f5f1551964
Lucidia Math - Advanced mathematical engines: forge/ - Mathematical Foundations: - consciousness.py (650 lines) - Consciousness modeling - unified_geometry.py (402 lines) - Geometric transformations - advanced_tools.py (356 lines) - Advanced utilities - main.py (209 lines) - CLI orchestration - numbers.py, proofs.py, fractals.py, dimensions.py lab/ - Experimental Mathematics: - unified_geometry_engine.py (492 lines) - Geometry engine - amundson_equations.py (284 lines) - Custom equations - iterative_math_build.py (198 lines) - Iterative construction - trinary_logic.py (111 lines) - Three-valued logic - prime_explorer.py (108 lines) - Prime exploration - quantum_finance.py (83 lines) - Quantum finance models 3,664 lines of Python. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
39 lines
997 B
Python
39 lines
997 B
Python
"""Symbolic sine-wave superposition utilities."""
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from __future__ import annotations
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from typing import Iterable, Tuple
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import matplotlib.pyplot as plt
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import numpy as np
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Wave = Tuple[float, float, float] # frequency, phase, amplitude
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def superposition(waves: Iterable[Wave], samples: int = 1000) -> Tuple[np.ndarray, np.ndarray]:
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"""Compute the superposition of sine waves."""
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t = np.linspace(0, 2 * np.pi, samples)
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result = np.zeros_like(t)
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for freq, phase, amp in waves:
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result += amp * np.sin(freq * t + phase)
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return t, result
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def classify_wave(value: float, eps: float = 1e-3) -> str:
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"""Classify wave value into truth/false/paradox."""
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if value > eps:
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return "truth"
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if value < -eps:
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return "false"
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return "paradox"
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def plot_waves(waves: Iterable[Wave]) -> plt.Figure:
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t, result = superposition(waves)
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fig, ax = plt.subplots()
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ax.plot(t, result)
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ax.set_title("Sine wave superposition")
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return fig
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