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Signed-off-by: Ruslan Senatorov <55090151+ruslansenatorov@users.noreply.github.com>
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CITATION.cff

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cff-version: 1.2.0
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message: "If you use this project in research or academic work, please cite it using the information below."
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title: "Normal Equations Solver for Simple Linear Regression"
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version: "0.1.0"
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doi: "10.5281/zenodo.18818738"
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date-released: "2026-03-01"
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repository-code: "https://github.com/USERNAME/Normal-equations-solver-simple-linear-regression"
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license: MIT
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authors:
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- family-names: "Senatorov"
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given-names: "Ruslan"
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orcid: ""
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email: "t.me/RuslanSenatorov or youtube.com/SENATOROV"
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affiliation: "Independent Research"
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keywords:
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- optimization
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- Normal Equations
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- numerical-optimization
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- large-scale-optimization
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- machine-learning
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- Simple Linear Regression
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abstract: >
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This project provides a mathematically rigorous treatment and
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production-style implementation of the Normal Equations
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optimization algorithm, including theoretical derivation,
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convergence analysis, and numerical experiments.
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preferred-citation:
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type: report
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doi: "10.5281/zenodo.18818738"
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title: "L-BFGS Solver Course"
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authors:
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- family-names: "Senatorov"
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given-names: "Ruslan"
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year: 2026
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repository-code: "https://github.com/USERNAME/Normal-equations-solver-simple-linear-regression"
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CODE_OF_CONDUCT.md

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# Contributor Covenant Code of Conduct
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## Our Pledge
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We as members, contributors, and leaders pledge to make participation in our
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community a harassment-free experience for everyone, regardless of age, body
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size, visible or invisible disability, ethnicity, sex characteristics, gender
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identity and expression, level of experience, education, socio-economic status,
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nationality, personal appearance, race, religion, or sexual identity
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and orientation.
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We pledge to act and interact in ways that contribute to an open, welcoming,
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diverse, inclusive, and healthy community.
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## Our Standards
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Examples of behavior that contributes to a positive environment for our
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community include:
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* Demonstrating empathy and kindness toward other people
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* Being respectful of differing opinions, viewpoints, and experiences
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* Giving and gracefully accepting constructive feedback
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* Accepting responsibility and apologizing to those affected by our mistakes,
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and learning from the experience
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* Focusing on what is best not just for us as individuals, but for the
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overall community
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Examples of unacceptable behavior include:
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* The use of sexualized language or imagery, and sexual attention or
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advances of any kind
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* Trolling, insulting or derogatory comments, and personal or political attacks
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* Public or private harassment
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* Publishing others' private information, such as a physical or email
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address, without their explicit permission
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* Other conduct which could reasonably be considered inappropriate in a
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professional setting
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## Enforcement Responsibilities
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Community leaders are responsible for clarifying and enforcing our standards of
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acceptable behavior and will take appropriate and fair corrective action in
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response to any behavior that they deem inappropriate, threatening, offensive,
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or harmful.
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Community leaders have the right and responsibility to remove, edit, or reject
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comments, commits, code, wiki edits, issues, and other contributions that are
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not aligned to this Code of Conduct, and will communicate reasons for moderation
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decisions when appropriate.
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## Scope
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This Code of Conduct applies within all community spaces, and also applies when
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an individual is officially representing the community in public spaces.
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Examples of representing our community include using an official e-mail address,
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posting via an official social media account, or acting as an appointed
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representative at an online or offline event.
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## Enforcement
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Instances of abusive, harassing, or otherwise unacceptable behavior may be
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reported to the community leaders responsible for enforcement at
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.
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All complaints will be reviewed and investigated promptly and fairly.
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All community leaders are obligated to respect the privacy and security of the
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reporter of any incident.
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## Enforcement Guidelines
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Community leaders will follow these Community Impact Guidelines in determining
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the consequences for any action they deem in violation of this Code of Conduct:
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### 1. Correction
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**Community Impact**: Use of inappropriate language or other behavior deemed
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unprofessional or unwelcome in the community.
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**Consequence**: A private, written warning from community leaders, providing
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clarity around the nature of the violation and an explanation of why the
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behavior was inappropriate. A public apology may be requested.
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### 2. Warning
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**Community Impact**: A violation through a single incident or series
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of actions.
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**Consequence**: A warning with consequences for continued behavior. No
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interaction with the people involved, including unsolicited interaction with
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those enforcing the Code of Conduct, for a specified period of time. This
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includes avoiding interactions in community spaces as well as external channels
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like social media. Violating these terms may lead to a temporary or
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permanent ban.
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### 3. Temporary Ban
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**Community Impact**: A serious violation of community standards, including
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sustained inappropriate behavior.
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**Consequence**: A temporary ban from any sort of interaction or public
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communication with the community for a specified period of time. No public or
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private interaction with the people involved, including unsolicited interaction
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with those enforcing the Code of Conduct, is allowed during this period.
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Violating these terms may lead to a permanent ban.
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### 4. Permanent Ban
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**Community Impact**: Demonstrating a pattern of violation of community
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standards, including sustained inappropriate behavior, harassment of an
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individual, or aggression toward or disparagement of classes of individuals.
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**Consequence**: A permanent ban from any sort of public interaction within
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the community.
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## Attribution
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This Code of Conduct is adapted from the [Contributor Covenant][homepage],
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version 2.0, available at
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https://www.contributor-covenant.org/version/2/0/code_of_conduct.html.
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Community Impact Guidelines were inspired by [Mozilla's code of conduct
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enforcement ladder](https://github.com/mozilla/diversity).
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[homepage]: https://www.contributor-covenant.org
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For answers to common questions about this code of conduct, see the FAQ at
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https://www.contributor-covenant.org/faq. Translations are available at
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https://www.contributor-covenant.org/translations.

CONTRIBUTING.md

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# Contributing Guidelines
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Thank you for your interest in contributing to the **Solver Course** project.
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We welcome improvements in:
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- Mathematical derivations
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- Algorithm correctness
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- Numerical stability
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- Code quality
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- Benchmarking
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- Documentation
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- Tests
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- Performance improvements
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---
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## Project Philosophy
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This repository follows these principles:
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- Mathematical correctness first
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- Reproducible experiments
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- Clean and readable implementation
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- Minimal dependencies
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- Transparent optimization logic
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All contributions must respect these principles.
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---
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## How to Contribute
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### 1. Fork the Repository
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Fork the project and clone your fork locally:
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```bash
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git clone https://github.com/<your-username>/name-solver-course.git
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cd name-solver-course
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---
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### 2. Create a Feature Branch
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Always create a new branch for changes:
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```bash
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git checkout -b feature/your-feature-name
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```
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Branch naming examples:
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* `feature/improve-two-loop`
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* `feature/add-benchmark`
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* `fix/line-search-bug`
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* `docs/improve-theory`
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---
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### 3. Follow Code Standards
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* Use clear variable names
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* Add docstrings to functions
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* Keep functions small and modular
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* Avoid unnecessary abstraction
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Python style:
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```bash
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black .
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flake8 .
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pytest
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```
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---
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### 4. Add Tests (If Applicable)
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If your contribution modifies solver logic:
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* Add unit tests in `tests/`
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* Test numerical stability
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* Test convergence on quadratic functions
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Pull requests without tests (for code changes) may require review discussion.
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---
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### 5. Update Documentation
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If you modify:
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* Algorithm behavior → Update theory docs
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* API → Update README
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* Implementation → Update documentation accordingly
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Documentation must reflect code changes.
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---
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## Pull Request Process
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1. Push your branch:
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```bash
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git push origin feature/your-feature-name
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```
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2. Open a Pull Request.
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3. Include:
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* Description of change
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* Motivation
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* Benchmark results (if performance changes)
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* Test results
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---
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## Code Review Criteria
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Your PR will be reviewed based on:
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* Mathematical correctness
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* Numerical stability
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* Clean implementation
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* Test coverage
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* Documentation clarity
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---
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## Reporting Issues
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If you find:
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* Mathematical inconsistency
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* Implementation bug
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* Performance regression
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* Documentation error
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Open an Issue with:
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* Clear description
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* Minimal reproducible example
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* Expected vs actual behavior
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---
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## Code of Conduct
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Be respectful and constructive.
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Focus on:
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* Technical discussion
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* Algorithm improvement
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* Scientific correctness
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---
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Thank you for improving the project
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LICENSE

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MIT License
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Copyright (c) 2026 SenatorovAI - Школа Data Science
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.

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