity to recursion

Languages differ qualitatively in their numeral systems. At one extreme, some languages have a small set of number terms, which denote approximate or inexact numerosities; at the other extreme, many languages have forms for exact numerosities over a very large range, through a recursively defined counting system. What explains this variation? Here, we use computational analyses to explore the n...

Metacognitive (Rending) Strategies Across Languages and Techniques

Rarities in Numeral Systems

We present an extensive survey of rare structural properties in numeral systems in the world's languages, foremostly the question of rare number bases. The survey emphasizes comprehensiveness and status of evidence.

Segmentation of Handwritten Numeral Strings in Farsi and English Languages

A new method for segmentation of unconstrained handwritten numeral strings is proposed, and its performance in segmentation of handwritten Farsi and English numeral strings is compared. Our segmentation method uses a combination of features from the foreground and background of the image. In order to find foreground features, an algorithm based on skeleton tracing is introduced for the first ti...