Expert-level geology covering plate tectonics, rock cycle, mineralogy, stratigraphy, geomorphology, structural geology, and economic geology.
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Lithospheric plates: rigid segments of crust and upper mantle. Divergent boundaries: plates move apart, new oceanic crust forms, rift valleys. Convergent boundaries: subduction zones, mountain building, volcanism. Transform boundaries: plates slide past each other, strike-slip faults. Driving mechanisms: mantle convection, ridge push, slab pull.
Igneous: crystallized from magma or lava — intrusive (slow, coarse) or extrusive (fast, fine). Sedimentary: lithified sediments — clastic, chemical, biochemical. Metamorphic: existing rock transformed by heat and pressure — foliated or non-foliated. Rock cycle: rocks transform between types through geological processes.
Mineral identification: hardness (Mohs), cleavage, fracture, luster, color, streak. Silicate minerals: most common — quartz, feldspar, mica, pyroxene, olivine. Non-silicates: carbonates, oxides, sulfides, halides, phosphates. Crystal systems: cubic, tetragonal, orthorhombic, hexagonal, monoclinic, triclinic.
Law of superposition: younger layers above older in undisturbed sequences. Relative dating: cross-cutting relationships, unconformities, fossil zones. Absolute dating: radiometric methods — U-Pb, K-Ar, Rb-Sr, C-14 for young material. Stratigraphic correlation: matching rock units across areas using index fossils.
Stress and strain: compressive, tensile, shear stress producing folds and faults. Faults: normal (extension), reverse (compression), strike-slip (shear). Folds: anticlines and synclines from compressional stress. Stereonet: plot structural data — strike, dip, lineations, fold axes.
| Pitfall | Fix |
|---|---|
| Confusing rock and mineral | Rocks are aggregates of minerals |
| Ignoring unconformities | They represent missing time in the record |
| Wrong fault sense of motion | Use offset markers to determine direction |
| Contamination in radiometric dating | Use isochron methods to detect open-system behavior |
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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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