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Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

Open Graph Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

X Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

Open Graph Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

X Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

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README.mdhttps://github.com/ratwolfzero/hopalong_python/blob/main/README.md
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hopalong_basic.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic.py
hopalong_basic.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic.py
hopalong_basic_2D_3D.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic_2D_3D.py
hopalong_basic_2D_3D.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic_2D_3D.py
hopalong_extended.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_extended.py
hopalong_extended.pyhttps://github.com/ratwolfzero/hopalong_python/blob/main/hopalong_extended.py
READMEhttps://github.com/ratwolfzero/hopalong_python
MIT licensehttps://github.com/ratwolfzero/hopalong_python
https://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_0.png
Calculate & Visualize the Hopalong Attractor with Pythonhttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
Abstracthttps://github.com/ratwolfzero/hopalong_python#abstract
Historical Contexthttps://github.com/ratwolfzero/hopalong_python#historical-context
The Hopalong Attractor Functionshttps://github.com/ratwolfzero/hopalong_python#the-hopalong-attractor-functions
Computational Approachhttps://github.com/ratwolfzero/hopalong_python#computational-approach
Requirementshttps://github.com/ratwolfzero/hopalong_python#requirements
Usagehttps://github.com/ratwolfzero/hopalong_python#usage
Inputhttps://github.com/ratwolfzero/hopalong_python#input
Outputhttps://github.com/ratwolfzero/hopalong_python#output
Features, Functionality, and Special Scenarioshttps://github.com/ratwolfzero/hopalong_python#features-functionality-and-special-scenarios
Program Variantshttps://github.com/ratwolfzero/hopalong_python#program-variants
Pixel-Based Density Approximationhttps://github.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Comparison of Pixel-Based Density Approximation vs. Histogram-Based Density Estimationhttps://github.com/ratwolfzero/hopalong_python#comparison-of-pixel-based-density-approximation-vs-histogram-based-density-estimation
Pixel-Based Approximationhttps://github.com/ratwolfzero/hopalong_python#pixel-based-approximation
Histogram-Based Estimationhttps://github.com/ratwolfzero/hopalong_python#histogram-based-estimation
Visualization of Aggregated Density Distributionhttps://github.com/ratwolfzero/hopalong_python#visualization-of-aggregated-density-distribution
Summaryhttps://github.com/ratwolfzero/hopalong_python#summary
Conclusionshttps://github.com/ratwolfzero/hopalong_python#conclusions
Application of Copysign (Math Module) as a Signum Functionhttps://github.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
Special Constellations and Edge Cases of the Attractorhttps://github.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
Optional Featureshttps://github.com/ratwolfzero/hopalong_python#optional-features
Performance Optimizationhttps://github.com/ratwolfzero/hopalong_python#performance-optimization
Just-In-Time Compilation (JIT)https://github.com/ratwolfzero/hopalong_python#just-in-time-compilation-jit
Dummy Callshttps://github.com/ratwolfzero/hopalong_python#dummy-calls
Parallelization and Race Conditionshttps://github.com/ratwolfzero/hopalong_python#parallelization-and-race-conditions
Two-Pass Approachhttps://github.com/ratwolfzero/hopalong_python#two-pass-approach
Two-Pass Code Sectionhttps://github.com/ratwolfzero/hopalong_python#two-pass-code-section
Alternative Solutionshttps://github.com/ratwolfzero/hopalong_python#alternative-solutions
One-Pass Approach with Full Trajectory Caching*https://github.com/ratwolfzero/hopalong_python#one-pass-approach-with-full-trajectory-caching
One-Pass Approach with Limited Memory Usage (Chunked or No Caching)*https://github.com/ratwolfzero/hopalong_python#one-pass-approach-with-limited-memory-usage-chunked-or-no-caching
Potentially Other, More Sophisticated Solutionshttps://github.com/ratwolfzero/hopalong_python#potentially-other-more-sophisticated-solutions
Recaphttps://github.com/ratwolfzero/hopalong_python#recap
Recent Code Changeshttps://github.com/ratwolfzero/hopalong_python#recent-code-changes
Enjoy the Explorationhttps://github.com/ratwolfzero/hopalong_python#enjoy-the-exploration
Licensehttps://github.com/ratwolfzero/hopalong_python#license
Referenceshttps://github.com/ratwolfzero/hopalong_python#references
References for Python Libraries and Moduleshttps://github.com/ratwolfzero/hopalong_python#references-for-python-libraries-and-modules
Mathematical Appendixhttps://github.com/ratwolfzero/hopalong_python#mathematical-appendix
Notations for Pixel-Based Density Approximationhttps://github.com/ratwolfzero/hopalong_python#notations-for-pixel-based-density-approximation
Continuous to Discrete Mappinghttps://github.com/ratwolfzero/hopalong_python#continuous-to-discrete-mapping
Tracking of Density Accumulationhttps://github.com/ratwolfzero/hopalong_python#tracking-of-density-accumulation
Total Hit Counthttps://github.com/ratwolfzero/hopalong_python#total-hit-count
https://github.com/ratwolfzero/hopalong_python#abstract
https://github.com/ratwolfzero/hopalong_python#historical-context
2https://github.com/ratwolfzero/hopalong_python#references
3https://github.com/ratwolfzero/hopalong_python#references
https://github.com/ratwolfzero/hopalong_python#the-hopalong-attractor-functions
2https://github.com/ratwolfzero/hopalong_python#references
math.copysign()https://github.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
https://github.com/ratwolfzero/hopalong_python#computational-approach
Pixel-Based Density Approximationhttps://github.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Two-Pass Approachhttps://github.com/ratwolfzero/hopalong_python#two-pass-approach
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#requirements
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#usage
https://github.com/ratwolfzero/hopalong_python#input
https://github.com/ratwolfzero/hopalong_python#output
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_1.png
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_2.png
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_3.png
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_4.png
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#features-functionality-and-special-scenarios
https://github.com/ratwolfzero/hopalong_python#program-variants
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Mathematical Appendix:https://github.com/ratwolfzero/hopalong_python#mathematical-appendix
https://github.com/ratwolfzero/hopalong_python#comparison-of-pixel-based-density-approximation-vs-histogram-based-density-estimation
https://github.com/ratwolfzero/hopalong_python#pixel-based-approximation
https://github.com/ratwolfzero/hopalong_python#histogram-based-estimation
https://github.com/ratwolfzero/hopalong_python#visualization-of-aggregated-density-distribution
https://github.com/ratwolfzero/hopalong_python#summary
Two-Pass Approachhttps://github.com/ratwolfzero/hopalong_python#two-pass-approach
https://github.com/ratwolfzero/hopalong_python#conclusions
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_5.png
Special Constellations and Edge Caseshttps://github.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
https://github.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_6.png
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_7.png
https://github.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_8.png
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#optional-features
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#performance-optimization
https://github.com/ratwolfzero/hopalong_python#just-in-time-compilation-jit
https://github.com/ratwolfzero/hopalong_python#dummy-calls
https://github.com/ratwolfzero/hopalong_python#parallelization-and-race-conditions
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#two-pass-approach
https://github.com/ratwolfzero/hopalong_python#two-pass-code-section
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#alternative-solutions
https://github.com/ratwolfzero/hopalong_python#one-pass-approach-with-full-trajectory-caching
https://github.com/ratwolfzero/hopalong_python#one-pass-approach-with-limited-memory-usage-chunked-or-no-caching
https://github.com/ratwolfzero/hopalong_python#potentially-other-more-sophisticated-solutions
https://github.com/ratwolfzero/hopalong_python#recap
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#recent-code-changes
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#enjoy-the-exploration
Also check out my simpler Rust versionhttps://github.com/ratwolfzero/hopalong
https://github.com/ratwolfzero/hopalong_python#license
MIT Licensehttps://github.com/ratwolfzero/hopalong_python/blob/main/LICENSE
https://github.com/ratwolfzero/hopalong_python#references
Back to Abstracthttps://github.com/ratwolfzero/hopalong_python#abstract
https://github.com/ratwolfzero/hopalong_python#references-for-python-libraries-and-modules
NumPy Documentationhttps://numpy.org/doc/stable/
Matplotlib Documentationhttps://matplotlib.org/stable/contents.html
Numba Documentationhttps://numba.readthedocs.io/
Python Built-in Functionshttps://docs.python.org/3/library/functions.html
Python Math Modulehttps://docs.python.org/3/library/math.html
Python Time Modulehttps://docs.python.org/3/library/time.html#module-time
Python Resource Modulehttps://docs.python.org/3/library/resource.html
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://github.com/ratwolfzero/hopalong_python#mathematical-appendix
https://github.com/ratwolfzero/hopalong_python#notations-for-pixel-based-density-approximation
https://github.com/ratwolfzero/hopalong_python#continuous-to-discrete-mapping
https://github.com/ratwolfzero/hopalong_python#tracking-of-density-accumulation
https://github.com/ratwolfzero/hopalong_python#total-hit-count
Back to Pixel-Based Density Approximationhttps://github.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Back to Table of Contentshttps://github.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
github.com/ratwolfzero/hopalong_pythonhttps://github.com/ratwolfzero/hopalong_python
python https://github.com/topics/python
dynamics https://github.com/topics/dynamics
non-linear https://github.com/topics/non-linear
quantization https://github.com/topics/quantization
strange-attractors https://github.com/topics/strange-attractors
deterministic https://github.com/topics/deterministic
discretization https://github.com/topics/discretization
density-estimation https://github.com/topics/density-estimation
attractors https://github.com/topics/attractors
orbis https://github.com/topics/orbis
hopalong https://github.com/topics/hopalong
pixel-based https://github.com/topics/pixel-based
probability-density-function https://github.com/topics/probability-density-function
non-linear-dynamics https://github.com/topics/non-linear-dynamics
generative-methods https://github.com/topics/generative-methods
barry-martin https://github.com/topics/barry-martin
hopalong-attractor https://github.com/topics/hopalong-attractor
emergent-density https://github.com/topics/emergent-density
density-approximation https://github.com/topics/density-approximation
martin-map https://github.com/topics/martin-map
Readme https://github.com/ratwolfzero/hopalong_python#readme-ov-file
MIT license https://github.com/ratwolfzero/hopalong_python#MIT-1-ov-file
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1 watchinghttps://github.com/ratwolfzero/hopalong_python/watchers
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Report repository https://github.com/contact/report-content?content_url=https%3A%2F%2Fgithub.com%2Fratwolfzero%2Fhopalong_python&report=ratwolfzero+%28user%29
Releaseshttps://github.com/ratwolfzero/hopalong_python/releases
Packages 0https://github.com/users/ratwolfzero/packages?repo_name=hopalong_python
Python 100.0% https://github.com/ratwolfzero/hopalong_python/search?l=python
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Termshttps://docs.github.com/site-policy/github-terms/github-terms-of-service
Privacyhttps://docs.github.com/site-policy/privacy-policies/github-privacy-statement
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Statushttps://www.githubstatus.com/
Communityhttps://github.community/
Docshttps://docs.github.com/
Contacthttps://support.github.com?tags=dotcom-footer

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URLs of crawlers that visited me.