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GpnN Class

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see https://www.gnu.org/licenses/.

G2_13_dark The GpnN class is designed to facilitate operations with p-adic numbers, providing a comprehensive suite of functionalities for generating p-adic numbers, performing arithmetic operations, and conducting visual analyses among other advanced mathematical operations.

Features

  • Generate p-adic Numbers: Dynamically create p-adic numbers within specified constraints.
  • Arithmetic Operations: Perform addition, subtraction, multiplication, and division on p-adic numbers.
  • Export Functionality: Export p-adic numbers to a text file for external use.
  • Console Printing: Print p-adic numbers to the console for inspection.
  • Visual Representations: Generate visual representations of p-adic numbers and operations.
  • Monna Map Conversion: Convert p-adic numbers to real numbers.
  • Parisi Matrix Calculation: Compute and visualize the Parisi Matrix based on p-adic numbers.
  • Solving ODEs: Utilize ordinary differential equations to analyze p-adic number dynamics.
  • GIF Animation: Create GIF animations to visualize the behavior of p-adic numbers over time.

Initialization

from padics.GpnN import GpnN

# Initialize with a prime p, and bounds n and N
gpn = GpnN(p=5, n=-2, N=3)




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package of p-adic algorithms

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