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on
1
Intro
2
Setting up the circle
3
Setting up the list
4
G Curves
5
The Lonely Variable
6
Step Size
7
Tmax
8
Lonely Line
9
Animation Loop
10
Rate Function
11
Update Runners Position
12
Check for Multiple Lonely Runners
13
Is Runner R Lonely
14
Calculating Distance
15
Distance Min
16
Update Record
17
Everyone Has Been Lonely
18
Extreme Case
19
Faster Speeds
20
Conclusion
Description:
Explore the intriguing Lonely Runner Conjecture in this 15-minute video from Let's Code Physics. Dive into the mathematical puzzle that's simple to understand and simulate, yet remains unproven. Learn how to set up the problem, implement G Curves, and create an animation loop to visualize the conjecture. Follow along as the video guides you through calculating distances, checking for lonely runners, and exploring extreme cases. Discover why this seemingly straightforward problem continues to challenge mathematicians, and gain insights into its implications for number theory and combinatorics.

The Lonely Runner Conjecture - Simulation and Explanation

Let's Code Physics
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