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Nuclear Fusion Nuclear & Particle Physics MeV (Mega-electronvolts) A nuclear reaction in which two light atomic nuclei collide and combine to form a single heavier nucleus, releasing vast amounts of energy. ²₁H + ³₁H → ⁴₂He + ¹₀n + 17.6 MeV Nuclear Reactor Nuclear & Particle Physics MWth or MWe (Power Capacity) An engineered facility in which a controlled self-sustaining nuclear chain reaction is maintained to generate thermal energy for electrical power generation. Multiplication Factor k = Neutrons in generation (i+1) / Neutrons in generation i Nuclear Shell Model Nuclear & Particle Physics Quantized Energy Shells A quantum nuclear model describing nuclear energy levels in terms of individual nucleons moving inside a central potential well with strong spin-orbit coupling. Magic Numbers: 2, 8, 20, 28, 50, 82, 126 Nuclear Stability Nuclear & Particle Physics Dimensionless N/Z Ratio A measure of a nuclide's resistance to spontaneous radioactive decay, determined by the balance between nuclear strong attraction and proton Coulomb repulsion. N/Z ≈ 1 (for light nuclei), N/Z ≈ 1.5 (for heavy nuclei) Null Vector Foundations of Physics Various A vector having zero magnitude and an arbitrary or indeterminate direction. 0 = 0i + 0j + 0k Numerical Linear Algebra Mathematical & Computational Physics Matrix Factorization Algorithms The subfield of numerical analysis studying algorithms for performing matrix operations efficiently and accurately on digital computers. LU: A = L U, QR: A = Q R, SVD: A = U Σ V^T Numerical Stability Mathematical & Computational Physics Algorithm Stability Property The property of a numerical algorithm ensuring that errors introduced during computation do not magnify uncontrollably over successive time steps. Von Neumann Stability Analysis: |G(k, Δt)| ≤ 1 Nutation Geophysics & Environmental Physics Arcseconds (17.2″ in longitude, 9.2″ in obliquity) Small periodic nodding oscillations superimposed upon Earth's long-term rotational axis precession. Principal Nutation Period T = 18.6 years, Amplitude = 9.2″