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• Functional analysis
• Analysis
• Operator theory
• Operator algebras
• John Robert Ringrose
• Graduate Studies in Mathematics
• Algebra over a field
• Algebra
• C*-algebra
• Banach algebra

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• Aerodynamics
• Fluid dynamics
• Mathematical analysis
• Physics
• Engineering
• Partial differential equations
• Vortex
• Euler equations
• Beltrami equation

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• String theory
• Supersymmetry
• Physics beyond the Standard Model
• Theoretical physics
• Mathematical physics
• CalabiYau manifold
• Supergravity
• Mirror symmetry
• Instanton
• F-theory
• Moduli
• Superpotential

Andrei Rodin, Constructive Axiomatic Method and Modern Physics In 1900 David Hilbert announced his famous list of then-opened mathematical problems; the problem number 6 in this list is the axioma

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• Partial differential equations
• Multivariable calculus
• Differential calculus
• Mathematical physics

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• Fourier analysis
• Signal processing
• XT
• Spectral density
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• Electrical engineering
• Physics

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• Topology
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• Theoretical physics
• Mathematical physics
• Algebraic topology
• Quantum field theory
• Topological quantum field theory
• Geometric topology
• Floer homology
• Cobordism
• Manifold
• Surface