oresme 0.1.0

Oresme numbers refer to the sums related to the harmonic series

Oresme

Oresme numbers refer to the sums related to the harmonic series.

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Tanım (Türkçe)

Oresme sayıları harmonik seriye ait toplamları ifade eder.

Description (English)

Oresme numbers refer to the sums related to the harmonic series.

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Kurulum (Türkçe) / Installation (English)

Python ile Kurulum / Install with pip, conda, mamba

pip install Oresme -U
python -m pip install -U Oresme
conda install bilgi::Oresme -y
mamba install bilgi::Oresme -y

- pip uninstall Oresme -y
+ pip install -U Oresme
+ python -m pip install -U Oresme

PyPI

Test Kurulumu / Test Installation

pip install -i https://test.pypi.org/simple/ Oresme -U

Github Master Kurulumu / GitHub Master Installation

Terminal:

pip install git+https://github.com/WhiteSymmetry/Oresme.git

Jupyter Lab, Notebook, Visual Studio Code:

!pip install git+https://github.com/WhiteSymmetry/Oresme.git
# or
%pip install git+https://github.com/WhiteSymmetry/Oresme.git

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Kullanım (Türkçe) / Usage (English)

import oresme as ore 

# Example 1: Generate Oresme sequence
print(ore.oresme_sequence(5))  # [0.5, 0.5, 0.375, 0.25, 0.15625]

# Example 2: Get exact harmonic numbers as fractions
print(ore.harmonic_numbers(3))  # [Fraction(1, 1), Fraction(3, 2), Fraction(11, 6)]

# Example 3: Calculate single harmonic number
print(ore.harmonic_number(5))  # 2.283333333333333

# Example 4: Approximate large harmonic number
print(ore.harmonic_number_approx(1_000_000))  # ≈14.392726722865724

# Example 5: Use generator
for i, h in enumerate(ore.harmonic_generator(3), 1):
    print(f"H_{i} = {h}")

# Example 6: NumPy vectorized version
print(ore.harmonic_numbers_numpy(5))  # [1. 1.5 1.833... 2.083... 2.283...]

[0.5, 0.5, 0.375, 0.25, 0.15625]
[Fraction(1, 1), Fraction(3, 2), Fraction(11, 6)]
2.283333333333333
14.392726722865808
H_1 = 1.0
H_2 = 1.5
H_3 = 1.8333333333333333
[1.         1.5        1.83333333 2.08333333 2.28333333]

import oresme
oresme.__version__

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Development

# Clone the repository
git clone https://github.com/WhiteSymmetry/Oresme.git
cd Oresme

# Install in development mode
python -m pip install -ve . # Install package in development mode

# Run tests
pytest

Notebook, Jupyterlab, Colab, Visual Studio Code
!python -m pip install git+https://github.com/WhiteSymmetry/Oresme.git

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Citation

If this library was useful to you in your research, please cite us. Following the GitHub citation standards, here is the recommended citation.

BibTeX

APA

Keçeci, M. (2025). Oresme. GZenodo. https://doi.org/

Chicago

Keçeci, Mehmet. "Oresme". Zenodo, 2025. https://doi.org/

Lisans (Türkçe) / License (English)

This project is licensed under the MIT License.