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Related lectures (32)

Covers Jensen's inequality, stating that the convex function of the average is less than or equal to the average of the function.

Solid Mechanics Principles: Greens Functions & Superposition

Explores Greens functions, superposition, and displacement fields in solid mechanics.

Passivity, Stability and Circle Criterion

Explores passivity, stability, and circle criterion in control systems, emphasizing system behavior and design considerations.

Mathematics: Basics and Applications

Covers the basics of mathematics and its applications in architecture.

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Modern Cosmology Basics

Explores the impact of COVID-19 on astronomy and the European Southern Observatory, delves into the Friedmann equations, and discusses the concept of dark energy.

Geometric Transformations: Translation and Homothety

Explores geometric transformations like translation and homothety in the plane.

Differentiability in R²

Explores differentiability in R², discussing key properties and the theorem of the two genderines.

Stochastic Simulation: Rare Events and Crude Monte Carlo

Explores stochastic simulation, rare events, and the Crude Monte Carlo method, emphasizing the importance of thresholds and closed-form expressions.

Step Functions: Composition and Examples

Covers the concept of step functions and their composition through various mathematical expressions.

Equations and Inequalities on the Reals

Covers algebraic identities, linear equations, and rational inequations on the real numbers.

Chemical Reactions: Stoichiometry and Enthalpy

Covers stoichiometry, reaction enthalpy, bond dissociation, and progress variables in chemical reactions.

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