Abstract
In this chapter, you start learning some basics about a few mathematical operations, including prime numbers and the Roman numeral system. Additionally, I present a couple of ideas for number games. With this knowledge, you should be well prepared for a multitude of exercises.
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Notes
- 1.
As an optimization, you actually only have to calculate up to the root. I briefly discuss this in the Possible optimizations practical tip.
- 2.
Interestingly the value 0 does not exist in Roman numerals.
- 3.
For syntactically invalid Roman numbers, such as IXD, an incorrect result, here 489, can be computed—by subtraction rule twice in a row: 0 − 1 − 10 + 500.
- 4.
Please consult my book Java – die Neuerungen in Version 9 bis 14: Modularisierung, Syntax- und API-Erweiterungen [Ind20b] for an overview of many relevant innovations in the current Java versions.
- 5.
For syntactically invalid Roman numbers, such as IXD, an incorrect result, here 489, can be computed—by subtraction rule twice in a row: 0 − 1 − 10 + 500.
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Inden, M. (2022). Mathematical Problems. In: Java Challenges. Apress, Berkeley, CA. https://doi.org/10.1007/978-1-4842-7395-1_2
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DOI: https://doi.org/10.1007/978-1-4842-7395-1_2
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