Integrable system

Related lectures (32)

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Explores the Fubini theorem for integrability in two variables and emphasizes the significance of the order of integration.

Explores the properties of conditional expectation and its extension to positive variables.

Explores uniform integrability, convergence theorems, and the importance of bounded sequences in understanding the convergence of random variables.

Covers the properties of Riemann integrals and comparisons between integrals.

Covers the properties of Riemann integrals and introduces the concept of average value of a function.

Explores continuous functions and integrability through practical examples.

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Explores cylindrical coordinates, integrability, and volume calculations using examples.

Covers the integration of functions in several variables, Darboux sums, and Fubini's theorem on a closed box.

Covers integrability, anti-derivatives, and integration by parts in calculus.