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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>
23 lines
564 B
Python
23 lines
564 B
Python
"""Balanced‑ternary projection operator."""
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from __future__ import annotations
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import numpy as np
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def abacus_projection(x: np.ndarray) -> np.ndarray:
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"""Project a vector to the nearest balanced‑ternary lattice.
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Each element is rounded to -1, 0 or +1.
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"""
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return np.clip(np.round(x), -1, 1)
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def trlog(x: float) -> int:
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"""Balanced‑ternary logarithm index for positive scalars."""
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if x <= 0:
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raise ValueError("x must be positive")
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return int(np.round(np.log(x) / np.log(3)))
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__all__ = ["abacus_projection", "trlog"]
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