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Smooth arithmetic interpolation between addition and multiplication — based on hyperoperation theory

Project description

Arithmeflow

Smooth interpolation between addition and multiplication using a single parameter z.

Install

pip install arithmeflow

Usage

import arithmeflow

# Single value
result = arithmeflow.compute(3, 4, 1.5)
print(result)  # ~10.97

# Full curve
points = arithmeflow.curve(3, 4)
for z, val in points:
    print(f"z={z:.2f}  F={val:.4f}")

What it does

  • z = 1.0 → returns x + y (addition)
  • z = 2.0 → returns x * y (multiplication)
  • z = 1.5 → smooth midpoint between the two

Based on an original ODE framework with proven boundary conditions.

Links

Author

Dashmir Mejdi — mathematician and AI engineer

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