Projects with this topic
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Generate python scaffolding for root, nested or lib projects in Linux or Windows.
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Web outside of Browsers (core, site modules and applications)
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Production-minded Kubernetes platform with GitLab CI/CD, Docker, Helm, Prometheus, Grafana and Trivy security scanning.
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Mirror from https://github.com/Fabio3rs/BibliothecaPatristica Digitalização e indexação do corpus patrístico (Patrologia Graeca, Latina e Orientalis) com OCR, resumos e keywords em português, usando Tesseract, OpenCV e LLMs.
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TP Simplon ~ Déploiement continu de l'app Flask sur Azure Container Apps via GitLab CI, authentifié en OIDC (sans secrets).
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Developer container images.
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bam is a YAML-based task runner with content-addressed caching — tasks only re-run when their inputs actually change.
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The project is an interactive, living book dedicated to reconstructing Archimedes’ Measurement of a Circle (Circuli Dimensio) using the original geometric proportions. By employing SageMath for symbolic validation, alongside Python, Julia and Perl for high-precision numerical calculations using libraries for decimal and arbitrary-precision arithmetic, the project bypasses modern algebraic transformations and demonstrates the accuracy of ancient geometric concepts.
Beyond Archimedes' original derivations, the project bridges the gap to modern approaches for calculating π. It demonstrates how Archimedes' four determination equations can be translated into modern notation like a super-radical, a product formula and a summation formula. To achieve this, the four equations were systematically reduced to a single unified equation. This step opens the door to further developments and serves as the link between geometry and algebra.
Using a specialized mathematical gain function, the system creates a dynamic bridge between ancient geometry and modern infinite series such as those of Ramanujan and Chudnovsky or the π formula of Saha and Sinha. Particular emphasis is placed on this new π formula, as it is more than it appears at first glance. By precisely handling the λ parameter the optimized approach achieves absolute numerical stability in getting hundreds or more of error-free decimal places. It is demonstrated, among other things, that the maximum gain in decimal places is achieved when the chosen value of λ equals the maximum number of iterations.
A key highlight is that the derived concept based on Archimedes allows the fundamental re-examination of every existing approach. E.g. the equations found on Wikipedia have been consolidated into a single equation as well as the BPS algorithm can also be reduced to a single equation. Furthermore, the work of Snellius and Dörrie can also be incorporated into the geometry of Archimedes.
And much more!
Archimedes circle pi Archimedes's... circle constant Python SageMath notes history-of-m... equation-der... Ludolph's co... Ludolph's nu... Ludolphine n... The Circular... Incircle Circumcircle newton borwein chudnovsky archimedes-c... ludolphs-con... ludolphs-number circular-ratio madhava nilakantha ramanujan leibniz jupyter-note... jupyter gain-function super-radical Gaussian Pro... symbolic-math pfaff thales bailey Plouffe Heegner sinha-saha Taylor Summation Fo... Expansion Se... Julia Perl doerrie snellius Cusanus euler Ramanuja-Sato gain-curve Bellard Product formula infinite-series basel-problem Wallis stirling Eudoxus euclid PythagorasUpdated -
Visualizer for databricks bundle plan output, colored terminal diffs and interactive DAG diagrams.
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Backend qui gère & contient les données des adhérents à la V.A.
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Command-line JSON querying
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Master thesis: free and open-source hands-free cursor control through gaze and facial gestures, for people with severe motor paralysis.
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Fast, consistent IP/MAC/hostname anonymiser for tcpdump captures. Stable pseudonyms across runs via a persistent translation table, with UDP/IPv4, direction, interface and BAPS/TSPI filters. Stdlib-only Python, packaged for Debian 13.
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Open Satellite Data Application
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Developers, Build your backends in record time! Deploy at scale with serverless technology. Self-host, install on any cloud or use our hosted platform. Open source, low code.
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git-cola: The highly caffeinated Git GUI
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