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Volume of an n-ball
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Advanced analysis II: jordan-measurable sets
Explores Jordan-measurable sets and their properties, including volume calculations and change of variables in integrals.
Untitled
Extreme Values and Constraints
Explores extreme values, constraints, Riemann's integral interpretation, and volume calculations of parallelipipeds in mathematics.
Fluids and Electromagnetism
Explores fluid flow, Bernoulli's theorem violation, viscosity, and necessary force for rotating cylinders with different fluids.
Dynamics of Steady Euler Flows: New Results
Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.
Kinetic Theory: Distribution Function Evolution
Explores the evolution of the distribution function describing particles in phase space.
Euclidean Spaces: Properties and Concepts
Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.
Deformable Bodies: Stress Tensors and Divergence Theorem
Explores stress tensors and the divergence theorem in deformable bodies through examples and demonstrations.
Analytical Geometry: Mixed Product and Determinant
Covers the analytical expression of the mixed product and its applications.