Fatigue life prediction skill for implants and load-bearing devices using validated approaches

Aspen Plus integration skill for steady-state process simulation, thermodynamic modeling, and equipment rating

Distillation column design skill for tray/packing selection, hydraulic analysis, and column optimization

Process equipment sizing skill using established engineering correlations and standards

Material and energy balance calculation skill for process design and troubleshooting

Heat integration analysis skill using pinch technology for energy targeting and heat exchanger network design

Process economics estimation skill for capital costs, operating costs, and profitability analysis

Pressure relief system design skill for PSV sizing, flare header analysis, and overpressure protection

Process scale-up analysis skill for dimensional analysis, similarity criteria, and pilot-to-production transitions

Soil bearing capacity calculation skill using multiple methods for various foundation types

Civil 3D surface analysis skill for terrain modeling, earthwork, and drainage analysis

Reinforced concrete design skill for flexure, shear, and serviceability calculations per ACI 318

Critical Path Method scheduling skill for construction schedule development and analysis

Detention/retention pond design skill for storage, outlet structures, and emergency spillways

Earth pressure calculation skill for retaining structures using classical and seismic methods

Finite Element Analysis skill for linear and nonlinear structural analysis, modal analysis, and load combination processing

Hydrologic modeling skill for rainfall-runoff analysis, flood frequency, and watershed analysis

Construction quantity takeoff skill for concrete, steel, earthwork, and materials

Cross-sectional property calculation skill for structural sections including standard and custom shapes

Foundation settlement calculation skill for immediate, consolidation, and secondary compression

Slope stability analysis skill using limit equilibrium methods for static and seismic conditions

Soil classification skill using USCS and AASHTO systems with SPT correlations

Traffic simulation skill for microsimulation, level of service, and signal optimization

Apply amortized analysis techniques including aggregate, accounting, and potential methods

Analyze randomized algorithms with probability theory tools and concentration inequalities

Solve recurrence relations using multiple methods including Master Theorem and generating functions

Analyze and organize related work for theoretical CS papers

Interface with SMT solvers for verification and synthesis

Interface with interactive theorem provers for mechanized verification

Simulate Turing machines for computability analysis and algorithm demonstration

Electronic system thermal modeling and analysis skill for junction temperature calculation, heat sink selection, thermal resistance networks, and safe operating area verification.

Expert skill for membrane filtration and separation system design including process selection, flux calculations, fouling analysis, and concentrate management.

Advanced skill for crystallographic structure analysis and determination including space group identification, atomic position refinement, and PDF analysis

Skill for surface composition, chemical state, and topography analysis including XPS depth profiling, AFM imaging, and contact angle measurements

Search and analyze mathematical literature on arXiv

Interface with Coq proof assistant for formal verification

Mathematical diagram and visualization generation

Interface with Isabelle/HOL for classical mathematics formalization

MCMC convergence diagnostics and analysis

Numerical methods for ordinary differential equations

Robust statistical methods resistant to outliers

SageMath for comprehensive mathematical computation

Symbolic computation using SymPy for Python-based mathematical analysis

Interface with zbMATH Open database

Systematic failure analysis methodology for mechanical component failures

Skill for HVAC system design and analysis per ASHRAE standards including load calculations, equipment selection, and energy efficiency analysis

Skill for dimensional tolerance analysis and stack-up calculations

Expert skill for modal analysis, frequency response, and vibration characterization of mechanical systems

Atomic Force Microscopy and Scanning Probe Microscopy skill for nanoscale topography, mechanical, and electrical property mapping

Workflow automation skill for orchestrating multi-technique characterization sequences