Lectures related to Spherical segment

Surface Tension and Wetting: Solid/Liquid/Gas Interfaces

Explores surface tension, wetting, and the law of Laplace at interfaces.

Advanced Analysis II: Laplacian and Coordinates

Covers the Laplacian operator in different coordinate systems and its applications in differential equations.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Stokes Formula: Streamfunction in Spherical Geometry

Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.

Learning Sparse Features: Overfitting in Neural Networks

Discusses how learning sparse features can lead to overfitting in neural networks despite empirical evidence of generalization.

Lens Surfaces and Image Formation

Explains how to find the position and nature of images formed by lenses.

Conicité Parabolique

Explores the characteristics of parabolic conicity and demonstrates how to address related issues.

Geometric Constraints

Explores how to handle mechanical problems with geometric constraints and associated forces.

Heat Conduction in Spherical Geometry

Analyzes heat conduction in non-planar geometry using a submarine example.

Triple Integrals: Properties and Calculations

Covers the definition of triple integrals, properties, and calculation methods.

Electric Field Representation: Field Lines & Charges

Explores electric field visualization, evaluation, and charge distribution transition, emphasizing the importance of symmetry analysis in calculations.

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Rotations: Fixed Points and Spherical Coordinates

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Introduction to Euclidean Elements

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Cylindrical and Spherical Coordinates, Rotations

Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.

Introduction to Euclidean Geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

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Condensation Process

Explores the computation of gamma LV and the growth of a single drop during the condensation process, highlighting the challenges of nucleation theory.

Dew Formation and Evaporation

Delves into dew formation, evaporation, and their diverse impacts on meteorology, hydrology, botany, and agriculture.