Lectures related to Geophysical definition of planet

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Exponential Family: Definition and Properties

Covers the Exponential Family, including its definition, sufficient statistics, and distribution properties.

Architecture Trade-offs in a Planet-scale Queueing System

Explores the trade-offs in a planet-scale queueing system, emphasizing the importance of relaxing semantics to manage complexity.

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Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Gravitational Forces: Orbits and Space Debris

Explores gravitational forces, satellite orbits, space debris, escape velocity, black holes, galaxy rotation, planet properties, and angular momentum.

Exponential Functions

Explores the properties of exponential functions, including growth, decay, and their relationship with logarithmic functions.

Exoplanets

Explores the definition, formation, discovery methods, and search for life of exoplanets, including the history of discoveries and the Drake Equation.

Continuity: Examples and Definitions

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

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Urban Resilient Territories: Challenges and Solutions

Delves into the challenges and successes of building resilient urban territories in alignment with planetary boundaries.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Sparsest Cut: ARV Theorem

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Uniqueness Results for Poisson Equation

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.