Lectures related to Generalized continued fraction

Covers the Inverse Laplace Transform and its applications in finding projections from the Laplace domain to the time domain.

Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Explores the properties of the natural logarithm function and its graphical representation.

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Covers the definition of generating functions and their application in solving recurrence relations.

Explores heterogeneous catalysis, focusing on reaction mechanisms, kinetics, and ammonia synthesis.

Covers the integration of rational functions, including the decomposition into partial fractions and the use of complex zeros.

Covers the response of an overdamped second-order system to a step input.

Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Covers the decomposition of fractions into simple terms and provides a corollary proof related to the convergence of integrals.

Covers the definition of beam geometry and internal forces diagrams.

Explores foundry casting conditions, defects reduction, and Chvorinov's thermal analysis theory in the foundry process.

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Covers the concept of continuity, providing examples and definitions of continuous functions.