Expert-level astrophysics covering stellar physics, galaxy formation, high-energy astrophysics, observational techniques, and the electromagnetic spectrum across wavelengths.
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Stellar structure: hydrostatic equilibrium, energy transport by radiation and convection. Nuclear burning: pp chain and CNO cycle produce energy in stellar cores. HR diagram: luminosity vs temperature, main sequence, giants, white dwarfs. Stellar evolution: main sequence to red giant to white dwarf or supernova. Stellar remnants: white dwarf, neutron star, black hole depending on mass.
Galaxy types: elliptical, spiral, irregular, lenticular. Dark matter halo: dominates mass, traced by rotation curves and lensing. Star formation: molecular clouds, Jeans criterion, feedback processes. AGN: active galactic nuclei, supermassive black hole accretion. Galaxy mergers: major and minor mergers, morphological transformation.
X-ray binaries: neutron star or black hole accreting from companion. Gamma-ray bursts: most energetic explosions, short from mergers and long from collapsars. Supernovae: Type Ia thermonuclear and Type II core collapse, distance indicators. Cosmic rays: high-energy particles, sources include SNR and AGN jets.
Photometry: measuring flux in broadband filters, magnitudes and colors. Spectroscopy: resolving spectral features, redshift, chemical abundances. Interferometry: combining multiple telescopes for higher angular resolution. Gravitational waves: LIGO and Virgo detect mergers of compact objects.
| Pitfall | Fix |
|---|---|
| Ignoring dust extinction | Apply reddening correction in optical and NIR |
| Confusing luminosity and flux | Convert to intrinsic luminosity using distance |
| Wrong cosmology for distance | Specify H0 and cosmological parameters used |
| Selection bias in samples | Characterize selection function of survey |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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