Lectures related to Geometric Property: Spectral Side

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers Fourier series, periodic functions, and Fourier transforms.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Introduces the fundamentals of functions in microcontroller programming, emphasizing naming rules and step-by-step development.

Covers the study of functions, focusing on convexity criteria within closed subintervals.

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers entropy, its definition, and its implications in thermodynamics.

Covers the definitions and notations related to functions.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Delves into functions on R^n, covering limits and partial differentiation.

Covers Python libraries, modules, scoping, functions, lambdas, and practical examples.

Covers conditions, loops, functions, and graphics in R programming with practical examples.

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.