Factored Notation for Interval I/O

Title: Factored Notation for Interval I/O

Abstract: This research paper introduces a new notation called "factored notation" for representing intervals in the context of interval arithmetic and constraints. The main goal of this notation is to make it easier to read and understand intervals, especially when dealing with large amounts of interval data. The authors compare the new notation to the traditional notation and discuss its advantages, such as improved readability and better control over the precision of the interval width.

Main Research Question: How can we improve the notation for representing intervals in interval arithmetic and constraints to make it easier to read and understand, especially when dealing with large amounts of data?

Methodology: The authors compare the new factored notation to the traditional notation and discuss its advantages, such as improved readability and better control over the precision of the interval width. They also provide examples to illustrate the differences between the two notations.

Results: The authors show that the factored notation is more compact and easier to read than the traditional notation. They also demonstrate that it allows for a better trade-off between the interval width and ease of reading by using the information yield (in the sense of information theory) of the last decimal shown.

Implications: The introduction of factored notation can have several implications for the field of interval arithmetic and constraints. It can make it easier to read and understand interval data, especially when dealing with large amounts of data. Additionally, it can provide a better way to control the precision of the interval width, which can be particularly useful in applications where precision is important.

Conclusion: In conclusion, the factored notation is a promising new approach to representing intervals in interval arithmetic and constraints. It offers several advantages over the traditional notation, including improved readability and better control over the precision of the interval width. This can make it easier to work with interval data, especially when dealing with large amounts of data.

Link to Article: https://arxiv.org/abs/0102023v1 Authors: arXiv ID: 0102023v1