Lectures related to Volume of an n-ball

Covers volume and signal processing concepts in mathematical calculations and signal analysis.

Explores Fubini's theorem, extending integration to complex regions like closed unit balls.

Mixing Models: Quadratic & Cubic, Constraints, Transformations

Explores quadratic and cubic models, constraints, transformations, and representations in mixing models.

Isoperimetric Qualities: Inequalities & Proofs

Explores isoperimetric qualities, including Brunn-Rnkauskis inequality and Grünbaum's theorem, with proofs and examples.

Similarity of Convex Bodies

Explores the similarity of convex bodies, affine transformations, the Johen's Theover theorem, and KKT conditions.

Multidimensional Integration

Explores multidimensional integration, emphasizing the impact of integration order and showcasing volume calculations in various dimensions.

Double Integrals: Definitions and Properties

Covers the definitions and properties of double integrals over compact regions.

Volume Calculation in R^3

Covers the calculation of volumes of subsets in R^3 using double integrals.

Multiple Integrals: Techniques and Properties

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

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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.

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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.