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Density of Intersecting Integer Circles and Bisection of Integer Angles
1
Introduction
2
Notions and Definitions
2.1
Integer Length and Integer Distance
2.2
Continued Fractions
2.3
Integer Angles
2.4
Integer Circles
2.5
Density of sets in the lattice
ℤ
2
\mathbb{Z}^{2}
2.6
Multiplicative Functions
3
Density of the Intersection of Integer Circles
4
Spectra of Circumscribed Centres
5
Inscribed Circles in Integer Geometry
6
Conclusion
A
Python Program for Example
3.1.4
B
Python Program for Example
3.1.6
C
Python for Example
3.1.15
D
Python for Example
3.1.16
E
Python for Example
3.1.20
F
Python for Example
3.2.2
Notions and Definitions
Chapter 2
Notions and Definitions
In this chapter, we introduce some background notions from integer geometry and number theory.
2.1
Integer Length and Integer Distance
2.2
Continued Fractions
2.3
Integer Angles
2.4
Integer Circles
2.5
Density of sets in the lattice
ℤ
2
\mathbb{Z}^{2}
2.6
Multiplicative Functions