Key Phrases - Statistically Improbable Phrases (SIPs):
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invariant spin field, stroboscopic averaging, flattening snakes, orbital tunes, transport quaternion, snake matching, snake scheme, stroboscopic average, normalized vertical amplitude, spill tune, polarized proton acceleration, snake angles, phase space amplitudes, spill motion, orbit tunes, betatron phase advance, imperfection resonances, single resonance model, spin perturbations, spin rotation angle, radiative polarization, accelerator chain, polarized proton beams, vertical optics, partial snake
Key Phrases - Capitalized Phrases (CAPs):
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Siberian Snakes, World Scientific, University of Michigan, Particle Accelerators, Polarization Team, Central Design Group, Proceedings of Polarized Protons, American Institute of Physics, Particle Accelerator School, Spin Time
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