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0108860bff
Create comprehensive research-lab pack structure with mathematical and quantum computing modules from blackroad-prism-console: Math Modules: - hilbert_core.py: Hilbert space symbolic reasoning - collatz/: Distributed Collatz conjecture verification - linmath/: Linear mathematics C library - lucidia_math_forge/: Symbolic proof engine - lucidia_math_lab/: Experimental mathematics Quantum Modules: - lucidia_quantum/: Quantum core - quantum_engine/: Circuit simulation Experiments: - br_math/: Gödel gap, quantum experiments Includes pack.yaml manifest and comprehensive README. 🤖 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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