Semi-continuity

Related lectures (31)

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Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Covers the method of separation of variables for solving differential equations, focusing on the construction and uniqueness of solutions.

Covers Jordan-measurable sets, Riemann-integrability, and function continuity on compact sets.

Explores the Intermediate Value Theorem, continuous functions, and the verification of their continuity in various examples.

Explores the extension of functions and the conditions for continuity.

Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.

Explains the definition of continuous functions and isolated points.

Discusses the importance of shape regularity in finite element analysis for accurate results.

Explains the concept of approaching a point to define the limit of a function.

Covers matrix diagonalization, compact sets, continuity of functions, and the Mandelbrot set.