♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ Real-Life Applications of Mathematics: ♣♣♣♣♣♣♣♣♣♣♣ ♣♣♣♣♣ (1)Algebra (2)Differential Equations and Fourier Analysis (3)Differential and Computational Geometry (4)Probability and Statistics (5)Numerical Analysis (6)Operations Research and Optimization ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (1)Algebra ●Computer Science ●Cryptology (and the Protection of financial accounts with encrypted codes) ●Scheduling tasks on processors in a heterogeneous multiprocessor computing network ●Alteration of pattern pieces for precise seam alignment ●Study of crystal symmetry in Chemistry (Group Theory) ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (2)Differential Equations (Ordinary and Partial) and Fourier Analysis ●Most of Physics and Engineering (esp. Electrical and Mechanical) ●Sound waves in air; linearized supersonic airflow ●Crystal growth ●Cryocooler modeling ●Casting of materials ●Materials science ●Electromagnetics analysis for detection by radar ●Material constitutive modeling and equation of state ●Underwater acoustic signal processing ●Predict the evolution of crystals growing in an industrial crystallizer ●Reentry simulations for the Space Shuttle ●Rocket launch trajectory analysis ●Trajectory prescribed path control and optimal control problems ●Motion of a space vehicle ●Aircraft landing field length Design and analysis of control systems for aircraft ●Underwater acoustic signal processing ●Nonlinear dynamics ●Large scale shock wave physics code development ●Material constitutive modeling and equation of state ●Molecular and cellular mechanisms of toxicity ●Transport and disposition of chemicals through the body ●Modeling of airflow over airplane bodies ●Photographic development (Eastman Kodak) ●Waves in composite media Immuno-assay chemistry for developing new blood tests ●Radio interferometry ●Free mesons in nuclear physics ●Seismic wave propagation in the earth (earthquakes) ●Heat transfer ●Airflow over airplane bodies (aerodynamics) ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (3)Differential and Computational Geometry ●Computer aided design of mechanical parts and assemblies ●Terrain modeling ●Molecular beam epotaxy modeling (computational geometry) ●Color balance in a photographic system ●Optics for design of a reflector Cryptology ●Airflow patterns in the respiratory tract ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (4)Probability and Statistics ●Calculation of insurance risks and price of insurance ●Analysis of statistical data taken by a census ●Reliability and uncertainty of large scale physical simulations ●Speech recognition ●Signal processing ●Computer network design ●Tracking and searching for submarines ●Estimation of ocean currents (geostatistics) ●Paint stripping using lasers ●Onset and progression of cancer and pre-malignant cells ●Determining launch schedules to establish and maintain prescribed satellite constellations (also uses Monte Carlo methods) ●Radar track initiation ●Aircraft survivability and effectiveness ●Color sample acceptance tolerance correlation and prediction ●Determination of sample sizes for color acceptability evaluation (uses advanced statistical methods) ●Underwater acoustic signal processing ●Reliability analysis of complex systems ●Radio interferometry ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (5)Numerical Analysis ●Estimation of ocean currents ●Modeling combustion flow in a coal power plant ●Airflow patterns in the respiratory tract (and diff. eqs.) ●Regional uptake of inhaled materials by respiratory tract ●Transport and disposition of chemicals through the body (and ODEs + PDEs) ●Molecular and cellular mechanisms of toxicity (and ODEs + PDEs) ●Reentry simulations for the Space Shuttle ●Trajectory prescribed path control and optimal control problems Shuttle/tank separation ●Scientific programming ●Modeling of airflow over airplane bodies ●Electromagnetics analysis for detection by radar ●Design and analysis of control systems for aircraft ●Electromagnetics ●Large scale shock wave physics code development ●Curve fitting of tabular data ♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣♣ (6)Operations Research and Optimization ●Network formulation of cut order planning problem ●Shade sorting of colored samples to an acceptable tolerance by hierarchical clustering ●Inventory control for factory parts ●Search for and tracking of submarines ●Motion of a space vehicle ●Aircraft survivability and effectiveness ●Interplanetary mission analysis ●Radio interferometry ●Scheduling tasks on processors in a heterogeneous multiprocessor computing network ●Microwave measurements analysis Coordinate measuring machine (optimization error modeling) ●Optics for design of a reflector ●Materials science ●Reliability and uncertainty of large scale physical simulations.
Posted on: Fri, 03 Oct 2014 05:50:57 +0000
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